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Sample records for logarithmic utility functions

  1. Mean-variance portfolio optimization by using time series approaches based on logarithmic utility function

    Science.gov (United States)

    Soeryana, E.; Fadhlina, N.; Sukono; Rusyaman, E.; Supian, S.

    2017-01-01

    Investments in stocks investors are also faced with the issue of risk, due to daily price of stock also fluctuate. For minimize the level of risk, investors usually forming an investment portfolio. Establishment of a portfolio consisting of several stocks are intended to get the optimal composition of the investment portfolio. This paper discussed about optimizing investment portfolio of Mean-Variance to stocks by using mean and volatility is not constant based on logarithmic utility function. Non constant mean analysed using models Autoregressive Moving Average (ARMA), while non constant volatility models are analysed using the Generalized Autoregressive Conditional heteroscedastic (GARCH). Optimization process is performed by using the Lagrangian multiplier technique. As a numerical illustration, the method is used to analyse some Islamic stocks in Indonesia. The expected result is to get the proportion of investment in each Islamic stock analysed.

  2. Some Bounds for the Logarithmic Function

    DEFF Research Database (Denmark)

    Topsøe, Flemming

    2007-01-01

    Development in continued fraction, rational approximations and orthogonal polynomials in relation to the logarithmic function are discussed.......Development in continued fraction, rational approximations and orthogonal polynomials in relation to the logarithmic function are discussed....

  3. Logarithms!

    Science.gov (United States)

    Mermin, N. David

    1980-01-01

    Written for teachers of "liberal arts physics," this article about logarithms outlines a way to review arithmetic skills in manipulating powers, discusses the attitude of physicists toward numbers, and gives an introduction to estimation. (MK)

  4. Timelike single-logarithm-resummed splitting functions

    Energy Technology Data Exchange (ETDEWEB)

    Albino, S.; Bolzoni, P.; Kniehl, B.A. [Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik; Kotikov, A.V. [Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik; Joint Inst. of Nuclear Research, Moscow (Russian Federation). Bogoliubov Lab. of Theoretical Physics

    2011-08-15

    We calculate the single logarithmic contributions to the quark singlet and gluon matrix of timelike splitting functions at all orders in the modified minimal-subtraction (MS) scheme. We fix two of the degrees of freedom of this matrix from the analogous results in the massive-gluon regularization scheme by using the relation between that scheme and the MS scheme. We determine this scheme transformation from the double logarithmic contributions to the timelike splitting functions and the coefficient functions of inclusive particle production in e{sup +}e{sup -} annihilation now available in both schemes. The remaining two degrees of freedom are fixed by reasonable physical assumptions. The results agree with the fixed-order results at next-to-next-to-leading order in the literature. (orig.)

  5. Completely monotonic functions related to logarithmic derivatives of entire functions

    DEFF Research Database (Denmark)

    Pedersen, Henrik Laurberg

    2011-01-01

    The logarithmic derivative l(x) of an entire function of genus p and having only non-positive zeros is represented in terms of a Stieltjes function. As a consequence, (-1)p(xml(x))(m+p) is a completely monotonic function for all m ≥ 0. This generalizes earlier results on complete monotonicity...... of functions related to Euler's psi-function. Applications to Barnes' multiple gamma functions are given....

  6. Some integral inequalities for logarithmically convex functions

    Directory of Open Access Journals (Sweden)

    Mevlüt Tunç

    2014-07-01

    Full Text Available The main aim of the present note is to establish new Hadamard like integral inequalities involving log-convex function. We also prove some Hadamard-type inequalities, and applications to the special means are given.

  7. Approximating Exponential and Logarithmic Functions Using Polynomial Interpolation

    Science.gov (United States)

    Gordon, Sheldon P.; Yang, Yajun

    2017-01-01

    This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…

  8. Using Logarithms to Explore Power and Exponential Functions.

    Science.gov (United States)

    Rahn, James R.; Berndes, Barry A.

    1994-01-01

    Discusses activities to help students make visual generalizations about power and exponential functions, methods to determine an approximate function represented by data using logarithms, hands-on activities, and student activity sheets. Includes a Pascal Turbo computer program which generates random numbers. (MKR)

  9. Approximating Exponential and Logarithmic Functions Using Polynomial Interpolation

    Science.gov (United States)

    Gordon, Sheldon P.; Yang, Yajun

    2017-01-01

    This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…

  10. HEISENBERG'S INEQUALITY AND LOGARITHMIC HEISENBERG'S INEQUALITY FOR AMBIGUITY FUNCTION

    Institute of Scientific and Technical Information of China (English)

    Tian Guji

    2000-01-01

    In this article we discuss the relation between Heisenberg's inequality and logarithmic Heisenberg's (entropy) inequality for ambiguity function. After building up a Heisenberg's inequality, we obtain a connection of variance with entropy by variational method. Using classical Taylor's expansion, we prove that the equality in Heisenberg's inequality holds if and only if the entropy of 2k - 1 order is equal to (2k - 1)!.

  11. On estimates of a fractional counterpart of the logarithmic derivative of a meromorphic function

    Directory of Open Access Journals (Sweden)

    I. E. Chyzhykov

    2013-04-01

    Full Text Available We consider the problem of finding lower bounds for growth of solutions of a fractional differential equation in the complex plane. We estimate a fractional integral of the logarithmic derivative of a meromorphic function.

  12. General Large Deviations and Functional Iterated Logarithm Law for Multivalued Stochastic Differential Equations

    OpenAIRE

    Ren, Jiagang; Wu, Jing; Zhang, Hua

    2015-01-01

    In this paper, we prove a large deviation principle of Freidlin-Wentzell's type for the multivalued stochastic differential equations. As an application, we derive a functional iterated logarithm law for the solutions of multivalued stochastic differential equations.

  13. Interpolation of the discrete logarithm in a finite field of characteristic two by Boolean functions

    DEFF Research Database (Denmark)

    Brandstaetter, Nina; Lange, Tanja; Winterhof, Arne

    2005-01-01

    We obtain bounds on degree, weight, and the maximal Fourier coefficient of Boolean functions interpolating the discrete logarithm in finite fields of characteristic two. These bounds complement earlier results for finite fields of odd characteristic.......We obtain bounds on degree, weight, and the maximal Fourier coefficient of Boolean functions interpolating the discrete logarithm in finite fields of characteristic two. These bounds complement earlier results for finite fields of odd characteristic....

  14. Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks

    Directory of Open Access Journals (Sweden)

    Mohammad Mehdi Mazarei

    2012-01-01

    Full Text Available This paper presents numerical solution of elliptic partial differential equations (Poisson's equation using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameter r. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable.

  15. Predicting recovery of cognitive function soon after stroke: differential modeling of logarithmic and linear regression.

    Science.gov (United States)

    Suzuki, Makoto; Sugimura, Yuko; Yamada, Sumio; Omori, Yoshitsugu; Miyamoto, Masaaki; Yamamoto, Jun-ichi

    2013-01-01

    Cognitive disorders in the acute stage of stroke are common and are important independent predictors of adverse outcome in the long term. Despite the impact of cognitive disorders on both patients and their families, it is still difficult to predict the extent or duration of cognitive impairments. The objective of the present study was, therefore, to provide data on predicting the recovery of cognitive function soon after stroke by differential modeling with logarithmic and linear regression. This study included two rounds of data collection comprising 57 stroke patients enrolled in the first round for the purpose of identifying the time course of cognitive recovery in the early-phase group data, and 43 stroke patients in the second round for the purpose of ensuring that the correlation of the early-phase group data applied to the prediction of each individual's degree of cognitive recovery. In the first round, Mini-Mental State Examination (MMSE) scores were assessed 3 times during hospitalization, and the scores were regressed on the logarithm and linear of time. In the second round, calculations of MMSE scores were made for the first two scoring times after admission to tailor the structures of logarithmic and linear regression formulae to fit an individual's degree of functional recovery. The time course of early-phase recovery for cognitive functions resembled both logarithmic and linear functions. However, MMSE scores sampled at two baseline points based on logarithmic regression modeling could estimate prediction of cognitive recovery more accurately than could linear regression modeling (logarithmic modeling, R(2) = 0.676, Plinear regression modeling, R(2) = 0.598, P<0.0001). Logarithmic modeling based on MMSE scores could accurately predict the recovery of cognitive function soon after the occurrence of stroke. This logarithmic modeling with mathematical procedures is simple enough to be adopted in daily clinical practice.

  16. Predicting recovery of cognitive function soon after stroke: differential modeling of logarithmic and linear regression.

    Directory of Open Access Journals (Sweden)

    Makoto Suzuki

    Full Text Available Cognitive disorders in the acute stage of stroke are common and are important independent predictors of adverse outcome in the long term. Despite the impact of cognitive disorders on both patients and their families, it is still difficult to predict the extent or duration of cognitive impairments. The objective of the present study was, therefore, to provide data on predicting the recovery of cognitive function soon after stroke by differential modeling with logarithmic and linear regression. This study included two rounds of data collection comprising 57 stroke patients enrolled in the first round for the purpose of identifying the time course of cognitive recovery in the early-phase group data, and 43 stroke patients in the second round for the purpose of ensuring that the correlation of the early-phase group data applied to the prediction of each individual's degree of cognitive recovery. In the first round, Mini-Mental State Examination (MMSE scores were assessed 3 times during hospitalization, and the scores were regressed on the logarithm and linear of time. In the second round, calculations of MMSE scores were made for the first two scoring times after admission to tailor the structures of logarithmic and linear regression formulae to fit an individual's degree of functional recovery. The time course of early-phase recovery for cognitive functions resembled both logarithmic and linear functions. However, MMSE scores sampled at two baseline points based on logarithmic regression modeling could estimate prediction of cognitive recovery more accurately than could linear regression modeling (logarithmic modeling, R(2 = 0.676, P<0.0001; linear regression modeling, R(2 = 0.598, P<0.0001. Logarithmic modeling based on MMSE scores could accurately predict the recovery of cognitive function soon after the occurrence of stroke. This logarithmic modeling with mathematical procedures is simple enough to be adopted in daily clinical practice.

  17. Links in Learning Logarithms

    Science.gov (United States)

    Kenney, Rachael; Kastberg, Signe

    2013-01-01

    Logarithms continue to play an important role in mathematics (most significantly in calculus), science, and engineering. It is therefore important for students to understand logarithms as real numbers as well as the characteristics of logarithmic functions. Exploration of challenges in understanding logarithms as real numbers and logarithmic…

  18. On modular invariant partition functions of conformal field theories with logarithmic operators

    CERN Document Server

    Flohr, M A

    1995-01-01

    We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = c(p,1) = 13-6(p+1/p), the ``border'' of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = c(p,1) which is similar to the A-D-E classification of c = 1 models.

  19. Biomedical Mathematics, Unit VII: Exponential and Logarithmic Functions. Student Text. Revised Version, 1977.

    Science.gov (United States)

    Biomedical Interdisciplinary Curriculum Project, Berkeley, CA.

    This collection of lessons, exercises, and experiments deals with exponential and logarithmic mathematical functions in the context of biomedical situations. Typical units in this collection provide discussion of the biomedical problem or setting, discussion of the mathematical concept, several example problems and solutions, and a set of problems…

  20. Stability of a Jensen Type Logarithmic Functional Equation on Restricted Domains and Its Asymptotic Behaviors

    Directory of Open Access Journals (Sweden)

    Chung Jae-Young

    2010-01-01

    Full Text Available Let be the set of positive real numbers, a Banach space, and , with . We prove the Hyers-Ulam stability of the Jensen type logarithmic functional inequality in restricted domains of the form for fixed with or and . As consequences of the results we obtain asymptotic behaviors of the inequality as .

  1. Stability of a Logarithmic Functional Equation in Distributions on a Restricted Domain

    Directory of Open Access Journals (Sweden)

    Jaeyoung Chung

    2013-01-01

    Full Text Available Let be the set of real numbers, , , and . As classical and versions of the Hyers-Ulam stability of the logarithmic type functional equation in a restricted domain, we consider the following inequalities: , and in the sectors . As consequences of the results, we obtain asymptotic behaviors of the previous inequalities. We also consider its distributional version , where , , , , , and the inequality means that for all test functions .

  2. Coset construction of logarithmic minimal models: branching rules and branching functions

    CERN Document Server

    Pearce, Paul A

    2013-01-01

    Working in the Virasoro picture, it is argued that the logarithmic minimal models LM(p,p')=LM(p,p';1) can be extended to an infinite hierarchy of logarithmic conformal field theories LM(p,p';n) at higher fusion levels n=1,2,3,.... From the lattice, these theories are constructed by fusing together n x n elementary faces of the appropriate LM(p,p') models. It is further argued that all of these logarithmic theories are realized as diagonal cosets (A_1^{(1)})_k \\oplus (A_1^{(1)})_n / (A_1^{(1)})_{k+n} where n is the integer fusion level and k=np/(p'-p)-2 is a fractional level. These cosets mirror the cosets of the higher fusion level minimal models of the form M(m,m';n), but are associated with certain reducible representations. We present explicit branching rules for characters in the form of multiplication formulas arising in the logarithmic limit of the usual Goddard-Kent-Olive coset construction of the non-unitary minimal models M(m,m';n). The limiting branching functions play the role of Kac characters for...

  3. Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP

    Energy Technology Data Exchange (ETDEWEB)

    Ermolaev, B.I. [Ioffe Physico-Technical Institute, 194021 St. Petersburg (Russian Federation)]. E-mail: ermolaev@mail.cern.ch; Greco, M. [Department of Physics and INFN, University Rome III, Rome (Italy); Troyan, S.I. [St. Petersburg Institute of Nuclear Physics, 188300 Gatchina (Russian Federation)

    2005-08-25

    The explicit expressions for the non-singlet DIS structure functions F{sub 1} and g{sub 1}, obtained at small-x by resumming the leading logarithmic contributions to all orders, are discussed and compared in detail with the DGLAP evolution for different values of x and Q{sup 2}. The role played by the DGLAP inputs for the initial parton densities on the small-x behavior of the non-singlet structure functions is discussed. It is shown that the singular factors included into the fits ensure the Regge asymptotics of the non-singlet structure functions and mimic the impact of the total resummation of the leading logarithms found explicitly in our approach. Explicit expressions are presented which implement the NLO DGLAP contributions with our small-x results.

  4. Logarithmic two-point correlation functions from a z=2 Lifshitz model

    Energy Technology Data Exchange (ETDEWEB)

    Zingg, T. [Institute for Theoretical Physics and Spinoza Institute, Universiteit Utrecht,Leuvenlaan 4, 3584 CE Utrecht (Netherlands)

    2014-01-21

    The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It is found that the retarded correlators are stable in the sense that all quasinormal modes are situated in the lower half-plane of complex frequencies. Correlators in the longitudinal channel exhibit features that are reminiscent of a structure usually obtained in field theories that are logarithmic, i.e. contain an indecomposable but non-diagonalizable highest weight representation. This provides further evidence for conjecturing the model at hand as a candidate for a gravity dual of a logarithmic field theory with anisotropic scaling symmetry.

  5. Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP

    CERN Document Server

    Ermolaev, B I; Troyan, S I

    2005-01-01

    The explicit expressions for the non-singlet DIS structure functions obtained at small x by resumming the most singular logarithmic contributions are discussed and compared in detail with the DGLAP evolution for different values of x and Q^2. The role played by the initial conditions for the parton densities currently used in the DGLAP analysis, on the small-$x$ behavior of the non-singlet structure functions is discussed. Explicit expressions are presented which implement the NLO DGLAP contributions with our small-x results.

  6. DISTRIBUTION FREE LAWS OF THE ITERATED LOGARITHM FOR KERNEL ESTIMATOR OF REGRESSION FUNCTION BASED ON DIRECTIONAL DATA

    Institute of Scientific and Technical Information of China (English)

    2000-01-01

    The authors derive laws of the iterated logarithm for kernel estimator of regression function based on directional data. The results are distribution free in the sense that they are true for all distributions of design variable.

  7. An O(√nL) Iteration Large-Step Logarithmic Barrier Function Algorithm for Linear Programming

    OpenAIRE

    TONE, Kaoru

    1989-01-01

    As a natural extension of Roos and Vial's "Long steps with logarithmic penalty barrier function in llnear programming" (1989) and Ye's "An O(n³L) potential reduction algorithm for linear programming" (1989), it will be shown that the classical logarithmic barrier function method can be adjusted so that it generates the optimal solution in O(√nL) iterations, where n is the number of variables and L is the data length.

  8. THE STRUCTURAL DYNAMIC ECONOMIC MODEL SDEM-2: FROM SYSTEM DYNAMIC SOLUTIONS TO LINEAR AND LOGARITHMIC UTILITY MAXIMIZATION

    Directory of Open Access Journals (Sweden)

    Kovalevsky D. V.

    2014-12-01

    Full Text Available The Structural Dynamic Economic Model SDEM-2 is essentially a model of a closed economy growing under conditions of conflict of interests of two powerful aggregate actors: entrepreneurs and wage-earners. We study the economic growth within SDEM-2 both in system dynamic and optimization model setups. For the system dynamic model setup, four alternative control strategies of entrepreneurs are considered in detail: the “altruistic” control strategy, the “moderate output growth” control strategy, the “here and now” control strategy, and the “moderate dividend growth” control strategy. In the optimization setup the Pontryagin's maximum principle is applied to SDEM-2 to solve the linear and logarithmic utility maximization problems. The degree of sub-optimality of system dynamic solutions is evaluated

  9. Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic

    OpenAIRE

    Lv Yu-Pei; Sun Tian-Chuan; Chu Yu-Ming

    2011-01-01

    Abstract We prove that the function F α,β (x) = x α Γ β (x)/Γ(βx) is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β) : β > 0, β ≥ 2α + 1, β ≥ α + 1}{(α, β) : α = 0, β = 1} and that [F α,β (x)]-1 is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β ...

  10. Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic

    OpenAIRE

    Lv Yu-Pei; Sun Tian-Chuan; Chu Yu-Ming

    2011-01-01

    Abstract We prove that the function F α,β (x) = x α Γ β (x)/Γ(βx) is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β) : β > 0, β ≥ 2α + 1, β ≥ α + 1}{(α, β) : α = 0, β = 1} and that [F α,β (x)]-1 is strictly logarithmically completely monotonic on (0, ∞) if and only if (α, β) ∈ {(α, β ...

  11. Estimating Logarithms.

    Science.gov (United States)

    Gantner, Thomas E.

    1990-01-01

    Presents two methods for replacing a series by one converging more rapidly: regrouping the terms of a series and manipulations of power series. Describes a general algorithm for approximating the natural logarithm of any number. (YP)

  12. Can One Take the Logarithm or the Sine of a Dimensioned Quantity or a Unit? Dimensional Analysis Involving Transcendental Functions

    Science.gov (United States)

    Matta, Cherif F.; Massa, Lou; Gubskaya, Anna V.; Knoll, Eva

    2011-01-01

    The fate of dimensions of dimensioned quantities that are inserted into the argument of transcendental functions such as logarithms, exponentiation, trigonometric, and hyperbolic functions is discussed. Emphasis is placed on common misconceptions that are not often systematically examined in undergraduate courses of physical sciences. The argument…

  13. Time functions as utilities

    CERN Document Server

    Minguzzi, E

    2009-01-01

    Every time function on spacetime gives a (continuous) total preordering of the spacetime events which respects the notion of causal precedence. The problem of the existence of a (semi-)time function on spacetime and the problem of recovering the causal structure starting from the set of time functions are studied. It is pointed out that these problems have an analog in the field of microeconomics known as utility theory. In a chronological spacetime the semi-time functions correspond to the utilities for the chronological relation, while in a K-causal (stably causal) spacetime the time functions correspond to the utilities for the K^+ relation (Seifert's relation). By exploiting this analogy, we are able to import some mathematical results, most notably Peleg's and Levin's theorems, to the spacetime framework. As a consequence, we prove that a K-causal (i.e. stably causal) spacetime admits a time function and that the time or temporal functions can be used to recover the K^+ (or Seifert) relation which indeed...

  14. Time Functions as Utilities

    Science.gov (United States)

    Minguzzi, E.

    2010-09-01

    Every time function on spacetime gives a (continuous) total preordering of the spacetime events which respects the notion of causal precedence. The problem of the existence of a (semi-)time function on spacetime and the problem of recovering the causal structure starting from the set of time functions are studied. It is pointed out that these problems have an analog in the field of microeconomics known as utility theory. In a chronological spacetime the semi-time functions correspond to the utilities for the chronological relation, while in a K-causal (stably causal) spacetime the time functions correspond to the utilities for the K + relation (Seifert’s relation). By exploiting this analogy, we are able to import some mathematical results, most notably Peleg’s and Levin’s theorems, to the spacetime framework. As a consequence, we prove that a K-causal (i.e. stably causal) spacetime admits a time function and that the time or temporal functions can be used to recover the K + (or Seifert) relation which indeed turns out to be the intersection of the time or temporal orderings. This result tells us in which circumstances it is possible to recover the chronological or causal relation starting from the set of time or temporal functions allowed by the spacetime. Moreover, it is proved that a chronological spacetime in which the closure of the causal relation is transitive (for instance a reflective spacetime) admits a semi-time function. Along the way a new proof avoiding smoothing techniques is given that the existence of a time function implies stable causality, and a new short proof of the equivalence between K-causality and stable causality is given which takes advantage of Levin’s theorem and smoothing techniques.

  15. Synthesis of DGLAP and total resummation of leading logarithms for the non-singlet spin structure function $g_{1}$

    CERN Document Server

    Ermolaev, B I; Troyan, S I

    2005-01-01

    The explicit expressions for the non-singlet DIS structure function g_1 at small $x$ are obtained by resumming the leading logarithmic contributions. The role played by the fits for the initial parton densities currently used in the DGLAP on the small-x behavior of the non-singlet g_1 is discussed. Explicit expressions combining DGLAP with our results are presented.

  16. Impact of double-logarithmic electroweak radiative corrections on the non-singlet structure functions at small x

    CERN Document Server

    Ermolaev, B I

    2008-01-01

    In the QCD context, the non-singlet structure functions of u and d -quarks are identical, save the initial quark densities. Electroweak radiative corrections, being flavor-dependent, bring further difference between the non-singlets. This difference is calculated in the double-logarithmic approximation and the impact of the electroweak corrections on the non-singlet intercepts is estimated numerically.

  17. On the method of logarithmic cumulants for parametric probability density function estimation.

    Science.gov (United States)

    Krylov, Vladimir A; Moser, Gabriele; Serpico, Sebastiano B; Zerubia, Josiane

    2013-10-01

    Parameter estimation of probability density functions is one of the major steps in the area of statistical image and signal processing. In this paper we explore several properties and limitations of the recently proposed method of logarithmic cumulants (MoLC) parameter estimation approach which is an alternative to the classical maximum likelihood (ML) and method of moments (MoM) approaches. We derive the general sufficient condition for a strong consistency of the MoLC estimates which represents an important asymptotic property of any statistical estimator. This result enables the demonstration of the strong consistency of MoLC estimates for a selection of widely used distribution families originating from (but not restricted to) synthetic aperture radar image processing. We then derive the analytical conditions of applicability of MoLC to samples for the distribution families in our selection. Finally, we conduct various synthetic and real data experiments to assess the comparative properties, applicability and small sample performance of MoLC notably for the generalized gamma and K families of distributions. Supervised image classification experiments are considered for medical ultrasound and remote-sensing SAR imagery. The obtained results suggest that MoLC is a feasible and computationally fast yet not universally applicable alternative to MoM. MoLC becomes especially useful when the direct ML approach turns out to be unfeasible.

  18. Understanding Logarithms

    Science.gov (United States)

    Wood, Eric

    2005-01-01

    A variety of applications of logarithms are presented along with suggestions about how this topic might be made more interesting and relevant in a secondary classroom. In most cases, the treatment is multi-modal using numerical, graphical and algebraic approaches.

  19. 对数三角函数的定积分%Definite Integral of Logarithm Trigonometric Function

    Institute of Scientific and Technical Information of China (English)

    邱为钢; 唐荣荣

    2011-01-01

    定义了三种积分表示的两元函数.这些两元函数有伽马函数表示,可以展开为幂级数.在积分符号内展开被积函数,先积分,再求和,也得到级数展开.对比展开系数,就得到一些对数三角函数定积分的值.选取合适的围道,得到其他两类对数三角函数定积分的值.%The integral definition of three kind of two vatibles functions are given. These functions, in term of Gamma function. , can be expanded into power series. The integrand can also be expanded into powers series and integrated term by term. Comparing the power series coefficients, some definite integrals of logarithm trigonometric function is obtained. Other kind of logarithm trigonometric function integration are also evaluated by contour integral methods.

  20. An efficient method for minimizing a convex separable logarithmic function subject to a convex inequality constraint or linear equality constraint

    Directory of Open Access Journals (Sweden)

    2006-01-01

    Full Text Available We consider the problem of minimizing a convex separable logarithmic function over a region defined by a convex inequality constraint or linear equality constraint, and two-sided bounds on the variables (box constraints. Such problems are interesting from both theoretical and practical point of view because they arise in some mathematical programming problems as well as in various practical problems such as problems of production planning and scheduling, allocation of resources, decision making, facility location problems, and so forth. Polynomial algorithms are proposed for solving problems of this form and their convergence is proved. Some examples and results of numerical experiments are also presented.

  1. Structure function tensor scaling in the logarithmic region derived from the attached eddy model of wall-bounded turbulent flows

    Science.gov (United States)

    Yang, X. I. A.; Baidya, R.; Johnson, P.; Marusic, I.; Meneveau, C.

    2017-06-01

    We investigate the scaling of the velocity structure function tensor Di j(r ,z ) in high Reynolds number wall-bounded turbulent flows, within the framework provided by the Townsend attached eddy hypothesis. Here i ,j =1 ,2 ,3 denote velocity components in the three Cartesian directions, and r is a general spatial displacement vector. We consider spatial homogeneous conditions in wall-parallel planes and dependence on wall-normal distance is denoted by z . At small scales (r =|r |≪z ) where turbulence approaches local isotropy, Di j(r ,z ) can be fully characterized as a function of r and the height-dependent dissipation rate ɛ (z ) , using the classical Kolmogorov scalings. At larger distances in the logarithmic range, existing previous studies have focused mostly on the scaling of Di j for r in the streamwise direction and for the streamwise velocity component (i =j =1 ) only. No complete description is available for Di j(r ,z ) for all i ,j , and r directions. In this paper we show that the hierarchical random additive process model for turbulent fluctuations in the logarithmic range (a model based on the Townsend's attached eddy hypothesis) may be used to make new predictions on the scaling of Di j(r ,z ) for all velocity components and in all two-point displacement directions. Some of the generalized scaling relations of Di j(r ,z ) in the logarithmic region are then compared to available data. Nevertheless, a number of predictions cannot yet be tested in detail, due to a lack of simultaneous two-point measurements with arbitrary cross-plane displacements, calling for further experiments to be conducted at high Reynolds numbers.

  2. Improvement of two-dimensional gravity analysis by using logarithmic functions; Taisu kansu wo mochiita nijigen juryoku kaiseki no kairyo

    Energy Technology Data Exchange (ETDEWEB)

    Makino, M.; Murata, Y. [Geological Survey of Japan, Tsukuba (Japan)

    1996-05-01

    An examination was made, in the two dimensional tectonic analysis by gravity exploration, on a method that was applicable from a deep underground part to a shallow geological structure by using logarithmic functions. In the examination, a case was considered in which an underground structure was divided into a basement and a covering formation and in which the boundary part had undulations. An equation to calculate a basement structure from a gravity anomaly was derived so that, taking into consideration the effect from the height of an observation point, it might be applicable to the shallow distribution of the basement depth. In the test calculation, a model was assumed reaching the depth near the surface with the basement being a step structure. Density difference was set as 0.4g/cm{sup 3}. An analysis using an equation two-dimensionally modified from Ogihara`s (1987) method produced a fairly reasonable result, showing, however, a deformed basement around the boundary of the step structure, with the appearance of a small pulse-shaped structure. The analysis using logarithmic functions revealed that the original basement structure was faithfully restored. 3 refs., 5 figs.

  3. On Equalities Involving Integrals of the Logarithm of the Riemann ς-Function with Exponential Weight Which Are Equivalent to the Riemann Hypothesis

    Directory of Open Access Journals (Sweden)

    Sergey K. Sekatskii

    2015-01-01

    Full Text Available Integral equalities involving integrals of the logarithm of the Riemann ς-function with exponential weight functions are introduced, and it is shown that an infinite number of them are equivalent to the Riemann hypothesis. Some of these equalities are tested numerically. The possible contribution of the Riemann function zeroes nonlying on the critical line is rigorously estimated and shown to be extremely small, in particular, smaller than nine milliards of decimals for the maximal possible weight function exp(−2πt. We also show how certain Fourier transforms of the logarithm of the Riemann zeta-function taken along the real (demiaxis are expressible via elementary functions plus logarithm of the gamma-function and definite integrals thereof, as well as certain sums over trivial and nontrivial Riemann function zeroes.

  4. Logarithmic conformal field theory

    Science.gov (United States)

    Gainutdinov, Azat; Ridout, David; Runkel, Ingo

    2013-12-01

    Conformal field theory (CFT) has proven to be one of the richest and deepest subjects of modern theoretical and mathematical physics research, especially as regards statistical mechanics and string theory. It has also stimulated an enormous amount of activity in mathematics, shaping and building bridges between seemingly disparate fields through the study of vertex operator algebras, a (partial) axiomatisation of a chiral CFT. One can add to this that the successes of CFT, particularly when applied to statistical lattice models, have also served as an inspiration for mathematicians to develop entirely new fields: the Schramm-Loewner evolution and Smirnov's discrete complex analysis being notable examples. When the energy operator fails to be diagonalisable on the quantum state space, the CFT is said to be logarithmic. Consequently, a logarithmic CFT is one whose quantum space of states is constructed from a collection of representations which includes reducible but indecomposable ones. This qualifier arises because of the consequence that certain correlation functions will possess logarithmic singularities, something that contrasts with the familiar case of power law singularities. While such logarithmic singularities and reducible representations were noted by Rozansky and Saleur in their study of the U (1|1) Wess-Zumino-Witten model in 1992, the link between the non-diagonalisability of the energy operator and logarithmic singularities in correlators is usually ascribed to Gurarie's 1993 article (his paper also contains the first usage of the term 'logarithmic conformal field theory'). The class of CFTs that were under control at this time was quite small. In particular, an enormous amount of work from the statistical mechanics and string theory communities had produced a fairly detailed understanding of the (so-called) rational CFTs. However, physicists from both camps were well aware that applications from many diverse fields required significantly more

  5. Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model

    NARCIS (Netherlands)

    Zingg, T.

    2013-01-01

    The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It is found that the retarded correlators are stable in the sens

  6. Logarithmic exotic conformal Galilean algebras

    Energy Technology Data Exchange (ETDEWEB)

    Henkel, Malte, E-mail: Malte.henkel@univ-lorraine.fr [Groupe de Physique Statistique, Institut Jean Lamour (CNRS UMR 7198), Université de Lorraine Nancy, B.P. 70239, F-54506 Vandoeuvre-lès-Nancy Cedex (France); Hosseiny, Ali, E-mail: al_hosseiny@sbu.ac.ir [Department of Physics, Shahid Beheshti University, G.C. Evin, Tehran 19839 (Iran, Islamic Republic of); School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran (Iran, Islamic Republic of); Rouhani, Shahin, E-mail: rouhani@ipm.ir [Department of Physics, Sharif University of Technology, P.O. Box 11165-9161, Tehran (Iran, Islamic Republic of); School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran (Iran, Islamic Republic of)

    2014-02-15

    Logarithmic representations of the conformal Galilean algebra (CGA) and the Exotic Conformal Galilean algebra (ECGA) are constructed. This can be achieved by non-decomposable representations of the scaling dimensions or the rapidity indices, specific to conformal Galilean algebras. Logarithmic representations of the non-exotic CGA lead to the expected constraints on scaling dimensions and rapidities and also on the logarithmic contributions in the co-variant two-point functions. On the other hand, the ECGA admits several distinct situations which are distinguished by different sets of constraints and distinct scaling forms of the two-point functions. Two distinct realisations for the spatial rotations are identified as well. This is the first concrete example of a reducible, but non-decomposable representation, without logarithmic terms. Such cases had been anticipated before.

  7. Static versus Dynamic Disposition: The Role of GeoGebra in Representing Polynomial-Rational Inequalities and Exponential-Logarithmic Functions

    Science.gov (United States)

    Caglayan, Günhan

    2014-01-01

    This study investigates prospective secondary mathematics teachers' visual representations of polynomial and rational inequalities, and graphs of exponential and logarithmic functions with GeoGebra Dynamic Software. Five prospective teachers in a university in the United States participated in this research study, which was situated within a…

  8. Spin structure function g_1 at small x and arbitrary $Q^2: Total resummaion of leading logarithms vs Standard Approach

    CERN Document Server

    Ermolaev, B I; Troyan, S I

    2007-01-01

    The Standard Approach (SA) for description of the structure function g_1 combines the DGLAP evolution equations and Standard Fits for the initial parton densities. The DGLAP equations describe the region of large Q^2 and large x, so there are not theoretical grounds to exploit them at small x. In practice, extrapolation of DGLAP into the region of large Q^2 and small x is done with complementing DGLAP with special, singular (~x^{-a}) phenomenological fits for the initial parton densities. The factors x^{-a} are wrongly believed to be of the non-perturbative origin. Actually, they mimic the resummation of logs of x and should be expelled from the fits when the resummation is accounted for. Contrary to SA, the resummaton of logarithms of x is a straightforward and natural way to describe g_1 in the small-x region. This approach can be used at both large and small Q^2 where DGLAP cannot be used by definition. Confronting this approach and SA demonstrates that the singular initial parton densities and the power Q...

  9. Derived logarithmic geometry I

    OpenAIRE

    Steffen, Sagave; Timo, Schurg; Gabriele, Vezzosi

    2016-01-01

    In order to develop the foundations of logarithmic derived geometry, we introduce a model category of logarithmic simplicial rings and a notion of derived log \\'etale maps and use this to define derived log stacks.

  10. Simple utility functions with Giffen demand

    DEFF Research Database (Denmark)

    Sørensen, Peter Norman

    2007-01-01

    Simple utility functions with the Giffen property are presented: locally, the demand curve for a good is upward sloping. The utility functions represent continuous, monotone, convex preferences......Simple utility functions with the Giffen property are presented: locally, the demand curve for a good is upward sloping. The utility functions represent continuous, monotone, convex preferences...

  11. The logarithmic beam position monitor

    Science.gov (United States)

    Medvedko, Evgeny A.; Smith, Stephen R.

    2000-11-01

    Modern logarithmic amplifiers offer wide dynamic range, high bandwidth, good logarithmic conformance, and low cost making them attractive for beam position measurements. A log-ratio beam position monitor has been designed and built at SLAC for use at the PEP-II B-Factory. An integrated circuit logarithmic amplifier from Analog Devices, the AD8307, recovers the envelope of the 476 MHz harmonic of the beam signal. A log BPM board with two logarithmic and one differential amplifier performs the basic function of forming an output voltage proportional to the difference of the logarithms of the signal amplitudes on opposite electrodes. This voltage is approximately linear with beam position. For this application, we have limited the video bandwidth of the log amps to 50 kHz in order to remove fill pattern dependence. The log BPM board has an interface for testing and simulating beam offsets. The log BPMs were developed for a PEP-II ring protection chassis. Here the log BPMs function to identify dangerous orbit excursions. These excursions are signaled to a system, which can dump the beam. Two such chassis serve to protect the PEP-II rings.

  12. Fully double-logarithm-resummed cross sections

    Energy Technology Data Exchange (ETDEWEB)

    Albino, S.; Bolzoni, P.; Kniehl, B.A. [Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik; Kotikov, A. [Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik; Joint Inst. of Nuclear Research, Moscow (Russian Federation). Bogoliubov Lab. of Theoretical Physics

    2011-04-15

    We calculate the complete double logarithmic contribution to cross sections for semi-inclusive hadron production in the modified minimal-subtraction (MS) scheme by applying dimensional regularization to the double logarithm approximation. The full double logarithmic contribution to the coefficient functions for inclusive hadron production in electron-positron annihilation is obtained in this scheme for the first time. Our result agrees with all fixed order results in the literature, which extend to next-next-to-leading order. (orig.)

  13. Computing Logarithms by Hand

    Science.gov (United States)

    Reed, Cameron

    2016-01-01

    How can old-fashioned tables of logarithms be computed without technology? Today, of course, no practicing mathematician, scientist, or engineer would actually use logarithms to carry out a calculation, let alone worry about deriving them from scratch. But high school students may be curious about the process. This article develops a…

  14. The next-to-leading order (NLO) gluon distribution from DGLAP equation and the logarithmic derivatives of the proton structure function 2 (, 2) at low

    Indian Academy of Sciences (India)

    D K Choudhury; P K Sahariah

    2005-08-01

    At low , an analytic solution of the DGLAP equation for gluon in the next-to-leading order (NLO) is obtained by applying the method of characteristics. Its compatibility with double leading logarithmic approximation (DLLA) asymptotics is discussed and comparison with the exact ones like GRV98NLO is made. The solution is then utilized to calculate the derivatives $\\dfrac{ 2 (x, 2)}{ {\\text{ln}} 2}$ and $\\dfrac{ {\\text{ln}} 2 (x, 2)}{ {\\text{ln}} (1/x)}$ and compared with the recent HERA data. Our solution is found to reproduce most of the essential features of the data on the derivatives.

  15. On the structure of nonleading logarithms

    NARCIS (Netherlands)

    Jurkiewicz, J.; Wosiek, J.

    1980-01-01

    A recursive procedure for expressing all nonleading logarithms in terms of the coefficients of the β-function and the anomalous dimensions is derived. A part of the nonleading logarithms, which dominates not far from the Landau singularity, is summed to all orders. The behaviour of the running coupl

  16. Teaching Logarithms Day One

    Science.gov (United States)

    Gamble, Marvin

    2005-01-01

    A teacher shares his successful experience in helping students understand the relationship between exponents and logarithms in high school and college courses. He presents the procedure that he used for teaching using a graphing calculator that shows previous calculations made.

  17. Two Classes of Generalized Logarithmic Functional Equations and Pexider Generalizations%两类广义对数函数方程和Pexider推广

    Institute of Scientific and Technical Information of China (English)

    刘晓华

    2012-01-01

    Functional equations are involved in the fields of mathematics,aerodynamics,economic dynamics,etc,so,the study of functional equations is very important for the development of sciences,technologies and rational economic construction.The logarithmic functional equations are widely used in practice,and attract the attention of researchers in recent years.In this paper we prove that two classes of generalized logarithmic functional equations are equivalent to the classical logarithmic functional equations.For one class of generalized logarithmic functional equations,we discuss their Pexider equations and get their general solutions.For the other one,we consider the second order differentiable solutions of their Pexider equations.The related results in the papers ( K.J.Heuvers,P.Kannappan.Aequationes Math,2005,70:117 - 121.) and ( K.J.Heuvers.Aequationes Math,1999,58:260 -264.) are generalized.%函数方程在数学、空气动力学和动态经济学等领域都被涉及,因此函数方程的研究对科学技术的发展和国民经济建设都有重要的作用.众所周知的对数函数方程在实践中具有广泛的应用,近年来,它引起了研究者的关注.在这篇文章中,我们证明了两类广义对数函数方程与古典对数函数方程等效.对其中一类广义对数函数方程,我们讨论了它的Pexider方程,并给出了它的通解.对另一类广义对数函数方程,我们也讨论了它的Pexider方程,并给出了它的二次可微解,从而推广了文献(K.J.Heuvers.P.Kannappan.Aequationes Math,2005,70:117 -121.)和(K.J.Heuvers.Aequationes Math,1999,58:260-264.)的相关结果.

  18. Digital Logarithmic Airborne Gamma Ray Spectrometer

    OpenAIRE

    2014-01-01

    A new digital logarithmic airborne gamma ray spectrometer is designed in this study. The spectrometer adopts a high-speed and high-accuracy logarithmic amplifier (LOG114) to amplify the pulse signal logarithmically and to improve the utilization of the ADC dynamic range, because the low-energy pulse signal has a larger gain than the high-energy pulse signal. The spectrometer can clearly distinguish the photopeaks at 239, 352, 583, and 609keV in the low-energy spectral sections after the energ...

  19. Benchmark Two-Good Utility Functions

    NARCIS (Netherlands)

    de Jaegher, K.

    Benchmark two-good utility functions involving a good with zero income elasticity and unit income elasticity are well known. This paper derives utility functions for the additional benchmark cases where one good has zero cross-price elasticity, unit own-price elasticity, and zero own price

  20. Benchmark Two-Good Utility Functions

    NARCIS (Netherlands)

    de Jaegher, K.

    2007-01-01

    Benchmark two-good utility functions involving a good with zero income elasticity and unit income elasticity are well known. This paper derives utility functions for the additional benchmark cases where one good has zero cross-price elasticity, unit own-price elasticity, and zero own price elasticit

  1. The logarithmic hypervolume indicator

    DEFF Research Database (Denmark)

    Friedrich, Tobias; Bringmann, Karl; Voß, Thomas;

    2011-01-01

    It was recently proven that sets of points maximizing the hypervolume indicator do not give a good multiplicative approximation of the Pareto front. We introduce a new “logarithmic hypervolume indicator” and prove that it achieves a close-to-optimal multiplicative approximation ratio. This is exp...

  2. Logarithmic learning for generalized classifier neural network.

    Science.gov (United States)

    Ozyildirim, Buse Melis; Avci, Mutlu

    2014-12-01

    Generalized classifier neural network is introduced as an efficient classifier among the others. Unless the initial smoothing parameter value is close to the optimal one, generalized classifier neural network suffers from convergence problem and requires quite a long time to converge. In this work, to overcome this problem, a logarithmic learning approach is proposed. The proposed method uses logarithmic cost function instead of squared error. Minimization of this cost function reduces the number of iterations used for reaching the minima. The proposed method is tested on 15 different data sets and performance of logarithmic learning generalized classifier neural network is compared with that of standard one. Thanks to operation range of radial basis function included by generalized classifier neural network, proposed logarithmic approach and its derivative has continuous values. This makes it possible to adopt the advantage of logarithmic fast convergence by the proposed learning method. Due to fast convergence ability of logarithmic cost function, training time is maximally decreased to 99.2%. In addition to decrease in training time, classification performance may also be improved till 60%. According to the test results, while the proposed method provides a solution for time requirement problem of generalized classifier neural network, it may also improve the classification accuracy. The proposed method can be considered as an efficient way for reducing the time requirement problem of generalized classifier neural network. Copyright © 2014 Elsevier Ltd. All rights reserved.

  3. Logarithmic space and permutations

    DEFF Research Database (Denmark)

    Aubert, Clément; Seiller, Thomas

    2013-01-01

    In a recent work, Girard proposed a new and innovative approach to computational complexity based on the proofs-as-programs correspondence. In a previous paper, the authors showed how Girard's proposal succeeds in obtaining a new characterization of co-NL languages as a set of operators acting on...... on a Hilbert Space. In this paper, we extend this work by showing that it is also possible to define a set of operators characterizing the class L of logarithmic space languages....

  4. On generalized logarithmic electrodynamics

    Energy Technology Data Exchange (ETDEWEB)

    Kruglov, S.I. [University of Toronto, Department of Chemical and Physical Sciences, Mississauga, ON (Canada)

    2015-02-01

    The generalized logarithmic electrodynamics with two parameters β and γ is considered. The indexes of refraction of light in the external magnetic field are calculated. In the case β = γ we come to results obtained by Gaete and Helayel-Neto (Eur Phys J C 74:2816, 2014). The bound on the values of β, γ was obtained from the Birefringence Magnetique du Vide (BMV) experiment. The symmetrical Belinfante energy-momentum tensor and dilatation current are found. (orig.)

  5. Logarithmic Superconformal Minimal Models

    CERN Document Server

    Pearce, Paul A; Tartaglia, Elena

    2013-01-01

    The higher fusion level logarithmic minimal models LM(P,P';n) have recently been constructed as the diagonal GKO cosets (A_1^{(1)})_k oplus (A_1^{(1)})_n / (A_1^{(1)})_{k+n} where n>0 is an integer fusion level and k=nP/(P'-P)-2 is a fractional level. For n=1, these are the logarithmic minimal models LM(P,P'). For n>1, we argue that these critical theories are realized on the lattice by n x n fusion of the n=1 models. For n=2, we call them logarithmic superconformal minimal models LSM(p,p') where P=|2p-p'|, P'=p' and p,p' are coprime, and they share the central charges of the rational superconformal minimal models SM(P,P'). Their mathematical description entails the fused planar Temperley-Lieb algebra which is a spin-1 BMW tangle algebra with loop fugacity beta_2=x^2+1+x^{-2} and twist omega=x^4 where x=e^{i(p'-p)pi/p'}. Examples are superconformal dense polymers LSM(2,3) with c=-5/2, beta_2=0 and superconformal percolation LSM(3,4) with c=0, beta_2=1. We calculate the free energies analytically. By numerical...

  6. The Changing Role of Logarithms

    Science.gov (United States)

    Thomas, F. H.

    1974-01-01

    With the advent of computers and electronic calculators, the role of logarithms in the curriculum is changing. An intuitive approach to logarithms, stressing the notion of isomorphism, is discussed. (SD)

  7. Prediction of Single-Peak Flow Stress Curves at High Temperatures Using a New Logarithmic-Power Function

    Science.gov (United States)

    Shafiei, Ehsan; Dehghani, Kamran

    2016-09-01

    In this study, using a nonlinear estimation of strain hardening rate versus strain, a new phenomenological constitutive equation is developed. Utilizing the presented model, three new equations were presented to determine the peak strain, critical strain for initiation of dynamic recrystallization (DRX), and transition strain associated with the maximum softening rate of DRX. Also, two temperature and strain rate-sensitive parameters were introduced to generate flow stress curve at any desired deformation conditions. The predicted results were found to be in a good agreement with the ones measured experimentally. Maximum errors in prediction of peak strain, critical strain, and transition strain were about 8, 11, and 4%, respectively. In addition, evaluation of maximum errors in prediction of flow stress indicates that the presented constitutive equation gives a more precise estimation of flow stress curves in comparison with the previous models pertaining modeling of single-peak flow stress curves.

  8. Teaching Logarithms via Their History.

    Science.gov (United States)

    Toumasis, Charalampos

    1993-01-01

    Presents an example of the use of historical materials in developing the concept of logarithm. A description of the unit includes the origins of the word logarithm and the objectives, organization, and implementation of the unit. The historical development establishes the connection between arithmetic and geometric progressions and logarithms.…

  9. Logarithmic superconformal minimal models

    Science.gov (United States)

    Pearce, Paul A.; Rasmussen, Jørgen; Tartaglia, Elena

    2014-05-01

    The higher fusion level logarithmic minimal models {\\cal LM}(P,P';n) have recently been constructed as the diagonal GKO cosets {(A_1^{(1)})_k\\oplus (A_1^ {(1)})_n}/ {(A_1^{(1)})_{k+n}} where n ≥ 1 is an integer fusion level and k = nP/(P‧- P) - 2 is a fractional level. For n = 1, these are the well-studied logarithmic minimal models {\\cal LM}(P,P')\\equiv {\\cal LM}(P,P';1). For n ≥ 2, we argue that these critical theories are realized on the lattice by n × n fusion of the n = 1 models. We study the critical fused lattice models {\\cal LM}(p,p')_{n\\times n} within a lattice approach and focus our study on the n = 2 models. We call these logarithmic superconformal minimal models {\\cal LSM}(p,p')\\equiv {\\cal LM}(P,P';2) where P = |2p - p‧|, P‧ = p‧ and p, p‧ are coprime. These models share the central charges c=c^{P,P';2}=\\frac {3}{2}\\big (1-{2(P'-P)^2}/{P P'}\\big ) of the rational superconformal minimal models {\\cal SM}(P,P'). Lattice realizations of these theories are constructed by fusing 2 × 2 blocks of the elementary face operators of the n = 1 logarithmic minimal models {\\cal LM}(p,p'). Algebraically, this entails the fused planar Temperley-Lieb algebra which is a spin-1 Birman-Murakami-Wenzl tangle algebra with loop fugacity β2 = [x]3 = x2 + 1 + x-2 and twist ω = x4 where x = eiλ and λ = (p‧- p)π/p‧. The first two members of this n = 2 series are superconformal dense polymers {\\cal LSM}(2,3) with c=-\\frac {5}{2}, β2 = 0 and superconformal percolation {\\cal LSM}(3,4) with c = 0, β2 = 1. We calculate the bulk and boundary free energies analytically. By numerically studying finite-size conformal spectra on the strip with appropriate boundary conditions, we argue that, in the continuum scaling limit, these lattice models are associated with the logarithmic superconformal models {\\cal LM}(P,P';2). For system size N, we propose finitized Kac character formulae of the form q^{-{c^{P,P';2}}/{24}+\\Delta ^{P,P';2} _{r

  10. Digital Logarithmic Airborne Gamma Ray Spectrometer

    CERN Document Server

    Zeng, GuoQiang; Li, Chen; Tan, ChengJun; Ge, LiangQuan; Gu, Yi; Cheng, Feng

    2014-01-01

    A new digital logarithmic airborne gamma ray spectrometer is designed in this study. The spectrometer adopts a high-speed and high-accuracy logarithmic amplifier (LOG114) to amplify the pulse signal logarithmically and to improve the utilization of the ADC dynamic range, because the low-energy pulse signal has a larger gain than the high-energy pulse signal. The spectrometer can clearly distinguish the photopeaks at 239, 352, 583, and 609keV in the low-energy spectral sections after the energy calibration. The photopeak energy resolution of 137Cs improves to 6.75% from the original 7.8%. Furthermore, the energy resolution of three photopeaks, namely, K, U, and Th, is maintained, and the overall stability of the energy spectrum is increased through potassium peak spectrum stabilization. Thus, effectively measuring energy from 20keV to 10MeV is possible.

  11. Digital logarithmic airborne gamma ray spectrometer

    Science.gov (United States)

    Zeng, Guo-Qiang; Zhang, Qing-Xian; Li, Chen; Tan, Cheng-Jun; Ge, Liang-Quan; Gu, Yi; Cheng, Feng

    2014-07-01

    A new digital logarithmic airborne gamma ray spectrometer is designed in this study. The spectrometer adopts a high-speed and high-accuracy logarithmic amplifier (LOG114) to amplify the pulse signal logarithmically and to improve the utilization of the ADC dynamic range because the low-energy pulse signal has a larger gain than the high-energy pulse signal. After energy calibration, the spectrometer can clearly distinguish photopeaks at 239, 352, 583 and 609 keV in the low-energy spectral sections. The photopeak energy resolution of 137Cs improves to 6.75% from the original 7.8%. Furthermore, the energy resolution of three photopeaks, namely, K, U, and Th, is maintained, and the overall stability of the energy spectrum is increased through potassium peak spectrum stabilization. Thus, it is possible to effectively measure energy from 20 keV to 10 MeV.

  12. Dynamic Portfolio Selection for Logarithm Utility Maximization in an Incomplete Market%不完全市场下基于对数效用的动态投资组合

    Institute of Scientific and Technical Information of China (English)

    常浩

    2013-01-01

    This paper applies martingale approach to study a dynamic portfolio selection problem in an incomplete market. By reducing the dimension of Brownian motion, we transform an incomplete market into a complete one and use martingale approach to investigate the optimal investment strategy for logarithm utility maximization in the completed market, In addition, we obtain the explicit expression of the optimal investment strategy. We derive the optimal investment strategy in the original incomplete market by applying the parameters relationships between in the original incomplete market and in the completed one. Numerical examples are given to compare the optimal portfolios for logarithm utility with those for power utility and exponential utility both in a complete market and in an incomplete one.%应用鞅方法研究不完全市场下的动态投资组合优化问题.首先,通过降低布朗运动的维数将不完全金融市场转化为完全金融市场,并在转化后的完全金融市场里应用鞅方法研究对数效用函数下的动态投资组合问题,得到了最优投资策略的显示表达式.然后,根据转化后的完全金融市场与原不完全金融市场之间的参数关系,得到原不完全金融市场下的最优投资策略.算例分析比较了不完全金融市场与转化后的完全金融市场下最优投资策略的变化趋势,并与幂效用、指数效用下最优投资策略的变化趋势做了比较.

  13. Utilization of Natural Products as Functional Feed

    Directory of Open Access Journals (Sweden)

    Stella Magdalena

    2013-03-01

    Full Text Available The use of antibiotics as feed additive improves performance in livestock. However, scientific data related to the use of antibiotics in feed merge spreading of bacterial resistance in animal and human bodies, therefore the usage of antibiotics in animal production is restricted. This condition raise the utilization of natural antibiotic as functional feed such as phytogenics (essential oil, flavonoid, saponin, and tannin, enzyme, probiotic, and prebiotic to improve the livestock’s performance, quality, and health. Functional feeds increase profitability in animal husbandry production and its use is feeds are expected to be functional foods that may have positive effects in human nutrition.

  14. The logarithmic slope in diffractive DIS

    CERN Document Server

    Gay-Ducati, M B; Machado, M V T

    2002-01-01

    The logarithmic slope of diffractive structure function is a potential observable to separate the hard and soft contributions in diffraction, allowing to disentangle the QCD dynamics at small-x region. In this paper we extend our previous analyzes and calculate the diffractive logarithmic slope for three current approaches in the literature: (i) the Bartels-Wusthoff model, based on perturbative QCD, (ii) the CKMT model, based on Regge theory and (iii) the Golec-Biernat-Wusthoff model which assumes that the saturation phenomena is present in the HERA kinematic region. We analyze the transition region of small to large momentum transfer and verify that future experimental results on the diffractive logarithmic slope could discriminate between these approaches.

  15. Utility of functional MRI in pediatric neurology.

    Science.gov (United States)

    Freilich, Emily R; Gaillard, William D

    2010-01-01

    Functional MRI (fMRI), a tool increasingly used to study cognitive function, is also an important tool for understanding not only normal development in healthy children, but also abnormal development, as seen in children with epilepsy, attention-deficit/hyperactivity disorder, and autism. Since its inception almost 15 years ago, fMRI has seen an explosion in its use and applications in the adult literature. However, only recently has it found a home in pediatric neurology. New adaptations in study design and technologic advances, especially the study of resting state functional connectivity as well as the use of passive task design in sedated children, have increased the utility of functional imaging in pediatrics to help us gain understanding into the developing brain at work. This article reviews the background of fMRI in pediatrics and highlights the most recent literature and clinical applications.

  16. Intersection of the Exponential and Logarithmic Curves

    Science.gov (United States)

    Boukas, Andreas; Valahas, Theodoros

    2009-01-01

    The study of the number of intersection points of y = a[superscript x] and y = log[subscript a]x can be an interesting topic to present in a single-variable calculus class. In this article, the authors present a classroom presentation outline involving the basic algebra and the elementary calculus of the exponential and logarithmic functions. The…

  17. Aggregation Functions and Personal Utility Functions in General Insurance

    Directory of Open Access Journals (Sweden)

    Pavol Kráľ

    2010-11-01

    Full Text Available The modeling of a utility function’s forms is a very interesting part of moderndecision making theory. We apply a basic concept of the personal utility theory ondetermination of minimal net and maximal gross annual premium in general insurance. Weintroduce specific values of gross annual premium on the basis of a personal utilityfunction, which is determined empirically by a short personal interview. Moreover, weintroduce a new approach to the creation of a personal utility function by a fictive gameand an aggregation of specific values by mixture operators.

  18. Reconciling resource utilization and resource selection functions

    Science.gov (United States)

    Hooten, Mevin B.; Hanks, Ephraim M.; Johnson, Devin S.; Alldredge, Mat W.

    2013-01-01

    Summary: 1. Analyses based on utilization distributions (UDs) have been ubiquitous in animal space use studies, largely because they are computationally straightforward and relatively easy to employ. Conventional applications of resource utilization functions (RUFs) suggest that estimates of UDs can be used as response variables in a regression involving spatial covariates of interest. 2. It has been claimed that contemporary implementations of RUFs can yield inference about resource selection, although to our knowledge, an explicit connection has not been described. 3. We explore the relationships between RUFs and resource selection functions from a hueristic and simulation perspective. We investigate several sources of potential bias in the estimation of resource selection coefficients using RUFs (e.g. the spatial covariance modelling that is often used in RUF analyses). 4. Our findings illustrate that RUFs can, in fact, serve as approximations to RSFs and are capable of providing inference about resource selection, but only with some modification and under specific circumstances. 5. Using real telemetry data as an example, we provide guidance on which methods for estimating resource selection may be more appropriate and in which situations. In general, if telemetry data are assumed to arise as a point process, then RSF methods may be preferable to RUFs; however, modified RUFs may provide less biased parameter estimates when the data are subject to location error.

  19. Source-independent elastic waveform inversion using a logarithmic wavefield

    KAUST Repository

    Choi, Yun Seok

    2012-01-01

    The logarithmic waveform inversion has been widely developed and applied to some synthetic and real data. In most logarithmic waveform inversion algorithms, the subsurface velocities are updated along with the source estimation. To avoid estimating the source wavelet in the logarithmic waveform inversion, we developed a source-independent logarithmic waveform inversion algorithm. In this inversion algorithm, we first normalize the wavefields with the reference wavefield to remove the source wavelet, and then take the logarithm of the normalized wavefields. Based on the properties of the logarithm, we define three types of misfit functions using the following methods: combination of amplitude and phase, amplitude-only, and phase-only. In the inversion, the gradient is computed using the back-propagation formula without directly calculating the Jacobian matrix. We apply our algorithm to noise-free and noise-added synthetic data generated for the modified version of elastic Marmousi2 model, and compare the results with those of the source-estimation logarithmic waveform inversion. For the noise-free data, the source-independent algorithms yield velocity models close to true velocity models. For random-noise data, the source-estimation logarithmic waveform inversion yields better results than the source-independent method, whereas for coherent-noise data, the results are reversed. Numerical results show that the source-independent and source-estimation logarithmic waveform inversion methods have their own merits for random- and coherent-noise data. © 2011.

  20. Orbits in a logarithmic potential

    Energy Technology Data Exchange (ETDEWEB)

    Hooverman, R. H.

    2014-04-15

    The characteristics of charged particle orbits in the logarithmic electrostatic potential field surrounding a straight conducting wire at a fixed potential are investigated. The equations of motion of an electron in a logarithmic potential are derived, the limiting cases are considered, and the results of numerical integration of the equations of motion are presented along with sketches of a few representative orbits. (C.E.S.)

  1. Parabolic sheaves on logarithmic schemes

    OpenAIRE

    Borne, Niels; Vistoli, Angelo

    2010-01-01

    We show how the natural context for the definition of parabolic sheaves on a scheme is that of logarithmic geometry. The key point is a reformulation of the concept of logarithmic structure in the language of symmetric monoidal categories, which might be of independent interest. Our main result states that parabolic sheaves can be interpreted as quasi-coherent sheaves on certain stacks of roots.

  2. Functional Relationships Between Risky and Riskless Multiattribute Utility Functions.

    Science.gov (United States)

    1979-12-01

    Riskless Multiattribute Utility Functions 1ER/ ORIN 12 R/17NUMBER 79 - 3 7. AUTHORYS)& A. CONTRACT OR GRANT NUMBER(S)Det of von Winterfeldt N00014-79-C-0038...4C.-2 Attention: Dr. Edgar M. Jchnson Aashingtcn, DC 20330 5 0 02. E7 s e rn *c -w e z !v e n u e S c e - f R S a C. ex a n C:ri’a, VA 22333 kir

  3. Nonexistence in Reciprocal and Logarithmic Regression

    Institute of Scientific and Technical Information of China (English)

    Josef Bukac

    2003-01-01

    Fitting logarithmic b ln(clx), a+bln(c+x) or reciprocal b/(c+x), a+b/(c+x) regression models to data by the least squares method asks for the determination of the closure of the set of each type of these functions defined on a finite domain. It follows that a minimal solution may not exist. But it does exist when the closure is considered.

  4. Helping Students Make Sense of Logarithms and Logarithmic Relationships

    Science.gov (United States)

    DePierro, Ed; Garafalo, Fred; Toomey, Rick

    2008-01-01

    This paper summarizes difficulties that chemistry students at all levels commonly exhibit when translating, manipulating, and interpreting mathematical expressions that contain logarithms, and offers approaches that the authors have found useful to help students overcome such difficulties. The online supplement provides problem sets created by the…

  5. High Dynamic Range Imaging by Perceptual Logarithmic Exposure Merging

    Directory of Open Access Journals (Sweden)

    Florea Corneliu

    2015-12-01

    Full Text Available In this paper we emphasize a similarity between the logarithmic type image processing (LTIP model and the Naka–Rushton model of the human visual system (HVS. LTIP is a derivation of logarithmic image processing (LIP, which further replaces the logarithmic function with a ratio of polynomial functions. Based on this similarity, we show that it is possible to present a unifying framework for the high dynamic range (HDR imaging problem, namely, that performing exposure merging under the LTIP model is equivalent to standard irradiance map fusion. The resulting HDR algorithm is shown to provide high quality in both subjective and objective evaluations.

  6. Another Way to Introduce Natural Logarithms and e.

    Science.gov (United States)

    Christian, Robert R.

    1983-01-01

    A simple way to introduce natural logarithms and e is presented. The standard approach is outlined, followed by the approach via differentiating the exponential functions that the student knows about. (MNS)

  7. Logic programming and logarithmic space

    DEFF Research Database (Denmark)

    Aubert, CléMent; Bagnol, Marc; Pistone, Paolo;

    2014-01-01

    We show that the acceptance of a word by an observation (the counterpart of a program in the encoding) can be decided within logarithmic space, by reducing this problem to the acyclicity of a graph. We show moreover that observations are as expressive as two-ways multihead finite automata, a kind...

  8. On logarithmic extensions of local scale-invariance

    Energy Technology Data Exchange (ETDEWEB)

    Henkel, Malte, E-mail: malte.henkel@ijl.nancy-universite.fr [Groupe de Physique Statistique, Département de Physique de la Matière et des Matériaux, Institut Jean Lamour (CNRS UMR 7198), Université de Lorraine Nancy, B.P. 70239, F-54506 Vandoeuvre lès Nancy Cedex (France)

    2013-04-11

    Ageing phenomena far from equilibrium naturally present dynamical scaling and in many situations this may be generalised to local scale-invariance. Generically, the absence of time-translation-invariance implies that each scaling operator is characterised by two independent scaling dimensions. Building on analogies with logarithmic conformal invariance and logarithmic Schrödinger-invariance, this work proposes a logarithmic extension of local scale-invariance, without time-translation-invariance. Carrying this out requires in general to replace both scaling dimensions of each scaling operator by Jordan cells. Co-variant two-point functions are derived for the most simple case of a two-dimensional logarithmic extension. Their form is compared to simulational data for autoresponse functions in several universality classes of non-equilibrium ageing phenomena.

  9. CONVERGENCE OF LOGARITHMIC MEANS OF MULTIPLE WALSH-FOURIER SERIES

    Institute of Scientific and Technical Information of China (English)

    G. Gát; U. Goginava; G. Tkebuchava

    2005-01-01

    N(o)rlund logarithmic means of multiple Walsh-Fourier series acting from space L Ind -1 L ([0, 1) d ), d ≥1 into space weak - L1([0, 1)d) are studied. The maximal Orlicz space such that the N(o)rlund logarithmic means of multiple Walsh-Fourier series for the functions from this space converge in d-dimensional measure is found.

  10. General logarithmic image processing convolution.

    Science.gov (United States)

    Palomares, Jose M; González, Jesús; Ros, Eduardo; Prieto, Alberto

    2006-11-01

    The logarithmic image processing model (LIP) is a robust mathematical framework, which, among other benefits, behaves invariantly to illumination changes. This paper presents, for the first time, two general formulations of the 2-D convolution of separable kernels under the LIP paradigm. Although both formulations are mathematically equivalent, one of them has been designed avoiding the operations which are computationally expensive in current computers. Therefore, this fast LIP convolution method allows to obtain significant speedups and is more adequate for real-time processing. In order to support these statements, some experimental results are shown in Section V.

  11. Framing the Di-Logarithm (over Z)

    CERN Document Server

    Schwarz, Albert; Walcher, Johannes

    2013-01-01

    Motivated by their role for integrality and integrability in topological string theory, we introduce the general mathematical notion of "s-functions" as integral linear combinations of poly-logarithms. 2-functions arise as disk amplitudes in Calabi-Yau D-brane backgrounds and form the simplest and most important special class. We describe s-functions in terms of the action of the Frobenius endomorphism on formal power series and use this description to characterize 2-functions in terms of algebraic K-theory of the completed power series ring. This characterization leads to a general proof of integrality of the framing transformation, via a certain orthogonality relation in K-theory. We comment on a variety of possible applications. We here consider only power series with rational coefficients; the general situation when the coefficients belong to an arbitrary algebraic number field is treated in a companion paper.

  12. Dishonest Academic Conduct: From the Perspective of the Utility Function.

    Science.gov (United States)

    Sun, Ying; Tian, Rui

    Dishonest academic conduct has aroused extensive attention in academic circles. To explore how scholars make decisions according to the principle of maximal utility, the author has constructed the general utility function based on the expected utility theory. The concrete utility functions of different types of scholars were deduced. They are as follows: risk neutral, risk averse, and risk preference. Following this, the assignment method was adopted to analyze and compare the scholars' utilities of academic conduct. It was concluded that changing the values of risk costs, internal condemnation costs, academic benefits, and the subjective estimation of penalties following dishonest academic conduct can lead to changes in the utility of academic dishonesty. The results of the current study suggest that within scientific research, measures to prevent and govern dishonest academic conduct should be formulated according to the various effects of the above four variables.

  13. Logarithmic Laplacian Prior Based Bayesian Inverse Synthetic Aperture Radar Imaging.

    Science.gov (United States)

    Zhang, Shuanghui; Liu, Yongxiang; Li, Xiang; Bi, Guoan

    2016-04-28

    This paper presents a novel Inverse Synthetic Aperture Radar Imaging (ISAR) algorithm based on a new sparse prior, known as the logarithmic Laplacian prior. The newly proposed logarithmic Laplacian prior has a narrower main lobe with higher tail values than the Laplacian prior, which helps to achieve performance improvement on sparse representation. The logarithmic Laplacian prior is used for ISAR imaging within the Bayesian framework to achieve better focused radar image. In the proposed method of ISAR imaging, the phase errors are jointly estimated based on the minimum entropy criterion to accomplish autofocusing. The maximum a posterior (MAP) estimation and the maximum likelihood estimation (MLE) are utilized to estimate the model parameters to avoid manually tuning process. Additionally, the fast Fourier Transform (FFT) and Hadamard product are used to minimize the required computational efficiency. Experimental results based on both simulated and measured data validate that the proposed algorithm outperforms the traditional sparse ISAR imaging algorithms in terms of resolution improvement and noise suppression.

  14. Modeling non-monotone risk aversion using SAHARA utility functions

    NARCIS (Netherlands)

    A. Chen; A. Pelsser; M. Vellekoop

    2011-01-01

    We develop a new class of utility functions, SAHARA utility, with the distinguishing feature that it allows absolute risk aversion to be non-monotone and implements the assumption that agents may become less risk averse for very low values of wealth. The class contains the well-known exponential and

  15. The Shape of Utility Functions and Organizational Behavior

    NARCIS (Netherlands)

    J.M.E. Pennings; A. Smidts (Ale)

    2002-01-01

    textabstractBased on measurements with 332 owner-managers, the global shape of the utility function (i.e., S-shaped versus concave or convex over the total range of outcomes) appears to discriminate organizational behavior. Whereas the degree of risk aversion, based on the local shape of the utility

  16. Exploring utility function in utility management: an evaluating method of library preservation.

    Science.gov (United States)

    Yan, Bin; Shi, Feng; Yu, Rui-Qiang

    2013-12-01

    In order to seek a new method of book evaluation and realize book resources sharing among the regional university libraries, we think that library should collect books of the high utility value in the case of limited funds. We proposed a changing Bellman equation as a utility function and used the explicit functions of the book usage factor and the book usage half-life derived from the utility function as an evaluating method of the collecting books. The results from empirical data given some conclusions such as the varieties diversity, the collected risk, the tendencies of reading varieties, species continuity and so on and a librarian can use the utility management to supplement the collections management.

  17. Multiplicative by nature: Logarithmic transformation in allometry.

    Science.gov (United States)

    Packard, Gary C

    2014-06-01

    The traditional allometric method, which is at the heart of research paradigms used by comparative biologists around the world, entails fitting a straight line to logarithmic transformations of the original bivariate data and then back-transforming the resulting equation to form a two-parameter power function in the arithmetic scale. The method has the dual advantages of enabling investigators to fit statistical models that describe multiplicative growth while simultaneously addressing the multiplicative nature of residual variation in response variables (heteroscedasticity). However, important assumptions of the traditional method seldom are assessed in contemporary practice. When the assumptions are not met, mean functions may fail to capture the dominant pattern in the original data and incorrect form for error may be imposed upon the fitted model. A worked example from metabolic allometry in doves and pigeons illustrates both the power of newer statistical procedures and limitations of the traditional allometric method.

  18. Uniform and L-convergence of Logarithmic Means of Walsh-Fourier Series

    Institute of Scientific and Technical Information of China (English)

    G. GAT; U. GOGINAVA

    2006-01-01

    The (Norlund) logarithmic means of the Fourier series of the integrable function f is:1/ln n-1∑k=1 Sk(f)/n-k, where ln := n-1∑k=1 1/k.In this paper we discuss some convergence and divergence properties of this logarithmic means of the Walsh-Fourier series of functions in the uniform, and in the L1 Lebesgue norm. Among others, as an convergence of logarithmic means in norm.

  19. Optimal Wonderful Life Utility Functions in Multi-Agent Systems

    Science.gov (United States)

    Wolpert, David H.; Tumer, Kagan; Swanson, Keith (Technical Monitor)

    2000-01-01

    The mathematics of Collective Intelligence (COINs) is concerned with the design of multi-agent systems so as to optimize an overall global utility function when those systems lack centralized communication and control. Typically in COINs each agent runs a distinct Reinforcement Learning (RL) algorithm, so that much of the design problem reduces to how best to initialize/update each agent's private utility function, as far as the ensuing value of the global utility is concerned. Traditional team game solutions to this problem assign to each agent the global utility as its private utility function. In previous work we used the COIN framework to derive the alternative Wonderful Life Utility (WLU), and experimentally established that having the agents use it induces global utility performance up to orders of magnitude superior to that induced by use of the team game utility. The WLU has a free parameter (the clamping parameter) which we simply set to zero in that previous work. Here we derive the optimal value of the clamping parameter, and demonstrate experimentally that using that optimal value can result in significantly improved performance over that of clamping to zero, over and above the improvement beyond traditional approaches.

  20. Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces

    Directory of Open Access Journals (Sweden)

    Flavia Colonna

    2012-01-01

    Full Text Available The logarithmic Bloch space Blog⁡ is the Banach space of analytic functions on the open unit disk 𝔻 whose elements f satisfy the condition ∥f∥=sup⁡z∈𝔻(1-|z|2log⁡  (2/(1-|z|2|f'(z|<∞. In this work we characterize the bounded and the compact weighted composition operators from the Hardy space Hp (with 1≤p≤∞ into the logarithmic Bloch space. We also provide boundedness and compactness criteria for the weighted composition operator mapping Hp into the little logarithmic Bloch space defined as the subspace of Blog⁡ consisting of the functions f such that lim⁡|z|→1(1-|z|2log⁡  (2/(1-|z|2|f'(z|=0.

  1. Analysis on the Logarithmic Model of Relationships

    Institute of Scientific and Technical Information of China (English)

    2005-01-01

    The logarithmic model is often used to describe the relationships between factors.It often gives good statistical characteristics.Yet,in the process of modeling of soil and water conservation,we find out that this“good”model cannot guarantee good result.In this paper we make an inquiry into the intrinsic reasons.It is shown that the logarithmic model has the property of enlarging or reducing model errors,and the disadvantages of the logarithmic model are analyzed.

  2. Logarithmic current-measuring transistor circuits

    DEFF Research Database (Denmark)

    Højberg, Kristian Søe

    1967-01-01

    Describes two transistorized circuits for the logarithmic measurement of small currents suitable for nuclear reactor instrumentation. The logarithmic element is applied in the feedback path of an amplifier, and only one dual transistor is used as logarithmic diode and temperature compensating...... transistor. A simple one-amplifier circuit is compared with a two-amplifier system. The circuits presented have been developed in connexion with an amplifier using a dual m.o.s. transistor input stage with diode-protected gates....

  3. The evolution of utility functions and psychological altruism.

    Science.gov (United States)

    Clavien, Christine; Chapuisat, Michel

    2016-04-01

    Numerous studies show that humans tend to be more cooperative than expected given the assumption that they are rational maximizers of personal gain. As a result, theoreticians have proposed elaborated formal representations of human decision-making, in which utility functions including "altruistic" or "moral" preferences replace the purely self-oriented "Homo economicus" function. Here we review mathematical approaches that provide insights into the mathematical stability of alternative utility functions. Candidate utility functions may be evaluated with help of game theory, classical modeling of social evolution that focuses on behavioral strategies, and modeling of social evolution that focuses directly on utility functions. We present the advantages of the latter form of investigation and discuss one surprisingly precise result: "Homo economicus" as well as "altruistic" utility functions are less stable than a function containing a preference for the common welfare that is only expressed in social contexts composed of individuals with similar preferences. We discuss the contribution of mathematical models to our understanding of human other-oriented behavior, with a focus on the classical debate over psychological altruism. We conclude that human can be psychologically altruistic, but that psychological altruism evolved because it was generally expressed towards individuals that contributed to the actor's fitness, such as own children, romantic partners and long term reciprocators.

  4. Could time itself be logarithmic?

    Science.gov (United States)

    George, William

    2016-11-01

    This presentation hypothesizes that increments of time may be logarithmic and measured from an initial instant - the log of absolute time if you will. In this alternative view all equations involving time must be written with lnt /to where t is measured in linear increments from the beginning of the universe and to is the universal time scale. All equations involving time derivatives must be written not as d / dt but d / dlnt / to = td / dt . An immediate consequence, for example, is that our definition of mass in Newton's Law must change as well: from mdv / dt = F to m* dv / dlnt / to =m* tdv / dt = F where F is force applied and v is velocity (however defined). m* = m / t is the 'true' or absolute mass. Since we have been measuring for only about 500 years and the universe is estimated to be about 18 billion years (millions of billions of seconds) old, the differences are impossible to measure; i.e., ln (t + δt) - lnt δt / t . It is only when we look backwards towards the beginning of the universe that we notice the difference - mass, m =m* t , appears to be missing. So we need "dark matter" to make our equations balance - when in fact it might be our "linear-time" equations and definitions that are wrong.

  5. The ABC (in any D) of Logarithmic CFT

    CERN Document Server

    Hogervorst, Matthijs; Vichi, Alessandro

    2016-01-01

    Logarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structure of these theories based on their symmetry properties. Our analysis is model-independent and holds for any spacetime dimension. Our results include a determination of the general form of correlation functions and conformal block decompositions, clearing the path for future bootstrap applications. Several examples are discussed in detail, including logarithmic generalized free fields, holographic models, self-avoiding random walks and critical percolation.

  6. Utility functions predict variance and skewness risk preferences in monkeys.

    Science.gov (United States)

    Genest, Wilfried; Stauffer, William R; Schultz, Wolfram

    2016-07-26

    Utility is the fundamental variable thought to underlie economic choices. In particular, utility functions are believed to reflect preferences toward risk, a key decision variable in many real-life situations. To assess the validity of utility representations, it is therefore important to examine risk preferences. In turn, this approach requires formal definitions of risk. A standard approach is to focus on the variance of reward distributions (variance-risk). In this study, we also examined a form of risk related to the skewness of reward distributions (skewness-risk). Thus, we tested the extent to which empirically derived utility functions predicted preferences for variance-risk and skewness-risk in macaques. The expected utilities calculated for various symmetrical and skewed gambles served to define formally the direction of stochastic dominance between gambles. In direct choices, the animals' preferences followed both second-order (variance) and third-order (skewness) stochastic dominance. Specifically, for gambles with different variance but identical expected values (EVs), the monkeys preferred high-variance gambles at low EVs and low-variance gambles at high EVs; in gambles with different skewness but identical EVs and variances, the animals preferred positively over symmetrical and negatively skewed gambles in a strongly transitive fashion. Thus, the utility functions predicted the animals' preferences for variance-risk and skewness-risk. Using these well-defined forms of risk, this study shows that monkeys' choices conform to the internal reward valuations suggested by their utility functions. This result implies a representation of utility in monkeys that accounts for both variance-risk and skewness-risk preferences.

  7. Leading chiral logarithms for the nucleon mass

    Energy Technology Data Exchange (ETDEWEB)

    Vladimirov, Alexey A.; Bijnens, Johan [Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14A, SE 223 62 Lund (Sweden)

    2016-01-22

    We give a short introduction to the calculation of the leading chiral logarithms, and present the results of the recent evaluation of the LLog series for the nucleon mass within the heavy baryon theory. The presented results are the first example of LLog calculation in the nucleon ChPT. We also discuss some regularities observed in the leading logarithmical series for nucleon mass.

  8. Developing Students' Understanding of Exponents and Logarithms.

    Science.gov (United States)

    Weber, Keith

    In this paper, we describe instruction designed to teach students about exponents and logarithms and report a pilot study to test the effectiveness of this instruction. Based on the theoretical work of Dubinsky and Sfard, we postulate a set of mental constructions that a student could make to understand the concepts of exponents and logarithms. We…

  9. Computing Logarithms Digit-by-Digit

    Science.gov (United States)

    Goldberg, Mayer

    2005-01-01

    In this work, we present an algorithm for computing logarithms of positive real numbers, that bears structural resemblance to the elementary school algorithm of long division. Using this algorithm, we can compute successive digits of a logarithm using a 4-operation pocket calculator. The algorithm makes no use of Taylor series or calculus, but…

  10. Learning a decision maker's utility function from (possibly) inconsistent behavior

    DEFF Research Database (Denmark)

    Nielsen, Thomas Dyhre; Jensen, Finn Verner

    2004-01-01

    decision problem, there exists a utility function which canaccount for all the observed behavior. Unfortunately, this assumption israrely valid in real-world decision problems, and in these situationsexisting learning methods may only identify a trivial utilityfunction. In this paper we relax...... developed for learning the probabilities from a database.However, methods for learning the utilities have only received limitedattention in the computer science community. A promising approach for learning a decision maker's utility function is to takeoutset in the decision maker's observed behavioral...... patterns, and then find autility function which (together with a domain model) can explainthis behavior. That is, it is assumed that decision maker's preferences arereflected in the behavior. Standard learning algorithmsalso assume that the decision maker is behavioralconsistent, i.e., given a model ofthe...

  11. REGULARITY OF POISSON EQUATION IN SOME LOGARITHMIC SPACE

    Institute of Scientific and Technical Information of China (English)

    Jia Huilian; Li Dongsheng; Wang Lihe

    2007-01-01

    In this note, the regularity of Poisson equation -△u = f with f lying in logarithmic function space Lp(LogL)a(Ω)(1<p <∞, a ∈ R) is studied. The result of the note generalizes the W2,p estimate of Poisson equation in Lp(Ω).

  12. A Conjugate Class of Utility Functions for Sequential Decision Problems.

    Science.gov (United States)

    Houlding, Brett; Coolen, Frank P A; Bolger, Donnacha

    2015-09-01

    The use of the conjugacy property for members of the exponential family of distributions is commonplace within Bayesian statistical analysis, allowing for tractable and simple solutions to problems of inference. However, despite a shared motivation, there has been little previous development of a similar property for using utility functions within a Bayesian decision analysis. As such, this article explores a class of utility functions that appear to be reasonable for modeling the preferences of a decisionmaker in many real-life situations, but that also permit a tractable and simple analysis within sequential decision problems. © 2015 Society for Risk Analysis.

  13. The functional properties, modification and utilization of whey proteins

    Directory of Open Access Journals (Sweden)

    B. G. Venter

    1986-03-01

    Full Text Available Whey protein has an excellent nutritional value and exhibits a functional potential. In comparison with certain other food proteins, the whey protein content of essential amino acids is extremely favourable for human consumption. Depending on the heat-treatment history thereof, soluble whey proteins with utilizable functional properties, apart from high biological value, true digestibility, protein efficiency ratio and nett protein utilization, can be recovered. Various technological and chemical recovery processes have been designed. Chemically and enzymatically modified whey protein is manufactured to obtain technological and functional advantages. The important functional properties of whey proteins, namely hydration, gelation, emulsifying and foaming properties, are reviewed.

  14. A logarithmic low dark current CMOS pixel

    Science.gov (United States)

    Brunetti, Alessandro Michel; Choubey, Bhaskar

    2016-04-01

    High dynamic range pixels are required in a number of automotive and scientific applications. CMOS pixels provide different approaches to achieve this. However, these suffer from poor performance under low light conditions due to inherently high leakage current that is present in CMOS processes, also known as dark current. The typical approach to reduce this dark current involves process modifications. Nevertheless, energy considerations suggest that the leakage current will be close to zero at a close to zero voltage on the photodiode. Hence, the reduction in dark current can be achieved by forcing a zero voltage across the photodiode. In this paper, a novel logarithmic CMOS pixel design capable of reducing dark current without any process modifications is proposed. This pixel is also able to produce a wide dynamic range response. This circuit utilizes two current mirrors to force the in-pixel photodiode at a close to zero voltage. Additionally, a bias voltage is used to reduce a higher order effect known as Drain Induced Barrier Lowering (DIBL). In fact, the contribution of this effect can be compensated by increasing the body effect. In this paper, we studied the consequences of a negative bias voltage applied to the body of the current mirror pair to compensate for the DIBL effect thereby achieving a very small voltage drop on the photodiode and consequently, a higher sensitivity in low light conditions.

  15. Certain integrals involving logarithmic and exponential functions

    Directory of Open Access Journals (Sweden)

    M. Aslam Chaudhry

    1994-01-01

    Full Text Available In this paper we have evaluated the integrals∫0∞xn−1lnxexp(−ax−bx−1dxand∫0∞xn−2(ax2−b(lnx2exp(−ax−bx−1dxfor all n=1,2,3,…. Some applications of the results are discussed and an open problem is posed.

  16. Approximation solutions for indifference pricing under general utility functions

    NARCIS (Netherlands)

    Chen, An; Pelsser, Antoon; Vellekoop, M.H.

    2008-01-01

    With the aid of Taylor-based approximations, this paper presents results for pricing insurance contracts by using indifference pricing under general utility functions. We discuss the connection between the resulting "theoretical" indifference prices and the pricing rule-of-thumb that practitioners u

  17. Approximation solutions for indifference pricing under general utility functions

    NARCIS (Netherlands)

    Chen, An; Pelsser, Antoon; Vellekoop, M.H.

    2008-01-01

    With the aid of Taylor-based approximations, this paper presents results for pricing insurance contracts by using indifference pricing under general utility functions. We discuss the connection between the resulting "theoretical" indifference prices and the pricing rule-of-thumb that practitioners

  18. Approximation solutions for indifference pricing under general utility functions

    NARCIS (Netherlands)

    Chen, An; Pelsser, Antoon; Vellekoop, Michel

    2008-01-01

    With the aid of Taylor-based approximations, this paper presents results for pricing insurance contracts by using indifference pricing under general utility functions. We discuss the connection between the resulting "theoretical" indifference prices and the pricing rule-of-thumb that practitioners u

  19. Using History to Teach Mathematics: The Case of Logarithms

    Science.gov (United States)

    Panagiotou, Evangelos N.

    2011-01-01

    Many authors have discussed the question why we should use the history of mathematics to mathematics education. For example, Fauvel (For Learn Math, 11(2): 3-6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing how to introduce history into mathematics lessons is a more difficult step. We found, however, that only a limited number of articles contain instructions on how to use the material, as opposed to numerous general articles suggesting the use of the history of mathematics as a didactical tool. The present article focuses on converting the history of logarithms into material appropriate for teaching students of 11th grade, without any knowledge of calculus. History uncovers that logarithms were invented prior of the exponential function and shows that the logarithms are not an arbitrary product, as is the case when we leap straight in the definition given in all modern textbooks, but they are a response to a problem. We describe step by step the historical evolution of the concept, in a way appropriate for use in class, until the definition of the logarithm as area under the hyperbola. Next, we present the formal development of the theory and define the exponential function. The teaching sequence has been successfully undertaken in two high school classrooms.

  20. Logarithm Laws and Shrinking Target Properties

    Indian Academy of Sciences (India)

    J S Athreya

    2009-09-01

    We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation and probability theory.

  1. Platelet function testing: methods of assessment and clinical utility.

    LENUS (Irish Health Repository)

    Mylotte, Darren

    2012-02-01

    Platelets play a central role in the regulation of both thrombosis and haemostasis yet tests of platelet function have, until recently, been exclusively used in the diagnosis and management of bleeding disorders. Recent advances have demonstrated the clinical utility of platelet function testing in patients with cardiovascular disease. The ex vivo measurement of response to antiplatelet therapies (aspirin and clopidogrel), by an ever-increasing array of platelet function tests, is with some assays, predictive of adverse clinical events and thus, represents an emerging area of interest for both the clinician and basic scientist. This review article will describe the advantages and disadvantages of the currently available methods of measuring platelet function and discuss both the limitations and emerging data supporting the role of platelet function studies in clinical practice.

  2. Platelet function testing: methods of assessment and clinical utility.

    LENUS (Irish Health Repository)

    Mylotte, Darren

    2011-01-01

    Platelets play a central role in the regulation of both thrombosis and haemostasis yet tests of platelet function have, until recently, been exclusively used in the diagnosis and management of bleeding disorders. Recent advances have demonstrated the clinical utility of platelet function testing in patients with cardiovascular disease. The ex vivo measurement of response to antiplatelet therapies (aspirin and clopidogrel), by an ever-increasing array of platelet function tests, is with some assays, predictive of adverse clinical events and thus, represents an emerging area of interest for both the clinician and basic scientist. This review article will describe the advantages and disadvantages of the currently available methods of measuring platelet function and discuss both the limitations and emerging data supporting the role of platelet function studies in clinical practice.

  3. EVALUATION ALGORITHM FOR EXPONENTIAL AND LOGARITHMIC FUNCTIONS USING ENHANCED SCALING-FREE CORDIC%基于改进SF-CORDIC的指数和对数函数求值算法

    Institute of Scientific and Technical Information of China (English)

    黄晓可; 刘洛琨; 汪涛; 郭虹

    2014-01-01

    提出一种改进的SF-CORDIC(Scaling-free-Coordinate Rotation DIgital Computer)算法用于实现指数函数和对数函数的硬件计算。在双曲坐标系下,算法通过适当选取麦克劳林展开式的近似阶数,可完全省去扩展因子的计算,并利用重复基本迭代和数据预处理以扩展收敛域和计算范围。同时给出算法在双曲坐标系下旋转模式和向量模式的迭代结构。仿真实验表明,在相同精度要求下该算法相比常规CORDIC算法可减少12%面积开销。%An enhanced scaling-free CORDIC algorithm is proposed for implementing the hardware computation of exponential and logarith-mic functions.By proper selection of the approximated order of Maclaurin series the algorithm can completely eliminates the scale-factor com-putation,and uses repeated basic iteration and data pre-processing to extend the domain of convergence and computation scope.Meanwhile, both the rotation mode and vectoring mode of the proposed algorithm in hyperbolic coordinate system is presented.Simulation experiments demonstrate that 12% area consumption is able to be reduced comparing with the conventional CORDIC for same computation accuracy re-quirement.

  4. Assessing the utility of a demand assessment for functional analysis.

    Science.gov (United States)

    Roscoe, Eileen M; Rooker, Griffin W; Pence, Sacha T; Longworth, Lynlea J

    2009-01-01

    We evaluated the utility of an assessment for identifying tasks for the functional analysis demand condition with 4 individuals who had been diagnosed with autism. During the demand assessment, a therapist presented a variety of tasks, and observers measured problem behavior and compliance to identify demands associated with low levels of compliance or high levels of problem behavior (low-probability demands) and demands associated with high levels of compliance or low levels of problem behavior (high-probability demands). Results showed that clearer functional analysis outcomes were obtained for 3 of the 4 participants when low-probability rather than high-probability demands were used.

  5. Functional neuroimaging of traumatic brain injury: advances and clinical utility

    Directory of Open Access Journals (Sweden)

    Irimia A

    2015-09-01

    Full Text Available Andrei Irimia, John Darrell Van Horn USC Stevens Neuroimaging and Informatics Institute, Keck School of Medicine, University of Southern California, Los Angeles, CA, USA Abstract: Functional deficits due to traumatic brain injury (TBI can have significant and enduring consequences upon patients’ life quality and expectancy. Although functional neuroimaging is essential for understanding TBI pathophysiology, an insufficient amount of effort has been dedicated to the task of translating functional neuroimaging findings into information with clinical utility. The purpose of this review is to summarize the use of functional neuroimaging techniques – especially functional magnetic resonance imaging, diffusion tensor imaging, positron emission tomography, magnetic resonance spectroscopy, and electroencephalography – for advancing current knowledge of TBI-related brain dysfunction and for improving the rehabilitation of TBI patients. We focus on seven core areas of functional deficits, namely consciousness, motor function, attention, memory, higher cognition, personality, and affect, and, for each of these, we summarize recent findings from neuroimaging studies which have provided substantial insight into brain function changes due to TBI. Recommendations are also provided to aid in setting the direction of future neuroimaging research and for understanding brain function changes after TBI. Keywords: cognitive decline, personality change, magnetic resonance imaging, diffusion tensor imaging

  6. Generalized entropies and logarithms and their duality relations.

    Science.gov (United States)

    Hanel, Rudolf; Thurner, Stefan; Gell-Mann, Murray

    2012-11-20

    For statistical systems that violate one of the four Shannon-Khinchin axioms, entropy takes a more general form than the Boltzmann-Gibbs entropy. The framework of superstatistics allows one to formulate a maximum entropy principle with these generalized entropies, making them useful for understanding distribution functions of non-Markovian or nonergodic complex systems. For such systems where the composability axiom is violated there exist only two ways to implement the maximum entropy principle, one using escort probabilities, the other not. The two ways are connected through a duality. Here we show that this duality fixes a unique escort probability, which allows us to derive a complete theory of the generalized logarithms that naturally arise from the violation of this axiom. We then show how the functional forms of these generalized logarithms are related to the asymptotic scaling behavior of the entropy.

  7. Logarithmic scaling in the near-dissipation range of turbulence

    Indian Academy of Sciences (India)

    K R Sreenivasan; A Bershadskii

    2005-03-01

    A logarithmic scaling for structure functions, in the form ∼ [ln (r/)]$\\zeta_{p}$, where is the Kolmogorov dissipation scale and are the scaling exponents, is suggested for the statistical description of the near-dissipation range for which classical power-law scaling does not apply. From experimental data at moderate Reynolds numbers, it is shown that the logarithmic scaling, deduced from general considerations for the near-dissipation range, covers almost the entire range of scales (about two decades) of structure functions, for both velocity and passive scalar fields. This new scaling requires two empirical constants, just as the classical scaling does, and can be considered the basis for extended self-similarity.

  8. Generalized entropies and logarithms and their duality relations

    CERN Document Server

    Hanel, Rudolf; Gell-Mann, Murray; 10.1073/pnas.1216885109

    2012-01-01

    For statistical systems that violate one of the four Shannon-Khinchin axioms, entropy takes a more general form than the Boltzmann-Gibbs entropy. The framework of superstatistics allows one to formulate a maximum entropy principle with these generalized entropies, making them useful for understanding distribution functions of non-Markovian or non-ergodic complex systems. For such systems where the composability axiom is violated there exist only two ways to implement the maximum entropy principle, one using escort probabilities, the other not. The two ways are connected through a duality. Here we show that this duality fixes a unique escort probability, which allows us to derive a complete theory of the generalized logarithms that naturally arise from the violation of this axiom. We then show how the functional forms of these generalized logarithms are related to the asymptotic scaling behavior of the entropy.

  9. Off-Critical Logarithmic Minimal Models

    CERN Document Server

    Pearce, Paul A

    2012-01-01

    We consider the integrable minimal models ${\\cal M}(m,m';t)$, corresponding to the $\\varphi_{1,3}$ perturbation off-criticality, in the {\\it logarithmic limit\\,} $m, m'\\to\\infty$, $m/m'\\to p/p'$ where $p, p'$ are coprime and the limit is taken through coprime values of $m,m'$. We view these off-critical minimal models ${\\cal M}(m,m';t)$ as the continuum scaling limit of the Forrester-Baxter Restricted Solid-On-Solid (RSOS) models on the square lattice. Applying Corner Transfer Matrices to the Forrester-Baxter RSOS models in Regime III, we argue that taking first the thermodynamic limit and second the {\\it logarithmic limit\\,} yields off-critical logarithmic minimal models ${\\cal LM}(p,p';t)$ corresponding to the $\\varphi_{1,3}$ perturbation of the critical logarithmic minimal models ${\\cal LM}(p,p')$. Specifically, in accord with the Kyoto correspondence principle, we show that the logarithmic limit of the one-dimensional configurational sums yields finitized quasi-rational characters of the Kac representatio...

  10. Logarithmic Laplacian Prior Based Bayesian Inverse Synthetic Aperture Radar Imaging

    Directory of Open Access Journals (Sweden)

    Shuanghui Zhang

    2016-04-01

    Full Text Available This paper presents a novel Inverse Synthetic Aperture Radar Imaging (ISAR algorithm based on a new sparse prior, known as the logarithmic Laplacian prior. The newly proposed logarithmic Laplacian prior has a narrower main lobe with higher tail values than the Laplacian prior, which helps to achieve performance improvement on sparse representation. The logarithmic Laplacian prior is used for ISAR imaging within the Bayesian framework to achieve better focused radar image. In the proposed method of ISAR imaging, the phase errors are jointly estimated based on the minimum entropy criterion to accomplish autofocusing. The maximum a posterior (MAP estimation and the maximum likelihood estimation (MLE are utilized to estimate the model parameters to avoid manually tuning process. Additionally, the fast Fourier Transform (FFT and Hadamard product are used to minimize the required computational efficiency. Experimental results based on both simulated and measured data validate that the proposed algorithm outperforms the traditional sparse ISAR imaging algorithms in terms of resolution improvement and noise suppression.

  11. Effective Utilization of Multicore Processor for Unified Threat Management Functions

    Directory of Open Access Journals (Sweden)

    Radhakrishnan Shanmugasundaram

    2012-01-01

    Full Text Available Problem statement: Multicore and multithreaded CPUs have become the new approach for increase in the performance of the processor based systems. Numerous applications benefit from use of multiple cores. Unified threat management is one such application that has multiple functions to be implemented at high speeds. Increasing performance of the system by knowing the nature of the functionality and effective utilization of multiple processors for each of the functions warrants detailed experimentation. In this study, some of the functions of Unified Threat Management are implemented using multiple processors for each of the functions. Approach: This evaluation was conducted on SunfireT1000 server having Sun Ultras ARC T1 multicore processor. OpenMP parallelization methods are used for scheduling the logical CPUs for the parallelized application. Results: Execution time for some of the UTM functions implemented was analyzed to arrive at an effective allocation and parallelization methodology that is dependent on the hardware and the workload. Conclusion/Recommendations: Based on the analysis, the type of parallelization method for the implemented UTM functions are suggested.

  12. Classification and Powerlaws: The Logarithmic Transformation

    CERN Document Server

    Leydesdorff, Loet

    2009-01-01

    Logarithmic transformation of the data has been recommended by the literature in the case of highly skewed distributions such as those commonly found in information science. The purpose of the transformation is to make the data conform to the lognormal law of error for inferential purposes. How does this transformation affect the analysis? We factor analyze and visualize the citation environment of the Journal of the American Chemical Society (JACS) before and after a logarithmic transformation. The transformation strongly reduces the variance necessary for classificatory purposes and therefore is counterproductive to the purposes of the descriptive statistics. We recommend against the logarithmic transformation when sets cannot be defined unambiguously. The intellectual organization of the sciences is reflected in the curvilinear parts of the citation distributions, while negative powerlaws fit excellently to the tails of the distributions.

  13. Abstraction of Continuous Dynamical Systems Utilizing Lyapunov Functions

    DEFF Research Database (Denmark)

    Sloth, Christoffer; Wisniewski, Rafal

    2010-01-01

    This paper considers the development of a method for abstracting continuous dynamical systems by timed automata. The method is based on partitioning the state space of dynamical systems with invariant sets, which form cells representing locations of the timed automata. To enable verification...... of the dynamical system based on the abstraction, conditions for obtaining sound, complete, and refinable abstractions are set up. It is proposed to partition the state space utilizing sub-level sets of Lyapunov functions, since they are positive invariant sets. The existence of sound abstractions for Morse......-Smale systems and complete and refinable abstractions for linear systems are shown....

  14. Computing a logarithm of a unitary matrix with general spectrum

    CERN Document Server

    Loring, Terry A

    2012-01-01

    In theory, a unitary matrix U has a skew-hermitian logarithm H. In a computing environment one expects only to know U^*U \\approx I and might wish to compute H with e^H \\approx U and H^*= -H. This is relatively easy to accomplish using the Schur decomposition. Reasonable error bounds are derived. In cases where the norm of U^*U-I is somewhat large we discuss the utility of pre-processing with Newton's method of approximating the polar decomposition. In the case of U being J-skew-symmetric, one can insist that H be J-skew-symmetric and skew-Hermitian.

  15. Confirming the Lanchestrian linear-logarithmic model of attrition

    Energy Technology Data Exchange (ETDEWEB)

    Hartley, D.S. III.

    1990-12-01

    This paper is the fourth in a series of reports on the breakthrough research in historical validation of attrition in conflict. Significant defense policy decisions, including weapons acquisition and arms reduction, are based in part on models of conflict. Most of these models are driven by their attrition algorithms, usually forms of the Lanchester square and linear laws. None of these algorithms have been validated. The results of this paper confirm the results of earlier papers, using a large database of historical results. The homogeneous linear-logarithmic Lanchestrian attrition model is validated to the extent possible with current initial and final force size data and is consistent with the Iwo Jima data. A particular differential linear-logarithmic model is described that fits the data very well. A version of Helmbold's victory predicting parameter is also confirmed, with an associated probability function. 37 refs., 73 figs., 68 tabs.

  16. Bosonic Ghosts at $c=2$ as a Logarithmic CFT

    CERN Document Server

    Ridout, David

    2014-01-01

    Motivated by Wakimoto free field realisations, the bosonic ghost system of central charge $c=2$ is studied using a recently proposed formalism for logarithmic conformal field theories. This formalism addresses the modular properties of the theory with the aim being to determine the (Grothendieck) fusion coefficients from a variant of the Verlinde formula. The key insight, in the case of bosonic ghosts, is to introduce a family of parabolic Verma modules which dominate the spectrum of the theory. The results include S-transformation formulae for characters, non-negative integer Verlinde coefficients, and a family of modular invariant partition functions. The logarithmic nature of the corresponding ghost theories is explicitly verified using the Nahm-Gaberdiel-Kausch fusion algorithm.

  17. Swarm formation control utilizing elliptical surfaces and limiting functions.

    Science.gov (United States)

    Barnes, Laura E; Fields, Mary Anne; Valavanis, Kimon P

    2009-12-01

    In this paper, we present a strategy for organizing swarms of unmanned vehicles into a formation by utilizing artificial potential fields that were generated from normal and sigmoid functions. These functions construct the surface on which swarm members travel, controlling the overall swarm geometry and the individual member spacing. Nonlinear limiting functions are defined to provide tighter swarm control by modifying and adjusting a set of control variables that force the swarm to behave according to set constraints, formation, and member spacing. The artificial potential functions and limiting functions are combined to control swarm formation, orientation, and swarm movement as a whole. Parameters are chosen based on desired formation and user-defined constraints. This approach is computationally efficient and scales well to different swarm sizes, to heterogeneous systems, and to both centralized and decentralized swarm models. Simulation results are presented for a swarm of 10 and 40 robots that follow circle, ellipse, and wedge formations. Experimental results are included to demonstrate the applicability of the approach on a swarm of four custom-built unmanned ground vehicles (UGVs).

  18. Notes on the Stochastic Exponential and Logarithm

    OpenAIRE

    Larsson, Martin; Ruf, Johannes

    2017-01-01

    Stochastic exponentials are defined for semimartingales on stochastic intervals, and stochastic logarithms are defined for nonnegative semimartingales, up to the first time the semimartingale hits zero continuously. In the case of (nonnegative) local supermartingales, these two stochastic transformations are inverse to each other. The reciprocal of a stochastic exponential is again a stochastic exponential on a stochastic interval.

  19. Coulomb Logarithm, Version 1.0

    Energy Technology Data Exchange (ETDEWEB)

    2016-11-23

    Clog is a library of charged particle stopping powers and related Coulomb logarithm processes in a plasma. The stopping power is a particularly useful quantity for plasma physics, as it measures the energy loss of per unit length of charged particle as it traverses a plasma. Clog's primary stopping power is the BPS (Brown-Preston-Singleton) theory.

  20. Product and Quotient Rules from Logarithmic Differentiation

    Science.gov (United States)

    Chen, Zhibo

    2012-01-01

    A new application of logarithmic differentiation is presented, which provides an alternative elegant proof of two basic rules of differentiation: the product rule and the quotient rule. The proof can intrigue students, help promote their critical thinking and rigorous reasoning and deepen their understanding of previously encountered concepts. The…

  1. Time constant of logarithmic creep and relaxation

    CSIR Research Space (South Africa)

    Nabarro, FRN

    2001-07-15

    Full Text Available of logarithmic creep have been proposed, the work-hardening of a set of barriers to dislocation motion, all having the same activation energy, or the progressive exhaustion of the weaker barriers in a set which has a distribution of activation energies...

  2. Modification of logarithmic Hamiltonians and application of explicit symplectic-like integrators

    Science.gov (United States)

    Li, Dan; Wu, Xin

    2017-08-01

    We modify the logarithmic Hamiltonian of Mikkola and Tanikawa by adding a constant (or function) to both the kinetic energy and the force function. Explicit symplectic algorithms are available when the logarithmic Hamiltonian has two separable parts of coordinates and momenta. However, they are not if the logarithmic Hamiltonian is inseparable. Fortunately, they are still efficient by manipulating the logarithmic Hamiltonian as a new separable Hamiltonian in an extended phase space. In fact, they belong to symplectic-like integrators. The choice of mixing maps affects the performance of the considered symplectic-like integrators. It is shown that two maps about sequent permutations of coordinates and momenta are inferior to a map with mid-point permutations in some cases. The choice of the constant (or function) added also exerts some influence on the performance of the algorithms. As a result, with the help of the mid-point permutations and a suitable choice for the constant (or function) included, the logarithmic Hamiltonian methods bring an increase in accuracy compared to the non-logarithmic ones, particularly for highly eccentric orbits.

  3. A Factoring and Discrete Logarithm based Cryptosystem

    CERN Document Server

    Ciss, Abdoul Aziz; Sow, Djiby

    2012-01-01

    This paper introduces a new public key cryptosystem based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli) and the discrete logarithm problem. These two hard problems are combined dur- ing the key generation, encryption and decryption phases. By combining the IFP and the DLP we introduce a secure and efficient public key cryptosystem. To break the scheme, an adversary may solve the IFP and the DLP separately which is computationally infeasible. The key gen- eration is a simple operation based on the discrete logarithm modulo a composite moduli. The encryption phase is based both on the cube root computation and the DLP. These operations are computationally efficient.

  4. Leading logarithms for the nucleon mass

    Directory of Open Access Journals (Sweden)

    Johan Bijnens

    2015-02-01

    Full Text Available Within the heavy baryon chiral perturbation theory approach, we have studied the leading logarithm behavior of the nucleon mass up to four-loop order exactly and we present some results up to six-loop order as well as an all-order conjecture. The same methods allow to calculate the main logarithm multiplying the terms with fractional powers of the quark mass. We calculate thus the coefficients of m2n+1log(n−1⁡(μ2/m2 and m2n+2logn⁡(μ2/m2, with m the lowest-order pion mass. A side result is the leading divergence for a general heavy baryon loop integral.

  5. Bethe logarithm and QED shift for lithium.

    Science.gov (United States)

    Yan, Zong-Chao; Drake, G W F

    2003-09-12

    A novel finite basis set method is used to calculate the Bethe logarithm for the ground 2 (2)S(1/2) and excited 3 (2)S(1/2) states of lithium. The basis sets are constructed to span a huge range of distance scales within a single calculation, leading to well-converged values for the Bethe logarithm. The results are used to calculate an accurate value for the complete quantum electrodynamic energy shift up to order alpha(3) Ry. The calculated 3 (2)S(1/2)-2 (2)S(1/2) transition frequency for 7Li is 27 206.092 6(9) cm(-1), and the ionization potential for the 2 (2)S(1/2) state is 43 487.158 3(6) cm(-1). The 7Li-6Li isotope shift is also considered, and all the results compared with experiment.

  6. Utility maximization in incomplete markets with default

    CERN Document Server

    Lim, Thomas

    2008-01-01

    We adress the maximization problem of expected utility from terminal wealth. The special feature of this paper is that we consider a financial market where the price process of risky assets can have a default time. Using dynamic programming, we characterize the value function with a backward stochastic differential equation and the optimal portfolio policies. We separately treat the cases of exponential, power and logarithmic utility.

  7. The logarithmic negativity: A full entanglement monotone that is not convex

    OpenAIRE

    Plenio, M. B.

    2005-01-01

    It is proven that the logarithmic negativity does not increase on average under positive partial transpose preserving (PPT) operation including subselection (a set of operations that incorporate local operations and classical communication (LOCC) as a subset) and, in the process, a further proof is provided that the negativity does not increase on average under the same set of operations. Given that the logarithmic negativity is obtained from the negativity applying a concave function and is ...

  8. Security Analysis of Discrete Logarithm Based Cryptosystems

    Institute of Scientific and Technical Information of China (English)

    WANG Yuzhu; LIAO Xiaofeng

    2006-01-01

    Discrete logarithm based cryptosystems have subtle problems that make the schemes vulnerable. This paper gives a comprehensive listing of security issues in the systems and analyzes three classes of attacks which are based on mathematical structure of the group which is used in the schemes, the disclosed information of the subgroup and implementation details respectively. The analysis will, in turn, allow us to motivate protocol design and implementation decisions.

  9. Quantum logarithmic Sobolev inequalities and rapid mixing

    Energy Technology Data Exchange (ETDEWEB)

    Kastoryano, Michael J. [Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin, 14195 Berlin (Germany); Temme, Kristan [Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

    2013-05-15

    A family of logarithmic Sobolev inequalities on finite dimensional quantum state spaces is introduced. The framework of non-commutative L{sub p}-spaces is reviewed and the relationship between quantum logarithmic Sobolev inequalities and the hypercontractivity of quantum semigroups is discussed. This relationship is central for the derivation of lower bounds for the logarithmic Sobolev (LS) constants. Essential results for the family of inequalities are proved, and we show an upper bound to the generalized LS constant in terms of the spectral gap of the generator of the semigroup. These inequalities provide a framework for the derivation of improved bounds on the convergence time of quantum dynamical semigroups, when the LS constant and the spectral gap are of the same order. Convergence bounds on finite dimensional state spaces are particularly relevant for the field of quantum information theory. We provide a number of examples, where improved bounds on the mixing time of several semigroups are obtained, including the depolarizing semigroup and quantum expanders.

  10. Applying Utility Functions to Adaptation Planning for Home Automation Applications

    Science.gov (United States)

    Bratskas, Pyrros; Paspallis, Nearchos; Kakousis, Konstantinos; Papadopoulos, George A.

    A pervasive computing environment typically comprises multiple embedded devices that may interact together and with mobile users. These users are part of the environment, and they experience it through a variety of devices embedded in the environment. This perception involves technologies which may be heterogeneous, pervasive, and dynamic. Due to the highly dynamic properties of such environments, the software systems running on them have to face problems such as user mobility, service failures, or resource and goal changes which may happen in an unpredictable manner. To cope with these problems, such systems must be autonomous and self-managed. In this chapter we deal with a special kind of a ubiquitous environment, a smart home environment, and introduce a user-preference-based model for adaptation planning. The model, which dynamically forms a set of configuration plans for resources, reasons automatically and autonomously, based on utility functions, on which plan is likely to best achieve the user's goals with respect to resource availability and user needs.

  11. The exponential-logarithmic equivalence classes of surreal numbers

    CERN Document Server

    Kuhlmann, Salma

    2012-01-01

    In his monograph, H. Gonshor showed that Conway's real closed field of surreal numbers carries an exponential and logarithmic map. Subsequently, L. van den Dries and P. Ehrlich showed that it is a model of the elementary theory of the field of real numbers with the exponential function. In this paper, we give a complete description of the exponential equivalence classes in the spirit of the classical Archimedean and multiplicative equivalence classes. This description is made in terms of a recursive formula as well as a sign sequence formula for the family of representatives of minimal length of these exponential classes.

  12. Nebivolol: impact on cardiac and endothelial function and clinical utility

    Directory of Open Access Journals (Sweden)

    Toblli JE

    2012-03-01

    heart failure compared with standard care. Thus, nebivolol is an effective and well tolerated agent with benefits above those of traditional β-blockers due to its influence on nitric oxide release, which give it singular hemodynamic effects, cardioprotective activity, and a good tolerability profile. This paper reviews the pharmacology structure and properties of nebivolol, focusing on endothelial dysfunction, clinical utility, comparative efficacy, side effects, and quality of life in general with respect to the other antihypertensive agents.Keywords: beta-blockers, nebivolol, oxidative stress, endothelial function, cardiovascular protection, nitric oxide

  13. Linear independence measure of logarithms over affine groups

    OpenAIRE

    Huicochea, Mario

    2015-01-01

    Linear forms in logarithms over connected commutative algebraic groups over the algebraic numbers field have been studied widely. However, the theory of linear forms in logarithms over noncommutative algebraic groups have not been developed as the one of the commutative algebraic groups and in this paper we start studying linear forms in logarithms over affine groups.

  14. Chiral logarithms in the massless limit tamed.

    Science.gov (United States)

    Kivel, Nikolai; Polyakov, Maxim V; Vladimirov, Alexei

    2008-12-31

    We derive nonlinear recursion relations for the leading chiral logarithms (LLs) in massless theories. These relations not only provide a very efficient method of computation of LLs (e.g., the 33-loop contribution is calculated in a dozen of seconds on a PC) but also equip us with a powerful tool for the summation of the LLs. Our method is not limited to chiral perturbation theory only; it is pertinent to any nonrenormalizable effective field theory such as, for instance, the theory of critical phenomena, low-energy quantum gravity, etc.

  15. Confirming the Lanchestrian linear-logarithmic model of attrition

    Energy Technology Data Exchange (ETDEWEB)

    Hartley, D.S. III.

    1990-12-01

    This paper is the fourth in a series of reports on the breakthrough research in historical validation of attrition in conflict. Significant defense policy decisions, including weapons acquisition and arms reduction, are based in part on models of conflict. Most of these models are driven by their attrition algorithms, usually forms of the Lanchester square and linear laws. None of these algorithms have been validated. The results of this paper confirm the results of earlier papers, using a large database of historical results. The homogeneous linear-logarithmic Lanchestrian attrition model is validated to the extent possible with current initial and final force size data and is consistent with the Iwo Jima data. A particular differential linear-logarithmic model is described that fits the data very well. A version of Helmbold's victory predicting parameter is also confirmed, with an associated probability function. The implications of these findings are potentially far-reaching. Two-sided daily attrition data on a large number of battles is needed to absolutely confirm these results. Such a confirmation will require that numerous computer conflict models containing square and linear law based attrition algorithms be reexamined. It is conceivable that complex mixed, heterogeneous, square plus linear law algorithms may produce the same results as a homogeneous mixed linear-logarithmic law algorithm; however, such an occurrence is by no means assured. Even without such absolute confirmation, the results of this research allow the analysis of combat data for the effects of training, weather, leadership, and other human factors, unencumbered by the force size effects.

  16. ELASTOHYDRODYNAMIC LUBRICATION OF LOGARITHMIC PROFILE ROLLER CONTACTS

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    An account of numerical solutions to the isothermal and flooded elastohydrodynamic lubrication(EHL)of a logarithmic profile roller, which is rolling over a flat plane,is givenThe analysis takes account of sidew ays flow of lubricant in the inlet region of the contactWhen the results are p resented in suitable nondimensional groups,it is shown that more uniformly pre ssure and shape of the film distributing in axial direction is taken place under light loadingAs the increase of the load,the end closure is displayed and the oil pressure rises sharply at the endsThe seal action formed by the end closu re makes the film thickness a littleAnd the minimum film thickness is transfer red from the central to the ends and the value is reduced rapidlyAs the increa se of the speed,the end closure becomes much seriousThe optimum crowning value obtained in EHL state is larger than the design value obtained in elastostatic contact state for the same working conditionsIn order to verify the correctnes s of theory,optical interferometry is applied to measure the oil film thickness between a logarithmic profiled roller and a glass plate under pure rolling condi tionsIt is found the agreement between numerical solutions and experiments is very good

  17. Passively Mobile Communicating Logarithmic Space Machines

    CERN Document Server

    Chatzigiannakis, Ioannis; Nikolaou, Stavros; Pavlogiannis, Andreas; Spirakis, Paul G

    2010-01-01

    We propose a new theoretical model for passively mobile Wireless Sensor Networks. We call it the PALOMA model, standing for PAssively mobile LOgarithmic space MAchines. The main modification w.r.t. the Population Protocol model is that agents now, instead of being automata, are Turing Machines whose memory is logarithmic in the population size n. Note that the new model is still easily implementable with current technology. We focus on complete communication graphs. We define the complexity class PLM, consisting of all symmetric predicates on input assignments that are stably computable by the PALOMA model. We assume that the agents are initially identical. Surprisingly, it turns out that the PALOMA model can assign unique consecutive ids to the agents and inform them of the population size! This allows us to give a direct simulation of a Deterministic Turing Machine of O(nlogn) space, thus, establishing that any symmetric predicate in SPACE(nlogn) also belongs to PLM. We next prove that the PALOMA model can ...

  18. Existence of Arrow-Debreu Equilibrium with S-shaped Utility Function

    Institute of Scientific and Technical Information of China (English)

    Yang Xi

    2007-01-01

    This paper characterizes the optimal solution of subjective expected utility with S-shaped utility function, by using the prospect theory (PT). We also prove the existence of Arrow-Debreu equilibrium.

  19. Utilization of Peanut Skin Extracts as Functional Food Ingredients

    Science.gov (United States)

    Peanut skins are a by-product of the blanching industry that have not been utilized to their full potential. They have been found to contain significant quantities of compounds containing phenolic moieties such as catechins, procyanidins, and other polyphenols that have positive associations with h...

  20. Logarithmic circuit with wide dynamic range

    Science.gov (United States)

    Wiley, P. H.; Manus, E. A. (Inventor)

    1978-01-01

    A circuit deriving an output voltage that is proportional to the logarithm of a dc input voltage susceptible to wide variations in amplitude includes a constant current source which forward biases a diode so that the diode operates in the exponential portion of its voltage versus current characteristic, above its saturation current. The constant current source includes first and second, cascaded feedback, dc operational amplifiers connected in negative feedback circuit. An input terminal of the first amplifier is responsive to the input voltage. A circuit shunting the first amplifier output terminal includes a resistor in series with the diode. The voltage across the resistor is sensed at the input of the second dc operational feedback amplifier. The current flowing through the resistor is proportional to the input voltage over the wide range of variations in amplitude of the input voltage.

  1. Logarithmic current electrometer using light emitting diodes

    Science.gov (United States)

    Acharya, Y. B.; Aggarwal, A. K.

    1996-02-01

    The limit of low current measurement using logarithmic current to voltage converter is improved by 6 - 7 orders of magnitude with the use of diodes of large band gap as compared with silicon diodes. Low cost commercially available light emitting diodes (LEDs) have been used for this purpose. A theoretical study and experimental measurement of device constant and reverse saturation currents of the whole class of commercially available LEDs has been carried out. A circuit has been developed which makes use of a new technique for temperature compensation and its performance is compared with the technique in common use. The performance of the amplifier is found to be stable in the temperature range 5 - 600957-0233/7/2/005/img5 for both polarity of signals from 0957-0233/7/2/005/img6 to 0957-0233/7/2/005/img7 A.

  2. Value distribution and the Lemma of the logarithmic derivative on polydiscs

    Directory of Open Access Journals (Sweden)

    Wilhelm Stoll

    1983-01-01

    Full Text Available Value distribution is developed on polydiscs with the special emphasis that the value distribution function depend on a vector variable. A Lemma of the logarithmic derivative for meromorphic functions on polydiscs is derived. Here the Bergman boundary of the polydiscs is approached along cones of any dimension and exceptional sets for such an approach are defined.

  3. Optimal investment and indifference pricing when risk aversion is not monotone: SAHARA utility functions

    NARCIS (Netherlands)

    A. Chen; A. Pelsser; M. Vellekoop

    2008-01-01

    Abstract. We develop a new class of utility functions, SAHARA utility, with the dis- tinguishing feature that they implement the assumption that agents may become less risk-averse for very low values of wealth. This means that SAHARA utility can be used to characterize risk gambling behavior of an e

  4. On the Divergence of N(o)rlund Logarithmic Means of Walsh-Fourier Series

    Institute of Scientific and Technical Information of China (English)

    Gy(o)rgy GAT; Ushangi GOGINAVA

    2009-01-01

    It is well known in the literature that the logarithmic means1/log n n-1∑k=1 Sk(f)/kof Walsh or trigonometric Fourier series converge a.e. to the function for each integrable function on the unit interval. This is not the case if we take the partial sums. In this paper we prove that the behavior of the so-called N(o)rlund logarithmic means1/log n n-1∑k=1 Sk(f)/n-kis closer to the properties of partial sums in this point of view.

  5. Design of a Programmable Gain, Temperature Compensated Current-Input Current-Output CMOS Logarithmic Amplifier.

    Science.gov (United States)

    Ming Gu; Chakrabartty, Shantanu

    2014-06-01

    This paper presents the design of a programmable gain, temperature compensated, current-mode CMOS logarithmic amplifier that can be used for biomedical signal processing. Unlike conventional logarithmic amplifiers that use a transimpedance technique to generate a voltage signal as a logarithmic function of the input current, the proposed approach directly produces a current output as a logarithmic function of the input current. Also, unlike a conventional transimpedance amplifier the gain of the proposed logarithmic amplifier can be programmed using floating-gate trimming circuits. The synthesis of the proposed circuit is based on the Hart's extended translinear principle which involves embedding a floating-voltage source and a linear resistive element within a translinear loop. Temperature compensation is then achieved using a translinear-based resistive cancelation technique. Measured results from prototypes fabricated in a 0.5 μm CMOS process show that the amplifier has an input dynamic range of 120 dB and a temperature sensitivity of 230 ppm/°C (27 °C- 57°C), while consuming less than 100 nW of power.

  6. LOGARITHMIC GAUSS NORMAL DISTRIBUTION OF MICROLATEX PARTICLE OF EMULSION EXPLOSIVES

    Institute of Scientific and Technical Information of China (English)

    徐国财

    1998-01-01

    Microlatex particles of emulsion explosives determined by microphotography were studied with the law of logarithmic Gauss normal distribution, and results obtained showed that the microlatex particle just possessed the law of logarithmic Gauss normal distribution. The particlediameter in statistical average value, such as ONE, ONS, DES, OSV and DVM was calculated through the diagram of logarithmic Gauss normal distribution of microlatex particles of emulsion explosives, so was Sw.

  7. Reversible multi-head finite automata characterize reversible logarithmic space

    DEFF Research Database (Denmark)

    Axelsen, Holger Bock

    2012-01-01

    Deterministic and non-deterministic multi-head finite automata are known to characterize the deterministic and non- deterministic logarithmic space complexity classes, respectively. Recently, Morita introduced reversible multi-head finite automata (RMFAs), and posed the question of whether RMFAs...... characterize reversible logarithmic space as well. Here, we resolve the question affirmatively, by exhibiting a clean RMFA simulation of logarithmic space reversible Turing machines. Indirectly, this also proves that reversible and deterministic multi-head finite automata recognize the same languages....

  8. Functional characterization of the galactan utilization system of Geobacillus stearothermophilus.

    Science.gov (United States)

    Tabachnikov, Orly; Shoham, Yuval

    2013-02-01

    Type I galactan is a pectic polysaccharide composed of β-1,4 linked units of d-galactose and is part of the main plant cell wall polysaccharides, which are the most abundant sources of renewable carbon in the biosphere. The thermophilic bacterium Geobacillus stearothermophilus T-6 possesses an extensive system for the utilization of plant cell wall polysaccharides, including a 9.4-kb gene cluster, ganREFGBA, which encodes galactan-utilization elements. Based on enzyme activity assays, the ganEFGBA genes, which probably constitute an operon, are induced by short galactosaccharides but not by galactose. GanA is a glycoside hydrolase family 53 β-1,4-galactanase, active on high molecular weight galactan, producing galactotetraose as the main product. Homology modelling of the active site residues suggests that the enzyme can accommodate at least eight galactose molecules (at subsites -4 to +4) in the active site. GanB is a glycoside hydrolase family 42 β-galactosidase capable of hydrolyzing short β-1,4 galactosaccharides into galactose. Applying both GanA and GanB on galactan resulted in the full degradation of the polymer into galactose. The ganEFG genes encode an ATP-binding cassette sugar transport system whose sugar-binding lipoprotein, GanE, was shown to bind galacto-oligosaccharides. The utilization of galactan by G. stearothermophilus involves the extracellular galactanase GanA cleaving galactan into galacto-oligosaccharides that enter the cell via a specific transport system GanEFG. The galacto-oligosaccharides are further degraded by the intracellular β-galactosidase GanB into galactose, which is then metabolized into UDP-glucose via the Leloir pathway by the galKET gene products. Nucleotide sequence data have been deposited in the GenBank database under the accession number JF327803. © 2012 The Authors Journal compilation © 2012 FEBS.

  9. Paradox-Proof Utility Functions for Heavy-Tailed Payoffs: Two Instructive Two-Envelope Problems

    Directory of Open Access Journals (Sweden)

    Michael R. Powers

    2015-01-01

    Full Text Available We identify restrictions on a decision maker’s utility function that are both necessary and sufficient to preserve dominance reasoning in each of two versions of the Two-Envelope Paradox (TEP. For the classical TEP, the utility function must satisfy a certain recurrence inequality. For the St. Petersburg TEP, the utility function must be bounded above asymptotically by a power function, which can be tightened to a constant. By determining the weakest conditions for dominance reasoning to hold, the article settles an open question in the research literature. Remarkably, neither constant-bounded utility nor finite expected utility is necessary for resolving the classical TEP; instead, finite expected utility is both necessary and sufficient for resolving the St. Petersburg TEP.

  10. LOGARITHMIC LAW FOR DYNAMICAL SYSTEMS FROM QUARKS TO GALAXIES

    Directory of Open Access Journals (Sweden)

    Trunev A. P.

    2016-06-01

    Full Text Available The article discusses various examples of dynamical systems in which the motion is determined by the logarithmic law - quark systems, hydrodynamic systems, galaxies. Set the general nature of angular motion on a hypersphere in a space of arbitrary dimension and radial movement 6D in the metric of a logarithmic potential. We investigate the 6D metric describing the case of motion with two centers of symmetry. It is shown that in such a metric exists a class of exact solutions, logarithmically dependent on the gravity center coordinates. It was established that in spiral galaxies the orbital motion is due to the logarithmic potential, which is the exact solution of the field equations of Einstein's theory of gravity. The most well-known and widespread in nature case is turbulent flow over a smooth or rough surface, in which the mean velocity depends logarithmically on the distance from the wall. We derivate the logarithmic velocity profile in turbulent flow from the NavierStokes equations. An analogy of the logarithmic velocity profile and the logarithmic law in the case of erosion of materials under impacts been proposed. In electrodynamics, Ampere's law, which describes the interaction of current-carrying conductors, is a consequence of the logarithmic dependence of the vector potential of the distance from the conductor axis. There is, however, an alternative derivation of Ampere law of the Riemann hypothesis about the currents due to the motion of charges

  11. The derivation of scenic utility functions and surfaces and their role in landscape management

    Science.gov (United States)

    John W. Hamilton; Gregory J. Buhyoff; J. Douglas Wellman

    1979-01-01

    This paper outlines a methodological approach for determining relevant physical landscape features which people use in formulating judgments about scenic utility. This information, coupled with either empirically derived or rationally stipulated regression techniques, may be used to produce scenic utility functions and surfaces. These functions can provide a means for...

  12. An improved logarithmic amplifier circuit for PDS microdensitometers

    Science.gov (United States)

    Anderson, C. M.; Slovak, M. H.; Michalski, D. E.

    1984-01-01

    A high speed logarithmic amplifier circuit for the Perkin-Elmer PDS microdensitometer is discussed. The circuit is designed around an Analog Devices 757p log-amp module. The amplifier produces undistorted profiles of rapidly changing, dense ( 4) images over the available range of scanning speeds. The circuit board was designed to replace directly the manufacturer supplied unit; neither electrical nor mechanical modifications of the basic PDS are required. The performance of the circuit is illustrated through its effects on the overall modulation transfer function of the instrument and by scans of a well exposed stellar image. Circuit diagrams and parts lists a mechanism for obtaining either circuit board layout art work or finished circuit boards are presented.

  13. Logarithmic entanglement lightcone in many-body localized systems

    Science.gov (United States)

    Deng, Dong-Ling; Li, Xiaopeng; Pixley, J. H.; Wu, Yang-Le; Das Sarma, S.

    2017-01-01

    We theoretically study the response of a many-body localized system to a local quench from a quantum information perspective. We find that the local quench triggers entanglement growth throughout the whole system, giving rise to a logarithmic lightcone. This saturates the modified Lieb-Robinson bound for quantum information propagation in many-body localized systems previously conjectured based on the existence of local integrals of motion. In addition, near the localization-delocalization transition, we find that the final states after the local quench exhibit volume-law entanglement. We also show that the local quench induces a deterministic orthogonality catastrophe for highly excited eigenstates, where the typical wave-function overlap between the pre- and postquench eigenstates decays exponentially with the system size.

  14. Logarithmic Spiral-based Construction of RBF Classifiers

    Directory of Open Access Journals (Sweden)

    Mohamed Wajih Guerfala

    2017-02-01

    Full Text Available Clustering process is defined as grouping similar objects together into homogeneous groups or clusters. Objects that belong to one cluster should be very similar to each other, but objects in different clusters will be dissimilar. It aims to simplify the representation of the initial data. The automatic classification recovers all the methods allowing the automatic construction of such groups. This paper describes the design of radial basis function (RBF neural classifiers using a new algorithm for characterizing the hidden layer structure. This algorithm, called k-means Mahalanobis distance, groups the training data class by class in order to calculate the optimal number of clusters of the hidden layer, using two validity indexes. To initialize the initial clusters of k-means algorithm, the method of logarithmic spiral golden angle has been used. Two real data sets (Iris and Wine are considered to improve the efficiency of the proposed approach and the obtained results are compared with basic literature classifier

  15. John Napier life, logarithms, and legacy

    CERN Document Server

    Havil, Julian

    2014-01-01

    John Napier (1550–1617) is celebrated today as the man who invented logarithms—an enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule: the two would serve humanity as the principal means of calculation until the mid-1970s. Yet, despite Napier’s pioneering efforts, his life and work have not attracted detailed modern scrutiny. John Napier is the first contemporary biography to take an in-depth look at the multiple facets of Napier’s story: his privileged position as the eighth Laird of Merchiston and the son of influential Scottish landowners; his reputation as a magician who dabbled in alchemy; his interest in agriculture; his involvement with a notorious outlaw; his staunch anti-Catholic beliefs; his interactions with such peers as Henry Briggs, Johannes Kepler, and Tycho Brahe; and, most notably, his estimable mathematical legacy. Julian Havil explores Napier’s original development of logarithms, the motivations for his approa...

  16. Logarithmic Minimal Models with Robin Boundary Conditions

    CERN Document Server

    Bourgine, Jean-Emile; Tartaglia, Elena

    2016-01-01

    We consider general logarithmic minimal models ${\\cal LM}(p,p')$, with $p,p'$ coprime, on a strip of $N$ columns with the $(r,s)$ Robin boundary conditions introduced by Pearce, Rasmussen and Tipunin. The associated conformal boundary conditions are labelled by the Kac labels $r\\in{\\Bbb Z}$ and $s\\in{\\Bbb N}$. The Robin vacuum boundary condition, labelled by $(r,s\\!-\\!\\frac{1}{2})=(0,\\mbox{$\\textstyle \\frac{1}{2}$})$, is given as a linear combination of Neumann and Dirichlet boundary conditions. The general $(r,s)$ Robin boundary conditions are constructed, using fusion, by acting on the Robin vacuum boundary with an $(r,s)$-type seam consisting of an $r$-type seam of width $w$ columns and an $s$-type seam of width $d=s-1$ columns. The $r$-type seam admits an arbitrary boundary field which we fix to the special value $\\xi=-\\tfrac{\\lambda}{2}$ where $\\lambda=\\frac{(p'-p)\\pi}{2p'}$ is the crossing parameter. The $s$-type boundary introduces $d$ defects into the bulk. We consider the associated quantum Hamiltoni...

  17. Resummation of large logarithms in the heavy quark effects on the parton distributions inside the virtual photon

    CERN Document Server

    Kitadono, Yoshio; Uematsu, Tsuneo; Ueda, Takahiro

    2010-01-01

    We discuss the resummation of the large logarithmic terms appearing in the heavy quark effects on parton distribution functions inside the virtual photon. We incorporate heavy quark mass effects by changing the initial condition of the leading-order DGLAP evolution equation. In a certain kinematical limit, we recover the logarithmic terms of the next-to-leading order heavy quark effects obtained in the previous work. This method enables us to resum the large logarithmic terms due to heavy quark mass effects on the parton distributions in the virtual photon. We numerically calculate parton distributions using the formulae derived in this work, and discuss the property of the resummed heavy quark effects.

  18. Logarithmic conformal field theory, log-modular tensor categories and modular forms

    CERN Document Server

    Creutzig, Thomas

    2016-01-01

    The two pillars of rational conformal field theory and rational vertex operator algebras are modularity of characters on the one hand and its interpretation of modules as objects in a modular tensor category on the other one. Overarching these pillars is the Verlinde formula. In this paper we consider the more general class of logarithmic conformal field theories and $C_2$-cofinite vertex operator algebras. We suggest that their modular pillar are trace functions with insertions corresponding to intertwiners of the projective cover of the vacuum, and that the categorical pillar are finite tensor categories $\\mathcal C$ which are ribbon and whose double is isomorphic to the Deligne product $\\mathcal C\\otimes \\mathcal C^{opp}$. Overarching these pillars is then a logarithmic variant of Verlinde's formula. Numerical data realizing this are the modular $S$-matrix and modified traces of open Hopf links. The representation categories of $C_2$-cofinite and logarithmic conformal field theories that are fairly well un...

  19. A factorization approach to next-to-leading-power threshold logarithms

    CERN Document Server

    Bonocore, D; Magnea, L; Melville, S; Vernazza, L; White, C D

    2015-01-01

    Threshold logarithms become dominant in partonic cross sections when the selected final state forces gluon radiation to be soft or collinear. Such radiation factorizes at the level of scattering amplitudes, and this leads to the resummation of threshold logarithms which appear at leading power in the threshold variable. In this paper, we consider the extension of this factorization to include effects suppressed by a single power of the threshold variable. Building upon the Low-Burnett-Kroll-Del Duca (LBKD) theorem, we propose a decomposition of radiative amplitudes into universal building blocks, which contain all effects ultimately responsible for next-to-leading power (NLP) threshold logarithms in hadronic cross sections for electroweak annihilation processes. In particular, we provide a NLO evaluation of the "radiative jet function", responsible for the interference of next-to-soft and collinear effects in these cross sections. As a test, using our expression for the amplitude, we reproduce all abelian-lik...

  20. 关于广义对数平均的一个不等式的加细%Refinement of an Inequality for the Generalized Logarithmic Mean

    Institute of Scientific and Technical Information of China (English)

    石焕南; 吴善和

    2008-01-01

    In this article,we show that the generalized logarithmic mean is strictly Schurconvex function for p>2 and strictly Schur-concave function for P<2 on R2+.And then we give a refinement of an inequality for the generalized logarithmic mean inequality using a simple majoricotion relation of the vector.

  1. Utilizing Natural Diversity to Evolve Protein Function: Applications Towards Thermostability

    OpenAIRE

    Cole, Megan F.; Gaucher, Eric A.

    2011-01-01

    Protein evolution relies on designing a library of sequences that capture meaningful functional diversity in a limited number of protein variants. Several approaches take advantage of the sequence space already explored through natural selection by incorporating sequence diversity available from modern genomes (and their ancestors) when designing these libraries. The success of these approaches is due, in part, to the fact that modern sequence diversity has already been subjected to evolution...

  2. How Do Students Acquire an Understanding of Logarithmic Concepts?

    Science.gov (United States)

    Mulqueeny, Ellen

    2012-01-01

    The use of logarithms, an important tool for calculus and beyond, has been reduced to symbol manipulation without understanding in most entry-level college algebra courses. The primary aim of this research, therefore, was to investigate college students' understanding of logarithmic concepts through the use of a series of instructional tasks…

  3. Classification of hypergeometric identities for pi and other logarithms of algebraic numbers.

    Science.gov (United States)

    Chudnovsky, D V; Chudnovsky, G V

    1998-03-17

    This paper provides transcendental and algebraic framework for the classification of identities expressing pi and other logarithms of algebraic numbers as rapidly convergent generalized hypergeometric series in rational parameters. Algebraic and arithmetic relations between values of p+1Fp hypergeometric functions and their values are analyzed. The existing identities are explained, and new exhaustive classes of new ones are presented.

  4. Growth of Logarithmic Derivatives and Their Applications in Complex Differential Equations

    Directory of Open Access Journals (Sweden)

    Zinelâabidine Latreuch

    2014-01-01

    of their logarithmic derivatives. We also give an estimate of the growth of the quotient of two differential polynomials generated by solutions of the equation f″+A(zf′+B(zf=0, where A(z and B(z are entire functions.

  5. Residues of Logarithmic Differential Forms in Complex Analysis and Geometry

    Institute of Scientific and Technical Information of China (English)

    A.G.Aleksandrov

    2014-01-01

    In the article, we discuss basic concepts of the residue theory of logarithmic and multi-logarithmic differential forms, and describe some aspects of the theory, de-veloped by the author in the past few years. In particular, we introduce the notion of logarithmic differential forms with the use of the classical de Rham lemma and give an explicit description of regular meromorphic differential forms in terms of residues of logarithmic or multi-logarithmic differential forms with respect to hypersurfaces, com-plete intersections or pure-dimensional Cohen-Macaulay spaces. Among other things, several useful applications are considered, which are related with the theory of holo-nomic D-modules, the theory of Hodge structures, the theory of residual currents and others.

  6. A recursion identity for formal iterated logarithms and iterated exponentials

    CERN Document Server

    Robinson, Thomas J

    2010-01-01

    We prove a recursive identity involving formal iterated logarithms and formal iterated exponentials. These iterated logarithms and exponentials appear in a natural extension of the logarithmic formal calculus used in the study of logarithmic intertwining operators and logarithmic tensor category theory for modules for a vertex operator algebra. This extension has a variety of interesting arithmetic properties. We develop one such result here, the aforementioned recursive identity. We have applied this identity elsewhere to certain formal series expansions related to a general formal Taylor theorem and these series expansions in turn yield a sequence of combinatorial identities which have as special cases certain classical combinatorial identities involving (separately) the Stirling numbers of the first and second kinds.

  7. Straightening the Density-Displacement Relation with a Logarithmic Transform

    CERN Document Server

    Falck, Bridget L; Aragon-Calvo, Miguel A; Lavaux, Guilhem; Szalay, Alexander S

    2011-01-01

    We investigate the use of a logarithmic density variable in estimating the Lagrangian displacement field, motivated by the success of a logarithmic transformation in restoring information to the matter power spectrum. The logarithmic relation is an extension of the linear relation, motivated by the continuity equation, in which the density field is assumed to be proportional to the divergence of the displacement field; we compare the linear and logarithmic relations by measuring both of these fields directly in a cosmological N-body simulation. The relative success of the logarithmic and linear relations depends on the scale at which the density field is smoothed. Thus we explore several ways of measuring the density field, including Cloud-In-Cell smoothing, adaptive smoothing, and the (scale-independent) Delaunay tessellation, and we use both a Fourier space and a geometrical tessellation approach to measuring the divergence. We find that the relation between the divergence of the displacement field and the ...

  8. Why PMO? Towards functionality and utility of periodic mesoporous organosilicas.

    Science.gov (United States)

    Wang, Wendong; Lofgreen, Jennifer E; Ozin, Geoffrey A

    2010-12-06

    Creative synthetic chemistry has endowed the class of periodic mesoporous organosilica materials, dubbed PMO, with a variety of new and exciting compositions, properties, and functions since its inception a decade ago. Using a handful of recent trendsetting case histories, the multidisciplinary applications of PMO materials in chemistry and physics, materials science and engineering, biology, and medicine are demonstrated in a most powerful way. In doing so, this Review aims to inspire more collaborative and ambitious endeavors in the second decade of PMO research. Copyright © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

  9. Robot collision-free path planning utilizing gauge function

    Institute of Scientific and Technical Information of China (English)

    朱向阳; 朱利民; 钟秉林

    1997-01-01

    Based on the generalized gauge function, a numerical criterion which specifies the topological rela-tionship between convex polyhedra is presented. It can be applied to detecting the overlap, just contact or separation between two sets of convex polyhedra. As the solution of a linear programming problem, the value of this criterion can be calculated easily. The presented criterion is available to provide heuristic information for generating intermediate configuration point as well as checking the hypothesized path for admissibility in flexible-trajectory path planning ap-proach.

  10. Utilizing natural diversity to evolve protein function: applications towards thermostability.

    Science.gov (United States)

    Cole, Megan F; Gaucher, Eric A

    2011-06-01

    Protein evolution relies on designing a library of sequences that capture meaningful functional diversity in a limited number of protein variants. Several approaches take advantage of the sequence space already explored through natural selection by incorporating sequence diversity available from modern genomes (and their ancestors) when designing these libraries. The success of these approaches is, partly, owing to the fact that modern sequence diversity has already been subjected to evolutionary selective forces and thus the diversity has already been deemed 'fit to survive'. Five of these approaches will be discussed in this review to highlight how protein engineers can use evolutionary sequence history/diversity of homologous proteins in unique ways to design protein libraries. Copyright © 2011 Elsevier Ltd. All rights reserved.

  11. Derivation and Utilization of Functional CD8(+) Dendritic Cell Lines.

    Science.gov (United States)

    Pigni, Matteo; Ashok, Devika; Acha-Orbea, Hans

    2016-01-01

    It is notoriously difficult to obtain large quantities of non-activated dendritic cells ex vivo. For this reason, we produced and characterized a mouse model expressing the large T oncogene under the CD11c promoter (Mushi mice), in which CD8α(+) dendritic cells transform after 4 months. We derived a variety of stable cell lines from these primary lines. These cell lines reproducibly share with freshly isolated dendritic cells most surface markers, mRNA and protein expression, and all tested biological functions. Cell lines can be derived from various strains and knockout mice and can be easily transduced with lentiviruses. In this article, we describe the derivation, culture, and lentiviral transduction of these dendritic cell lines.

  12. Highly reflective polymeric substrates functionalized utilizing atomic layer deposition

    Science.gov (United States)

    Zuzuarregui, Ana; Coto, Borja; Rodríguez, Jorge; Gregorczyk, Keith E.; Ruiz de Gopegui, Unai; Barriga, Javier; Knez, Mato

    2015-08-01

    Reflective surfaces are one of the key elements of solar plants to concentrate energy in the receivers of solar thermal electricity plants. Polymeric substrates are being considered as an alternative to the widely used glass mirrors due to their intrinsic and processing advantages, but optimizing both the reflectance and the physical stability of polymeric mirrors still poses technological difficulties. In this work, polymeric surfaces have been functionalized with ceramic thin-films by atomic layer deposition. The characterization and optimization of the parameters involved in the process resulted in surfaces with a reflection index of 97%, turning polymers into a real alternative to glass substrates. The solution we present here can be easily applied in further technological areas where seemingly incompatible combinations of polymeric substrates and ceramic coatings occur.

  13. Highly reflective polymeric substrates functionalized utilizing atomic layer deposition

    Energy Technology Data Exchange (ETDEWEB)

    Zuzuarregui, Ana, E-mail: a.zuzuarregui@nanogune.eu; Gregorczyk, Keith E. [CIC Nanogune Consolider, de Tolosa Hiribidea 76, 20018 San Sebastián (Spain); Coto, Borja; Ruiz de Gopegui, Unai; Barriga, Javier [IK4-Tekniker, Iñaki Goenaga 5, 20600 Eibar (Spain); Rodríguez, Jorge [Torresol Energy (SENER Group), Avda. de Zugazarte 61, 48930 Las Arenas (Spain); Knez, Mato [CIC Nanogune Consolider, de Tolosa Hiribidea 76, 20018 San Sebastián (Spain); IKERBASQUE Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao (Spain)

    2015-08-10

    Reflective surfaces are one of the key elements of solar plants to concentrate energy in the receivers of solar thermal electricity plants. Polymeric substrates are being considered as an alternative to the widely used glass mirrors due to their intrinsic and processing advantages, but optimizing both the reflectance and the physical stability of polymeric mirrors still poses technological difficulties. In this work, polymeric surfaces have been functionalized with ceramic thin-films by atomic layer deposition. The characterization and optimization of the parameters involved in the process resulted in surfaces with a reflection index of 97%, turning polymers into a real alternative to glass substrates. The solution we present here can be easily applied in further technological areas where seemingly incompatible combinations of polymeric substrates and ceramic coatings occur.

  14. Utility function based fair data scheduling algorithm for OFDM wireless network

    Institute of Scientific and Technical Information of China (English)

    Guo Kunqi; Sun Lixin; Jia Shilou

    2007-01-01

    A system model is formulated as the maximization of a total utility function to achieve fair downlink data scheduling in multiuser orthogonal frequency division multiplexing (OFDM) wireless networks. A dynamic subcarrier allocation algorithm (DSAA) is proposed, to optimize the system model. The subcarrier allocation decision is made by the proposed DSAA according to the maximum value of total utility function with respect to the queue mean waiting time. Simulation results demonstrate that compared to the conventional algorithms, the proposed algorithm has better delay performance and can provide fairness under different loads by using different utility functions.

  15. The Function and the Utilization of Hidden Curriculum in College English Teaching

    Institute of Scientific and Technical Information of China (English)

    张英

    2013-01-01

    Explore the nature of the hidden curriculum, and utilize the positive functions of hidden curriculum with theory on English teaching and psychological linguistics to obtain desirable effects in College English teaching.

  16. Goal-Programming Model Based on the Utility Function of the Decision-maker

    Institute of Scientific and Technical Information of China (English)

    WANG Zhi-jiang

    2001-01-01

    Based on the analysis of the problems in traditional GP model, this paper provides the model with the utility function of the decision-maker and compares this model with the one presented in reference article [1].

  17. A Vector-Like Reconfigurable Floating-Point Unit for the Logarithm

    Directory of Open Access Journals (Sweden)

    Nikolaos Alachiotis

    2011-01-01

    Full Text Available The use of reconfigurable computing for accelerating floating-point intensive codes is becoming common due to the availability of DSPs in new-generation FPGAs. We present the design of an efficient, pipelined floating-point datapath for calculating the logarithm function on reconfigurable devices. We integrate the datapath into a stand-alone LUT-based (Lookup Table component, the LAU (Logarithm Approximation Unit. We extended the LAU, by integrating two architecturally independent, LAU-based datapaths into a larger component, the VLAU (vector-like LAU. The VLAU produces 2 results/cycle, while occupying the same amount of memory as the LAU. Under single precision, one LAU is 12 and 1.7 times faster than the GNU and Intel Math Kernel Library (MKL implementations, respectively. The LAU is also 1.6 times faster than the FloPoCo reconfigurable logarithm architecture. Under double precision, one LAU is 20 and 2.6 times faster than the respective GNU and MKL functions and 1.4 times faster than the FloPoCo logarithm. The VLAU is approximately twice as fast as the LAU, both under single and double precision.

  18. Transistor circuit increases range of logarithmic current amplifier

    Science.gov (United States)

    Gilmour, G.

    1966-01-01

    Circuit increases the range of a logarithmic current amplifier by combining a commercially available amplifier with a silicon epitaxial transistor. A temperature compensating network is provided for the transistor.

  19. Response time of light emitting diode-logarithmic electrometer

    Science.gov (United States)

    Acharya, Y. B.; Vyavahare, P. D.

    1998-02-01

    In a logarithmic electrometer which uses a transistor as a nonlinear element, a capacitance is generally connected across the feedback element of the operational amplifier. This stabilizes the loop but degrades the response at low current levels. However the stability problem is not so serious when a junction diode is used. In the present work an attempt was made to study the response time of a logarithmic electrometer which uses a light emitting diode (LED) as a nonlinear element and without external capacitance. The calculated values of rise time are based on an equivalent circuit with a depletion layer capacitance and voltage dependent conductance. These values are found to be in reasonable agreement with the experimentally measured values. This study will be useful in the estimation of dynamical errors in logarithmic electrometers using junction diode/LED, LED photometers and will be helpful in the techniques for improvements of the response time of logarithmic electrometers using a junction diode, particularly at low currents.

  20. Logarithms in the Year 10 A.C.

    Science.gov (United States)

    Kalman, Dan; Mitchell, Charles E.

    1981-01-01

    An alternative application of logarithms in the high school algebra curriculum that is not undermined by the existence and widespread availability of calculators is presented. The importance and use of linear relationships are underscored in the proposed lessons. (MP)

  1. Two-loop Bethe-logarithm correction in hydrogenlike atoms.

    Science.gov (United States)

    Pachucki, Krzysztof; Jentschura, Ulrich D

    2003-09-12

    We calculate the two-loop Bethe logarithm correction to atomic energy levels in hydrogenlike systems. The two-loop Bethe logarithm is a low-energy quantum electrodynamic (QED) effect involving multiple summations over virtual excited atomic states. Although much smaller in absolute magnitude than the well-known one-loop Bethe logarithm, the two-loop analog is quite significant when compared to the current experimental accuracy of the 1S-2S transition: It contributes -8.19 and -0.84 kHz for the 1S and the 2S state, respectively. The two-loop Bethe logarithm has been the largest unknown correction to the hydrogen Lamb shift to date. Together with the ongoing measurement of the proton charge radius at the Paul Scherrer Institute, its calculation will bring theoretical and experimental accuracy for the Lamb shift in atomic hydrogen to the level of 10(-7).

  2. A Non-Pythagorean Musical Scale Based on Logarithms

    CERN Document Server

    Schneider, Robert P

    2013-01-01

    A new musical scale devised by the author, based on natural logarithms, is described. Most of the logarithmic pitches bear no correspondence to the twelve tones of the ancient tuning system attributed to Pythagoras, based on ratios of whole numbers, nor to the chromatic tones of scales in equal temperament used widely in the modern era. Logarithms obey a special arithmetic compared to whole and rational numbers, which can be heard in beat frequencies between tones of the scale, suggesting extended harmonic possibilities by incorporating the beat frequencies into compositions. The author uses the broad term "non-Pythagorean" to describe the logarithmic musical scale, as the ratios of pitches are usually irrational numbers.

  3. A fixed point iteration for computing the matrix logarithm

    CERN Document Server

    Schaller, Gernot

    2007-01-01

    In various areas of applied numerics, the problem of calculating the logarithm of a matrix A emerges. Since series expansions of the logarithm usually do not converge well for matrices far away from the identity, the standard numerical method calculates successive square roots. In this article, a new algorithm is presented that relies on the computation of successive matrix exponentials. Convergence of the method is demonstrated for a large class of initial matrices and favorable choices of the initial matrix are discussed.

  4. Tables for estimating the mean of distribution of logarithms of titers based on data with a pooled serum sample.

    Science.gov (United States)

    Takahasi, K; Ishida, S; Nagasaka, K; Kurokawa, M; Asakawa, S

    1975-04-01

    A table was constructed for use in estimating the mean of distribution of logarithms of titers based on data obtained with a pooled material instead of those with individuals in a sample. A table of standard errors of the estimator was also constructed. Examples showing the utility and applicability of the tables were presented. Several relating problems were discussed.

  5. Pareto utility

    NARCIS (Netherlands)

    Masako, I.; Laeven, R.J.A.; Magnus, J.R.; Muris, C.

    2013-01-01

    In searching for an appropriate utility function in the expected utility framework, we formulate four properties that we want the utility function to satisfy. We conduct a search for such a function, and we identify Pareto utility as a function satisfying all four desired properties. Pareto utility

  6. Autonomous facial recognition system inspired by human visual system based logarithmical image visualization technique

    Science.gov (United States)

    Wan, Qianwen; Panetta, Karen; Agaian, Sos

    2017-05-01

    Autonomous facial recognition system is widely used in real-life applications, such as homeland border security, law enforcement identification and authentication, and video-based surveillance analysis. Issues like low image quality, non-uniform illumination as well as variations in poses and facial expressions can impair the performance of recognition systems. To address the non-uniform illumination challenge, we present a novel robust autonomous facial recognition system inspired by the human visual system based, so called, logarithmical image visualization technique. In this paper, the proposed method, for the first time, utilizes the logarithmical image visualization technique coupled with the local binary pattern to perform discriminative feature extraction for facial recognition system. The Yale database, the Yale-B database and the ATT database are used for computer simulation accuracy and efficiency testing. The extensive computer simulation demonstrates the method's efficiency, accuracy, and robustness of illumination invariance for facial recognition.

  7. CHARACTERIZATION OF DIESEL SPRAY IMAGES USING THE LOGARITHMIC IMAGE PROCESSING FRAMEWORK

    Directory of Open Access Journals (Sweden)

    Cecile Petit

    2011-05-01

    Full Text Available The increasing levels of emission standards in Diesel Engines require a detailed understanding, combustion and after treatment. This paper focuses on the spray development as one key parameter in the mixture preparation. The presentation of a methodology to differentiate the internal symmetry of spray images taken under different environmental conditions is presented. In a first step, a preprocessing is performed, then an image re-centering is made using the logarithmic average, afterwards different symmetry axes based on grey levels or on the plume boundary are calculated and, finally, the logarithmic distance characterizing the spray plume internal symmetry is computed. This distance gives more importance to the high grey level pixels, so using our optical setup, it characterizes the liquid continuous core symmetry. The methodology relies on the logarithmic image processing framework, providing a set of specific algebraic and functional operations to analyze images. This paper is an application of the logarithmic image processing framework on Diesel spray characterization. This is a step further in the quantitative diesel spray characterization by means of image analysis. The presented method can be applied to Diesel sprays illuminated with polychromatic or monochromatic light, under atmospheric or pressurized conditions.

  8. The logarithmic relaxation process and the critical temperature of liquids in nano-confined states

    Science.gov (United States)

    Chen, Changjiu; Wong, Kaikin; Mole, Richard A.; Yu, Dehong; Chathoth, Suresh M.

    2016-09-01

    The logarithmic relaxation process is the slowest of all relaxation processes and is exhibited by only a few molecular liquids and proteins. Bulk salol, which is a glass-forming liquid, is known to exhibit logarithmic decay of intermediate scattering function for the β-relaxation process. In this article, we report the influence of nanoscale confinements on the logarithmic relaxation process and changes in the microscopic glass-transition temperature of salol in the carbon and silica nanopores. The generalized vibrational density-of-states of the confined salol indicates that the interaction of salol with ordered nanoporous carbon is hydrophilic in nature whereas the interaction with silica surfaces is more hydrophobic. The mode-coupling theory critical temperature derived from the QENS data shows that the dynamic transition occurs at much lower temperature in the carbon pores than in silica pores. The results of this study indicate that, under nano-confinements, liquids that display logarithmic β-relaxation phenomenon undergo a unique glass transition process.

  9. Revision of the Coulomb logarithm in the ideal plasma

    CERN Document Server

    Mulser, P; Murakami, M

    2013-01-01

    The standard picture of the Coulomb logarithm in the ideal plasma is controversial, the arguments for the lower cut off need revision. The two cases of far subthermal and of far superthermal electron drift motions are accessible to a rigorous analytical treatment. We show that the lower cut off $b_{\\min}$ is a function of symmetry and shape of the shielding cloud, it is not universal. In the subthermal case shielding is spherical and $b_{\\min}$ is to be identified with the de Broglie wavelength; at superthermal drift the shielding cloud exhibits cylindrical (axial) symmetry and $b_{\\min}$ is the classical parameter of perpendicular deflection. In both situations the cut offs are determined by the electron-ion encounters at large collision parameters. This is in net contrast to the governing standard meaning that attributes $b_{\\min}$ to the Coulomb singularity at vanishing collision parameters $b$ and, consequently, assigns it universal validity. The origin of the contradictions in the traditional picture is ...

  10. Risk management activities of a non-industrial private forest owner with a bivariate utility function

    OpenAIRE

    Brunette, Marielle; Couture, Stéphane

    2014-01-01

    In this paper, we propose to analyse the choice of risk management activity made by a nonindustrial private forest owner who derives utility from consumption and from the sentimental value of the forest that bears a risk of disaster. We consider a bivariate utility function depending on consumption and sentimental value of forest. In this context, we analyse insurance and/or self-insurance decisions. We show that, under fair premium, full insurance is optimal only if the cross derivative of t...

  11. A novel utility function for energy-efficient power control game in cognitive radio networks.

    Science.gov (United States)

    Al-Gumaei, Yousef Ali; Noordin, Kamarul Ariffin; Reza, Ahmed Wasif; Dimyati, Kaharudin

    2015-01-01

    Spectrum scarcity is a major challenge in wireless communications systems requiring efficient usage and utilization. Cognitive radio network (CRN) is found as a promising technique to solve this problem of spectrum scarcity. It allows licensed and unlicensed users to share the same licensed spectrum band. Interference resulting from cognitive radios (CRs) has undesirable effects on quality of service (QoS) of both licensed and unlicensed systems where it causes degradation in received signal-to-noise ratio (SIR) of users. Power control is one of the most important techniques that can be used to mitigate interference and guarantee QoS in both systems. In this paper, we develop a new approach of a distributed power control for CRN based on utility and pricing. QoS of CR user is presented as a utility function via pricing and a distributed power control as a non-cooperative game in which users maximize their net utility (utility-price). We define the price as a real function of transmit power to increase pricing charge of the farthest CR users. We prove that the power control game proposed in this study has Nash Equilibrium as well as it is unique. The obtained results show that the proposed power control algorithm based on a new utility function has a significant reduction in transmit power consumption and high improvement in speed of convergence.

  12. Monte Carlo study of double logarithms in the small x region

    Science.gov (United States)

    Chachamis, G.; Sabio Vera, A.

    2016-04-01

    We investigate the effect of the resummation of collinear double logarithms in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) gluon Green function using the Monte Carlo event generator BFKLex. The resummed collinear terms in transverse momentum space were calculated by Sabio Vera [Nucl. Phys. B722, 65 (2005)] and correspond to the addition to the next-to-leading order BFKL kernel of a Bessel function of the first kind whose argument contains the strong coupling and a double logarithm of the ratio of the squared transverse momenta of the Reggeized gluons. We discuss how these additional terms improve the collinear convergence of the whole approach and reduce the asymptotic growth with energy of the cross sections. Taking advantage of the Monte Carlo implementation, we show how the new results reduce the diffusion of the gluon ladder into infrared and ultraviolet transverse momentum scales, while strongly affecting final state configurations by reducing the minijet multiplicity.

  13. Non-unitary conformal field theory and logarithmic operators for disordered systems

    CERN Document Server

    Maassarani, Z

    1996-01-01

    We consider the supersymmetric approach to gaussian disordered systems like the random bond Ising model and Dirac model with random mass and random potential. These models appeared in particular in the study of the integer quantum Hall transition. The supersymmetric approach reveals an osp(2/2)_1 affine symmetry at the pure critical point. A similar symmetry should hold at other fixed points. We apply methods of conformal field theory to determine the conformal weights at all levels. These weights can generically be negative because of non-unitarity. Constraints such locality allow us to quantize the level k and the conformal dimensions. This provides a class of (possibly disordered) critical points in two spatial dimensions. Solving the Knizhnik-Zamolodchikov equations we obtain a set of four-point functions which exhibit a logarithmic dependence. These functions are related to logarithmic operators. We show how all such features have a natural setting in the superalgebra approach as long as gaussian disorde...

  14. A Monte Carlo study of double logarithms in the small x region

    CERN Document Server

    Chachamis, G

    2015-01-01

    We investigate the effect of the resummation of collinear double logarithms in the BFKL gluon Green function using the Monte Carlo event generator BFKLex. The resummed collinear terms in transverse momentum space were calculated in Ref. [1] and correspond to the addition to the NLO BFKL kernel of a Bessel function of the first kind whose argument contains the strong coupling and a double logarithm of the ratio of the squared transverse momenta of the reggeized gluons. We discuss how these additional terms improve the collinear convergence of the whole approach and reduce the asymptotic growth with energy of cross sections. Taking advantage of the Monte Carlo implementation, we show how the new results reduce the diffusion of the gluon ladder into infrared and ultraviolet transverse momentum scales, while strongly affecting final state configurations by reducing the mini-jet multiplicity.

  15. Beyond Logarithmic Corrections to Cardy Formula

    CERN Document Server

    Loran, F; Vincon, M

    2010-01-01

    As shown by Cardy modular invariance of the partition function of a given unitary non-singular 2d CFT with left and right central charges c_L and c_R, implies that the density of states in a microcanonical ensemble, at excitations Delta and Delta-bar and in the saddle point approximation,is \\rho_0(\\Delta,\\bar\\Delta;c_L, c_R)=c_L c_R \\exp(2\\pi\\sqrt{{c_L\\Delta}/{6}})\\exp(2\\pi\\sqrt{{c_R\\bar\\Delta}/{6}}). In this paper, we extend Cardy's analysis and show that up to contributions which are exponentially suppressed compared to the leading Cardy's result, the density of states takes the form \\rho(\\Delta,\\bar\\Delta; c_L,c_R)= f(c_L\\Delta) f(c_R\\bar\\Delta)\\rho_0(\\Delta,\\bar\\Delta; c_L, c_R), for a function f(x) which we specify. In particular, we show that (i) \\rho (\\Delta,\\bar\\Delta; c_L, c_R) is the product of contributions of left and right movers and hence, to this approximation, the partition function of any modular invariant, non-singular unitary 2d CFT is holomorphically factorizable and (ii) \\rho(\\Delta,\\bar\\...

  16. The Essence Of Permit Function For Space Utilization Of Spatial Planning In South Sulawesi

    Directory of Open Access Journals (Sweden)

    M. Akhdor

    2015-02-01

    Full Text Available Abstract This paper examines the essence of permit function for space utilization of spatial planning in South Sulawesi. The main point is the essence of permission for using space as a control instrument sturen of space utilization by controlling space utilization in terms of development with emphasis on spatial planning. This permit serves as a director social engineers and designers in creating an orderly society space. The second is license of space utilization as budgeting tool budgetter for juridical means to increase revenue. For certain types of permits sometimes function of this budget is more dominant than the other functions but in layout struren function should take precedence of the budgettering function. The third is land use permit as an instrument of legal protection in this case it consists of two things the legal protection of the public or the public interest of the potential problems posed by the activities efforts that allowed it. Second the legal protection for the activity business is allowed itself to the possibility of disturbance or barriers of any party and by anyone.

  17. Dynamical scaling and crossover from algebraic to logarithmic growth in dilute systems

    DEFF Research Database (Denmark)

    Mouritsen, Ole G.; Shah, Peter Jivan

    1989-01-01

    The ordering dynamics of the two-dimensional Ising antiferromagnet with mobile vacancies and nonconserved order parameter is studied by Monte Carlo temperature-quenching experiments. The domain-size distribution function is shown to obey dynamical scaling. A crossover is found from an algebraic g...... growth law for the pure system to effectively logarithmic growth behavior in the dilute system, in accordance with recent experiments on ordering kinetics in impure chemisorbed overlayers and off-stoichiometric alloys....

  18. Gluons from logarithmic slopes of F{sub 2} in the NLL approximation

    Energy Technology Data Exchange (ETDEWEB)

    Golec-Biernat, K. [Institute of Nuclear Physics, Cracow (Poland)

    1994-02-01

    We make a critical, next-to-leading order, study of the accuracy of the ``Prytz`` relation, which is frequently used to extract the gluon distribution at small x from the logarithmic slopes of the structure function F{sub 2}. We find that the simple relation is not generally valid in the HERA regime, but show that it is a reasonable approximation for gluons which are sufficiency singular at small x. (author). 9 refs, 3 figs.

  19. Utility values for glaucoma in Brazil and their correlation with visual function

    Directory of Open Access Journals (Sweden)

    Paletta Guedes RA

    2014-03-01

    Full Text Available Ricardo Augusto Paletta Guedes,1–3 Vanessa Maria Paletta Guedes,1–3 Sirley Maria Freitas,2 Alfredo Chaoubah1 1Federal University of Juiz de Fora, 2Paletta Guedes Ophthalmological Center, 3Santa Casa de Misericórdia Hospital, Juiz de Fora, Brazil Purpose: We sought to identify the utility values in a group of Brazilian patients with primary open-angle glaucoma (POAG, and to assess its impact on visual acuity (VA and mean deviation index values. Materials and methods: This was a cross-sectional study of consecutive patients with POAG, who were interviewed using three methods for obtaining utility values: time trade-off (TTO, standard gamble anchored at risk of death (SG1, and standard gamble anchored at risk of blindness (SG2. Visual function variables (VA and mean deviation index in the better eye and sociodemographic characteristics (age, sex, race, and educational level were also obtained for statistical analysis. Results: The mean age (± standard deviation of the study population (n=227 was 65.7 (±15.1 years. Mean utility values for the entire population were 0.82 from TTO, 0.90 from SG1, and 0.93 from SG2 (P<0.0001. Age, race, and sex had no influence on the utility values. Higher education tended to predict higher values by TTO, but not by SG1 or SG2. Visual function variables had an influence on utility values. The more advanced the visual loss, whether measured by VA or perimetry, in the better eye, the lower the utility values by all three methods. Conclusion: We obtained utility values for Brazilian patients with POAG, as well as specific values for different levels of vision loss. Keywords: primary open-angle glaucoma, visual acuity, quality of life, utility, disease severity

  20. Non-global logarithms at finite Nc beyond leading order

    CERN Document Server

    Khelifa-Kerfa, Kamel

    2015-01-01

    We analytically compute non-global logarithms at finite Nc fully up to 4 loops and partially at 5 loops, for the hemisphere mass distribution in e+e- to di-jets to leading logarithmic accuracy. Our method of calculation relies solely on integrating the eikonal squared-amplitudes for the emission of soft energy-ordered real-virtual gluons over the appropriate phase space. We show that the series of non-global logarithms in the said distribution exhibits a pattern of exponentiation thus confirming - by means of brute force - previous findings. In the large-Nc limit, our results coincide with those recently reported in literature. A comparison of our proposed exponential form with all-orders numerical solutions is performed and the phenomenological impact of the finite-Nc corrections is discussed.

  1. Development of utility generic functional requirements for electronic work packages and computer-based procedures

    Energy Technology Data Exchange (ETDEWEB)

    Oxstrand, Johanna [Idaho National Lab. (INL), Idaho Falls, ID (United States)

    2017-06-01

    The Nuclear Electronic Work Packages - Enterprise Requirements (NEWPER) initiative is a step toward a vision of implementing an eWP framework that includes many types of eWPs. This will enable immediate paper-related cost savings in work management and provide a path to future labor efficiency gains through enhanced integration and process improvement in support of the Nuclear Promise (Nuclear Energy Institute 2016). The NEWPER initiative was organized by the Nuclear Information Technology Strategic Leadership (NITSL) group, which is an organization that brings together leaders from the nuclear utility industry and regulatory agencies to address issues involved with information technology used in nuclear-power utilities. NITSL strives to maintain awareness of industry information technology-related initiatives and events and communicates those events to its membership. NITSL and LWRS Program researchers have been coordinating activities, including joint organization of NEWPER-related meetings and report development. The main goal of the NEWPER initiative was to develop a set of utility generic functional requirements for eWP systems. This set of requirements will support each utility in their process of identifying plant-specific functional and non-functional requirements. The NEWPER initiative has 140 members where the largest group of members consists of 19 commercial U.S. nuclear utilities and eleven of the most prominent vendors of eWP solutions. Through the NEWPER initiative two sets of functional requirements were developed; functional requirements for electronic work packages and functional requirements for computer-based procedures. This paper will describe the development process as well as a summary of the requirements.

  2. Utility of the International Classification of Functioning, Disability and Health (ICF) for Educational Psychologists' Work

    Science.gov (United States)

    Aljunied, Mariam; Frederickson, Norah

    2014-01-01

    Despite embracing a bio-psycho-social perspective, the World Health Organization's International Classification of Functioning, Disability and Health (ICF) assessment framework has had limited application to date with children who have special educational needs (SEN). This study examines its utility for educational psychologists' work with…

  3. Inflation via logarithmic entropy-corrected holographic dark energy model

    Energy Technology Data Exchange (ETDEWEB)

    Darabi, F.; Felegary, F. [Azarbaijan Shahid Madani University, Department of Physics, Tabriz (Iran, Islamic Republic of); Setare, M.R. [University of Kurdistan, Department of Science, Bijar (Iran, Islamic Republic of)

    2016-12-15

    We study the inflation in terms of the logarithmic entropy-corrected holographic dark energy (LECHDE) model with future event horizon, particle horizon, and Hubble horizon cut-offs, and we compare the results with those obtained in the study of inflation by the holographic dark energy HDE model. In comparison, the spectrum of primordial scalar power spectrum in the LECHDE model becomes redder than the spectrum in the HDE model. Moreover, the consistency with the observational data in the LECHDE model of inflation constrains the reheating temperature and Hubble parameter by one parameter of holographic dark energy and two new parameters of logarithmic corrections. (orig.)

  4. Inflation via logarithmic entropy-corrected holographic dark energy model

    CERN Document Server

    Darabi, F; Setare, M R

    2016-01-01

    We study the inflation via logarithmic entropy-corrected holographic dark energy LECHDE model with future event horizon, particle horizon and Hubble horizon cut-offs, and compare the results with those of obtained in the study of inflation by holographic dark energy HDE model. In comparison, the spectrum of primordial scalar power spectrum in the LECHDE model becomes redder than the spectrum in HDE model. Moreover, the consistency with the observational data in LECHDE model of inflation, constrains the reheating temperature and Hubble parameter by one parameter of holographic dark energy and two new parameters of logarithmic corrections.

  5. Logarithmic diffusion and porous media equations: a unified description.

    Science.gov (United States)

    Pedron, I T; Mendes, R S; Buratta, T J; Malacarne, L C; Lenzi, E K

    2005-09-01

    In this work we present the logarithmic diffusion equation as a limit case when the index that characterizes a nonlinear Fokker-Planck equation, in its diffusive term, goes to zero. A linear drift and a source term are considered in this equation. Its solution has a Lorentzian form, consequently this equation characterizes a superdiffusion like a Lévy kind. In addition an equation that unifies the porous media and the logarithmic diffusion equations, including a generalized diffusion equation in fractal dimension, is obtained. This unification is performed in the nonextensive thermostatistics context and increases the possibilities about the description of anomalous diffusive processes.

  6. Time-Dependent Mean-Field Games with Logarithmic Nonlinearities

    KAUST Repository

    Gomes, Diogo A.

    2015-10-06

    In this paper, we prove the existence of classical solutions for time-dependent mean-field games with a logarithmic nonlinearity and subquadratic Hamiltonians. Because the logarithm is unbounded from below, this nonlinearity poses substantial mathematical challenges that have not been addressed in the literature. Our result is proven by recurring to a delicate argument which combines Lipschitz regularity for the Hamilton-Jacobi equation with estimates for the nonlinearity in suitable Lebesgue spaces. Lipschitz estimates follow from an application of the nonlinear adjoint method. These are then combined with a priori bounds for solutions of the Fokker-Planck equation and a concavity argument for the nonlinearity.

  7. Computing discrete logarithm by interval-valued paradigm

    Directory of Open Access Journals (Sweden)

    Benedek Nagy

    2014-03-01

    Full Text Available Interval-valued computing is a relatively new computing paradigm. It uses finitely many interval segments over the unit interval in a computation as data structure. The satisfiability of Quantified Boolean formulae and other hard problems, like integer factorization, can be solved in an effective way by its massive parallelism. The discrete logarithm problem plays an important role in practice, there are cryptographical methods based on its computational hardness. In this paper we show that the discrete logarithm problem is computable by an interval-valued computing in a polynomial number of steps (within this paradigm.

  8. Optimized invisibility cloaks from the Logarithm conformal mapping

    Science.gov (United States)

    Zhu, Chunhui; Liu, Lijun; Song, Zhengyong; Liu, Qing Huo

    2016-12-01

    Invisibility cloaks designed from the coordinate transformation method have attracted increasing interest recently. Conformal transformation optics scheme leads to cloaks that possess isotopic media, thus provides a prospective way to facilitate easier realization. Reducing the maximum value of the refractive index required by the cloaks is very important in practical imple- mentation. This letter studies on how the parameters in the logarithm conformal mapping control the cloaking effect. The optimized invisibility cloaks are designed. The maximum values of the refractive index required from the first kind and the second kind of logarithm conformal mappings are reduced to 9.779 and 12.936, respectively.

  9. The logarithmic negativity is a full entanglement monotone under measuring LOCC and PPT-operations

    CERN Document Server

    Plenio, M B

    2005-01-01

    It is proven that the logarithmic negativity does not increase on average under positive partial transpose preserving (PPT) operation including subselection (a set of operations that incorporate local operations and classical communication (LOCC) as a subset) and, in the process, a further proof is provided that the negativity does not increase on average under the same set of operations. Given that the logarithmic negativity is obtained from the negativity applying a concave function and is itself not a convex quantity this result is surprising as convexity is generally considered as describing the local physical process of losing information. The role of convexity and in particular its relation (or lack thereof) to physical processes is discussed in this context.

  10. Logarithmic Time: Its Role in Current Culture and Education

    Science.gov (United States)

    Cottey, Alan

    2012-01-01

    The timescales relevant for human culture cover a very wide range. A better appreciation of these timescales would facilitate an adequate response to humanity's ecological "slow reckoning". This article discusses the use and presentation of simple logarithmic timescales and advocates their widespread use in education. (Contains 5 notes.)

  11. Accurate nine-decade temperature-compensated logarithmic amplifier

    Science.gov (United States)

    Bobis, J. P.; Mc Dowell, W. P.; Paul, V. M.

    1969-01-01

    Transistor-driven temperature-stable amplifier with logarithmic operating characteristics permits presentation of the entire range of the reactor without range switching. This circuit is capable of monitoring ion chamber currents over spans of 8 or 9 decades and is used in nuclear reactor instrumentation. Application is found in materials under ultrahigh vacuum.

  12. A logarithmic interpretation of Edixhoven's jumps for Jacobians

    DEFF Research Database (Denmark)

    Eriksson, Dennis; Halle, Lars Halvard; Nicaise, Johannes

    2015-01-01

    Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the N\\'eron model of A that measures the behaviour of the N\\'eron model under tame base change. We interpret the jumps in this filtration in terms of lattices of logarithmic...

  13. Laws of the Iterated Logarithm for Locally Square Integrable Martingales

    Institute of Scientific and Technical Information of China (English)

    Fu Qing GAO

    2009-01-01

    Three types of laws of the iterated logarithm (LIL) for locally square integrable martingales with continuous parameter are considered by a discretization approach. By this approach, a lower bound of LIL and a number of FLIL are obtained, and Chung LIL is extended.

  14. Bound muon decay spectrum in the leading logarithmic accuracy

    CERN Document Server

    Szafron, Robert

    2016-01-01

    We compute the dominant, logarithmically enhanced radiative corrections to the electron spectrum in the bound muon decay in the whole experimentally interesting range. The corrected spectrum fits well the TWIST results. The remaining theoretical error, dominated by the nuclear charge distribution, can be reduced in the muon-electron conversion searches by measuring the spectrum slightly below the New Physics signal window.

  15. Orbital stability of Gausson solutions to logarithmic Schrodinger equations

    Directory of Open Access Journals (Sweden)

    Alex H. Ardila

    2016-12-01

    Full Text Available In this article we prove of the orbital stability of the ground state for logarithmic Schrodinger equation in any dimension and under nonradial perturbations. This general stability result was announced by Cazenave and Lions [9, Remark II.3], but no details were given there.

  16. A Formula for the Logarithm of the KZ Associator

    Directory of Open Access Journals (Sweden)

    Benjamin Enriquez

    2006-11-01

    Full Text Available We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ associator Φ to derive a formula for log(Φ in terms of MZV's (multiple zeta values.

  17. Logarithmic corrections to gravitational entropy and the null energy condition

    Science.gov (United States)

    Parikh, Maulik; Svesko, Andrew

    2016-10-01

    Using a relation between the thermodynamics of local horizons and the null energy condition, we consider the effects of quantum corrections to the gravitational entropy. In particular, we find that the geometric form of the null energy condition is not affected by the inclusion of logarithmic corrections to the Bekenstein-Hawking entropy.

  18. Logarithmic corrections to gravitational entropy and the null energy condition

    Directory of Open Access Journals (Sweden)

    Maulik Parikh

    2016-10-01

    Full Text Available Using a relation between the thermodynamics of local horizons and the null energy condition, we consider the effects of quantum corrections to the gravitational entropy. In particular, we find that the geometric form of the null energy condition is not affected by the inclusion of logarithmic corrections to the Bekenstein–Hawking entropy.

  19. Approximations for the natural logarithm from solenoid-toroid correspondence

    CERN Document Server

    Semiz, Ibrahim

    2015-01-01

    It seems reasonable that a toroid can be thought of approximately as a solenoid bent into a circle. The correspondence of the inductances of these two objects gives an approximation for the natural logarithm in terms of the average of two numbers. Different ways of averaging give different approximants. They are expressions simpler than Taylor polynomials, and are meaningful over a wider domain.

  20. Assessment of Postflight Locomotor Performance Utilizing a Test of Functional Mobility: Strategic and Adaptive Responses

    Science.gov (United States)

    Warren, L. E.; Mulavara, A. P.; Peters, B. T.; Cohen, H. S.; Richards, J. T.; Miller, C. A.; Brady, R.; Ruttley, T. M.; Bloomberg, J. J.

    2006-01-01

    have further analyzed the FMT data to characterize strategic and adaptive components during the postflight readaptation period. Crewmembers walked at a preferred pace through an obstacle course set up on a base of 10 cm thick medium density foam (Sunmate Foam, Dynamic Systems, Inc., Leicester, NC). The 6.0m X 4.0m course consisted of several pylons made of foam; a Styrofoam barrier 46.0cm high that crewmembers stepped over; and a portal constructed of two Styrofoam blocks, each 31cm high, with a horizontal bar covered by foam and suspended from the ceiling which was adjusted to the height of the crewmember s shoulder. The portal required crewmembers to bend at the waist and step over a barrier simultaneously. All obstacles were lightweight, soft and easily knocked over. Crewmembers were instructed to walk through the course as quickly and as safely as possible without touching any of the objects on the course. This task was performed three times in the clockwise direction and three times in the counterclockwise direction that was randomly chosen. The dependent measures for each trial were: time to complete the course (seconds) and the number of obstacles touched or knocked down. For each crewmember, the time to complete each FMT trial from postflight days 1, 2, 4, 7 and 25 were further analyzed. A single logarithmic curve using a least squares calculation was fit through these data to produce a single comprehensive curve (macro). This macro curve composed of data spanning 25 days, illustrates the re-adaptive learning function over the longer time scale term. Additionally, logarithmic curves were fit to the 6 data trials within each individual post flight test day to produce 5 separate daily curves. These micro curves, produced from data obtained over the course of minutes, illustrates the strategic learning function exhibited over a relative shorter time scale. The macro curve for all subjects exhibited adaptive motor learning patterns over the 25 day period. Howev, 9

  1. Statistical Portfolio Estimation under the Utility Function Depending on Exogenous Variables

    Directory of Open Access Journals (Sweden)

    Kenta Hamada

    2012-01-01

    Full Text Available In the estimation of portfolios, it is natural to assume that the utility function depends on exogenous variable. From this point of view, in this paper, we develop the estimation under the utility function depending on exogenous variable. To estimate the optimal portfolio, we introduce a function of moments of the return process and cumulant between the return processes and exogenous variable, where the function means a generalized version of portfolio weight function. First, assuming that exogenous variable is a random process, we derive the asymptotic distribution of the sample version of portfolio weight function. Then, an influence of exogenous variable on the return process is illuminated when exogenous variable has a shot noise in the frequency domain. Second, assuming that exogenous variable is nonstochastic, we derive the asymptotic distribution of the sample version of portfolio weight function. Then, an influence of exogenous variable on the return process is illuminated when exogenous variable has a harmonic trend. We also evaluate the influence of exogenous variable on the return process numerically.

  2. Utility maximization with partial information: Hamilton-Jacobi-Bellman equation approach

    Institute of Scientific and Technical Information of China (English)

    BAI Lihua; GUO Junyi

    2007-01-01

    This paper deals with the problem of maximizing the expected utility of the terminal wealth when the stock price satisfies a stochastic differential equation with instantaneous rates of return modelled as an Ornstein-Uhlenbeck process.Here, only the stock price and interest rate can be observable for an investor.It is reduced to a partially observed stochastic control problem.Combining the filtering theory with the dynamic programming approach, explicit representations of the optimal value functions and corresponding optimal strategies are derived. Moreover, closed-form solutions are provided in two cases of exponential utility and logarithmic utility.In particular, logarithmic utility is considered under the restriction of shortselling and borrowing.

  3. Real Order and Logarithmic Moment Estimation Method of P-norm Distribution

    Directory of Open Access Journals (Sweden)

    PAN Xiong

    2016-03-01

    Full Text Available The estimation methods of P-norm distribution is improved in this paper from the perspective of the parameters estimation precision and algorithm complexity. The real order and logarithmic moment estimation is introduced and the real order moment estimation method of P-norm distribution is established based on the actual error distribution. First of all, the relation between the shape parameter p and the real order value r is derived by using the real order moment estimation, and corresponding suggestions are provided for shape parameter's selection. Then, the nonlinear estimation formula of shape parameter, expectations and mean square error is derived via logarithmic moment estimation, function truncation error on the calculation of parameter estimation is eliminated and the solving method of corresponding parameters and calculation process is given, leading an improvement of the theory. Finally, some examples are performed for analyzing the stability and precision of such three methods including real order moment, logarithmic moment and maximum likelihood estimation. The result shows that the stability, precision and convergence speed of the method in this paper are better than maximum likelihood estimation, which generalized the existing errors theory.

  4. The asymptotic form of non-global logarithms, black disc saturation, and gluonic deserts

    Science.gov (United States)

    Neill, Duff

    2017-01-01

    We develop an asymptotic perturbation theory for the large logarithmic behavior of the non-linear integro-differential equation describing the soft correlations of QCD jet measurements, the Banfi-Marchesini-Smye (BMS) equation. This equation captures the late-time evolution of radiating color dipoles after a hard collision. This allows us to prove that at large values of the control variable (the non-global logarithm, a function of the infra-red energy scales associated with distinct hard jets in an event), the distribution has a gaussian tail. We compute the decay width analytically, giving a closed form expression, and find it to be jet geometry independent, up to the number of legs of the dipole in the active jet. Enabling the asymptotic expansion is the correct perturbative seed, where we perturb around an anzats encoding formally no real emissions, an intuition motivated by the buffer region found in jet dynamics. This must be supplemented with the correct application of the BFKL approximation to the BMS equation in collinear limits. Comparing to the asymptotics of the conformally related evolution equation encountered in small-x physics, the Balitisky-Kovchegov (BK) equation, we find that the asymptotic form of the non-global logarithms directly maps to the black-disc unitarity limit of the BK equation, despite the contrasting physical pictures. Indeed, we recover the equations of saturation physics in the final state dynamics of QCD.

  5. Multi-period Optimal Portfolio Decision with Transaction Costs and HARA Utility Function

    Directory of Open Access Journals (Sweden)

    Zhen Wang

    2013-01-01

    Full Text Available Portfolio selection problem is one of the core research fields in modern financial management. While considering the transaction costs in the long term investment makes the portfolio selection problems more complex than there are no transaction costs. In this paper, the general multi-period investment problems with HARA utility function and proportional transaction costs are investigated. By using the dynamic programming method, the indirect utility function is defined for solving the portfolio selection problem. The optimal strategies and the boundary of the no-transaction region are obtained in the explicit form. And the procedure for solving the original portfolio selection problem is given. Numerical example shows the feasibility and effectiveness of the method provided in this paper.

  6. Welfare Effects of Tax and Price Changes and the CES-UT Utility Function

    DEFF Research Database (Denmark)

    Munk, Knud Jørgen

    this insight cannot be articulated. This paper proposes as an alternative a parameterised utility function with explicit representation of the use of time, the CES-UT, which allows a flexible representation of the relationship between consumption and leisure. It also demonstrates how standard compensated price...... elasticities can be derived from the parameters of the CES-UT and how it may be used for applied tax reform analysis...

  7. Utilization of Carbonized Wood from Tropical Fast-Growing Trees for Functional Materials

    Directory of Open Access Journals (Sweden)

    Joko Sulistyo

    2015-01-01

    Full Text Available Pembangunan hutan tanaman dari jenis-jenis cepat tumbuh di kawasan tropis menimbulkan limbah biomassa kayu yang sebagian saat ini digunakan untuk kayu bakar dan sebagian lain digunakan untuk produksi arang dengan tujuan penggunaan yang terbatas. Pengembangan material-material fungsional untuk berbagai aplikasi teknik dengan memanfaatkan arang kayu dari jenis pohon cepat tumbuh harus mempertimbangkan struktur mikro dan struktur pori dalam arang kayu yang berhubungan dengan kondisi karbonisasi. Ulasan ini meliputi kemajuan penelitian-penelitian saat ini pada karbonisasi kayu dari pohon cepat tumbuh tropis, mekanisme perkembangan struktur mikro dan struktur pori dalam arang kayu selama karbonisasi, pemanfaatan yang tepat dari struktur mikro dan porositas dalam arang kayu untuk pengembangan material-material fungsional serta usaha dan peningkatan pengembangan material-material fungsional menggunakan arang kayu dari pohon cepat tumbuh tropis. Katakunci: arang kayu, material fungsional, pohon cepat tumbuh, karbonisasi   Utilization of Carbonized Wood from Tropical Fast-Growing Trees for Functional Materials Abstract Establishment of fast-growing tree species plantations in tropical areas generate wood biomass residue in which some of them are currently utilized for heating fuel and some others are used for charcoal production with limited purposes. The development of functional materials for engineering applications utilizing carbonized wood from fast-growing trees species have to consider the microstructure and pore structure in carbonized wood which has a relationship to the carbonization conditions. This review covers the current researches on progress in the carbonization of wood from tropical fast-growing trees, mechanism of the microstructure and pore structure development in carbonized wood during carbonization, proper utilizations of the microstructure and porosity in carbonized wood for the development of functional materials and efforts

  8. The Utility of Forms and Functions of Aggression in Emerging Adulthood: Association with Personality Disorder Symptomatology

    Science.gov (United States)

    Ostrov, Jamie M.; Houston, Rebecca J.

    2008-01-01

    A sample of 679 (341 women) emerging adults (M = 18.90 years; SD = 1.11; range = 18.00-22.92) participated in a study on the utility of forms (i.e., physical and relational) and functions (i.e., proactive and reactive) of aggression. We examined the link between these four subtypes of aggression and personality pathology (i.e., psychopathic…

  9. Utilization of Functional Exercises to Build Regional Emergency Preparedness among Rural Health Organizations in the US.

    Science.gov (United States)

    Obaid, Jannah M; Bailey, Ginger; Wheeler, Heidi; Meyers, Laura; Medcalf, Sharon J; Hansen, Keith F; Sanger, Kristine K; Lowe, John J

    2017-01-30

    Rural communities face barriers to disaster preparedness and considerable risk of disasters. Emergency preparedness among rural communities has improved with funding from federal programs and implementation of a National Incident Management System. The objective of this project was to design and implement disaster exercises to test decision making by rural response partners to improve regional planning, collaboration, and readiness. Six functional exercises were developed and conducted among three rural Nebraska (USA) regions by the Center for Preparedness Education (CPE) at the University of Nebraska Medical Center (Omaha, Nebraska USA). A total of 83 command centers participated. Six functional exercises were designed to test regional response and command-level decision making, and each 3-hour exercise was followed by a 3-hour regional after action conference. Participant feedback, single agency debriefing feedback, and regional After Action Reports were analyzed. Functional exercises were able to test command-level decision making and operations at multiple agencies simultaneously with limited funding. Observations included emergency management jurisdiction barriers to utilization of unified command and establishment of joint information centers, limited utilization of documentation necessary for reimbursement, and the need to develop coordinated public messaging. Functional exercises are a key tool for testing command-level decision making and response at a higher level than what is typically achieved in tabletop or short, full-scale exercises. Functional exercises enable evaluation of command staff, identification of areas for improvement, and advancing regional collaboration among diverse response partners. Obaid JM , Bailey G , Wheeler H , Meyers L , Medcalf SJ , Hansen KF , Sanger KK , Lowe JJ . Utilization of functional exercises to build regional emergency preparedness among rural health organizations in the US. Prehosp Disaster Med. 2017;32(2):1-7.

  10. Comparative evaluation of mathematical functions to describe growth and efficiency of phosphorus utilization in growing pigs.

    Science.gov (United States)

    Kebreab, E; Schulin-Zeuthen, M; Lopez, S; Soler, J; Dias, R S; de Lange, C F M; France, J

    2007-10-01

    Success of pig production depends on maximizing return over feed costs and addressing potential nutrient pollution to the environment. Mathematical modeling has been used to describe many important aspects of inputs and outputs of pork production. This study was undertaken to compare 4 mathematical functions for the best fit in terms of describing specific data sets on pig growth and, in a separate experiment, to compare these 4 functions for describing of P utilization for growth. Two data sets with growth data were used to conduct growth analysis and another data set was used for P efficiency analysis. All data sets were constructed from independent trials that measured BW, age, and intake. Four growth functions representing diminishing returns (monomolecular), sigmoidal with a fixed point of inflection (Gompertz), and sigmoidal with a variable point of inflection (Richards and von Bertalanffy) were used. Meta-analysis of the data was conducted to identify the most appropriate functions for growth and P utilization. Based on Bayesian information criteria, the Richards equation described the BW vs. age data best. The additional parameter of the Richards equation was necessary because the data required a lower point of inflection (138 d) than the Gompertz, with a fixed point of inflexion at 1/e times the final BW (189 d), could accommodate. Lack of flexibility in the Gompertz equation was a limitation to accurate prediction. The monomolecular equation was best at determining efficiencies of P utilization for BW gain compared with the sigmoidal functions. The parameter estimate for the rate constant in all functions decreased as available P intake increased. Average efficiencies during different stages of growth were calculated and offer insight into targeting stages where high feed (nutrient) input is required and when adjustments are needed to accommodate the loss of efficiency and the reduction of potential pollution problems. It is recommended that the Richards

  11. Metatranscriptomic and functional metagenomic analysis of methylphosphonate utilization by marine bacteria

    Directory of Open Access Journals (Sweden)

    Asuncion eMartinez

    2013-11-01

    Full Text Available Aerobic degradation of methylphosphonate (MPn by marine bacterioplankton has been hypothesized to contribute significantly to the ocean’s methane supersaturation, yet little is known about MPn utilization by marine microbes. To identify the microbial taxa and metabolic functions associated with MPn-driven methane production we performed parallel metagenomic, metatranscriptomic, and functional screening of microcosm perturbation experiments using surface water collected in North Pacific Subtropical Gyre. In nutrient amended microcosms containing MPn, a substrate-driven microbial succession occurred. Initially, the addition of glucose and nitrate resulted in a bloom of Vibrionales and a transcriptional profile dominated by glucose-specific PTS transport and polyhydroxyalkanoate biosynthesis. Transcripts associated with phosphorus (P acquisition were also overrepresented and suggested that the addition of glucose and nitrate had driven the community to P depletion. At this point, a second community shift occurred characterized by the increase in C-P lyase containing microbes of the Vibrionales and Rhodobacterales orders. Transcripts associated with C-P lyase components were among the most highly expressed at the community level, and only C-P lyase clusters were recovered in a functional screen for MPn utilization, consistent with this pathway being responsible for the majority, if not all the methane accumulation we observed. Our results identify specific bacterioplankton taxa that can utilize MPn aerobically under conditions of P limitation using the C-P lyase pathway, and thereby elicit a significant increase in the dissolved methane concentration.

  12. Truncated Moments of Nonsinglet Parton Distributions in the double logarithmic $ln^2x$ approximation

    CERN Document Server

    Kotlorz, D

    2004-01-01

    The method of truncated Mellin moments in a solving QCD evolution equations of the nonsinglet structure functions $F_2^{NS}(x,Q^2)$ and $g_1^{NS}(x,Q^2)$ is presented. All calculations are performed within double logarithmic $ln^2x$ approximation. An equation for truncated moments which incorporates $ln^2x$ effects is formulated and solved for the unintegrated structure function $f^{NS}(x,Q^2)$. The contribution to the Bjorken sum rule coming from the region of very small $x$ is quantified. Further possible improvement of this approach is also discussed.

  13. Utility of Functional Hemodynamics and Echocardiography to Aid Diagnosis and Management of Shock.

    Science.gov (United States)

    McGee, William T; Raghunathan, Karthik; Adler, Adam C

    2015-12-01

    The utility of functional hemodynamics and bedside ultrasonography is increasingly recognized as advantageous for both improved diagnosis and management of shock states. In contrast to conventional "static" measures, "dynamic" hemodynamic measures and bedside imaging modalities enhance pathophysiology-based comprehensive understanding of shock states and the response to therapy. The current editions of major textbooks in the primary specialties--in which clinicians routinely encounter patients in shock--including surgery, anesthesia, emergency medicine, and internal medicine continue to incorporate traditional (conventional) descriptions of shock that use well-described (but potentially misleading) intravascular pressures to classify shock states. Reliance on such intravascular pressure measurements is not as helpful as newer "dynamic" functional measures including ultrasonography to both better assess volume responsiveness and biventricular cardiac function. This review thus emphasizes the application of current functional hemodynamics and ultrasonography to the diagnosis and management of shock as a contrast to conventional "static" pressure-based measures.

  14. Parameters Design for Logarithmic Quantizer Based on Zoom Strategy

    Directory of Open Access Journals (Sweden)

    Jingjing Yan

    2017-01-01

    Full Text Available This paper is concerned with the problem of designing suitable parameters for logarithmic quantizer such that the closed-loop system is asymptotic convergent. Based on zoom strategy, we propose two methods for quantizer parameters design, under which it ensures that the state of the closed-loop system can load in the invariant sets after some certain moments. Then we obtain that the quantizer is unsaturated, and thus the quantization errors are bounded under the time-varying logarithm quantization strategy. On that basis, we obtain that the closed-loop system is asymptotic convergent. A benchmark example is given to show the usefulness of the proposed methods, and the comparison results are illustrated.

  15. Digital Pixel Sensor Array with Logarithmic Delta-Sigma Architecture

    Science.gov (United States)

    Mahmoodi, Alireza; Li, Jing; Joseph, Dileepan

    2013-01-01

    Like the human eye, logarithmic image sensors achieve wide dynamic range easily at video rates, but, unlike the human eye, they suffer from low peak signal-to-noise-and-distortion ratios (PSNDRs). To improve the PSNDR, we propose integrating a delta-sigma analog-to-digital converter (ADC) in each pixel. An image sensor employing this architecture is designed, built and tested in 0.18 micron complementary metal-oxide-semiconductor (CMOS) technology. It achieves a PSNDR better than state-of-the-art logarithmic sensors and comparable to the human eye. As the approach concerns an array of many ADCs, we use a small-area low-power delta-sigma design. For scalability, each pixel has its own decimator. The prototype is compared to a variety of other image sensors, linear and nonlinear, from industry and academia. PMID:23959239

  16. Evidence for hard chiral logarithms in quenched lattice QCD

    CERN Document Server

    Kim, S; Kim, Seyong; Sinclair, D K

    1995-01-01

    We present the first direct evidence that quenched QCD differs from full QCD in the chiral (m_q \\rightarrow 0) limit, as predicted by chiral perturbation theory, from our quenched lattice QCD simulations at \\beta = 6/g^2 = 6.0. We measured the spectrum of light hadrons on 16^3 \\times 64, 24^3 \\times 64 and 32^3 \\times 64, using staggered quarks of masses m_q=0.01, m_q=0.005 and m_q=0.0025. The pion masses showed clear evidence for logarithmic violations of the PCAC relation m_{\\pi}^2 \\propto m_q, as predicted by quenched chiral perturbation theory. The dependence on spatial lattice volume precludes this being a finite size effect. No evidence was seen for such chiral logarithms in the behaviour of the chiral condensate \\langle\\bar{\\psi}\\psi\\rangle.

  17. Conversion of logarithmic channel numbers into relative linear fluorescence intensity.

    Science.gov (United States)

    Schmid, I; Schmid, P; Giorgi, J V

    1988-11-01

    We describe a simple, reproducible, and generally applicable method to assess the performance of log amplifiers by using a fluorescent sample that provides multiple peaks of different intensities. The channel differences between multiple peaks are used to evaluate the logarithmic behavior of the fluorescence signal amplifier on the flow cytometer. A calibration curve can be created to correct the channel numbers for deviations from true logarithmic behavior and then convert data into relative linear intensities. By using these linear fluorescent intensities, we compared the capacity of different antisera against HIV-1 (human immunodeficiency virus type 1) peptides to inhibit the binding of HIV-1 to CEM, a CD4-positive T-cell line. A wide range of applications for this calibration procedure can be envisioned and the method is valuable for monitoring instrument performance over time.

  18. Spectral Gap and Logarithmic Sobolev Constant for Continuous Spin Systems

    Institute of Scientific and Technical Information of China (English)

    Mu Fa CHEN

    2008-01-01

    The aim of this paper is to study the spectral gap and the logarithmic Sobolev constant for continuous spin systems. A simple but general result for estimating the spectral gap of finite dimensional systems is given by Theorem 1.1, in terms of the spectral gap for one-dimensional marginals. The study of this topic provides us a chance, and it is indeed another aim of the paper, to justify the power of the results obtained previously. The exact order in dimension one (Proposition 1.4), and then the precise leading order and the explicit positive regions of the spectral gap and the logarithmic Sobolev constant for two typical infinite-dimensional models are presented (Theorems 6.2 and 6.3). Since we are interested in explicit estimates, the computations become quite involved. A long section (Section 4) is devoted to the study of the spectral gap in dimension one.

  19. Logarithmic correction to BH entropy as Noether charge

    CERN Document Server

    Aros, R; Montecinos, A

    2010-01-01

    We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equation in four dimensions. Via Wald's Noether charge formalism, we compute the contribution to the entropy coming from the anomaly induced effective action and unveil a logarithmic correction to the Bekenstein-Hawking area law. The corrected entropy is given by a seemingly universal formula involving the coefficient of the type-A trace anomaly, the Euler characteristic of the horizon and the value at the horizon of the solution to the uniformization problem for Q-curvature. Two instances are examined in detail: Schwarzschild and a four-dimensional massless topological black hole. We also find agreement with the logarithmic correction due to one-loop contribution of conformal fields in the Schwarzschild background.

  20. Digital Pixel Sensor Array with Logarithmic Delta-Sigma Architecture

    Directory of Open Access Journals (Sweden)

    Jing Li

    2013-08-01

    Full Text Available Like the human eye, logarithmic image sensors achieve wide dynamic range easily at video rates, but, unlike the human eye, they suffer from low peak signal-to-noise-and-distortion ratios (PSNDRs. To improve the PSNDR, we propose integrating a delta-sigma analog-to-digital converter (ADC in each pixel. An image sensor employing this architecture is designed, built and tested in 0.18 micron complementary metal-oxide-semiconductor (CMOS technology. It achieves a PSNDR better than state-of-the-art logarithmic sensors and comparable to the human eye. As the approach concerns an array of many ADCs, we use a small-area low-power delta-sigma design. For scalability, each pixel has its own decimator. The prototype is compared to a variety of other image sensors, linear and nonlinear, from industry and academia.

  1. Digital pixel sensor array with logarithmic delta-sigma architecture.

    Science.gov (United States)

    Mahmoodi, Alireza; Li, Jing; Joseph, Dileepan

    2013-08-16

    Like the human eye, logarithmic image sensors achieve wide dynamic range easily at video rates, but, unlike the human eye, they suffer from low peak signal-to-noise-and-distortion ratios (PSNDRs). To improve the PSNDR, we propose integrating a delta-sigma analog-to-digital converter (ADC) in each pixel. An image sensor employing this architecture is designed, built and tested in 0.18 micron complementary metal-oxide-semiconductor (CMOS) technology. It achieves a PSNDR better than state-of-the-art logarithmic sensors and comparable to the human eye. As the approach concerns an array of many ADCs, we use a small-area low-power delta-sigma design. For scalability, each pixel has its own decimator. The prototype is compared to a variety of other image sensors, linear and nonlinear, from industry and academia.

  2. Analogue Square Root Calculator Circuit Designed With Logarithmic Amplifiers

    OpenAIRE

    2016-01-01

    In many applications, it has been necessary to calculate square roots of some numbers which are correspond to some voltages values. In this study such an analogue calculator has been designed and simulated in computer medium. Circuit consist of one logarithmic and one antilogarithmic amplifier connected in cascade. The component values of circuit chosen so that the output voltage of circuit is equal to square root of input voltage. The performance of designed circuit is investigated by applyi...

  3. Logarithmic operator intervals in the boundary theory of critical percolation

    OpenAIRE

    Simmons, Jacob J. H.

    2013-01-01

    We consider the sub-sector of the $c=0$ logarithmic conformal field theory (LCFT) generated by the boundary condition changing (bcc) operator in two dimensional critical percolation. This operator is the zero weight Kac operator $\\phi_{1,2}$, identified with the growing hull of the SLE$_6$ process. We identify percolation configurations with the significant operators in the theory. We consider operators from the first four bcc operator fusions: the identity and bcc operator; the stress tensor...

  4. Bound muon decay spectrum in the leading logarithmic accuracy

    Science.gov (United States)

    Szafron, Robert; Czarnecki, Andrzej

    2016-09-01

    We compute the dominant, logarithmically enhanced radiative corrections to the electron spectrum in bound muon decay in the whole experimentally interesting range. The corrected spectrum fits well with the results from the TWIST Collaboration. The remaining theoretical error, dominated by the nuclear charge distribution, can be reduced in the muon-electron conversion searches by measuring the spectrum slightly below the new physics signal window.

  5. On Feller's criterion for the law of the iterated logarithm

    Directory of Open Access Journals (Sweden)

    Deli Li

    1994-01-01

    Full Text Available Combining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985 and Egorov (1971. In addition, these results are compared with the corresponding results of Teicher (1974, Tomkins (1983 and Tomkins (1990

  6. Logarithmic singularities of solutions to nonlinear partial differential equations

    CERN Document Server

    Tahara, Hidetoshi

    2007-01-01

    We construct a family of singular solutions to some nonlinear partial differential equations which have resonances in the sense of a paper due to T. Kobayashi. The leading term of a solution in our family contains a logarithm, possibly multiplied by a monomial. As an application, we study nonlinear wave equations with quadratic nonlinearities. The proof is by the reduction to a Fuchsian equation with singular coefficients.

  7. The clinical utility of functional capacity evaluations: the opinion of health professionals working within occupational rehabilitation.

    Science.gov (United States)

    James, Carole; MacKenzie, Lynette

    2009-01-01

    Functional Capacity Evaluations (FCE's) are used within the occupational rehabilitation arena with the aim of assessing an individual's functional abilities in relation to work tasks. Therapists use a variety of different FCE's, both standardized and non standardized. This study aimed to investigate therapists' views on the clinical utility of FCE's in general and to identify if these differed between professional groups. A cross sectional study design was used. Health professionals who conduct FCE's and who worked for WorkCover accredited rehabilitation providers in NSW were surveyed. Surveys were returned from 79 participants working for 65 different rehabilitation providers. Of those who replied, 82\\% (n=63) were occupational therapists, 13% (n=10) physiotherapists and 5% (n=5) exercise physiologists. The mean years of professional experience was 10.9 years and the mean years of FCE experience was 5.3 years. Data were analyzed using STATA [v8.0] and the clinical utility of FCE's was considered relating to: usefulness & relevance; adaptability and flexibility; therapist perceived requirements and issues in practice. No differences were found related to the clinical utility of FCE's between professional groups or years of professional experience. The results suggest consistency and similarities in how FCE's are currently used in practice across NSW (Australia). Limitations of this study and areas for further research are suggested.

  8. Leading logarithms in N-flavour mesonic Chiral Perturbation Theory

    Energy Technology Data Exchange (ETDEWEB)

    Bijnens, Johan [Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14A, S 223 62 Lund (Sweden); Kampf, Karol, E-mail: karol.kampf@mff.cuni.cz [Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, CZ-18000 Prague (Czech Republic); Lanz, Stefan [Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14A, S 223 62 Lund (Sweden); Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern (Switzerland)

    2013-08-01

    We extend earlier work on leading logarithms in the massive nonlinear O(n) sigma model to the case of SU(N)×SU(N)/SU(N) which coincides with mesonic Chiral Perturbation Theory for N flavours of light quarks. We discuss the leading logarithms for the mass and decay constant to six loops and for the vacuum expectation value 〈q{sup ¯}q〉 to seven loops. For dynamical quantities the expressions grow extremely large much faster such that we only quote the leading logarithms to five loops for the vector and scalar form factor and for meson–meson scattering. The last quantity we consider is the vector–vector to meson–meson amplitude where we quote results up to four loops for a subset of quantities, in particular for the pion polarizabilities. As a side result we provide an elementary proof that the factors of N appearing at each loop order are odd or even depending on the order and the remaining traces over external flavours.

  9. Resumming double logarithms in the QCD evolution of color dipoles

    Directory of Open Access Journals (Sweden)

    E. Iancu

    2015-05-01

    Full Text Available The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double collinear logarithms. Via an explicit calculation of Feynman graphs in light cone (time-ordered perturbation theory, we show that the corrections enhanced by double logarithms (either energy-collinear, or double collinear are associated with soft gluon emissions which are strictly ordered in lifetime. These corrections can be resummed to all orders by solving an evolution equation which is non-local in rapidity. This equation can be equivalently rewritten in local form, but with modified kernel and initial conditions, which resum double collinear logs to all orders. We extend this resummation to the next-to-leading order BFKL and BK equations. The first numerical studies of the collinearly-improved BK equation demonstrate the essential role of the resummation in both stabilizing and slowing down the evolution.

  10. Resumming double logarithms in the QCD evolution of color dipoles

    Energy Technology Data Exchange (ETDEWEB)

    Iancu, E., E-mail: edmond.iancu@cea.fr [Institut de Physique Théorique, CEA Saclay, UMR 3681, F-91191 Gif-sur-Yvette (France); Madrigal, J.D., E-mail: jose-daniel.madrigal-martinez@cea.fr [Institut de Physique Théorique, CEA Saclay, UMR 3681, F-91191 Gif-sur-Yvette (France); Mueller, A.H., E-mail: amh@phys.columbia.edu [Department of Physics, Columbia University, New York, NY 10027 (United States); Soyez, G., E-mail: gregory.soyez@cea.fr [Institut de Physique Théorique, CEA Saclay, UMR 3681, F-91191 Gif-sur-Yvette (France); Triantafyllopoulos, D.N., E-mail: trianta@ectstar.eu [European Centre for Theoretical Studies in Nuclear Physics and Related Areas ECT* and Fondazione Bruno Kessler, Strada delle Tabarelle 286, I-38123 Villazzano (Italy)

    2015-05-11

    The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double collinear logarithms. Via an explicit calculation of Feynman graphs in light cone (time-ordered) perturbation theory, we show that the corrections enhanced by double logarithms (either energy-collinear, or double collinear) are associated with soft gluon emissions which are strictly ordered in lifetime. These corrections can be resummed to all orders by solving an evolution equation which is non-local in rapidity. This equation can be equivalently rewritten in local form, but with modified kernel and initial conditions, which resum double collinear logs to all orders. We extend this resummation to the next-to-leading order BFKL and BK equations. The first numerical studies of the collinearly-improved BK equation demonstrate the essential role of the resummation in both stabilizing and slowing down the evolution.

  11. A New Cryptosystem Based on Factoring and Discrete Logarithm Problems

    Directory of Open Access Journals (Sweden)

    E. S. Ismail

    2011-01-01

    Full Text Available Problem statement: A cryptosystem allows a sender to send any confidential or private message using a receiver’s public key and later the receiver confirms the integrity of the received message using his secret key. Currently the existing cryptosystems were developed based on a single hard problem like factoring, discrete logarithm, residuosity, knapsack or elliptic curve discrete logarithm. Although these schemes appear secure, one day in a near future they may be broken if one finds a solution of a single hard problem. Approach: To solve this problem, we developed a new cryptosystem based on two hard problems; factoring and discrete logarithm. We integrated the two problems in our encrypting and decrypting equations so that the former depends on two public keys whereas the latter depends on two corresponding secret keys. Results: The new cryptosystem is shown secure against the most three considering attacks. The efficiency performance of our scheme only requires 3Texp +Tmul + Thash time complexity for encryption and 2Texp + Tmul time complexity for decryption and this magnitude of complexity is considered minimal for multiple hard problems-like cryptosystems. Conclusion: The new cryptosystem based on multiple hard problems provides longer and higher security level than that schemes based on a single hard problem. The adversary has to solve the two problems simultaneously in order to recover a corresponding plaintext (message from the received ciphertext (encrypted message.

  12. Relating the archetypes of logarithmic conformal field theory

    Science.gov (United States)

    Creutzig, Thomas; Ridout, David

    2013-07-01

    Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed studies of various examples that one may regard as archetypal. These include the c=-2 triplet model, the Wess-Zumino-Witten model on SL(2;R) at level k=-1/2 >, and its supergroup analogue on GL(1|1). Here, the latter model is studied algebraically through representation theory, fusion and modular invariance, facilitating a subsequent investigation of its cosets and extended algebras. The results show that the archetypes of logarithmic conformal field theory are in fact all very closely related, as are many other examples including, in particular, the SL(2|1) models at levels 1 and -1/2 >. The conclusion is then that the archetypal examples of logarithmic conformal field theory are practically all the same, so we should not expect that their features are in any way generic. Further archetypal examples must be sought.

  13. Relating the archetypes of logarithmic conformal field theory

    Energy Technology Data Exchange (ETDEWEB)

    Creutzig, Thomas, E-mail: tcreutzig@mathematik.tu-darmstadt.de [Department of Physics and Astronomy, University of North Carolina, Phillips Hall, CB 3255, Chapel Hill, NC 27599-3255 (United States); Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstraße 7, 64289 Darmstadt (Germany); Ridout, David, E-mail: david.ridout@anu.edu.au [Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200 (Australia); Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200 (Australia)

    2013-07-21

    Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed studies of various examples that one may regard as archetypal. These include the c=−2 triplet model, the Wess–Zumino–Witten model on SL(2;R) at level k=−1/2 , and its supergroup analogue on GL(1|1). Here, the latter model is studied algebraically through representation theory, fusion and modular invariance, facilitating a subsequent investigation of its cosets and extended algebras. The results show that the archetypes of logarithmic conformal field theory are in fact all very closely related, as are many other examples including, in particular, the SL(2|1) models at levels 1 and −1/2 . The conclusion is then that the archetypal examples of logarithmic conformal field theory are practically all the same, so we should not expect that their features are in any way generic. Further archetypal examples must be sought.

  14. A Planar Microfluidic Mixer Based on Logarithmic Spirals.

    Science.gov (United States)

    Scherr, Thomas; Quitadamo, Christian; Tesvich, Preston; Park, Daniel Sang-Won; Tiersch, Terrence; Hayes, Daniel; Choi, Jin-Woo; Nandakumar, Krishnaswamy; Monroe, W Todd

    2012-01-01

    A passive, planar micromixer design based on logarithmic spirals is presented. The device was fabricated using polydimethylsiloxane soft photolithography techniques, and mixing performance was characterized via numerical simulation and fluorescent microscopy. Mixing efficiency initially declined as Reynolds number increased, and this trend continued until a Reynolds number of 15 where a minimum was reached at 53%. Mixing efficiency then began to increase reaching a maximum mixing efficiency of 86% at Re = 67. Three-dimensional simulations of fluid mixing in this design were compared to other planar geometries such as the Archimedes spiral and Meandering-S mixers. The implementation of logarithmic curvature offers several unique advantages that enhance mixing, namely a variable cross-sectional area and a logarithmically varying radius of curvature that creates 3-D Dean vortices. These flow phenomena were observed in simulations with multilayered fluid folding and validated with confocal microscopy. This design provides improved mixing performance over a broader range of Reynolds numbers than other reported planar mixers, all while avoiding external force fields, more complicated fabrication processes, and the introduction of flow obstructions or cavities that may unintentionally affect sensitive or particulate-containing samples. Due to the planar design requiring only single-step lithographic features, this compact geometry could be easily implemented into existing micro-total analysis systems requiring effective rapid mixing.

  15. Evidence for chiral logarithms in the baryon spectrum

    CERN Document Server

    Walker-Loud, Andre

    2011-01-01

    Using precise lattice QCD computations of the baryon spectrum, we present the first direct evidence for the presence of contributions to the baryon masses which are non-analytic in the light quark masses; contributions which are often denoted "chiral logarithms". We isolate the poor convergence of SU(3) baryon chiral perturbation theory to the flavor-singlet mass combination. The flavor-octet baryon mass splittings, which are corrected by chiral logarithms at next to leading order in SU(3) chiral perturbation theory, yield baryon-pion axial coupling constants D, F, C and H consistent with QCD values; the first evidence of chiral logarithms in the baryon spectrum. The Gell-Mann--Okubo relation, a flavor-27 baryon mass splitting, which is dominated by chiral corrections from light quark masses, provides further evidence for the presence of non-analytic light quark mass dependence in the baryon spectrum; we simultaneously find the GMO relation to be inconsistent with the first few terms in a taylor expansion in ...

  16. Utility of the International Classification of Functioning, Disability and Health (ICF) for educational psychologists’ work

    Science.gov (United States)

    Aljunied, Mariam; Frederickson, Norah

    2014-01-01

    Despite embracing a bio-psycho-social perspective, the World Health Organization’s International Classification of Functioning, Disability and Health (ICF) assessment framework has had limited application to date with children who have special educational needs (SEN). This study examines its utility for educational psychologists’ work with children who have Autism Spectrum Disorders (ASD). Mothers of 40 children with ASD aged eight to 12 years were interviewed using a structured protocol based on the ICF framework. The Diagnostic Interview for Social and Communication Disorder (DISCO) was completed with a subset of 19 mothers. Internal consistency and inter-rater reliability of the interview assessments were found to be acceptable and there was evidence for concurrent and discriminant validity. Despite some limitations, initial support for the utility of the ICF model suggests its potential value across educational, health and care fields. Further consideration of its relevance to educational psychologists in new areas of multi-agency working is warranted. PMID:26157197

  17. Evaluation of a BED-SIDE Platelet Function Assay : Performance and Clinical Utility.

    Directory of Open Access Journals (Sweden)

    Lau Wei

    2002-01-01

    Full Text Available Platelets have a pivotal role in the initial defense against insult to the vasculature and are also recognized of critical importance in the acute care settings of percutaneous coronary intervention and cardiopulmonary bypass. In these environments both platelet count and function may be markedly compromised. Unfortunately, current assays to evaluate the parameters of platelet count and function are of limited utility for bed-side testing. Moreover, it is suggested that there may be significant inter patient variation in response to antiplatelet therapy that may be exacerbated by other agents (e.g. heparin that are routinely administered during cardiac intervention. Here we describe a practical, rapid and user-friendly whole blood platelet function assay that has been developed for use in bed-side settings. Platelet agonists were formulated with an anticoagulant and lyophilized in blood collection tubes standardised to receive a l mL fresh whole blood sample. In the presence of an agonist, platelets are activated and interact (aggregate. Using traditional cell counting principles, non-aggregated platelets are counted whereas aggregated platelets are not. The percentage (% of functional platelets in reference to a baseline tube may then be determined. Results are available within four minutes. Platelet aggregation in whole blood demonstrated good correlation with turbidometric aggregometry for both ADP (r=0.91 and collagen (r=0.88. Moreover, in clinical settings where antiplatelet agents were administered, this rapid, bed-side, platelet function assay demonstrated utility in monitoring patient response to these therapies. This novel bed-side assay of platelet function is extremely suitable for the clinical environment with a rapid turn-around time. In addition, it provides a full haematology profile, including platelet count, and should permit enhancement of transfusion and interventional decisions.

  18. Abbreviated quality of life scales for schizophrenia: comparison and utility of two brief community functioning measures.

    Science.gov (United States)

    Fervaha, Gagan; Foussias, George; Siddiqui, Ishraq; Agid, Ofer; Remington, Gary

    2014-04-01

    The Heinrichs-Carpenter Quality of Life Scale (QLS) is the most extensively used real-world community functioning scale in schizophrenia research. However, the extensive time required to administer it and the inclusion of items that overlap conceptually with negative symptoms limit its use across studies. The present study examined the validity and utility of two abbreviated QLS measures against the full QLS excluding negative symptom items. The sample included 1427 patients with schizophrenia who completed the baseline visit in the CATIE study. The validity of two abbreviated QLS measures (7-item and 4-item) were examined with the full QLS, excluding the intrapsychic foundations subscale, using correlation analysis. The utility of the abbreviated measures was explored by examining associations between the functioning scales and clinical variables and longitudinal change. Both abbreviated QLS measures were highly predictive of the full QLS (both r=0.91, pschizophrenia, especially when assessment of functional outcome is not the focus. Copyright © 2014 Elsevier B.V. All rights reserved.

  19. Functionalization of plasmonic metamaterials utilizing metal-organic framework thin films

    Science.gov (United States)

    Jakšić, Zoran; Popović, Zora; Djerdj, Igor; Jaćimović, Željko K.; Radulović, Katarina

    2012-05-01

    We considered theoretically and experimentally a strategy to functionalize plasmonic metamaterials utilizing either a metal-organic framework (MOF) or inorganic-organic hybrids for application in adsorption-based gas sensing. MOFs are one-dimensional (1D), 2D or 3D crystalline compounds that simultaneously contain metal ions or ion clusters and organic moieties, forming thus porous networks ensuring an increased effective surface for adsorption. Metamaterials can enhance plasmonic sensor performance through metal-dielectric nanocompositing that simultaneously tailors the electromagnetic response and boosts adsorption of the targeted analyte through the use of nanopores. To perform functionalization, it is necessary to integrate one or several layers of MOF nanocrystals with the metamaterial scaffold. The simplest approach is to use dip or drop coating or the layer-by-layer technique. The scaffolds that we considered included freestanding, ultrathin membranes and sandwich structures with nanoaperture arrays. For this investigation, we used a non-aqueous sol-gel route to synthesize vanadium oxyanthracene carboxylate, a novel material with 1D crystal structure. Our results suggest that preferential concentration of analyte within the MOF pores may ensure improved adsorption and thus sensor sensitivity enhancement. Also, one may increase selectivity by introducing nanoparticle fillers or by utilizing other functionalizing materials such as catalysts or ligands.

  20. Optimization of the dressing parameters in cylindrical grinding based on a generalized utility function

    Science.gov (United States)

    Aleksandrova, Irina

    2016-01-01

    The existing studies, concerning the dressing process, focus on the major influence of the dressing conditions on the grinding response variables. However, the choice of the dressing conditions is often made, based on the experience of the qualified staff or using data from reference books. The optimal dressing parameters, which are only valid for the particular methods and dressing and grinding conditions, are also used. The paper presents a methodology for optimization of the dressing parameters in cylindrical grinding. The generalized utility function has been chosen as an optimization parameter. It is a complex indicator determining the economic, dynamic and manufacturing characteristics of the grinding process. The developed methodology is implemented for the dressing of aluminium oxide grinding wheels by using experimental diamond roller dressers with different grit sizes made of medium- and high-strength synthetic diamonds type ??32 and ??80. To solve the optimization problem, a model of the generalized utility function is created which reflects the complex impact of dressing parameters. The model is built based on the results from the conducted complex study and modeling of the grinding wheel lifetime, cutting ability, production rate and cutting forces during grinding. They are closely related to the dressing conditions (dressing speed ratio, radial in-feed of the diamond roller dresser and dress-out time), the diamond roller dresser grit size/grinding wheel grit size ratio, the type of synthetic diamonds and the direction of dressing. Some dressing parameters are determined for which the generalized utility function has a maximum and which guarantee an optimum combination of the following: the lifetime and cutting ability of the abrasive wheels, the tangential cutting force magnitude and the production rate of the grinding process. The results obtained prove the possibility of control and optimization of grinding by selecting particular dressing

  1. Law of Iterated Logarithm for NA Sequences with Non-Identical Distributions

    Indian Academy of Sciences (India)

    Guang-Hui Cai; Hang Wu

    2007-05-01

    Based on a law of the iterated logarithm for independent random variables sequences, an iterated logarithm theorem for NA sequences with non-identical distributions is obtained. The proof is based on a Kolmogrov-type exponential inequality.

  2. The Substitution and the Revenue Effects for a Cobb-Douglas Utility Function

    Directory of Open Access Journals (Sweden)

    Catalin Angelo IOAN

    2010-12-01

    Full Text Available In the consumer’s theory, a crucial problem is to determine the substitution effect and the revenue effect in the case of one good price’s modifing. There exists two theories due to John Richard Hicks and Eugen Slutsky which allocates differents shares of the total change of the consumption to these effects. The paper makes an analysis between the two effects, considering the general case of a Cobb-Douglas utility function and introduces three indicators which will characterize these shares.

  3. The Individual Taxpayer Utility Function with Tax Optimization and Fiscal Fraud Environment

    Directory of Open Access Journals (Sweden)

    Paweł Pankiewicz

    2011-11-01

    Full Text Available In this paper I examine a taxpayer utility function determined by the extended set of variables – i.e. consumption, labor and tax-evasion propensity. This constitutes the main framework for the analysis of taxpayer’s decision making process under assumption that in the economy there exist two main reduction methods: a access to tax optimization techniques, which may decrease effective tax burden and are fully compliant with binding laws, but generate transactional costs and 2 possibility of fiscal fraud – in particular tax evasion, as the alternative method of reducing tax due, which has no direct transactional costs, but involves tax litigation risk.

  4. Total resummation of leading logarithms vs standard description of the Polarized DIS

    CERN Document Server

    Ermolaev, B I; Troyan, S I

    2006-01-01

    Total resummation of leading logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small x. DGLAP lacks such a resummation. Instead, the DGLAP expressions for g_1 are complemented with special phenomenological fits for the initial parton densities. The singular factors x^{-\\alpha} in the fits mimic the resummation and also ensure the steep (power-like) rise of g_1 at the small-x region. Furthermore, DGLAP by definition cannot describe the region of small Q^2 whereas our approach can do it.

  5. Role of Utility and Inference in the Evolution of Functional Information

    Science.gov (United States)

    Sharov, Alexei A.

    2009-01-01

    Functional information means an encoded network of functions in living organisms from molecular signaling pathways to an organism’s behavior. It is represented by two components: code and an interpretation system, which together form a self-sustaining semantic closure. Semantic closure allows some freedom between components because small variations of the code are still interpretable. The interpretation system consists of inference rules that control the correspondence between the code and the function (phenotype) and determines the shape of the fitness landscape. The utility factor operates at multiple time scales: short-term selection drives evolution towards higher survival and reproduction rate within a given fitness landscape, and long-term selection favors those fitness landscapes that support adaptability and lead to evolutionary expansion of certain lineages. Inference rules make short-term selection possible by shaping the fitness landscape and defining possible directions of evolution, but they are under control of the long-term selection of lineages. Communication normally occurs within a set of agents with compatible interpretation systems, which I call communication system. Functional information cannot be directly transferred between communication systems with incompatible inference rules. Each biological species is a genetic communication system that carries unique functional information together with inference rules that determine evolutionary directions and constraints. This view of the relation between utility and inference can resolve the conflict between realism/positivism and pragmatism. Realism overemphasizes the role of inference in evolution of human knowledge because it assumes that logic is embedded in reality. Pragmatism substitutes usefulness for truth and therefore ignores the advantage of inference. The proposed concept of evolutionary pragmatism rejects the idea that logic is embedded in reality; instead, inference rules are

  6. Functional characterization of polysaccharide utilization loci in the marine Bacteroidetes 'Gramella forsetii' KT0803.

    Science.gov (United States)

    Kabisch, Antje; Otto, Andreas; König, Sten; Becher, Dörte; Albrecht, Dirk; Schüler, Margarete; Teeling, Hanno; Amann, Rudolf I; Schweder, Thomas

    2014-07-01

    Members of the phylum Bacteroidetes are abundant in many marine ecosystems and are known to have a pivotal role in the mineralization of complex organic substrates such as polysaccharides and proteins. We studied the decomposition of the algal glycans laminarin and alginate by 'Gramella forsetii' KT0803, a bacteroidetal isolate from North Sea surface waters. A combined application of isotope labeling, subcellular protein fractionation and quantitative proteomics revealed two large polysaccharide utilization loci (PULs) that were specifically induced, one by alginate and the other by laminarin. These regulons comprised genes of surface-exposed proteins such as oligomer transporters, substrate-binding proteins, carbohydrate-active enzymes and hypothetical proteins. Besides, several glycan-specific TonB-dependent receptors and SusD-like substrate-binding proteins were expressed also in the absence of polysaccharide substrates, suggesting an anticipatory sensing function. Genes for the utilization of the beta-1,3-glucan laminarin were found to be co-regulated with genes for glucose and alpha-1,4-glucan utilization, which was not the case for the non-glucan alginate. Strong syntenies of the PULs of 'G. forsetii' with similar loci in other Bacteroidetes indicate that the specific response mechanisms of 'G. forsetii' to changes in polysaccharide availability likely apply to other Bacteroidetes. Our results can thus contribute to an improved understanding of the ecological niches of marine Bacteroidetes and their roles in the polysaccharide decomposition part of carbon cycling in marine ecosystems.

  7. The look-up table: a logarithmic converter for cell sorters.

    Science.gov (United States)

    Koper, G J; Blanken, R

    1981-11-01

    The employment of logarithmic amplifiers for flow cytometers is discussed and a logarithmic conversion algorithm is introduced. Two applications of the algorithm are given: the rescaling of a histogram and the use of a cheap programmable read-only memory circuit. The performance of the algorithm is compared with a logarithmic amplifier.

  8. Generalized logarithmic Gauss map and its relation to (co)amoebas

    CERN Document Server

    Madani, Farid

    2012-01-01

    We define the generalized logarithmic Gauss map for algebraic varieties of the complex algebraic torus of any codimension. Moreover, we describe the set of critical points of the logarithmic mapping restricted to our variety, and we show an analogous of Mikhalkin's result on the critical points of the logarithmic map restricted to a hypersurfaces.

  9. Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole

    CERN Document Server

    Kim, Yong-Wan; Park, Young-Jai

    2012-01-01

    Using the operator approach, we obtain logarithmic quasinormal modes and frequencies of a traceless spin-3 field around the BTZ black hole at the critical point of the spin-3 topologically massive gravity. The logarithmic quasinormal frequencies are also confirmed by considering logarithmic conformal field theory.

  10. Effects of mindfulness meditation on occupational functioning and health care utilization in individuals with anxiety.

    Science.gov (United States)

    Hoge, Elizabeth A; Guidos, Brittany M; Mete, Mihriye; Bui, Eric; Pollack, Mark H; Simon, Naomi M; Dutton, Mary Ann

    2017-04-01

    To examine the effect of mindfulness meditation on occupational functioning in individuals with Generalized anxiety disorder (GAD). Fifty-seven individuals with GAD (mean (SD) age=39 (13); 56% women) participated in an 8-week clinical trial in which they were randomized to mindfulness-based stress reduction (MBSR) or an attention control class. In this secondary analysis, absenteeism, entire workdays missed, partial workdays missed, and healthcare utilization patterns were assessed before and after treatment. Compared to the attention control class, participation in MBSR was associated with a significantly greater decrease in partial work days missed for adults with GAD (t=2.734, df=51, p=0.009). Interestingly, a dose effect was observed during the 24-week post-treatment follow-up period: among MBSR participants, greater home mindfulness meditation practice was associated with less work loss and with fewer mental health professional visits. Mindfulness meditation training may improve occupational functioning and decrease healthcare utilization in adults with GAD. Copyright © 2017 Elsevier Inc. All rights reserved.

  11. Operator content of the critical Potts model in d dimensions and logarithmic correlations

    Energy Technology Data Exchange (ETDEWEB)

    Vasseur, Romain, E-mail: rvasseur@berkeley.edu [Department of Physics, University of California, Berkeley, Berkeley, CA 94720 (United States); Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 (United States); Jacobsen, Jesper Lykke [LPTENS, 24 rue Lhomond, 75231 Paris (France); Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris (France)

    2014-03-15

    Using the symmetric group S{sub Q} symmetry of the Q-state Potts model, we classify the (scalar) operator content of its underlying field theory in arbitrary dimension. In addition to the usual identity, energy and magnetization operators, we find fields that generalize the N-cluster operators well-known in two dimensions, together with their subleading counterparts. We give the explicit form of all these operators – up to non-universal constants – both on the lattice and in the continuum limit for the Landau theory. We compute exactly their two- and three-point correlation functions on an arbitrary graph in terms of simple probabilities, and give the general form of these correlation functions in the continuum limit at the critical point. Specializing to integer values of the parameter Q, we argue that the analytic continuation of the S{sub Q} symmetry yields logarithmic correlations at the critical point in arbitrary dimension, thus implying a mixing of some scaling fields by the scale transformation generator. All these logarithmic correlation functions are given a clear geometrical meaning, which can be checked in numerical simulations. Several physical examples are discussed, including bond percolation, spanning trees and forests, resistor networks and the Ising model. We also briefly address the generalization of our approach to the O(n) model.

  12. Logarithme, niveaux, décibels et logique des niveaux

    OpenAIRE

    2003-01-01

    L'acoustique et l'acoustique de l'environnement utilisent couramment les décibels pour s'exprimer. Si personne ne l'ignore, on peut davantage perdre de vue le fait qu'il s'agit de niveaux de bruit, lesquels niveaux sont des logarithmes de grandeurs. En outre les valeurs numériques des niveaux de bruit en acoustique sont ordinairement comprises entre 30 et 90 décibels, une fourchette de valeurs assez familière avec laquelle on peut être tenté de faire avec les niveaux des traitements arithméti...

  13. Logarithmic divergent thermal conductivity in two-dimensional nonlinear lattices.

    Science.gov (United States)

    Wang, Lei; Hu, Bambi; Li, Baowen

    2012-10-01

    Heat conduction in three two-dimensional (2D) momentum-conserving nonlinear lattices are numerically calculated via both nonequilibrium heat-bath and equilibrium Green-Kubo algorithms. It is expected by mainstream theories that heat conduction in such 2D lattices is divergent and the thermal conductivity κ increases with lattice length N logarithmically. Our simulations for the purely quartic lattice firmly confirm it. However, very robust finite-size effects are observed in the calculations for the other two lattices, which well explain some existing studies and imply the extreme difficulties in observing their true asymptotic behaviors with affordable computation resources.

  14. CONVERGENCE RATES IN THE LAW OF LOGARITHM OF RANDOM ELEMENTS

    Institute of Scientific and Technical Information of China (English)

    梁汉营; 苏淳; 王岳宝

    2001-01-01

    We discuss the convergence rates in the law of logarithm for partial sums and randomly indexed partial sums of independent random variables in Banach space, and find the necessary and sufficient conditions on the convergence rates. The results of [1-3] for sums of i.i.d, real valued r.v.'s are extended; Yang's[4] result is generalized and the necessity part of Yang's result is also discussed; a conjecture for the i.i.d, real-valued r.v.'s of [5] is answered in Banach space.

  15. Measures and the Law of the Iterated Logarithm

    CERN Document Server

    Bhouri, Imen

    2010-01-01

    Let m be a unidimensional measure with dimension d. A natural question is to ask if the measure m is comparable with the Hausdorff measure (or the packing measure) in dimension d. We give an answer (which is in general negative) to this question in several situations (self-similar measures, quasi-Bernoulli measures). More precisely we obtain fine comparisons between the mesure m and generalized Hausdorff type (or packing type) measures. The Law of the Iterated Logarithm or estimations of the L^q-spectrum in a neighborhood of q=1 are the tools to obtain such results.

  16. Adaptive Learning of Uncontrolled Restless Bandits with Logarithmic Regret

    CERN Document Server

    Tekin, Cem

    2011-01-01

    In this paper we consider the problem of learning the optimal policy for the uncontrolled restless bandit problem. In this problem only the state of the selected arm can be observed, the state transitions are independent of control and the transition law is unknown. We propose a learning algorithm which gives logarithmic regret uniformly over time with respect to the optimal finite horizon policy with known transition law under some assumptions on the transition probabilities of the arms and the structure of the optimal stationary policy for the infinite horizon average reward problem.

  17. The Bloom-Gilman duality and leading logarithms

    Energy Technology Data Exchange (ETDEWEB)

    Carlson, C.E. [College of William and Mary, Williamsburg, VA (United States); Mukhopadhyay, N.C. [Rensselaer Polytechnic Inst., Troy, NY (United States)

    1994-04-01

    The existing inclusive electroproduction data base allows the authors a look at the issue of the relative behaviors of background and resonance excitations, a part of the Bloom-Gilman duality. These data lack accuracy at high Q{sup 2} but establish PQCD scaling in the resonance region and even allow the authors a glimpse at the leading logarithmic corrections due to the gluon radiation and its possible quenching at large W and x. These should inspire better quality experimental tests at facilities like CEBAF II.

  18. Logarithmic inventory model with shortage for deteriorating items

    Directory of Open Access Journals (Sweden)

    Khedlekar Uttam Kumar

    2013-01-01

    Full Text Available In this paper, we have modeled a business which starts with shortage of deteriorating items. After a duration, managers have freedom to order the stock of assurance of committed customers. There are many products that follow logarithmic demand pattern, so in this paper we incorporate it with the shortage of items at the beginning. A new model is developed to obtain the optimal solution for such type of market situation and have obtained some valuable results. Numerical examples and simulation study is appended along with managerial insights.

  19. Impact of lung function on exacerbations, health care utilization, and costs among patients with COPD

    Directory of Open Access Journals (Sweden)

    Ke X

    2016-07-01

    Full Text Available Xuehua Ke,1 Jessica Marvel,2 Tzy-Chyi Yu,2 Debra Wertz,1 Caroline Geremakis,1 Liya Wang,1 Judith J Stephenson,1 David M Mannino3 1HealthCore Inc., Wilmington, DE, 2Novartis Pharmaceuticals Corporation, East Hanover, NJ, 3University of Kentucky, Lexington, KY, USA Objective: To evaluate the impact of lung function, measured as forced expiratory volume in 1 second (FEV1 % predicted, on health care resource utilization and costs among patients with COPD in a real-world US managed-care population.Methods: This observational retrospective cohort study utilized administrative claim data augmented with medical record data. The study population consisted of patients with one or more medical claims for pre- and postbronchodilator spirometry during the intake period (July 1, 2012 to June 30, 2013. The index date was the date of the earliest medical claim for pre- and postbronchodilator spirometry. Spirometry results were abstracted from patients’ medical records. Patients were divided into two groups (low FEV1% predicted [<50%] and high FEV1% predicted [≥50%] based on the 2014 Global Initiative for Chronic Obstructive Lung Disease report. Health care resource utilization and costs were based on the prevalence and number of discrete encounters during the 12-month postindex follow-up period. Costs were adjusted to 2014 US dollars.Results: A total of 754 patients were included (n=297 low FEV1% predicted group, n=457 high FEV1% predicted group. COPD exacerbations were more prevalent in the low FEV1% predicted group compared with the high group during the 12-month pre- (52.5% vs 39.6% and postindex periods (49.8% vs 36.8%. Mean (standard deviation follow-up all-cause and COPD-related costs were $27,380 ($38,199 and $15,873 ($29,609 for patients in the low FEV1% predicted group, and $22,075 ($28,108 and $10,174 ($18,521 for patients in the high group. In the multivariable analyses, patients in the low FEV1% predicted group were more likely to have COPD

  20. Whole-farm planning under uncertainty : impacts of subsidy scheme and utility function on portfolio choice in Norwegian agriculture

    NARCIS (Netherlands)

    Lien, G.; Hardaker, J.B.

    2001-01-01

    This paper addresses the impacts of degree of risk aversion, subsidy scheme and choice of utility function on optimal farm plans in Norwegian agriculture. Data from a farm business survey (1991-1997) are combined with subjective judgements to formulate a two-stage utility-efficient programming model

  1. Logarithmic divergences in the k-inflationary power spectra computed through the uniform approximation

    Science.gov (United States)

    Alinea, Allan L.; Kubota, Takahiro; Naylor, Wade

    2016-02-01

    We investigate a calculation method for solving the Mukhanov-Sasaki equation in slow-roll k-inflation based on the uniform approximation (UA) in conjunction with an expansion scheme for slow-roll parameters with respect to the number of e-folds about the so-called turning point. Earlier works on this method have so far gained some promising results derived from the approximating expressions for the power spectra among others, up to second order with respect to the Hubble and sound flow parameters, when compared to other semi-analytical approaches (e.g., Green's function and WKB methods). However, a closer inspection is suggestive that there is a problem when higher-order parts of the power spectra are considered; residual logarithmic divergences may come out that can render the prediction physically inconsistent. Looking at this possibility, we map out up to what order with respect to the mentioned parameters several physical quantities can be calculated before hitting a logarithmically divergent result. It turns out that the power spectra are limited up to second order, the tensor-to-scalar ratio up to third order, and the spectral indices and running converge to all orders. This indicates that the expansion scheme is incompatible with the working equations derived from UA for the power spectra but compatible with that of the spectral indices. For those quantities that involve logarithmically divergent terms in the higher-order parts, existing results in the literature for the convergent lower-order parts calculated in the equivalent fashion should be viewed with some caution; they do not rest on solid mathematical ground.

  2. Gauge Mediation of Exact Scale Breaking and Logarithmic Higgs Potentials

    CERN Document Server

    Abel, Steven

    2013-01-01

    We present a gauge mediation principle for theories where exact UV scale invariance is broken in a hidden sector. The relevant configurations are those in which the visible sector and a hidden sector emanate from a scale invariant pair of UV theories that communicate only via gauge interactions. We compute the relevant operators of the Higgs sector (which arise at two and three loops). The potential contains logarithmic mass-squared terms which lead to three different low energy configurations. In the first the Higgs sector is the same as that of the usual Standard Model, with the negative Higgs mass-squared arising naturally from radiative corrections. The second has dominant logarithmic mass-squared terms for the Higgs, allowing the electroweak symmetry breaking minimum to be at zero vacuum energy or metastable. In the third configuration the effective potential has negligible quartic term, and yet electroweak symmetry is broken radiatively by a "running-Higgs-mass-squared". The phenomenology of the two new...

  3. Toward logarithmic extensions of ^sl(2)_k conformal field models

    CERN Document Server

    Semikhatov, A M

    2007-01-01

    For positive integer p=k+2, we consider a logarithmic extension of the ^sl(2)_k conformal field theory of integrable representations by taking the kernel of two fermionic screening operators in a three-boson realization of ^sl(2)_k. The currents W^-(z) and W^+(z) of a W-algebra acting in the kernel are determined by a highest-weight state of dimension 4p-2 and charge 2p-1, and a (theta=1)-twisted highest-weight state of the same dimension 4p-2 and charge -2p+1. We construct 2p W-algebra representations, evaluate their characters, and show that together with the p-1 integrable representation characters they generate a modular group representation whose structure is described as a deformation of the (9p-3)-dimensional representation $R_{p+1} \\oplus C^2 \\otimes R_{p+1} \\oplus R_{p-1} \\oplus C^2 \\otimes R_{p-1} \\oplus C^3 \\otimes R_{p-1}$, where R_{p-1} is the SL(2,Z) representation on integrable representation characters and R_{p+1} is a (p+1)-dimensional SL(2,Z) representation known from the logarithmic (p,1) m...

  4. An Efficient Adaptive Binary Arithmetic Coder Based on Logarithmic Domain.

    Science.gov (United States)

    Yu, Quanhe; Yu, Wei; Yang, Ping; Zheng, Jianhua; Zheng, Xiaozhen; He, Yun

    2015-11-01

    This paper proposes an efficient adaptive binary arithmetic coder based on a logarithmic domain (LBAC) and a probability estimation based on the LBAC (P-LBAC). Both the LBAC and the P-LBAC achieve a high data-compression ratio with low complexity and a hardware-efficient structure. They introduce a mapping mechanism between the logarithmic domain and the original domain for both the coding process and the probability estimation. The proposed schemes have high accuracy and constitute an efficient BAC. The proposed LBAC and P-LBAC do not use either multiplication and division operations or lookup tables, and only addition and shifting operations are required. The proposed LBAC is designed to favor the coding of multiple symbols and has high throughput. The proposed P-LBAC achieves a good tradeoff between accuracy and speed in probability estimation through a single parameter. When the proposed algorithms are implemented on H.265/HEVC platforms, and they achieve a compression efficiency equivalent to that of CABAC.

  5. Digital filtering using the multidimensional logarithmic number system

    Science.gov (United States)

    Dimitrov, Vassil S.; Jullien, Graham A.; Walus, Konrad

    2002-12-01

    We introduce the use of multidimensional logarithmic number system (MDLNS) as a generalization of the classical 1-D logarithmic number system (LNS) and analyze its use in DSP applications. The major drawback of the LNS is the requirement to use very large ROM arrays in implementing the additions and subtraction and it limits its use to low-precision applications. MDLNS allows exponential reduction of the size of the ROMs used without affecting the speed of the computational process; moreover, the calculations over different bases and digits are completely independent, which makes this particular representation perfectly suitable for massively parallel DSP architectures. The use of more than one base has at least two extra advantages. Firstly, the proposed architecture allows us to obtain the final result straightforwardly in binary form, thus, there is no need of the exponential amplifier, used in the known LNS architectures. Secondly, the second base can be optimized in accordance to the specific digital filter characteristics. This leads to dramatic reduction of the exponents used and, consequently, to large area savings. We offer many examples showing the computational advantages of the proposed approach.

  6. Logarithmic amplifier for computed tomography tasks using fluoroscopic projections.

    Science.gov (United States)

    Buliev, I; Badea, C; Pallikarakis, N

    2002-01-01

    The image intensifier (II)-based imaging systems, as radiotherapy simulators or C-arm X-ray units, have also been used for image acquisition in computed tomography. When analogue-to-digital conversion is performed on the output signal of the television camera, the accuracy for low-amplitude video signals, corresponding to X-ray pathways crossing high attenuation structures, is limited. To deal with this lack of accuracy, we investigated the benefits of using a logarithmic amplifier (LOGAMP) inserted between the television camera output and the analogue-to-digital converter (ADC) in the image acquisition chain. Such a device was intended to provide better use of the available ADCs of a given resolution and actually to reduce the quantization noise. Simulated data were used in this study, and cases with and without logarithmic amplifier were compared. Based on the simulation results, we formulate requirements for several signal and acquisition system parameters where the use of such a circuit is recommended.

  7. MEASUREMENT OF GALACTIC LOGARITHMIC SPIRAL ARM PITCH ANGLE USING TWO-DIMENSIONAL FAST FOURIER TRANSFORM DECOMPOSITION

    Energy Technology Data Exchange (ETDEWEB)

    Davis, Benjamin L.; Berrier, Joel C.; Shields, Douglas W.; Kennefick, Julia; Kennefick, Daniel; Seigar, Marc S.; Lacy, Claud H. S. [Arkansas Center for Space and Planetary Sciences, 202 Field House, University of Arkansas, Fayetteville, AR 72701 (United States); Puerari, Ivanio [Instituto Nacional de Astrofisica, Optica y Electronica, Calle Luis Enrique Erro 1, 72840 Santa Maria Tonantzintla, Puebla (Mexico)

    2012-04-01

    A logarithmic spiral is a prominent feature appearing in a majority of observed galaxies. This feature has long been associated with the traditional Hubble classification scheme, but historical quotes of pitch angle of spiral galaxies have been almost exclusively qualitative. We have developed a methodology, utilizing two-dimensional fast Fourier transformations of images of spiral galaxies, in order to isolate and measure the pitch angles of their spiral arms. Our technique provides a quantitative way to measure this morphological feature. This will allow comparison of spiral galaxy pitch angle to other galactic parameters and test spiral arm genesis theories. In this work, we detail our image processing and analysis of spiral galaxy images and discuss the robustness of our analysis techniques.

  8. Measurement of Galactic Logarithmic Spiral Arm Pitch Angle Using Two-Dimensional Fast Fourier Transform Decomposition

    CERN Document Server

    Davis, Benjamin L; Shields, Douglas W; Kennefick, Julia; Kennefick, Daniel; Seigar, Marc S; Lacy, Claud H S; Puerari, Ivânio

    2012-01-01

    A logarithmic spiral is a prominent feature appearing in a majority of observed galaxies. This feature has long been associated with the traditional Hubble classification scheme, but historical quotes of pitch angle of spiral galaxies have been almost exclusively qualitative. We have developed a methodology, utilizing two-dimensional fast Fourier transformations of images of spiral galaxies, in order to isolate and measure the pitch angles of their spiral arms. Our technique provides a quantitative way to measure this morphological feature. This will allow comparison of spiral galaxy pitch angle to other galactic parameters and test spiral arm genesis theories. In this work, we detail our image processing and analysis of spiral galaxy images and discuss the robustness of our analysis techniques.

  9. Welfare Effects of Tax and Price Changes and the CES-UT Utility Function

    DEFF Research Database (Denmark)

    Munk, Knud Jørgen

    Dixit's 1975 paper "Welfare Effects of Tax and Price Changes" constitutes a seminal contribution to the theory of tax reform within a second-best general equilibrium framework. The present paper clarifies ambiguities with respect to normalisation which has led to misinterpretation of some of Dixit...... this insight cannot be articulated. This paper proposes as an alternative a parameterised utility function with explicit representation of the use of time, the CES-UT, which allows a flexible representation of the relationship between consumption and leisure. It also demonstrates how standard compensated price...... elasticities can be derived from the parameters of the CES-UT and how it may be used for applied tax reform analysis...

  10. Choice probability generating functions

    DEFF Research Database (Denmark)

    Fosgerau, Mogens; McFadden, Daniel; Bierlaire, Michel

    2010-01-01

    This paper establishes that every random utility discrete choice model (RUM) has a representation that can be characterized by a choice-probability generating function (CPGF) with specific properties, and that every function with these specific properties is consistent with a RUM. The choice...... probabilities from the RUM are obtained from the gradient of the CPGF. Mixtures of RUM are characterized by logarithmic mixtures of their associated CPGF. The paper relates CPGF to multivariate extreme value distributions, and reviews and extends methods for constructing generating functions for applications...

  11. Resummation of the Two Distinct Large Logarithms in the Broken $O(N)$-symmetric $\\phi^4$-model

    CERN Document Server

    Wiesendanger, C

    1996-01-01

    The loop-expansion of the effective potential in the $O(N)$-symmetric those systematically a new minimal two-scale subtraction scheme $\\tMS$ is introduced in an $O(N)$-invariant generalization of $\\MS$. As the $\\tMS$ beta functions depend on the renormalization scale-ratio a large logarithms resummation is performed on them. Two partial $\\tMS$ renormalization group equations are derived to turn the beta functions into $\\tMS$ running parameters. With the use of standard perturbative boundary conditions, which become applicable in $\\tMS$, the leading logarithmic $\\tMS$ effective potential is computed. The calculation indicates that there is no stable vacuum in the broken phase of the theory for $1

  12. Fractal scattering of Gaussian solitons in directional couplers with logarithmic nonlinearities

    Energy Technology Data Exchange (ETDEWEB)

    Teixeira, Rafael M.P.; Cardoso, Wesley B., E-mail: wesleybcardoso@gmail.com

    2016-08-12

    In this paper we study the interaction of Gaussian solitons in a dispersive and nonlinear media with log-law nonlinearity. The model is described by the coupled logarithmic nonlinear Schrödinger equations, which is a nonintegrable system that allows the observation of a very rich scenario in the collision patterns. By employing a variational approach and direct numerical simulations, we observe a fractal-scattering phenomenon from the exit velocities of each soliton as a function of the input velocities. Furthermore, we introduce a linearization model to identify the position of the reflection/transmission window that emerges within the chaotic region. This enables us the possibility of controlling the scattering of solitons as well as the lifetime of bound states. - Highlights: • We study the interaction of Gaussian solitons in a system with log-law nonlinearity. • The model is described by the coupled logarithmic nonlinear Schrödinger equations. • We observe a fractal-scattering phenomenon of the solitons.

  13. The Asymptotic Form of Non-Global Logarithms, Black Disc Saturation, and Gluonic Deserts

    CERN Document Server

    Neill, Duff

    2016-01-01

    We develop an asymptotic perturbation theory for the large logarithmic behavior of the non-linear integro-differential equation describing the soft correlations of QCD jet measurements, the Banfi-Marchesini-Smye (BMS) equation. This equation captures the late-time evolution of radiating color dipoles after a hard collision. This allows us to prove that at large values of the control variable (the non-global logarithm, a function of the infra-red energy scales associated with distinct hard jets in an event), the distribution has a gaussian tail. We compute the decay width analytically, giving a closed form expression, and find it to be jet geometry independent, up to the number of legs of the dipole in the active jet. Enabling the asymptotic expansion is the correct perturbative seed, where we perturb around an anzats encoding formally no real emissions, an intuition motivated by the buffer region found in jet dynamics. This must be supplemented with the correct application of the BFKL approximation to the BMS...

  14. Using polynomials to simplify fixed pattern noise and photometric correction of logarithmic CMOS image sensors.

    Science.gov (United States)

    Li, Jing; Mahmoodi, Alireza; Joseph, Dileepan

    2015-10-16

    An important class of complementary metal-oxide-semiconductor (CMOS) image sensors are those where pixel responses are monotonic nonlinear functions of light stimuli. This class includes various logarithmic architectures, which are easily capable of wide dynamic range imaging, at video rates, but which are vulnerable to image quality issues. To minimize fixed pattern noise (FPN) and maximize photometric accuracy, pixel responses must be calibrated and corrected due to mismatch and process variation during fabrication. Unlike literature approaches, which employ circuit-based models of varying complexity, this paper introduces a novel approach based on low-degree polynomials. Although each pixel may have a highly nonlinear response, an approximately-linear FPN calibration is possible by exploiting the monotonic nature of imaging. Moreover, FPN correction requires only arithmetic, and an optimal fixed-point implementation is readily derived, subject to a user-specified number of bits per pixel. Using a monotonic spline, involving cubic polynomials, photometric calibration is also possible without a circuit-based model, and fixed-point photometric correction requires only a look-up table. The approach is experimentally validated with a logarithmic CMOS image sensor and is compared to a leading approach from the literature. The novel approach proves effective and efficient.

  15. Low-x contribution to the Bjorken sum rule within double logarithmic $ln^2x$ approximation

    CERN Document Server

    Kotlorz, D; Kotlorz, Dorota; Kotlorz, Andrzej

    2004-01-01

    The small-$x$ contributions to the Bjorken sum rule within double logarithmic $ln^2x$ approximation for different input parametrisations $g_1^{NS}(x,Q_0^2)$ are presented. Analytical solutions of the evolution equations for full and truncated moments of the unintegrated structure function $f^{NS}(x,Q^2)$ are used. Theoretical predictions for $\\int_{0}^{0.003} g_1^{NS}(x,Q^2=10) dx$ are compared with the SMC small-$x$ data. Rough estimation of the slope $\\lambda$, controlling the small-$x$ behaviour of $g_1^{NS}\\sim x^{-\\lambda}$ from the SMC data is performed. Double logarithmic terms $\\sim (\\alpha_s ln^2x)^n$ become leading when $x\\to 0$ and imply the singular behaviour of $g_1^{NS}\\sim x^{-0.4}$. This seems to be confirmed by recent experimental SMC and HERMES data. Advantages of the unified $ln^2x$+LO DGLAP approach and the crucial role of the running coupling $\\alpha_s=\\alpha_s(Q^2/z)$ at low-$x$ are also discussed.

  16. Layered intercalated functional materials based on efficient utilization of magnesium resources in China

    Institute of Scientific and Technical Information of China (English)

    David; G; EVANS

    2010-01-01

    Mg-based layered intercalated functional materials of the layered double hydroxide type are a significant class of magnesium compounds.Based on long-term studies of these materials in the State Key Laboratory of Chemical Resource Engineering in Beijing University of Chemical Technology,two principles of "using the intended application of a material as a guide to its structure design and synthesis process" and "the design of controlled intercalation processes in the light of future production processing requirements" have been developed.To achieve these objectives,the composition of the host layers and guest interlayer anions was tailored at the microlevel,while the mesostructure and macrostructure were controlled to fabricate different kinds of Mg-based layered intercalated functional materials.These materials have diverse applications in key areas such as catalysis,the environment,and construction,and as polymer additives.Therefore,China’s magnesium resources may be utilized more efficiently for the benefit of society.

  17. The antioxidative function, preventive action on disease and utilization of proanthocyanidins.

    Science.gov (United States)

    Ariga, Toshiaki

    2004-01-01

    Proanthocyanidins, which belong to a class of polyphenols, are widely distributed throughout the plant kingdom. Most people ingest trace amounts of proanthocyanidins through foods such as red wine and cranberry juice. However, the functional properties of proanthocyanidins have been little understood. Since 1983, we have studied the antioxidative functions, preventive actions on diseases and utilization of proanthocyanidins. The antioxidative activities of proanthocyanidins were found to be much stronger than vitamin C or vitamin E in aqueous systems. The mechanisms for their antioxidative actions were shown to involve radical scavenging, quenching, and enzyme-inhibiting actions. The preventive actions of proanthcyanidins on diseases relating to reactive oxygen species was examined using animal tests. Proanthocyanidin-rich grape seed extract was showed to have preventive actions on diseases such as atherosclerosis, gastric ulcer, large bowel cancer, cataracts and diabetes. In human intervention trials, grape seed extract was shown to have preventive effects on the increase in lipid peroxides in human plasma after exercise and on muscle fatigue after training. The uses and manufacturing techniques of proanthocyanidin products were subsequently developed. The products were launched as antioxidants in food additives, ingredients in nutritional supplements, and cosmetics.

  18. Numerical investigation on Coanda flow over a logarithmic surface

    Energy Technology Data Exchange (ETDEWEB)

    Gan, CaiYin; Sahari, Khairul Salleh Mohamed; Tan, ChingSeong [Universiti Tenaga Nasional, Jalan (Malaysia)

    2015-07-15

    The Coanda effect has been introduced into lift generation designs. In this paper, a logarithmic spiral surface is introduced as a curvature shape to evaluate the development of jet flow along the Coanda curvature. Moreover, 2D computational fluid dynamics numerical simulation is adopted to measure velocity profile, jet width growth, maximum velocity decay, and surface static pressure along the curvature surface. A parametric study on the effect of varying exit jet heights on the Coanda effect is also presented. Results show that jet width grows proportionally along the curved surface, and the proportional decay of maximum velocity and surface pressure is lower than the atmospheric pressure. A wider exit jet height produces lower static pressure on the unmanned aerial vehicle surface and a slower maximum velocity decay. Overall parametric analysis of varying exit jet heights shows that the effective range of d/R is 0.1 to 0.14.

  19. Logarithm Versus Square Root:Comparing Quantum Fisher Information

    Institute of Scientific and Technical Information of China (English)

    LUO Shun-Long

    2007-01-01

    In classical statistics,the Fisher information is unique in the sense that it is essentially the only monotone Riemannian metric on the space of probability densities.In quantum theory,this uniqueness breaks down,and there are many natural quantum analogues of the Fisher information,among which two particular versions distinguish themselves by their intuitive and informational significance:The first has its origin in the skew information introduced by Wigner and Yanase in 1963 in the context of quantum measurement,and is defined via the square root of the density operator.The second arises from Helstrom's study of quantum detection in 1967,and is defined via the symmetric logarithmic derivative.The aim of this paper is to compare these two versions of quantum Fisher information,and to establish two informational inequalities relating them.

  20. A CMOS single-supply logarithmic amplifier for hearing aids

    Science.gov (United States)

    Jarng, Soon Suck; Chen, Lingfeng; Kwon, You Jung

    2005-12-01

    The Log Amplifier described in this paper is designed for hearing aids (HA) application. It works on a low single-supply voltage (1.3V). The input signal varies between 0.01mV and 100mV. To give enough compensation to the hearing impairment, the amplifier provides a very large gain. The output swing is limited because of the low supply voltage and the large gain. Therefore, the logarithmic amplifier introduced into the design of HA to compress input signal so that the output distortion can be avoid. Another factor we use it here is that the amplifier has enough sensitivity and gain to deal with the compressed input signal without getting extra distortion coursed by the pre-process on input signal. The short channel CMOS devices play an important role in reduction of the supply voltage. DONG-BU ANAM 0.18 μm process is selected.

  1. A viable logarithmic f(R) model for inflation

    Energy Technology Data Exchange (ETDEWEB)

    Amin, M.; Khalil, S. [Center for Fundamental Physics, Zewail City of Science and Technology,6 October City, Giza (Egypt); Salah, M. [Center for Fundamental Physics, Zewail City of Science and Technology,6 October City, Giza (Egypt); Department of Mathematics, Faculty of Science, Cairo University,Giza (Egypt)

    2016-08-18

    Inflation in the framework of f(R) modified gravity is revisited. We study the conditions that f(R) should satisfy in order to lead to a viable inflationary model in the original form and in the Einstein frame. Based on these criteria we propose a new logarithmic model as a potential candidate for f(R) theories aiming to describe inflation consistent with observations from Planck satellite (2015). The model predicts scalar spectral index 0.9615

  2. Simple regular black hole with logarithmic entropy correction

    Energy Technology Data Exchange (ETDEWEB)

    Morales-Duran, Nicolas; Vargas, Andres F.; Hoyos-Restrepo, Paulina; Bargueno, Pedro [Universidad de los Andes, Departamento de Fisica, Bogota, Distrito Capital (Colombia)

    2016-10-15

    A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein-non-linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the horizons and we have found that the usual Bekenstein-Hawking entropy gets corrected by a logarithmic term. Therefore, in this sense our model realises some quantum gravity predictions which add this kind of correction to the black hole entropy. In particular, we have established some similitudes between our model and a quadratic generalised uncertainty principle. This similitude has been confirmed by the existence of a remnant, which prevents complete evaporation, in agreement with the quadratic generalised uncertainty principle case. (orig.)

  3. Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application

    CERN Document Server

    Martin, Bernd

    2012-01-01

    The study of hypersurfaces in a torus leads to the beautiful zoo of amoebas and their contours, whose possible configurations are seen from combinatorial data. There is a deep connection to the logarithmic Gauss map and its critical points. The theory has a lot of applications in many directions. In this report we recall basic notions and results from the theory of amoebas, show some connection to algebraic singularity theory and discuss some consequences from the well known classification of singularities to this subject. Moreover, we have tried to compute some examples using the computer algebra system SINGULAR and discuss different possibilities and their effectivity to compute the critical points. Here we meet an essential obstacle: Relevant examples need real or even rational solutions, which are found only by chance. We have tried to unify different views to that subject.

  4. Tolerance Design of Logarithmic Roller Profiles in Cylindrical Roller Bearings

    Science.gov (United States)

    Fujiwara, Hiroki; Yamauchi, Kazuto

    A logarithmic profile is essentially optimal crowning geometry for rolling machine elements such as bearing rollers and raceways. Although some design methods of the profile have been proposed, they do not refer to the tolerance of the geometry required in engineering applications and in production. This paper shows how to define the tolerance range associated with the optimum roller profile, previously suggested by one of the authors. The overall tolerance is reasonably defined by giving the reduced amount of roller radius at three points so that the von Mises equivalent stress will not exceed a specified limit, where the point locations are not measured from the roller end but from the intersection of the crowning and the chamfer. For the purpose of design usefulness, the tolerance expression is offered in dimensionless form.

  5. Boundary algebras and Kac modules for logarithmic minimal models

    CERN Document Server

    Morin-Duchesne, Alexi; Ridout, David

    2015-01-01

    Virasoro Kac modules were initially introduced indirectly as representations whose characters arise in the continuum scaling limits of certain transfer matrices in logarithmic minimal models, described using Temperley-Lieb algebras. The lattice transfer operators include seams on the boundary that use Wenzl-Jones projectors. If the projectors are singular, the original prescription is to select a subspace of the Temperley-Lieb modules on which the action of the transfer operators is non-singular. However, this prescription does not, in general, yield representations of the Temperley-Lieb algebras and the Virasoro Kac modules have remained largely unidentified. Here, we introduce the appropriate algebraic framework for the lattice analysis as a quotient of the one-boundary Temperley-Lieb algebra. The corresponding standard modules are introduced and examined using invariant bilinear forms and their Gram determinants. The structures of the Virasoro Kac modules are inferred from these results and are found to be...

  6. Simple regular black hole with logarithmic entropy correction

    Science.gov (United States)

    Morales-Durán, Nicolás; Vargas, Andrés F.; Hoyos-Restrepo, Paulina; Bargueño, Pedro

    2016-10-01

    A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein-non-linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the horizons and we have found that the usual Bekenstein-Hawking entropy gets corrected by a logarithmic term. Therefore, in this sense our model realises some quantum gravity predictions which add this kind of correction to the black hole entropy. In particular, we have established some similitudes between our model and a quadratic generalised uncertainty principle. This similitude has been confirmed by the existence of a remnant, which prevents complete evaporation, in agreement with the quadratic generalised uncertainty principle case.

  7. Logarithm Laws for Equilibrium States in Negative Curvature

    Science.gov (United States)

    Paulin, Frédéric; Pollicott, Mark

    2016-08-01

    Let M be a pinched negatively curved Riemannian manifold, whose unit tangent bundle is endowed with a Gibbs measure m F associated with a potential F. We compute the Hausdorff dimension of the conditional measures of m F . We study the m F -almost sure asymptotic penetration behaviour of locally geodesic lines of M into small neighbourhoods of closed geodesics, and of other compact (locally) convex subsets of M. We prove Khintchine-type and logarithm law-type results for the spiraling of geodesic lines around these objects. As an arithmetic consequence, we give almost sure Diophantine approximation results of real numbers by quadratic irrationals with respect to general Hölder quasi-invariant measures.

  8. Threshold Signature Scheme Based on Discrete Logarithm and Quadratic Residue

    Institute of Scientific and Technical Information of China (English)

    FEI Ru-chun; WANG Li-na

    2004-01-01

    Digital signature scheme is a very important research field in computer security and modern cryptography.A(k,n) threshold digital signature scheme is proposed by integrating digital signature scheme with Shamir secret sharing scheme.It can realize group-oriented digital signature, and its security is based on the difficulty in computing discrete logarithm and quadratic residue on some special conditions.In this scheme, effective digital signature can not be generated by any k-1 or fewer legal users, or only by signature executive.In addition, this scheme can identify any legal user who presents incorrect partial digital signature to disrupt correct signature, or any illegal user who forges digital signature.A method of extending this scheme to an Abelian group such as elliptical curve group is also discussed.The extended scheme can provide rapider computing speed and stronger security in the case of using shorter key.

  9. Simple regular black hole with logarithmic entropy correction

    CERN Document Server

    Morales--Durán, Nicolás; Hoyos--Restrepo, Paulina; Bargueño, Pedro

    2016-01-01

    A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the horizons and we have found that the usual Bekenstein--Hawking entropy gets corrected by a logarithmic term. Therefore, in this sense our model realizes some quantum gravity predictions which add this kind of correction to the black hole entropy. In particular, we have established some similitudes between our model and a quadratic generalized uncertainty principle. This similitude has been confirmed by the existence of a remnant, which prevents complete evaporation, in agreement with the quadratic generalized uncertainty principle case.

  10. Linear Independence of -Logarithms over the Eisenstein Integers

    Directory of Open Access Journals (Sweden)

    Peter Bundschuh

    2010-01-01

    Full Text Available For fixed complex with ||>1, the -logarithm is the meromorphic continuation of the series ∑>0/(−1,||1,≠,2,3,…. In 2004, Tachiya showed that this is true in the Subcase =ℚ, ∈ℤ, =−1, and the present authors extended this result to arbitrary integer from an imaginary quadratic number field , and provided a quantitative version. In this paper, the earlier method, in particular its arithmetical part, is further developed to answer the above question in the affirmative if is the Eisenstein number field √ℚ(−3, an integer from , and a primitive third root of unity. Under these conditions, the linear independence holds also for 1,(,(−1, and both results are quantitative.

  11. Review: Dietary fiber utilization and its effects on physiological functions and gut health of swine.

    Science.gov (United States)

    Jha, R; Berrocoso, J D

    2015-09-01

    Although dietary fiber (DF) negatively affects energy and nutrient digestibility, there is growing interest for the inclusion of its fermentable fraction in pig diets due to their functional properties and potential health benefits beyond supplying energy to the animals. This paper reviews some of the relevant information available on the role of different types of DF on digestion of nutrients in different sections of the gut, the fermentation process and its influence on gut environment, especially production and utilization of metabolites, microbial community and gut health of swine. Focus has been given on DF from feed ingredients (grains and coproducts) commonly used in pig diets. Some information on the role DF in purified form in comparison with DF in whole matrix of feed ingredients is also presented. First, composition and fractions of DF in different feed ingredients are briefly reviewed. Then, roles of different fractions of DF on digestion characteristics and physiological functions in the gastrointestinal tract (GIT) are presented. Specific roles of different fractions of DF on fermentation characteristics and their effects on production and utilization of metabolites in the GIT have been discussed. In addition, roles of DF fermentation on metabolic activity and microbial community in the intestine and their effects on intestinal health are reviewed and discussed. Evidence presented in this review indicates that there is wide variation in the composition and content of DF among feed ingredients, thereby their physico-chemical properties in the GIT of swine. These variations, in turn, affect the digestion and fermentation characteristics in the GIT of swine. Digestibility of DF from different feed ingredients is more variable and lower than that of other nutrients like starch, sugars, fat and CP. Soluble fractions of DF are fermented faster, produce higher amounts of volatile fatty acid than insoluble fractions, and favors growth of beneficial microbiota

  12. Application of a disease-specific mapping function to estimate utility gains with effective treatment of schizophrenia

    Directory of Open Access Journals (Sweden)

    Rupnow Marcia FT

    2005-09-01

    Full Text Available Abstract Background Most tools for estimating utilities use clinical trial data from general health status models, such as the 36-Item Short-Form Health Survey (SF-36. A disease-specific model may be more appropriate. The objective of this study was to apply a disease-specific utility mapping function for schizophrenia to data from a large, 1-year, open-label study of long-acting risperidone and to compare its performance with an SF-36-based utility mapping function. Methods Patients with schizophrenia or schizoaffective disorder by DSM-IV criteria received 25, 50, or 75 mg long-acting risperidone every 2 weeks for 12 months. The Positive and Negative Syndrome Scale (PANSS and SF-36 were used to assess efficacy and health-related quality of life. Movement disorder severity was measured using the Extrapyramidal Symptom Rating Scale (ESRS; data concerning other common adverse effects (orthostatic hypotension, weight gain were collected. Transforms were applied to estimate utilities. Results A total of 474 patients completed the study. Long-acting risperidone treatment was associated with a utility gain of 0.051 using the disease-specific function. The estimated gain using an SF-36-based mapping function was smaller: 0.0285. Estimates of gains were only weakly correlated (r = 0.2. Because of differences in scaling and variance, the requisite sample size for a randomized trial to confirm observed effects is much smaller for the disease-specific mapping function (156 versus 672 total subjects. Conclusion Application of a disease-specific mapping function was feasible. Differences in scaling and precision suggest the clinically based mapping function has greater power than the SF-36-based measure to detect differences in utility.

  13. The Utilization of Amide Groups To Expand and Functionalize Metal-Organic Frameworks Simultaneously.

    Science.gov (United States)

    Lu, Zhiyong; Bai, Junfeng; Hang, Cheng; Meng, Fei; Liu, Wenlong; Pan, Yi; You, Xiaozeng

    2016-04-25

    A new stepwise ligand-elongation strategy by amide spacers is utilized to prepare isoreticularly high-porous metal-organic frameworks (MOFs), namely, quasi-mesoporous [Cu2 (PDBAD)(H2 O)]n (H4 PDBAD=5,5'-((4,4'-((pyridine-3,5-dicarbonyl)bis(azanediyl))bis(benzoyl))bis(azanediyl))diisophthalic acid; NJU-Bai22: NJU-Bai for Nanjing University Bai's group), and mesoporous [Cu2 (PABAD)(H2 O)]n (H4 PABAD=5,5'-((4,4'-((4,4'-((pyridine-3,5-dicarbonyl)bis(azanediyl))bis(benzoyl))bis (azanediyl))bis(benzoyl))bis(azanediyl))diisophthalic acid; NJU-Bai23). Compared with the prototypical MOF of [Cu2 (PDAD)(H2 O)]n (H4 PDAD=5,5'-(pyridine-3,5-dicarbonyl)bis(azanediyl)diisophthalic acid; NJU-Bai21, also termed as PCN-124), both MOFs exhibit almost the same CO2 adsorption enthalpy and CO2 selectivity values, and better capacity for CO2 storage under high pressure; these results make them promising candidate materials for CO2 capture and sequestration. Interestingly, this new method, in comparison with traditional strategies of using phenyl or triple-bond spacers, is easier and cheaper, resulting in a better ability to retain high CO2 affinity and selectivity in MOFs with large pores and high CO2 storage capacity. Additionally, it may lead to the high thermal stability of the MOFs and also their tolerance to water, which is related to the balance between the density of functional groups and pore sizes. Therefore, this strategy could provide new opportunities to explore more functionalized mesoporous MOFs with high performance. © 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

  14. Quality traits of Indian peanut cultivars and their utility as nutritional and functional food.

    Science.gov (United States)

    Bishi, S K; Lokesh, Kumar; Mahatma, M K; Khatediya, N; Chauhan, S M; Misra, J B

    2015-01-15

    Peanut (Arachis hypogaea L.) is considered as a highly nutritious foodstuff. Of late, the importance of peanut as a functional food has been growing. Kernels of forty-one Indian peanut cultivars were analyzed for their oil, fatty acid profiles, sucrose, raffinose family oligosaccharides (RFOs); phenolics, and free amino acids contents along with antioxidant capacity. The range and the mean value (given in parenthesis) for each of the traits analysed were, oil: 44.1-53.8% (50.1%), O/L ratio: 0.9-2.8 (1.4), sucrose: 2.61-6.5% (4.63%), RFOs: 0.12-0.76% (0.47%), phenolics: 0.14-0.39% (0.23%), free amino acids: 0.052-0.19% (0.12%) and antioxidant capacity: 1.05-6.97 (3.40) μmol TEg(-1). The significant correlation between phenol content and antioxidant capacity suggests phenol content as an easy marker for rapid screening of genotypes for their antioxidant capacity. A few cultivars with desirable traits and their prospective utility were identified which would be useful for future breeding programme to develop nutritional superior peanuts. Copyright © 2014 Elsevier Ltd. All rights reserved.

  15. High Performance Nonvolatile Transistor Memories Utilizing Functional Polyimide-Based Supramolecular Electrets.

    Science.gov (United States)

    Tung, Wei-Yao; Li, Meng-Hsien; Wu, Hung-Chin; Liu, Hsin-Yu; Hsieh, Yun-Ting; Chen, Wen-Chang

    2016-05-20

    We report pentacene-based organic field-effect transistor memory devices utilizing supramolecular electrets, consisting of a polyimide, PI(6FOH-ODPA), containing hydroxyl groups for hydrogen bonding with amine functionalized aromatic rings (AM) of 1-aniline (AM1), 2-naphthylamine (AM2), 2-aminoanthracene (AM3), and 1-aminopyrene (AM4). The effect of the phenyl ring size and composition of AM1-AM4 on the hole-trapping capability of the fabricated devices was investigated systematically. Under an operating voltage under ±40 V, the prepared devices using the electrets of 100 % AM1-AM4/PI ratios exhibited a memory window of 0, 8.59, 25.97, and 29.95 V, respectively, suggesting that the hole-trapping capability increased with enhancing phenyl ring size. The memory window was enhanced as the amount of AM in PI increased. Furthermore, the devices showed a long charge-retention time of 10(4)  s with an ON/OFF current ratio of around 10(3) -10(4) and multiple switching stability over 100 cycles. This study demonstrated that the electrical characteristics of the OFET memory devices could be manipulated through the chemical compositions of the supramolecular electrets.

  16. Solving the Multi-discrete Logarithm Problems over a Group of Elliptic Curves with Prime Order

    Institute of Scientific and Technical Information of China (English)

    Jun Quan LI; Mu Lan LIU; Liang Liang XIAO

    2005-01-01

    In this paper, we discuss the expected number of steps in solving multi-discrete logarithm problems over a group of elliptic curves with prime order by using Pollard's rho method and parallel collision search algorithm. We prove that when using these algorithms to compute discrete logarithms,the knowledge gained through computing many logarithms does not make it easier for finding other logarithms. Hence in an elliptic cryptosystem, it is safe for many users to share the same curve, with different private keys.

  17. Fetal glucose uptake and utilization as functions of maternal glucose concentration.

    Science.gov (United States)

    Hay, W W; Sparks, J W; Wilkening, R B; Battaglia, F C; Meschia, G

    1984-03-01

    Seventeen studies were performed in 12 pregnant sheep to examine the relationship among simultaneously measured glucose uptake via the umbilical circulation, fetal glucose utilization (mg X min-1 X kg-1), and maternal arterial glucose (Gm, mg/dl). Fetal glucose utilization was measured by means of tracer glucose infused into the fetus or both mother and fetus. By fasting the ewe, Gm was varied in the 62-22 range. A decrease in Gm was accompanied by a significant (P less than 0.001) decrease in umbilical uptake (uptake = 0.09 Gm - 0.96, r = 0.82) and in fetal utilization, measured either by [U-14C]glucose (utilization = 0.062 Gm + 0.91, r = 0.90) or [6-3H]glucose (utilization = 0.065 Gm + 0.51, r = 0.91). At uptake greater than 3 mg X min-1 X kg-1, utilization and uptake were not significantly different. At lower uptakes, utilization did not decline as much as uptake. The results demonstrate that maternal fasting decreases both the umbilical uptake and the fetal utilization of glucose and suggest that fetal glucogenesis increases when the availability of exogenous glucose is markedly reduced.

  18. Non-abelian factorisation for next-to-leading-power threshold logarithms

    Science.gov (United States)

    Bonocore, D.; Laenen, E.; Magnea, L.; Vernazza, L.; White, C. D.

    2016-12-01

    Soft and collinear radiation is responsible for large corrections to many hadronic cross sections, near thresholds for the production of heavy final states. There is much interest in extending our understanding of this radiation to next-to-leading power (NLP) in the threshold expansion. In this paper, we generalise a previously proposed all-order NLP factorisation formula to include non-abelian corrections. We define a nonabelian radiative jet function, organising collinear enhancements at NLP, and compute it for quark jets at one loop. We discuss in detail the issue of double counting between soft and collinear regions. Finally, we verify our prescription by reproducing all NLP logarithms in Drell-Yan production up to NNLO, including those associated with double real emission. Our results constitute an important step in the development of a fully general resummation formalism for NLP threshold effects.

  19. A NOTE ON LOGARITHMIC SMOOTHING IN SEMI-INFINITE OPTIMIZATION UNDER REDUCTION APPROACH*

    Directory of Open Access Journals (Sweden)

    Francisco Guerra-Vazquez

    2013-02-01

    Full Text Available This note deals with a semi-infinite optimization problem which is defined by infinitely many inequality constraints. By applying a logarithmic barrier function, a family of interior point approximations of the feasible set is obtained where locally the original feasible set and its approximations are homeomorphic. Under generic assumptions on the structure of the original feasible set, strongly stable stationary points of the original problem are considered and it is shown that there is a one-to-one correspondence between the stationary points (and their stationary indices of the original problem and those of its approximations. Corresponding convergence results, global aspects and a relationship to a standard interior-point approach are discussed.

  20. Density of states of two-dimensional systems with long-range logarithmic interactions

    Energy Technology Data Exchange (ETDEWEB)

    Somoza, Andrés M.; Ortuño, Miguel; Baturina, Tatyana I.; Vinokur, Valerii M.

    2015-08-03

    We investigate a single-particle density of states (DOS) in strongly disordered two- dimensional high dielectric permittivity systems with logarithmic Coulomb interaction between particles. We derive self-consistent DOS at zero temperature and show that it is appreciably suppressed as compared to the DOS expected from the Efros-Shklovskii approach.We carry out zero- and finite-temperature Monte Carlo numerical studies of the DOS and find the perfect agreement between the numerical and analytical results at zero temperature, observing, in particular, a hardening of the Coulomb gap with the increasing electrostatic screening length. At finite temperatures, we reveal a striking scaling of the DOS as a function of energy normalized to the temperature of the system.

  1. An improved logarithmic amplifier circuit for PDS microdensitometers. [Photometric Data Systems for astronomical observation

    Science.gov (United States)

    Anderson, C. M.; Slovak, M. H.; Michalski, D. E.

    1983-01-01

    A high-speed logarithmic-amplifier circuit for a PDS microdensitometer is discussed. The circuit is designed around a 757P log-amp module which replaces the FMI 531 'Negative Log/Anti-log' device of the original. The new amplifier is capable of producing undistorted profiles of rapidly changing, dense images over the available range of scanning speeds. The circuit board has been designed to directly replace the manufacturer supplied unit; neither electrical nor mechanical modifications of the basic PDS are required. The performance of the circuit is illustrated through its effects on the overall Modulation Transfer Function of the instrument and by scans of a well-exposed stellar image. Circuit diagrams and parts lists are presented.

  2. Logarithmic corrections to scaling in critical percolation and random resistor networks.

    Science.gov (United States)

    Stenull, Olaf; Janssen, Hans-Karl

    2003-09-01

    We study the critical behavior of various geometrical and transport properties of percolation in six dimensions. By employing field theory and renormalization group methods we analyze fluctuation induced logarithmic corrections to scaling up to and including the next-to-leading order correction. Our study comprehends the percolation correlation function, i.e., the probability that two given points are connected, and some of the fractal masses describing percolation clusters. To be specific, we calculate the mass of the backbone, the red bonds, and the shortest path. Moreover, we study key transport properties of percolation as represented by the random resistor network. We investigate the average two-point resistance as well as the entire family of multifractal moments of the current distribution.

  3. Non-abelian factorisation for next-to-leading-power threshold logarithms

    CERN Document Server

    Bonocore, D; Magnea, L; Vernazza, L; White, C D

    2016-01-01

    Soft and collinear radiation is responsible for large corrections to many hadronic cross sections, near thresholds for the production of heavy final states. There is much interest in extending our understanding of this radiation to next-to-leading power (NLP) in the threshold expansion. In this paper, we generalise a previously proposed all-order NLP factorisation formula to include non-abelian corrections. We define a non-abelian radiative jet function, organising collinear enhancements at NLP, and compute it for quark jets at one loop. We discuss in detail the issue of double counting between soft and collinear regions. Finally, we verify our prescription by reproducing all NLP logarithms in Drell-Yan production up to NNLO, including those associated with double real emission. Our results constitute an important step in the development of a fully general resummation formalism for NLP threshold effects.

  4. An ab initio approach to free-energy reconstruction using logarithmic mean force dynamics.

    Science.gov (United States)

    Nakamura, Makoto; Obata, Masao; Morishita, Tetsuya; Oda, Tatsuki

    2014-05-14

    We present an ab initio approach for evaluating a free energy profile along a reaction coordinate by combining logarithmic mean force dynamics (LogMFD) and first-principles molecular dynamics. The mean force, which is the derivative of the free energy with respect to the reaction coordinate, is estimated using density functional theory (DFT) in the present approach, which is expected to provide an accurate free energy profile along the reaction coordinate. We apply this new method, first-principles LogMFD (FP-LogMFD), to a glycine dipeptide molecule and reconstruct one- and two-dimensional free energy profiles in the framework of DFT. The resultant free energy profile is compared with that obtained by the thermodynamic integration method and by the previous LogMFD calculation using an empirical force-field, showing that FP-LogMFD is a promising method to calculate free energy without empirical force-fields.

  5. A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory

    CERN Document Server

    Chiu, Jui-yu; Neill, Duff; Rothstein, Ira Z

    2012-01-01

    Many observables in QCD rely upon the resummation of perturbation theory to retain predictive power. Resummation follows after one factorizes the cross section into the rele- vant modes. The class of observables which are sensitive to soft recoil effects are particularly challenging to factorize and resum since they involve rapidity logarithms. In this paper we will present a formalism which allows one to factorize and resum the perturbative series for such observables in a systematic fashion through the notion of a "rapidity renormalization group". That is, a Collin-Soper like equation is realized as a renormalization group equation, but has a more universal applicability to observables beyond the traditional transverse momentum dependent parton distribution functions (TMDPDFs) and the Sudakov form factor. This formalism has the feature that it allows one to track the (non-standard) scheme dependence which is inherent in any scenario where one performs a resummation of rapidity divergences. We present a peda...

  6. A logarithmic detection system for heavy ion experiments

    Science.gov (United States)

    Wang, Jinchuan; Zhan, Wenlong; Guo, Zhongyan; Xi, Hongfei; Zhou, Jianqun; Lei, Huaihong; Zhao, Youxiong; Luo, Yongfeng

    1996-02-01

    The performance of a logarithmic detection system is investigated for the 25 MeV/u 40Ar induced reaction. The detection system consists of four parts: an axial ionization chamber (IC), a position sensitive silicon detector (PSSD), a large area PIN silicon photodiode (SPD) and a 16 element CsI(Tl) scintillator array. The energy resolutions for IC and PSSD tested with241 Am (5.486 MeV) sources were 3 and 2.6% (FWHM), respectively. Fragments with Z values from Z = 2 to Z = 21 were identified in the reaction 40Ar + 115In. A Z resolving power of Z/(ΔZ) ~ 44.5 (FWHM) for Z = 18 has been achieved, and the energy dynamic range for α-particles was about 2-130 MeV. A position resolution of 0.86+/-0.03 mm (FWHM) for PSSD was obtained for the reaction 40Ar + 27Al with 1 μs amplifier shaping time.

  7. Logarithmic periodic dipole antennas for the Auger engineering radio array

    Science.gov (United States)

    Seeger, Oliver; Pierre Auger Collaboration

    2012-01-01

    The Pierre Auger Observatory constitutes the largest detector for measurements of ultra-high-energy cosmic rays (UHECRs) through extended air showers. Radio signals originating from the shower development have been detected with suitable antennas in the 50 MHz regime. The Auger engineering radio array (AERA) is being established to exploit the radio technique at these high energies.The favoured antenna for the first stage of AERA is a logarithmic periodic dipole antenna (LPDA) especially designed to suit the demands of cosmic-ray detection at the Auger site. This antenna is characterized by ultra-broadband sensitivity in the frequency range from 30 to 80 MHz and allows polarization-sensitive measurements of radio signals from all incoming directions. Our characterization of this LPDA includes careful evaluation of the frequency range obtained by combining wire-based dipoles, stability and weather testing, quality assurance in the mass production process, and a benchmark measurement of the sensitivity obtained with the time dependence of the galactic radio background.For the final setup, a fully calibrated radio-detection system including antennas, filters and low-noise amplifiers is required. We present our approach for this calibration in simulations and measurements.

  8. Holographic Conductivity for Logarithmic Charged Dilaton-Lifshitz Solutions

    CERN Document Server

    Dehyadegari, A; Zangeneh, M Kord

    2016-01-01

    We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a $(2+1)$-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz-Maxwell-dilaton black branes which has conductivity for all $z$, here in the presence of nonlinear gauge field, the holographic conductivity do exist provided $z\\leq3$ and vanishes for $z>3$. It is shown that independent of the nonlinear parameter $\\beta$, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real ...

  9. Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions

    Science.gov (United States)

    Dehyadegari, A.; Sheykhi, A.; Kord Zangeneh, M.

    2016-07-01

    We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a (2 + 1)-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz-Maxwell-dilaton black branes which have conductivity for all z, here in the presence of nonlinear gauge field, the holographic conductivity does exist provided z ≤ 3 and vanishes for z > 3. It is shown that independent of the nonlinear parameter β, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real part of conductivity for large frequencies has a positive slope with respect to large frequencies for a system with Lifshitz symmetry whereas it tends to a constant for a system with AdS symmetry. This behavior may be interpreted as existence of an additional charge carrier rather than the AdS case, and is due to the presence of the scalar dilaton field in model. Similar behavior for optical conductivity of single-layer graphene induced by mild oxygen plasma exposure has been reported.

  10. Holographic conductivity for logarithmic charged dilaton-Lifshitz solutions

    Directory of Open Access Journals (Sweden)

    A. Dehyadegari

    2016-07-01

    Full Text Available We disclose the effects of the logarithmic nonlinear electrodynamics on the holographic conductivity of Lifshitz dilaton black holes/branes. We analyze thermodynamics of these solutions as a necessary requirement for applying gauge/gravity duality, by calculating conserved and thermodynamic quantities such as the temperature, entropy, electric potential and mass of the black holes/branes. We calculate the holographic conductivity for a (2+1-dimensional brane boundary and study its behavior in terms of the frequency per temperature. Interestingly enough, we find out that, in contrast to the Lifshitz–Maxwell-dilaton black branes which have conductivity for all z, here in the presence of nonlinear gauge field, the holographic conductivity does exist provided z≤3 and vanishes for z>3. It is shown that independent of the nonlinear parameter β, the real part of the conductivity is the same for a specific value of frequency per temperature in both AdS and Lifshitz cases. Besides, the behavior of real part of conductivity for large frequencies has a positive slope with respect to large frequencies for a system with Lifshitz symmetry whereas it tends to a constant for a system with AdS symmetry. This behavior may be interpreted as existence of an additional charge carrier rather than the AdS case, and is due to the presence of the scalar dilaton field in model. Similar behavior for optical conductivity of single-layer graphene induced by mild oxygen plasma exposure has been reported.

  11. Resummation of electroweak Sudakov logarithms for real radiation

    CERN Document Server

    Bauer, Christian W

    2016-01-01

    We show how to resum the electroweak Sudakov logarithms for real radiation of Z or W bosons, using Drell-Yan production p p -> l_1 l_2 V as an example. Using the known resummation of virtual corrections together with knowledge of the leading-log structure of real radiation in a parton shower, we derive analytic expressions for the resummed real radiation after they have been integrated over all of phase space. Performing a numerical analysis for both the 13 TeV LHC and a 100 TeV pp collider, we show that resummation of the real corrections is as important as resummation of the virtual corrections, and that this resummation has a sizable effect for partonic center of mass energies exceeding s = O(few TeV). For partonic center of mass energies s >~ 10 TeV, which can be reached at a 100 TeV collider, resummation becomes an O(1) effect and needs to be included even for rough estimates of the cross-sections.

  12. Fundamental ratios and logarithmic periodicity in human limb bones.

    Science.gov (United States)

    Pietak, Alexis; Ma, Siyan; Beck, Caroline W; Stringer, Mark D

    2013-05-01

    Fundamental mathematical relationships are widespread in biology yet there is little information on this topic with regard to human limb bone lengths and none related to human limb bone volumes. Forty-six sets of ipsilateral upper and lower limb long bones and third digit short bones were imaged by computed tomography. Maximum bone lengths were measured manually and individual bone volumes calculated from computed tomography images using a stereologic method. Length ratios of femur : tibia and humerus : ulna were remarkably similar (1.21 and 1.22, respectively) and varied little (bone volume ratios varied much more than upper limb ratios. The relationship between bone length and volume was found to be well described by power laws, with R(2) values ranging from 0.983 to 0.995. The most striking finding was a logarithmic periodicity in bone length moving from distal to proximal up the limb (upper limb λ = 0.72, lower limb λ = 0.93). These novel data suggest that human limb bone lengths and volumes follow fundamental and highly conserved mathematical relationships, which may contribute to our understanding of normal and disordered growth, stature estimation, and biomechanics.

  13. Indecomposability parameters in chiral Logarithmic Conformal Field Theory

    CERN Document Server

    Vasseur, Romain; Saleur, Hubert

    2011-01-01

    Work of the last few years has shown that the key algebraic features of Logarithmic Conformal Field Theories (LCFTs) are already present in some finite lattice systems (such as the XXZ spin-1/2 chain) before the continuum limit is taken. This has provided a very convenient way to analyze the structure of indecomposable Virasoro modules and to obtain fusion rules for a variety of models such as (boundary) percolation etc. LCFTs allow for additional quantum numbers describing the fine structure of the indecomposable modules, and generalizing the `b-number' introduced initially by Gurarie for the c=0 case. The determination of these indecomposability parameters has given rise to a lot of algebraic work, but their physical meaning has remained somewhat elusive. In a recent paper, a way to measure b for boundary percolation and polymers was proposed. We generalize this work here by devising a general strategy to compute matrix elements of Virasoro generators from the numerical analysis of lattice models and their ...

  14. Logarithmic Wind Profile: A Stability Wind Shear Term

    CERN Document Server

    Sakagami, Yoshiaki; Haas, Reinaldo; Passos, Julio C; Taves, Frederico F

    2014-01-01

    A stability wind shear term of logarithmic wind profile based on the terms of turbulent kinetic energy equation is proposed. The fraction influenced by thermal stratification is considered in the shear production term. This thermally affected shear is compared with buoyant term resulting in a stability wind shear term. It is also considered Reynolds stress as a sum of two components associated with wind shear from mechanical and thermal stratification process. The stability wind shear is responsible to Reynolds stress of thermal stratification term, and also to Reynolds stress of mechanical term at no neutral condition. The wind profile and its derivative are validated with data from Pedra do Sal experiment in a flat terrain and 300m from shoreline located in northeast coast of Brazil. It is close to the Equator line, so the meteorological condition are strongly influenced by trade winds and sea breeze. The site has one 100m tower with five instrumented levels, one 3D sonic anemometer, and a medium-range wind...

  15. The utility of pulmonary function testing in predicting outcomes following liver transplantation.

    Science.gov (United States)

    Kia, Leila; Cuttica, Michael J; Yang, Amy; Donnan, Erica N; Whitsett, Maureen; Singhvi, Ajay; Lemmer, Alexander; Levitsky, Josh

    2016-06-01

    Although pulmonary function tests (PFTs) are routinely performed in patients during the evaluation period before liver transplantation (LT), their utility in predicting post-LT mortality and morbidity outcomes is not known. The aim of this study was to determine the impact of obstructive and/or restrictive lung disease on post-LT outcomes. We conducted a retrospective analysis of patients who had pre-LT PFTs and underwent a subsequent LT (2007-2013). We used statistical analyses to determine independent associations between PFT parameters and outcomes (graft/patient survival, time on ventilator, and hospital/intensive care unit [ICU] length of stay [LOS]). A total of 415 LT recipients with available PFT data were included: 65% of patients had normal PFTs; 8% had obstructive lung disease; and 27% had restrictive lung disease. There was no difference in patient and graft survival between patients with normal, obstructive, and restrictive lung disease. However, restrictive lung disease was associated with longer post-LT time on ventilator and both ICU and hospital LOS (P < 0.05). More specific PFT parameters (diffusing capacity of the lungs for carbon monoxide, total lung capacity, and residual volume) were all significant predictors of ventilator time and both ICU and hospital LOS (P < 0.05). Although pre-LT PFT parameters may not predict post-LT mortality, restrictive abnormalities correlate with prolonged post-LT ventilation and LOS. Efforts to identify and minimize the impact of restrictive abnormalities on PFTs might improve such outcomes. Liver Transplantation 22 805-811 2016 AASLD.

  16. The Utility of the MMPI-2 Malingering Discriminant Function Index in the Detection of Malingering: A Study of Criminal Defendants

    Science.gov (United States)

    Toomey, Joseph A.; Kucharski, L. Thomas; Duncan, Scott

    2009-01-01

    This study examined the utility of the Minnesota Multiphasic Personality Inventory-2's (MMPI-2) malingering discriminant function index (M-DFI), recently developed by Bacchiochi and Bagby, in the detection of malingering in a forensic sample. Criminal defendants were divided into "malingering" and "not malingering" groups using…

  17. Utility of the International Classification of Functioning, Disability and Health (ICF) for Educational Psychologists' Work

    Science.gov (United States)

    Aljunied, Mariam; Frederickson, Norah

    2014-01-01

    Despite embracing a bio-psycho-social perspective, the World Health Organization's International Classification of Functioning, Disability and Health (ICF) assessment framework has had limited application to date with children who have special educational needs (SEN). This study examines its utility for educational psychologists' work…

  18. A factorization approach to next-to-leading-power threshold logarithms

    NARCIS (Netherlands)

    Bonocore, D.; Laenen, E.; Magnea, L.; Melville, S.; Vernazza, L.; White, C. D.

    2015-01-01

    Threshold logarithms become dominant in partonic cross sections when the selected final state forces gluon radiation to be soft or collinear. Such radiation factorizes at the level of scattering amplitudes, and this leads to the resummation of threshold logarithms which appear at leading power in th

  19. THE LAW OF THE ITERATED LOGARITHM OF THE KAPLAN-MEIER INTEGRAL AND ITS APPLICATION

    Institute of Scientific and Technical Information of China (English)

    HE SHUYUAN; WANG YANHUA

    2004-01-01

    For right censored data, the law of the iterated logarithm of the Kaplan-Meier integral is established. As an application, the authors prove the law of the iterated logarithm for weighted least square estimates of randomly censored linear regression model.

  20. Quantum Effects on the Coulomb Logarithm for Energetic IonsDuring the Initial Thermalization Phase

    Institute of Scientific and Technical Information of China (English)

    邓柏权; 严建成; 邓梅根; 彭利林

    2002-01-01

    We have discussed the quantum mechanical effects for the energetic charged particles produced in D - He3 fusionreactions. Our results show that it is better to use the proper Coulomb logarithm at the high-energy end indescribing the thermalization process, because the quantum mechanical effects on the Coulomb logarithm are notnegligible, based on an assumption of binary collision.

  1. FREIDLIN-WENTZELL TYPE ESTIMATES AND THE LAW OF THE ITERATED LOGARITHM FOR A CLASS OF STOCHASTIC PROCESSES RELATED TO SYMMETRIC STATISTICS

    OpenAIRE

    Mori, Toshio; Oodaira, Hiroshi

    1988-01-01

    Analogues of Freidlin and Wentzell's estimates for diffusion processes and the functional law of the iterated logarithm are obtained for a class of stochastic processes represented by multiple Wiener integrals with respect to two parameter Wiener processes, which arise as the limit processes of sequences of normalized symmetric statistics.

  2. Wide-range logarithmic radiometer for measuring high temperatures

    Science.gov (United States)

    Liston, E. M.

    1971-01-01

    Filter radiometer utilizing photomultiplier circuit, in which a direct-coupled amplifier varies dynode voltage to maintain constant anode current, measures rapid variations of temperature of white-hot charred body at 2000 K to 3000 K.

  3. Econometric estimation of investment utilization, adjustment costs, and technical efficiency in Danish pig farms using hyperbolic distance functions

    DEFF Research Database (Denmark)

    Henningsen, Arne; Fabricius, Ole; Olsen, Jakob Vesterlund

    2014-01-01

    and by reduced outputs, we estimate hyperbolic distance functions that account for reduced technical efficiency both in terms of increased inputs and reduced outputs. We estimate these hyperbolic distance functions as “efficiency effect frontiers” with the Translog functional form and a dynamic specification......Based on a theoretical microeconomic model, we econometrically estimate investment utilization, adjustment costs, and technical efficiency in Danish pig farms based on a large unbalanced panel dataset. As our theoretical model indicates that adjustment costs are caused both by increased inputs...

  4. Large-strain response of isotropic-hardening elastoplasticity with logarithmic rate: Swift effect in torsion

    Energy Technology Data Exchange (ETDEWEB)

    Bruhns, O.T.; Xiao, H.; Meyers, A. [Bochum Univ. (Germany). Inst. fuer Mechanik

    2001-07-01

    Recently, a new Eulerian rate-type isotropic-hardening elastoplasticity model has been established by utilizing the newly discovered logarithmic rate. It has been proved that this model is unique among all isotropic hardening elastoplastic models with all possible objective corotational stress rates and other known objective stress rates by virtue of the self-consistency criterion: the hypoelastic formulation intended for elastic behaviour must be exactly integrable to deliver a hyperelastic relation. The simple shear response of this model has been studied and shown to be reasonable for both the shear and normal stress components. The objective of this work is to further study the large deformation response of this model, in particular, the second-order effects, including the well-known Swift effect, in torsion of thin-walled cylindrical tubes with free ends. An analytical perturbation solution is derived, and numerical results are presented by means of the Runge-Kutta method. It is shown that the prediction of this model for the shear stress is in good accord with experimental data, but the predicted axial length change is negligibly small and much less than experimental data. This suggests that the strain-induced anisotropy may be the main cause of the Swift effect. (orig.)

  5. Effects of Cognition, Function, and Behavioral and Psychological Symptoms on Medicare Expenditures and Health Care Utilization for Persons With Dementia.

    Science.gov (United States)

    Jutkowitz, Eric; Kane, Robert L; Dowd, Bryan; Gaugler, Joseph E; MacLehose, Richard F; Kuntz, Karen M

    2017-06-01

    Clinical features of dementia (cognition, function, and behavioral/psychological symptoms [BPSD]) may differentially affect Medicare expenditures/health care utilization. We linked cross-sectional data from the Aging, Demographics, and Memory Study to Medicare data to evaluate the association between dementia clinical features among those with dementia and Medicare expenditures/health care utilization (n = 234). Cognition was evaluated using the Mini-Mental State Examination (MMSE). Function was evaluated as the number of functional limitations (0-10). BPSD was evaluated as the number of symptoms (0-12). Expenditures were estimated with a generalized linear model (log-link and gamma distribution). Number of hospitalizations, institutional outpatient visits, and physician visits were estimated with a negative binomial regression. Medicare covered skilled nursing days were estimated with a zero-inflated negative binomial model. Cognition and BPSD were not associated with expenditures. Among individuals with less than seven functional limitations, one additional limitation was associated with $123 (95% confidence interval: $19-$227) additional monthly Medicare spending. Better cognition and poorer function were associated with more hospitalizations among those with an MMSE less than three and less than six functional limitations, respectively. BPSD had no effect on hospitalizations. Poorer function and fewer BPSD were associated with more skilled nursing among individuals with one to seven functional limitations and more than four symptoms, respectively. Cognition had no effect on skilled nursing care. No clinical feature was associated with institutional outpatient care. Of individuals with an MMSE less than 15, poorer cognition was associated with fewer physician visits. Among those with more than six functional limitations, poorer function was associated with fewer physician visits. Poorer function, not cognition or BPSD, was associated with higher Medicare

  6. Diagnostic utility of the Key Search Test as a measure of executive functions

    NARCIS (Netherlands)

    Oosterman, J.M.; Molenveld, M.; Olde Rikkert, M.G.M.; Kessels, R.P.C.

    2010-01-01

    Background: Executive function deficits are commonly observed in many clinical populations, highlighting the importance of appropriate diagnostic tools to screen for these deficits. Most neuropsychological tests of executive function, however, are time-consuming and difficult to administer in the

  7. Diagnostic utility of the Key Search Test as a measure of executive functions.

    NARCIS (Netherlands)

    Oosterman, J.M.; Molenveld, M.; Olde Rikkert, M.G.M.; Kessels, R.P.C.

    2010-01-01

    BACKGROUND: Executive function deficits are commonly observed in many clinical populations, highlighting the importance of appropriate diagnostic tools to screen for these deficits. Most neuropsychological tests of executive function, however, are time-consuming and difficult to administer in the

  8. [An oral function improvement program utilizing health behavior theories ameliorates oral functions and oral hygienic conditions of pre-frail elderly persons].

    Science.gov (United States)

    Sakaguchi, Hideo

    2014-06-01

    Oral function improvement programs utilizing health behavior theories are considered to be effective in preventing the need for long-term social care. In the present study, an oral function improvement program based upon health behavior theories was designed, and its utility was assessed in 102 pre-frail elderly persons (33 males, 69 females, mean age: 76.9 +/- 5.7) considered to be in potential need of long-term social care and attending a long-term care prevention class in Sayama City, Saitama Prefecture, Japan. The degree of improvement in oral functions (7 items) and oral hygienic conditions (3 items) was assessed by comparing oral health before and after participation in the program. The results showed statistically significant improvements in the following oral functions: (1) lip functions (oral diadochokinesis, measured by the regularity of the repetition of the syllable "Pa"), (2) tongue functions, (3) tongue root motor skills (oral diadochokinesis, measured by the regularity of the repetition of the syllables "Ta" and "Ka"), (4) tongue extension/retraction, (5) side-to-side tongue movement functions, (6) cheek motor skills, and (7) repetitive saliva swallowing test (RSST). The following measures of oral hygiene also showed a statistically significant improvement: (1) debris on dentures or teeth, (2) coated tongue, and (3) frequency of oral cleaning. These findings demonstrated that an improvement program informed by health behavior theories is useful in improving oral functions and oral hygiene conditions.

  9. Quenched Chiral Logarithm Diverge in Very Light Quark Region from the Overlap Lattice Quantum Chromodynamics

    Institute of Scientific and Technical Information of China (English)

    应和平; 董绍静; 张剑波

    2003-01-01

    With an exact chiral symmetry, overlap fermions allow us to reach very light quark region. In the minimummps = 179 MeV, the quenched chiral logarithm diverge is examined. The chiral logarithm parameter δ is calculatedfrom both the pseudo-scalar meson mass mp2s diverge channel and the pseudo-scalar decay constant f p channel.In both the cases, we obtain δ = 0.25 ± 0.03. We also observe that the quenchedchiral logarithm diverge occursonly in the mps ≤400 MeV region.

  10. Leading Chiral Logarithms of $K_{S} \\to \\gamma \\gamma$ at two Loops

    CERN Document Server

    Ghorbani, Karim

    2014-01-01

    We obtain the leading divergences at two loops for the decay $K_{S} \\to \\gamma \\gamma$ using only one-loop diagrams. We then find the double chiral logarithmic corrections to the decay branching ratio. It turns out that these effects are numerically small and therefore make a very small enhancement on the branching ratio. We also derive an expression for the corrections of type $\\log \\mu~\\times$ LEC. We find out that these single logarithmic effects can be sizable but comes with opposite sign with respect to the double chiral logarithms. Some numerical results are presented.

  11. Fusion rules for the logarithmic $N=1$ superconformal minimal models I: the Neveu-Schwarz sector

    CERN Document Server

    Canagasabey, Michael; Ridout, David

    2015-01-01

    It is now well known that non-local observables in critical statistical lattice models, polymers and percolation for example, may be modelled in the continuum scaling limit by logarithmic conformal field theories. Fusion rules for such theories, sometimes referred to as logarithmic minimal models, have been intensively studied over the last ten years in order to explore the representation-theoretic structures relevant to non-local observables. Motivated by recent lattice conjectures, this work studies the fusion rules of the $N=1$ supersymmetric analogues of these logarithmic minimal models in the Neveu-Schwarz sector. Fusion rules involving Ramond representations will be addressed in a sequel.

  12. Constant-Step Stress Accelerated Life Test of VFD under Logarithmic Normal Distribution Case

    Institute of Scientific and Technical Information of China (English)

    2006-01-01

    In order to solve the life problem of vacuum fluorescent display (VFD) within shorter time, and reduce the life prediction cost, a constant-step stress accelerated life test was performed with its cathode temperature increased. Statistical analysis was done by applying logarithmic normal distribution for describing the life, and least square method (LSM) for estimating logarithmic normal parameters. Self-designed special software was used to predict the VFD life. It is verified by numerical results that the VFD life follows logarithmic normal distribution,and that the life-stress relationship satisfies linear Arrhenius equation completely. The accurate calculation of the key parameters enables the rapid estimation of VFD life.

  13. Public Key Infrastructure (PKI) And Virtual Private Network (VPN) Compared Using An Utility Function And The Analytic Hierarchy Process (AHP)

    OpenAIRE

    Wagner, Edward Dishman

    2002-01-01

    This paper compares two technologies, Public Key Infrastructure (PKI) and Virtual Private Network (VPN). PKI and VPN are two approaches currently in use to resolve the problem of securing data in computer networks. Making this comparison difficult is the lack of available data. Additionally, an organization will make their decision based on circumstances unique to their information security needs. Therefore, this paper will illustrate a method using a utility function and the Analytic Hie...

  14. Determining firms׳ utility functions and competitive roles from data on market shares using Lotka-Volterra models.

    Science.gov (United States)

    Marasco, A; Picucci, A; Romano, A

    2016-06-01

    In this article, we include data on historical and estimated market shares of two markets. In particular, we include annual data on the market shares of the Japanese beer market (1963-2000) and biannual data on the market shares of the mobile phones market in Greece (1998-2007). In addition, we estimate monthly data on market shares for both markets. We show how this data can be used to derive firms' utility functions and their competitive roles.

  15. Determining firms׳ utility functions and competitive roles from data on market shares using Lotka–Volterra models

    Directory of Open Access Journals (Sweden)

    A. Marasco

    2016-06-01

    Full Text Available In this article, we include data on historical and estimated market shares of two markets. In particular, we include annual data on the market shares of the Japanese beer market (1963–2000 and biannual data on the market shares of the mobile phones market in Greece (1998–2007. In addition, we estimate monthly data on market shares for both markets. We show how this data can be used to derive firms’ utility functions and their competitive roles.

  16. Determining firms׳ utility functions and competitive roles from data on market shares using Lotka–Volterra models

    Science.gov (United States)

    Marasco, A.; Picucci, A.; Romano, A.

    2016-01-01

    In this article, we include data on historical and estimated market shares of two markets. In particular, we include annual data on the market shares of the Japanese beer market (1963–2000) and biannual data on the market shares of the mobile phones market in Greece (1998–2007). In addition, we estimate monthly data on market shares for both markets. We show how this data can be used to derive firms’ utility functions and their competitive roles. PMID:27054182

  17. Burr Utility

    NARCIS (Netherlands)

    Ikefuji, M.; Laeven, R.J.A.; Magnus, J.R.; Muris, C.H.M.

    2010-01-01

    This note proposes the Burr utility function. Burr utility is a flexible two-parameter family that behaves approximately power-like (CRRA) remote from the origin, while exhibiting exponential-like (CARA) features near the origin. It thus avoids the extreme behavior of the power family near the origi

  18. Diagnostic utility of the Key Search Test as a measure of executive functions

    NARCIS (Netherlands)

    Oosterman, J.M.; Molenveld, M.; Olde Rikkert, M.G.M.; Kessels, R.P.C.

    2010-01-01

    Background: Executive function deficits are commonly observed in many clinical populations, highlighting the importance of appropriate diagnostic tools to screen for these deficits. Most neuropsychological tests of executive function, however, are time-consuming and difficult to administer in the ca

  19. Diagnostic utility of the Key Search Test as a measure of executive functions.

    NARCIS (Netherlands)

    Oosterman, J.M.; Molenveld, M.; Olde Rikkert, M.G.M.; Kessels, R.P.C.

    2010-01-01

    BACKGROUND: Executive function deficits are commonly observed in many clinical populations, highlighting the importance of appropriate diagnostic tools to screen for these deficits. Most neuropsychological tests of executive function, however, are time-consuming and difficult to administer in the ca

  20. Quasi-Leontief utility functions on partially ordered sets I: efficient points

    CERN Document Server

    Briec, Walter; Horvath, Charles

    2011-01-01

    A function $u: X\\to\\mathbb{R}$ defined on a partially ordered set is quasi-Leontief if, if for all $x\\in X$, the upper level set $\\{x^\\prime\\in X: u(x^\\prime)\\geqslant u(x)\\} $ has a smallest element. A function $u: \\prod_{j=1}^nX_j\\to\\mathbb{R}$ whose partial functions obtained by freezing $n-1$ of the variables are all quasi-Leontief is an individually quasi-Leontief function; a point $x$ of the product space is an efficient point for $u$ if it is a minimal element of $\\{x^\\prime\\in X: u(x^\\prime)\\geqslant u(x)\\} $. Part I deals with the maximisation of quasi-Leontief functions and the existence of efficient maximizers. Part II is concerned with the existence of efficient Nash equilibria for abstract games whose payoff functions are individually quasi-Leontief. Order theoretical and algebraic arguments are dominant in the first part while, in the second part, topology is heavily involved. In the framework and the language of tropical algebras, our quasi-Leontief functions are the additive functions defined ...

  1. Quasi-Leontief utility functions on partially ordered sets II: Nash equilibria

    CERN Document Server

    Briec, Walter; Horvath, Charles

    2011-01-01

    We prove that, under appropriate conditions, an abstract game with quasi-Leontief payoff functions $u_i : \\prod_{j=1}^nX_j\\to\\mathbb{R}$ has a Nash equilibria. When all the payoff functions are globally quasi-Leontief, the existence and the characterization of efficient Nash equilibria mainly follows from the analysis carried out in part I. When the payoff functions are individually quasi-Leontief functions the matter is somewhat more complicated. We assume that all the strategy spaces are compact topological semilattices, and under appropriate continuity conditions on the payoff functions, we show that there exists an efficient Nash equilibria using the Eilenberg-Montgomery Fixed Point Theorem for acyclic valued upper semicontinuous maps defined on an absolute retract and some non trivial properties of topological semilattices. The map in question is defined on the set of Nash equilibria and its fixed points are exactly the efficient Nash equilibria.

  2. [Logarithmic attachment to a monochromator for recording small changes in absorption].

    Science.gov (United States)

    Erygin, G D; Kosov, N A; Eremin, V A

    1978-01-01

    The paper describes a device consisting of a spectrophotometer (SP-4, SP-4A, SP-16), logarithmic amplifier, recording instrument and a flow-type cuvette that allows quantitative registration of biological substances during their separation on chromatographic columns.

  3. Error Analysis for RADAR Neighbor Matching Localization in Linear Logarithmic Strength Varying Wi-Fi Environment

    National Research Council Canada - National Science Library

    Zhou, Mu; Tian, Zengshan; Xu, Kunjie; Yu, Xiang; Wu, Haibo

    2014-01-01

    ...) in logarithmic received signal strength (RSS) varying Wi-Fi environment. To the best of our knowledge, little comprehensive analysis work has appeared on the error performance of neighbor matching localization with respect to the deployment of RPs...

  4. Fusion rules for the logarithmic $N=1$ superconformal minimal models II: including the Ramond sector

    CERN Document Server

    Canagasabey, Michael

    2015-01-01

    The Virasoro logarithmic minimal models were intensively studied by several groups over the last ten years with much attention paid to the fusion rules and the structures of the indecomposable representations that fusion generates. The analogous study of the fusion rules of the $N=1$ superconformal logarithmic minimal models was initiated in arXiv:1504.03155 as a continuum counterpart to the lattice explorations of arXiv:1312.6763. These works restricted fusion considerations to Neveu-Schwarz representations. Here, this is extended to include the Ramond sector. Technical advances that make this possible include a fermionic Verlinde formula applicable to logarithmic conformal field theories and a twisted version of the fusion algorithm of Nahm and Gaberdiel-Kausch. The results include the first construction and detailed analysis of logarithmic structures in the Ramond sector.

  5. Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity

    Science.gov (United States)

    Ji, Shanming; Yin, Jingxue; Cao, Yang

    2016-11-01

    In this paper, we consider the periodic problem for semilinear heat equation and pseudo-parabolic equation with logarithmic source. After establishing the existence of positive periodic solutions, we discuss the instability of such solutions.

  6. A note on the "logarithmic-W_3" octuplet algebra and its Nichols algebra

    OpenAIRE

    Semikhatov, A M

    2013-01-01

    We describe a Nichols-algebra-motivated construction of an octuplet chiral algebra that is a "W_3-counterpart" of the triplet algebra of (p,1) logarithmic models of two-dimensional conformal field theory.

  7. Off-shell scattering amplitudes in the double-logarithmic approximation

    CERN Document Server

    Ermolaev, B I; Olness, F; Troyan, S I

    2005-01-01

    When scattering amplitudes are calculated in the double-logarithmic approximation, it is possible to relate the double-logarithmic on-shell and off-shell amplitudes. Explicit relations are obtained for scattering amplitudes in QED, QCD, and the ElectroWeak Standard Model. The off-shell amplitudes are considered in the hard and the Regge kinematic limits. We compare our results in both the Feynman and Coulomb gauges.

  8. Logarithmic Corrections to the Black Hole Entropy Product of ${\\cal H}^{\\pm}$ via Cardy Formula

    CERN Document Server

    Pradhan, Parthapratim

    2016-01-01

    We compute the logarithmic corrections to the black hole (BH) entropy product of ${\\cal H}^{\\pm}$ \\footnote{ ${\\cal H}^{+}$ and ${\\cal H}^{-}$ denote outer (event) horizon and inner (Cauchy) horizons} by using \\emph{Cardy prescription}. We particularly apply this formula for BTZ BH. We show that logarithmic corrections to the entropy product of ${\\cal H}^{\\pm}$ when computed \\emph{via Cardy formula} it does not mass-independent (universal) nor does it quantized.

  9. NORM SUMMABILITY OF N(O)RLUND LOGARITHMIC MEANS ON UNBOUNDED VILENKIN GROUPS

    Institute of Scientific and Technical Information of China (English)

    I.Blahota; G.Gát

    2008-01-01

    The (N(o)rlund)logarithmic means of the Fburier series is:tnf=1/ln∑n-1k=1Skf/n-k,where ln=∑n-1k=11/k.In general,the Fejér(C,1)means have better propeaies than the logarithmic ones.We compare them and show that in the case of some unbounded Vilenkin systems the situation changes.

  10. Logarithmic modes of critical gravity in de Sitter space-time

    CERN Document Server

    Setare, M R

    2012-01-01

    In this paper we consider the critical gravity in four dimensional de Sitter space-time. We obtain logarithmic modes in the critical point of the theory. Then we show that these logarithmic modes in de Sitter space-time obey similar properties as the ones in AdS-space-time. Our result in this paper indicate that critical gravity theories in de Sitter space-times could lead to a de Sitter/log CFT correspondence.

  11. Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant

    CERN Document Server

    Sadeghi, J; Kubeka, A S; Rostami, M

    2015-01-01

    In this paper, we consider a cosmological model of $f(R)$ gravity with polynomial form plus logarithmic term. We calculate some cosmological parameters and compare our results with the Plank 2015. We find that presence of both logarithmic and polynomial corrections are necessary to yield slow-roll condition. Also, we study critical points and stability of the model to find that it is a viable model.

  12. 具有不同效用函数的最优投资组合分析%Analysis of Optimal Portfolio with Different Utility Function

    Institute of Scientific and Technical Information of China (English)

    姚远; 史本山

    2006-01-01

    The question of optimal portfolio is that finds the trading strategy satisfying the maximal expected utility function subject to some constraints. There is the optimal trading strategy under the risk neutral probability measure (martingale measure) if and only if there is no-arbitrage opportunity in the market. This paper argues the optimal wealth and the optimal value of expected utility with different utility function.

  13. Utilizing Symbolic Programming in Analog Circuit Synthesis of Arbitrary Rational Transfer Functions

    Directory of Open Access Journals (Sweden)

    Amjad Fuad Hajjar

    2014-11-01

    Full Text Available The employment of symbolic programming in analog circuit design for system interfaces is proposed. Given a rational transfer function with a set of specifications and constraints, one may autonomously synthesize it into an analog circuit. First, a classification of the target transfer function polynomials into 14 classes is performed. The classes include both stable and unstable functions as required. A symbolic exhaustive search algorithm based on a circuit configuration under investigation is then conducted where a polynomial in hand is to be identified. For illustration purposes, a set of complete design equations for the primary rational transfer functions is obtained targeting all classes of second order polynomials based on a proposed general circuit configuration. The design consists of a single active element and four different circuit structures. Finally, an illustrative example with full analysis and simulation is presented.

  14. Role of Utility and Inference in the Evolution of Functional Information

    OpenAIRE

    Sharov, Alexei A

    2009-01-01

    Functional information means an encoded network of functions in living organisms from molecular signaling pathways to an organism’s behavior. It is represented by two components: code and an interpretation system, which together form a self-sustaining semantic closure. Semantic closure allows some freedom between components because small variations of the code are still interpretable. The interpretation system consists of inference rules that control the correspondence between the code and th...

  15. Functional diversity of the microbial community in healthy subjects and periodontitis patients based on sole carbon source utilization.

    Directory of Open Access Journals (Sweden)

    Yifei Zhang

    Full Text Available Chronic periodontitis is one of the most common forms of biofilm-induced diseases. Most of the recent studies were focus on the dental plaque microbial diversity and microbiomes. However, analyzing bacterial diversity at the taxonomic level alone limits deeper comprehension of the ecological relevance of the community. In this study, we compared the metabolic functional diversity of the microbial community in healthy subjects and periodontitis patients in a creative way--to assess the sole carbon source utilization using Biolog assay, which was first applied on oral micro-ecology assessment. Pattern analyses of 95-sole carbon sources catabolism provide a community-level phenotypic profile of the microbial community from different habitats. We found that the microbial community in the periodontitis group had greater metabolic activity compared to the microbial community in the healthy group. Differences in the metabolism of specific carbohydrates (e.g. β-methyl-D-glucoside, stachyose, maltose, D-mannose, β-methyl-D-glucoside and pyruvic acid were observed between the healthy and periodontitis groups. Subjects from the healthy and periodontitis groups could be well distinguished by cluster and principle component analyses according to the utilization of discriminate carbon sources. Our results indicate significant difference in microbial functional diversity between healthy subjects and periodontitis patients. We also found Biolog technology is effective to further our understanding of community structure as a composite of functional abilities, and it enables the identification of ecologically relevant functional differences among oral microbial communities.

  16. Normalization of cardiac substrate utilization and left ventricular hypertrophy precede functional recovery in heart failure regression.

    Science.gov (United States)

    Byrne, Nikole J; Levasseur, Jody; Sung, Miranda M; Masson, Grant; Boisvenue, Jamie; Young, Martin E; Dyck, Jason R B

    2016-05-15

    Impaired cardiac substrate metabolism plays an important role in heart failure (HF) pathogenesis. Since many of these metabolic changes occur at the transcriptional level of metabolic enzymes, it is possible that this loss of metabolic flexibility is permanent and thus contributes to worsening cardiac function and/or prevents the full regression of HF upon treatment. However, despite the importance of cardiac energetics in HF, it remains unclear whether these metabolic changes can be normalized. In the current study, we investigated whether a reversal of an elevated aortic afterload in mice with severe HF would result in the recovery of cardiac function, substrate metabolism, and transcriptional reprogramming as well as determined the temporal relationship of these changes. Male C57Bl/6 mice were subjected to either Sham or transverse aortic constriction (TAC) surgery to induce HF. After HF development, mice with severe HF (% ejection fraction hypertrophy/HF were returned to values observed in healthy controls. Interestingly, pressure-overload-induced left ventricular hypertrophy (LVH) and cardiac substrate metabolism were restored at 1-week post-DB, which preceded functional recovery. The regression of severe HF is associated with early and dramatic improvements in cardiac energy metabolism and LVH normalization that precede restored cardiac function, suggesting that metabolic and structural improvements may be critical determinants for functional recovery. Published on behalf of the European Society of Cardiology. All rights reserved. © The Author 2016. For permissions please email: journals.permissions@oup.com.

  17. Increasing the utility of the Functional Assessment for Burns Score: Not just for major burns.

    Science.gov (United States)

    Smailes, Sarah T; Engelsman, Kayleen; Rodgers, Louise; Upson, Clara

    2016-02-01

    The Functional Assessment for Burns (FAB) score is established as an objective measure of physical function that predicts discharge outcome in adult patients with major burn. However, its validity in patients with minor and moderate burn is unknown. This is a multi-centre evaluation of the predictive validity of the FAB score for discharge outcome in adult inpatients with minor and moderate burns. FAB assessments were undertaken within 48 h of admission to (FAB 1), and within 48 h of discharge (FAB 2) from burn wards in 115 patients. Median age was 45 years and median burn size 4%. There were significant improvements in the patients' FAB scores (pburns.

  18. Prekindergarten Children's Executive Functioning Skills and Achievement Gains: The Utility of Direct Assessments and Teacher Ratings

    Science.gov (United States)

    Fuhs, Mary Wagner; Farran, Dale Clark; Nesbitt, Kimberly Turner

    2015-01-01

    An accumulating body of evidence suggests that young children who exhibit greater executive functioning (EF) skills in early childhood also achieve more academically. The goal of the present study was to examine the unique contributions of direct assessments and teacher ratings of children's EF skills at the beginning of prekindergarten (pre-k) to…

  19. A Pan-Function Model for the Utilization of Bandwidth Improvement and PAPR Reduction

    Directory of Open Access Journals (Sweden)

    Yidong Xu

    2014-01-01

    Full Text Available Aiming at the digital quadrature modulation system, a mathematical Pan-function model of the optimized baseband symbol signals with a symbol length of 4T was established in accordance with the minimum out-band energy radiation criterion. The intersymbol interference (ISI, symbol-correlated characteristics, and attenuation factor were introduced to establish the mathematical Pan-function model. The Pan-function was added to the constraints of boundary conditions, energy of a single baseband symbol signal, and constant-envelope conditions. Baseband symbol signals with the optimum efficient spectrum were obtained by introducing Fourier series and minimizing the Pan-function. The characteristics of the spectrum and peak-to-average power ratio (PAPR of the obtained signals were analyzed and compared with the minimum shift keying (MSK and quadrature phase-shift keying (QPSK signals. The obtained signals have the characteristics of a higher spectral roll-off rate, less out-band radiation, and quasi-constant envelope. We simulated the performance of the obtained signals, and the simulation results demonstrate that the method is feasible.

  20. Current utilization, interpretation, and recommendations: the musculoskeletal function assessments (MFA/SMFA).

    Science.gov (United States)

    Barei, David P; Agel, Julie; Swiontkowski, Marc F

    2007-01-01

    The development of patient-oriented health status measurements has resulted in the emergence of several generic condition-specific and anatomic-specific instruments. These instruments are generally designed to measure the function of the individual as a whole from the individual's own point of view. They are not intended to replace traditional physician-oriented clinical outcome measures, such as complication rates, ranges of motion, or time to fracture union; instead, they are an attempt to measure the results of a treatment or condition from the patient's perspective. Over the past decade, the Musculoskeletal Function Assessment (MFA) instrument has been developed and used as one of the primary generic musculoskeletal functional assessment tools, in part because of its validity, reliability, and responsiveness. Despite the numerous publications reporting the MFA/SMFA, we are unaware of any publications that have used those results to subsequently affect patient care. We hope that this special interest article highlights the current underutilization of the available data and encourages the orthopedic community to maximize the clinical and research potential of the MFA/SMFA (Short Musculoskeletal Function Assessment).

  1. (Mal)Adaptive Psychological Functioning of Students Utilizing University Counseling Services

    Science.gov (United States)

    Biasi, Valeria; Cerutti, Rita; Mallia, Luca; Menozzi, Francesca; Patrizi, Nazarena; Violani, Cristiano

    2017-01-01

    Background: University students confront psychological difficulties that can negatively influence their academic performance. The present study aimed to assess several areas of adaptive and maladaptive psychological functioning among university students who request counseling services. Method: One hundred eighty-four young female students seeking professional psychological help (Counseling seekers) and 185 young female students who have never asked for psychological help (Non-counseling seekers) were asked to complete the Adult Self-Report (ASR) to evaluate both their internalizing and externalizing problems through DSM-oriented scales as well as their adaptive functioning. Results: ANOVA results indicated worse psychological functioning for the students who sought counseling. They reported lower score in ASR Adaptive Functioning Scales (i.e., friends, jobs, family, education), and higher scores in DSM-oriented scales (i.e., Depressive, Anxiety, Somatic, Avoidant Personality, Attention Deficit/Hyperactivity symptoms) than the students who never asked psychological help. Furthermore, discriminant analysis successfully discriminated between the two groups of students on the basis of the ASR’s adaptive and DSM-oriented scales. Conclusion: The study findings could be useful to guide university counseling services in their screening activities as well as useful for clinical practice. PMID:28360880

  2. The Utility of the Lambert Function W[a exp(a - bt)] in Chemical Kinetics

    Science.gov (United States)

    Williams, Brian Wesley

    2010-01-01

    The mathematical Lambert function W[a exp(a - bt)] is used to find integrated rate laws for several examples, including simple enzyme and Lindemann-Christiansen-Hinshelwood (LCH) unimolecular decay kinetics. The results derived here for the well-known LCH mechanism as well as for a dimer-monomer reaction mechanism appear to be novel. A nonlinear…

  3. Phase transition in matrix model with logarithmic action: Toy-model for gluons in baryons

    CERN Document Server

    Krishnaswami, G S

    2006-01-01

    We study the competing effects of gluon self-coupling and their interactions with quarks in a baryon, using the very simple setting of a hermitian 1-matrix model with action tr A^4 - log det(nu + A^2). The logarithmic term comes from integrating out N quarks. The model is a caricature of 2d QCD coupled to adjoint scalars, which are the transversely polarized gluons in a dimensional reduction. nu is a dimensionless ratio of quark mass to coupling constant. The model interpolates between gluons in the vacuum (nu=infinity), gluons weakly coupled to heavy quarks (large nu) and strongly coupled to light quarks in a baryon (nu to 0). It's solution in the large-N limit exhibits a phase transition from a weakly coupled 1-cut phase to a strongly coupled 2-cut phase as nu is decreased below nu_c = 0.27. Free energy and correlation functions are discontinuous in their third and second derivatives at nu_c. The transition to a two-cut phase forces eigenvalues of A away from zero, making glue-ring correlations grow as nu i...

  4. Dark energy from logarithmically modified gravity and deformed Coleman-Weinberg potential

    Institute of Scientific and Technical Information of China (English)

    Ahmad Rami El-Nabulsi

    2011-01-01

    Recent astrophysical measurements strongly suggest the existence of a missing energy component dubbed dark energy that is responsible for the current accelerated expansion of the universe. A new class of modified gravity theory is introduced which yields a universe accelerating in time and dominated by dark energy. The new modified gravity model constructed here concurrently includes a Gauss-Bonnet invariant term, barotropic fluid with a time-dependent equation of state parameter,a Coleman-Weinberg (CW) potential-like expression V(φ) = ξφm In φn and a new Einstein-Hilbert term f(R, φ) = E(φ)R which depends on both the scalar curvature and the scalar field φ through a generic logarithmic function E(φ) =In φ. Here m and n take different values from the standard CW potential and ξ is a real parameter.It was shown that the presence of these terms provides many useful features which are discussed in some detail.

  5. Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models

    CERN Document Server

    Morin-Duchesne, Alexi; Rasmussen, Jorgen

    2014-01-01

    A Temperley-Lieb (TL) loop model is a Yang-Baxter integrable lattice model with nonlocal degrees of freedom. On a strip of width N, the evolution operator is the double-row transfer tangle D(u), an element of the TL algebra TL_N(beta) with loop fugacity beta=2cos(lambda). Similarly on a cylinder, the single-row transfer tangle T(u) is an element of the enlarged periodic TL algebra. The logarithmic minimal models LM(p,p') comprise a subfamily of the TL loop models for which the crossing parameter lambda=(p'-p)pi/p' is parameterised by coprime integers 02 takes the form of functional relations for D(u) and T(u) of polynomial degree p'. These derive from fusion hierarchies of commuting transfer tangles D^{m,n}(u) and T^{m,n}(u) where D(u)=D^{1,1}(u) and T(u)=T^{1,1}(u). The fused transfer tangles are constructed from (m,n)-fused face operators involving Wenzl-Jones projectors P_k on k=m or k=n nodes. Some projectors P_k are singular for k>p'-1, but we argue that D^{m,n}(u) and T^{m,n}(u) are well defined for all...

  6. On the Interpretation of Response Time vs Onset Asynchrony Functions: Application to Dual-Task and Precue-Utilization Paradigms.

    Science.gov (United States)

    Schwarz, Wolfgang; Ischebeck, Anja

    2001-06-01

    The central bottleneck model of dual-task performance (H. Pashler and J. C. Johnston, 1998, Quarterly Journal of Experimental Psychology, 46A, 51-82) and the serial processing model of precue utilization (R. Gottsdanker, 1992, Acta Psychologica, 79, 21-43) are based on a common formal structure: They both represent response time as RT(tau)=max(X-tau, Y)+Z, where X, Y, Z denote the duration of certain processing stages specified by the models and tau denotes the onset asynchrony (SOA) between two stimuli. We consider this model within a stochastic framework in which the stage durations are random variables following an arbitrary joint distribution and derive properties of the function relating E[RT(tau)] to SOA. We present a distribution-free result which relates the slope of this function to the distribution of the random durations of the assumed processing stages. Our results allow for a direct, model-based interpretation of data from related experiments; specifically, they show how the slope of the SOA-function depends on experimental factors which selectively influence individual processing stages. We explain the implications of our results for models of dual-task performance and precue utilization and illustrate their application to data obtained by M. C. Smith (1969, Acta Psychologica, 30, 220-231) and R. Gottsdanker (1992, loc. cit.) Copyright 2001 Academic Press.

  7. Reaching unanimous agreements within agent-based negotiation teams with linear and monotonic utility functions.

    Science.gov (United States)

    Sanchez-Anguix, Victor; Julian, Vicente; Botti, Vicente; García-Fornes, Ana

    2012-06-01

    In this article, an agent-based negotiation model for negotiation teams that negotiate a deal with an opponent is presented. Agent-based negotiation teams are groups of agents that join together as a single negotiation party because they share an interest that is related to the negotiation process. The model relies on a trusted mediator that coordinates and helps team members in the decisions that they have to take during the negotiation process: which offer is sent to the opponent, and whether the offers received from the opponent are accepted. The main strength of the proposed negotiation model is the fact that it guarantees unanimity within team decisions since decisions report a utility to team members that is greater than or equal to their aspiration levels at each negotiation round. This work analyzes how unanimous decisions are taken within the team and the robustness of the model against different types of manipulations. An empirical evaluation is also performed to study the impact of the different parameters of the model.

  8. The utility of uric acid assay in dogs as an indicator of functional hepatic mass

    Directory of Open Access Journals (Sweden)

    J. M. Hill

    2011-04-01

    Full Text Available Uric acid was used as a test for liver disease before the advent of enzymology. Three old studies criticised uric acid as a test of liver function. Uric acid, as an end-product of purine metabolism in the liver, deserved re-evaluation as a liver function test. Serumtotal bile acids are widely accepted as the most reliable liver function test. This study compared the ability of serumuric acid concentration to assess liver function with that of serumpre-prandial bile acids in dogs. In addition, due to the renal excretion of uric acid the 2 assays were also compared in a renal disease group. Using a control group of healthy dogs, a group of dogs with congenital vascular liver disease, a group of dogs with non-vascular parenchymal liver diseases and a renal disease group, the ability of uric acid and pre-prandial bile acids was compared to detect reduced functional hepatic mass overall and in the vascular or parenchymal liver disease groups separately. Sensitivities, specificities and predictive value parameters were calculated for each test. The medians of uric acid concentration did not differ significantly between any of the groups, whereas pre-prandial bile acids medians were significantly higher in the liver disease groups compared with the normal and renal disease group of dogs. The sensitivity of uric acid in detecting liver disease overall was 65% while the specificity of uric acid in detecting liver disease overall was 59 %. The sensitivity and specificity of uric acid in detecting congenital vascular liver disease was 68%and 59 %, respectively. The sensitivity and specificity of uric acid in detecting parenchymal liver disease was 63%and 60 %, respectively. The overall positive and negative predictive values for uric acid in detecting liver disease were poor and the data in this study indicated uric acid to be an unreliable test of liver function. In dogs suffering from renal compromise serum uric acid concentrations may increase into the

  9. An analysis of the functional health of obese children and adolescents utilizing the PODC instrument.

    Science.gov (United States)

    Podeszwa, David A; Stanko, Karen J; Mooney, James F; Cramer, Kathryn E; Mendelow, Michael J

    2006-01-01

    Childhood and adolescent obesity is increasing in prevalence and is known to have long-term medical and musculoskeletal consequences. The baseline Pediatric Outcomes Data Collection Instrument (PODCI) was administered to 50 obese patients (>95th percentile BMI for age) or their parent (for those 11 years, n = 36; <11 years, n = 14) in any demographic or PODCI category. Compared with normative data, there was significant impairment in sports and pain identified in both genders, African-Americans, and those older than 11 years. These findings were consistent when comparing genders, ethnicities, and ages. There was no difference in happiness between any gender, age, or ethnic group. All groups reported essentially neutral satisfaction. There appears to be a lack of self-recognition of or reluctance to admit functional impairment secondary to obesity. Being obese, African-American ethnicity, and age older than 11 years appear to be risk factors for limited, yet significant, functional impairment.

  10. The Nutraceutical Properties of Ovotransferrin and Its Potential Utilization as a Functional Food.

    Science.gov (United States)

    Giansanti, Francesco; Leboffe, Loris; Angelucci, Francesco; Antonini, Giovanni

    2015-11-04

    Ovotransferrin or conalbumin belong to the transferrin protein family and is endowed with both iron-transfer and protective activities. In addition to its well-known antibacterial properties, ovotransferrin displays other protective roles similar to those already ascertained for the homologous mammalian lactoferrin. These additional functions, in many cases not directly related to iron binding, are also displayed by the peptides derived from partial hydrolysis of ovotransferrin, suggesting a direct relationship between egg consumption and human health.

  11. Eddy current nondestructive testing device for measuring variable characteristics of a sample utilizing Walsh functions

    Science.gov (United States)

    Libby, Hugo L.; Hildebrand, Bernard P.

    1978-01-01

    An eddy current testing device for measuring variable characteristics of a sample generates a signal which varies with variations in such characteristics. A signal expander samples at least a portion of this generated signal and expands the sampled signal on a selected basis of square waves or Walsh functions to produce a plurality of signal components representative of the sampled signal. A network combines these components to provide a display of at least one of the characteristics of the sample.

  12. An Investigation of Crust and Upper Mantle Structure in Western Argentina Utilizing Local Event Receiver Functions

    Science.gov (United States)

    Calkins, J. A.; Zandt, G.; Gilbert, H.; Beck, S.

    2004-12-01

    Images of the crust-mantle boundary and crustal structure obtained using the traditional analysis of teleseismic receiver functions (RFs) exhibit an unusually weak P-S conversion from the Moho in Western Argentina, where the subducting Nazca plate temporarily flattens out beneath the overriding South American plate. In order to better estimate depth to the Moho and search for mid-crustal impedance contrasts, we calculate and stack receiver functions using approximately 45 local earthquakes occurring in the downgoing slab between December of 2000 and February of 2001. The events occurred over a depth range of 76 to 165 km and were all within 128 km horizontal distance of the recording station and thus traveled with ray parameters less than .09 s/km. Radial receiver functions are calculated at two temporary broadband seismic stations located between San Juan and Mendoza, in the region where the Precordillera transitions eastward to the Sierras Pampeanas. Plots of stacked RFs as a function of ray parameter show a strong signal from the Moho at 7 seconds corresponding to a depth near 50 km, as well as conversions from interfaces within the crust at depths of ˜ 20 and 35 km. It should be noted that the narrow time interval between the P and S arrivals, due to the close proximity of events to the stations, precludes the analysis of reverberations within the crust to better constrain crustal Vp/Vs estimates and to refine the depth to interfaces. The observed Moho depth is in good agreement with estimates made using Pn apparent phase velocities along a transect through tectonically similar terrain 200 km to the north. In both cases, areas of relatively low topography are underlain by anomalously thick crust. The discrepancy in the clarity of the Moho Ps between RFs obtained using teleseismic versus local events currently remains unexplained but is an area of ongoing research.

  13. Synthesis of a drug delivery vehicle for cancer treatment utilizing DNA-functionalized gold nanoparticles

    Science.gov (United States)

    Brann, Tyler

    The treatment of cancer with chemotherapeutic agents has made great strides in the last few decades but still introduces major systemic side effects. The potent drugs needed to kill cancer cells often cause irreparable damage to otherwise healthy organs leading to further morbidity and mortality. A therapy with intrinsic selective properties and/or an inducible activation has the potential to change the way cancer can be treated. Gold nanoparticles (GNPs) are biocompatible and chemically versatile tools that can be readily functionalized to serve as molecular vehicles. The ability of these particles to strongly absorb light with wavelengths in the therapeutic window combined with the heating effect of surface plasmon resonance makes them uniquely suited for noninvasive heating in biologic applications. Specially designed DNA aptamers have shown their ability to serve as drug carriers through intercalation as well as directly acting as therapeutic agents. By combining these separate molecules a multifaceted drug delivery vehicle can be created with great potential as a selective and controllable treatment for cancer. Oligonucleotide-coated GNPs have been created using spherical GNPs but little work has been reported using gold nanoplates in this way. Using the Diasynth method gold nanoplates were produced to absorb strongly in the therapeutic near infrared (nIR) window. These particles were functionalized with two DNA oligonucleotides: one serving as an intercalation site for doxorubicin, and another, AS1411, serving directly as an anticancer targeting/therapeutic agent. These functional particles were fully synthesized and processed along with confirmation of DNA functionalization and doxorubicin intercalation. Doxorubicin is released via denaturation of the DNA structure into which doxorubicin is intercalated upon the heating of the gold nanoplate well above the DNA melting temperature. This temperature increase, due to light stimulation of surface plasmon

  14. Utilizing Probability Distribution Functions and Ensembles to Forecast lonospheric and Thermosphere Space Weather

    Science.gov (United States)

    2016-04-26

    created using probability distribution functions. This new model performs as well or better than other modern models of the solar wind velocity. In... Physics , 120: 7987-8001, doi: 10.1002/2014JA020962. Abstract: The temporal and spatial variations of the thermospheric mass density during a series of...2015), Theoretical study of zonal differences of electron density at midlatitudes with GITM simulation, J. Geophys. Res. Space Physics , 120, 2951

  15. Utilization of Food Processing By-products as Dietary, Functional, and Novel Fiber: A Review.

    Science.gov (United States)

    Sharma, Satish Kumar; Bansal, Sangita; Mangal, Manisha; Dixit, Anil Kumar; Gupta, Ram K; Mangal, A K

    2016-07-26

    Fast growing food processing industry in most countries across the world, generates huge quantity of by-products, including pomace, hull, husk, pods, peel, shells, seeds, stems, stalks, bran, washings, pulp refuse, press cakes, etc., which have less use and create considerable environmental pollution. With growing interest in health promoting functional foods, the demand of natural bioactives has increased and exploration for new sources is on the way. Many of the food processing industrial by-products are rich sources of dietary, functional, and novel fibers. These by-products can be directly (or after certain modifications for isolation or purification of fiber) used for the manufacture of various foods, i.e. bread, buns, cake, pasta, noodles, biscuit, ice creams, yogurts, cheese, beverages, milk shakes, instant breakfasts, ice tea, juices, sports drinks, wine, powdered drink, fermented milk products, meat products and meat analogues, synthetic meat, etc. A comprehensive literature survey has been carried on this topic to give an overview in the field dietary fiber from food by-products. In this article, the developments in the definition of fiber, fiber classification, potential sources of dietary fibers in food processing by-products, their uses, functional properties, caloric content, energy values and the labelling regulations have been discussed.

  16. Comparative study on medical utilization and costs of chronic obstructive pulmonary disease with good lung function

    Directory of Open Access Journals (Sweden)

    Lim JU

    2017-09-01

    costs were obtained from the Health Insurance Review and Assessment Service and were compared with the data of patients with COPD with FEV1 ≥60% from the Korean COPD Subtype Study (KOCOSS cohort.Results: Based on EuroQol 5-dimension questionnaire index scores of 0.9±0.14, we found that patients with COPD from the KNHANES group showed few symptoms compared to those from the KOCOSS cohort. In 2007, among the patients with COPD with an FEV1 value of ≥60%, only 3.6% from the KNHANES group and 30% from the KOCOSS cohort visited medical facilities. Total medical cost per person per year increased from 264.37±663.41 US Dollars (USD in 2007 to 797.00±2,724.21 USD in 2012 for the KNHANES group. In 2012, only 20.7% of the patients from KNHANES database received long-acting muscarinic agonists (LAMA, whereas 78.7% of the patients from KOCOSS database received LAMA.Conclusion: Medical resource utilization and medical costs per person for patients with early COPD in Korea increased. However, asymptomatic patients with COPD represented by the KNHANES group do not receive adequate long-term treatment compared to relatively symptomatic patients, and require more clinical attention from physicians. Keywords: early COPD, medical cost, medical utilization 

  17. Risk-Sensitive Multiagent Decision-Theoretic Planning Based on MDP and One-Switch Utility Functions

    Directory of Open Access Journals (Sweden)

    Wei Zeng

    2014-01-01

    Full Text Available In high stakes situations decision-makers are often risk-averse and decision-making processes often take place in group settings. This paper studies multiagent decision-theoretic planning under Markov decision processes (MDPs framework with considering the change of agent’s risk attitude as his wealth level varies. Based on one-switch utility function that describes agent’s risk attitude change with his wealth level, we give the additive and multiplicative aggregation models of group utility and adopt maximizing expected group utility as planning objective. When the wealth level approaches infinity, the characteristics of optimal policy are analyzed for the additive and multiplicative aggregation model, respectively. Then a backward-induction method is proposed to divide the wealth level interval from negative infinity to initial wealth level into subintervals and determine the optimal policy in states and subintervals. The proposed method is illustrated by numerical examples and the influences of agent’s risk aversion parameters and weights on group decision-making are also analyzed.

  18. THE CONTROL FUNCTION OF THE STATE TREASURY, AN EFFICIENT TOOL OF PUBLIC RESOURCE UTILIZATION

    Directory of Open Access Journals (Sweden)

    DUMITRU POPOVICI

    2012-11-01

    Full Text Available The paper shows a summarized form of the control function of the State Treasury with respect to the budget execution of administrative divisions. It insists on the role of the operational Treasury within the administrative fiscal bodies. The Treasury has a preventive control in that it intervenes (exercises before the economic and financial transaction, assumed and ordered by the credit officer, takes place .The control of the Treasury on the execution is done by the service / office - Control and Public Reimbursement.

  19. Clinical utility of resting-state functional connectivity magnetic resonance imaging for mood and cognitive disorders.

    Science.gov (United States)

    Takamura, T; Hanakawa, T

    2017-07-01

    Although functional magnetic resonance imaging (fMRI) has long been used to assess task-related brain activity in neuropsychiatric disorders, it has not yet become a widely available clinical tool. Resting-state fMRI (rs-fMRI) has been the subject of recent attention in the fields of basic and clinical neuroimaging research. This method enables investigation of the functional organization of the brain and alterations of resting-state networks (RSNs) in patients with neuropsychiatric disorders. Rs-fMRI does not require participants to perform a demanding task, in contrast to task fMRI, which often requires participants to follow complex instructions. Rs-fMRI has a number of advantages over task fMRI for application with neuropsychiatric patients, for example, although applications of task fMR to participants for healthy are easy. However, it is difficult to apply these applications to patients with psychiatric and neurological disorders, because they may have difficulty in performing demanding cognitive task. Here, we review the basic methodology and analysis techniques relevant to clinical studies, and the clinical applications of the technique for examining neuropsychiatric disorders, focusing on mood disorders (major depressive disorder and bipolar disorder) and dementia (Alzheimer's disease and mild cognitive impairment).

  20. Utility of SARC-F for Assessing Physical Function in Elderly Patients With Cardiovascular Disease.

    Science.gov (United States)

    Tanaka, Shinya; Kamiya, Kentaro; Hamazaki, Nobuaki; Matsuzawa, Ryota; Nozaki, Kohei; Maekawa, Emi; Noda, Chiharu; Yamaoka-Tojo, Minako; Matsunaga, Atsuhiko; Masuda, Takashi; Ako, Junya

    2017-02-01

    A simple and inexpensive tool for screening of sarcopenia would be helpful for clinicians. The present study was performed to determine whether the SARC-F questionnaire is useful in screening of patients with cardiovascular disease (CVD) for impaired physical function. Cross-sectional study. Single university hospital. A total of 235 Japanese patients ≥65 years old admitted to our hospital for CVD. SARC-F, handgrip strength, leg strength, respiratory muscle strength, standing balance, usual gait speed, Short Physical Performance Battery (SPPB) score, and 6-minute walking distance were measured before discharge from hospital. The patients were divided into 2 groups according to SARC-F score: SARC-F F ≥ 4 (sarcopenia group). The sarcopenia prevalence rate was 25.5% and increased with age (P trend F score ≥ 4) had significantly lower handgrip strength, leg strength, and respiratory muscle strength, poorer standing balance, slower usual gait speed, lower SPPB score, and shorter 6-minute walking distance compared to the nonsarcopenia group (SARC-F score F questionnaire is a useful screening tool for impaired physical function in elderly CVD patients. These findings support the use of the SARC-F for screening in hospital settings. Copyright © 2016 AMDA – The Society for Post-Acute and Long-Term Care Medicine. Published by Elsevier Inc. All rights reserved.

  1. World Climate Classification and Search: Data Mining Approach Utilizing Dynamic Time Warping Similarity Function

    Science.gov (United States)

    Stepinski, T. F.; Netzel, P.; Jasiewicz, J.

    2014-12-01

    We have developed a novel method for classification and search of climate over the global land surface excluding Antarctica. Our method classifies climate on the basis of the outcome of time series segmentation and clustering. We use WorldClim 30 arc sec. (approx. 1 km) resolution grid data which is based on 50 years of climatic observations. Each cell in a grid is assigned a 12 month series consisting of 50-years monthly averages of mean, maximum, and minimum temperatures as well as the total precipitation. The presented method introduces several innovations with comparison to existing data-driven methods of world climate classifications. First, it uses only climatic rather than bioclimatic data. Second, it employs object-oriented methodology - the grid is first segmented before climatic segments are classified. Third, and most importantly, the similarity between climates in two given cells is performed using the dynamic time warping (DTW) measure instead of the Euclidean distance. The DTW is known to be superior to Euclidean distance for time series, but has not been utilized before in classification of global climate. To account for computational expense of DTW we use highly efficient GeoPAT software (http://sil.uc.edu/gitlist/) that, in the first step, segments the grid into local regions of uniform climate. In the second step, the segments are classified. We also introduce a climate search - a GeoWeb-based method for interactive presentation of global climate information in the form of query-and-retrieval. A user selects a geographical location and the system returns a global map indicating level of similarity between local climates and a climate in the selected location. The results of the search for location: "University of Cincinnati, Main Campus" are presented on attached map. The results of the search for location: "University of Cincinnati, Main Campus" are presented on the map. We have compared the results of our method to Koeppen classification scheme

  2. Vector valued logarithmic residues and the extraction of elementary factors

    NARCIS (Netherlands)

    H. Bart (Harm); T. Ehrhardt; B. Silbermann

    2007-01-01

    textabstractAn analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple scalar expressions λ – α, the bui

  3. One Concept and Two Narrations: The Case of the Logarithm

    Science.gov (United States)

    Hamdan, May

    2008-01-01

    Through an account of the history of exponential functions as presented in traditional calculus textbooks, I present my observations and remarks on the spiral development of the concept, and my concerns about the general presentations of the subject. In this article I emphasize how the different arrangements and sequencing of the subjects required…

  4. Generalizing a Limit Description of the Natural Logarithm

    Science.gov (United States)

    Dobbs, David E.

    2010-01-01

    If f is a continuous positive-valued function defined on the closed interval from a to x and if k[subscript 0] is greater than 0, then lim[subscript k[right arrow]0[superscript +] [integral][superscript x] [subscript a] f (t)[superscript k-k[subscript 0

  5. Graphene-coated meshes for electroactive flow control devices utilizing two antagonistic functions of repellency and permeability

    Science.gov (United States)

    Tabassian, Rassoul; Oh, Jung-Hwan; Kim, Sooyeun; Kim, Donggyu; Ryu, Seunghwa; Cho, Seung-Min; Koratkar, Nikhil; Oh, Il-Kwon

    2016-10-01

    The wettability of graphene on various substrates has been intensively investigated for practical applications including surgical and medical tools, textiles, water harvesting, self-cleaning, oil spill removal and microfluidic devices. However, most previous studies have been limited to investigating the intrinsic and passive wettability of graphene and graphene hybrid composites. Here, we report the electrowetting of graphene-coated metal meshes for use as electroactive flow control devices, utilizing two antagonistic functions, hydrophobic repellency versus liquid permeability. Graphene coating was able to prevent the thermal oxidation and corrosion problems that plague unprotected metal meshes, while also maintaining its hydrophobicity. The shapes of liquid droplets and the degree of water penetration through the graphene-coated meshes were controlled by electrical stimuli based on the functional control of hydrophobic repellency and liquid permeability. Furthermore, using the graphene-coated metal meshes, we developed two active flow devices demonstrating the dynamic locomotion of water droplets and electroactive flow switching.

  6. Utilization of modified NFL combine testing to identify functional deficits in athletes following ACL reconstruction.

    Science.gov (United States)

    Myer, Gregory D; Schmitt, Laura C; Brent, Jensen L; Ford, Kevin R; Barber Foss, Kim D; Scherer, Bradley J; Heidt, Robert S; Divine, Jon G; Hewett, Timothy E

    2011-06-01

    Case control. To use modified NFL Combine testing methodology to test for functional deficits in athletes following anterior cruciate ligament (ACL) reconstruction following return to sport. There is a need to develop objective, performance-based, on-field assessment methods designed to identify potential lower extremity performance deficits and related impairments in this population. Eighteen patients (mean ± SD age, 16.9 ± 2.1 years; height, 170.0 ± 8.7 cm; body mass, 71.9 ± 21.8 kg) who returned to their sport within a year following ACL reconstruction (95% CI: 7.8 to 11.9 months from surgery) participated (ACLR group). These individuals were asked to bring 1 or 2 teammates to serve as control participants, who were matched for sex, sport, and age (n = 20; mean ± SD age, 16.9 ± 1.1 years; height, 169.7 ± 8.4 cm; body mass, 70.1 ± 20.7 kg). Functional performance was tested using the broad jump, vertical jump, modified long shuttle, modified pro shuttle, modified agility T-test, timed hop, triple hop, single hop, and crossover hop tests. A 1-way multivariate analysis of variance (MANOVA) was used to evaluate group differences for dependent performance variables. The functional performance measurements of skills requiring bilateral involvement of both lower extremities showed no group differences between the ACLR and control groups (P>.05). An overall group difference (P = .006) was observed for the combined limb symmetry index (LSI) measures. However, the modified double-limb performance tasks (long shuttle, modified agility T-test, and pro shuttle) were not, independently, sufficiently sensitive to detect limb deficits in individuals with ACL reconstruction. Conversely, the LSI on the distance measures of the single-limb performance tasks all provided moderate to large effect sizes to differentiate between the ACLR and control groups, as the individuals who had ACL reconstruction demonstrated involved limb deficits on all measures (P.05). These findings

  7. A Protocol for Functional Assessment of Whole-Protein Saturation Mutagenesis Libraries Utilizing High-Throughput Sequencing.

    Science.gov (United States)

    Stiffler, Michael A; Subramanian, Subu K; Salinas, Victor H; Ranganathan, Rama

    2016-07-03

    Site-directed mutagenesis has long been used as a method to interrogate protein structure, function and evolution. Recent advances in massively-parallel sequencing technology have opened up the possibility of assessing the functional or fitness effects of large numbers of mutations simultaneously. Here, we present a protocol for experimentally determining the effects of all possible single amino acid mutations in a protein of interest utilizing high-throughput sequencing technology, using the 263 amino acid antibiotic resistance enzyme TEM-1 β-lactamase as an example. In this approach, a whole-protein saturation mutagenesis library is constructed by site-directed mutagenic PCR, randomizing each position individually to all possible amino acids. The library is then transformed into bacteria, and selected for the ability to confer resistance to β-lactam antibiotics. The fitness effect of each mutation is then determined by deep sequencing of the library before and after selection. Importantly, this protocol introduces methods which maximize sequencing read depth and permit the simultaneous selection of the entire mutation library, by mixing adjacent positions into groups of length accommodated by high-throughput sequencing read length and utilizing orthogonal primers to barcode each group. Representative results using this protocol are provided by assessing the fitness effects of all single amino acid mutations in TEM-1 at a clinically relevant dosage of ampicillin. The method should be easily extendable to other proteins for which a high-throughput selection assay is in place.

  8. Building efficient comparative effectiveness trials through adaptive designs, utility functions, and accrual rate optimization: finding the sweet spot.

    Science.gov (United States)

    Gajewski, Byron J; Berry, Scott M; Quintana, Melanie; Pasnoor, Mamatha; Dimachkie, Mazen; Herbelin, Laura; Barohn, Richard

    2015-03-30

    The time is right for the use of Bayesian Adaptive Designs (BAD) in comparative effectiveness trials. For example, Patient Centered Outcomes Research Institute has joined the Food and Drug Administration and National Intitutes of Health in adopting policies/guidelines encouraging their use. There are multiple aspects to BAD that need to be considered when designing a comparative effectiveness design. First, the adaptation rules can determine the expected size of the trial. Second, a utility function can be used to combine extremely important co-endpoints (e.g., efficacy and tolerability) and is a valuable tool for incorporating clinical expertise and potentially patient preference. Third, accrual rate is also very, very important. Specifically, there is a juxtaposition related to accrual and BAD. If accrual rate is too fast we never gain efficient information for adapting. If accrual rate is too slow we never finish the clinical trial. We propose methodology for finding the 'sweet spot' for BAD that addresses these as design parameters. We demonstrate the methodology on a comparative effectiveness BAD of pharmaceutical agents in cryptogenic sensory polyneuropathy. The study has five arms with two endpoints that are combined with a utility function. The accrual rate is assumed to stem from multiple sites. We perform simulations from which the composite accrual rates across sites result in various piecewise Poisson distributions as parameter inputs. We balance both average number of patients needed and average length of time to finish the study.

  9. Waste utilization of apple pomace as a source of functional ingredient in buffalo meat sausage

    Directory of Open Access Journals (Sweden)

    Kaiser Younis

    2015-12-01

    Full Text Available Apple pomace was analyzed for its proximate analysis which showed protein content of 4.50% and total dietary fiber of 62.67%. Its functional properties were also carried out which showed high water- and oil-holding capacity of 3.89 gH2O g−1 Solid and 1.92 ml g−1, respectively. Its antimicrobial activity was also found against S. aureus, P. aeruginosa, and L. monocytogenes. Further, it has shown lower in vitro glucose retardation index. Buffalo meat sausages incorporated with apple pomace powder showed high cooking yield and emulsion stability of 94.46% and 74.70, respectively, as compared to control sausage. Additionally, the dietary fiber content got enhanced with the incorporation of apple pomace powder as expected.

  10. Two Comments to Utilization of Structure Function Approach in Deep Inelastic Scattering Experiments

    CERN Document Server

    Kuraev, E A; Ilichev, A S

    2002-01-01

    The "returning to resonance" mechanism can be used to obtain the simple procedure of taking radiative corrections (RC) to deep inelastic scattering (DIS) cross sections into account in the framework of Drell-Yan picture. Iteration procedure is proposed. Kinematical region y\\to 1 can be described in the framework of Drell-Yan picture using the structure function approach. The large RC in the lowest order reflect the Sudakov form factor suppression, which can be taken into account in all orders of perturbation theory. Based on explicit calculation in two lowest orders of perturbation theory we construct the cross section in y\\to 1 region obeying renormalization group equations and including the Sudakov-like form factor suppression.

  11. Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC

    CERN Document Server

    Kolodrubetz, Daniel W; Stewart, Iain W; Tackmann, Frank J; Waalewijn, Wouter J

    2016-01-01

    To predict the jet mass spectrum at a hadron collider it is crucial to account for the resummation of logarithms between the transverse momentum of the jet and its invariant mass $m_J$. For small jet areas there are additional large logarithms of the jet radius $R$, which affect the convergence of the perturbative series. We present an analytic framework for exclusive jet production at the LHC which gives a complete description of the jet mass spectrum including realistic jet algorithms and jet vetoes. It factorizes the scales associated with $m_J$, $R$, and the jet veto, enabling in addition the systematic resummation of jet radius logarithms in the jet mass spectrum beyond leading logarithmic order. We discuss the factorization formulae for the peak and tail region of the jet mass spectrum and for small and large $R$, and the relations between the different regimes and how to combine them. Regions of experimental interest are classified which do not involve large nonglobal logarithms. We also present univer...

  12. Factorization for jet radius logarithms in jet mass spectra at the LHC

    Science.gov (United States)

    Kolodrubetz, Daniel W.; Pietrulewicz, Piotr; Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J.

    2016-12-01

    To predict the jet mass spectrum at a hadron collider it is crucial to account for the resummation of logarithms between the transverse momentum of the jet and its invariant mass m J . For small jet areas there are additional large logarithms of the jet radius R, which affect the convergence of the perturbative series. We present an analytic framework for exclusive jet production at the LHC which gives a complete description of the jet mass spectrum including realistic jet algorithms and jet vetoes. It factorizes the scales associated with m J , R, and the jet veto, enabling in addition the systematic resummation of jet radius logarithms in the jet mass spectrum beyond leading logarithmic order. We discuss the factorization formulae for the peak and tail region of the jet mass spectrum and for small and large R, and the relations between the different regimes and how to combine them. Regions of experimental interest are classified which do not involve large nonglobal logarithms. We also present universal results for nonperturbative effects and discuss various jet vetoes.

  13. Decrease in spermidine content during logarithmic phase of cell growth delays spore formation of Bacillus subtilis.

    Science.gov (United States)

    Ishii, I; Takada, H; Terao, K; Kakegawa, T; Igarashi, K; Hirose, S

    1994-11-01

    Bacillus subtilis 168M contained a large amount of spermidine during the logarithmic phase of growth, but the amount decreased drastically during the stationary phase. The extracts, prepared from B. subtilis cells harvested in the logarithmic phase, contained activity of arginine decarboxylase (ADC) rather than the activity of ornithine decarboxylase. In the presence of alpha-difluoromethylarginine (DFMA), a specific and irreversible inhibitor of ADC, the amount of spermidine in B. subtilis during the logarithmic phase decreased to about 25% of the control cells. Under these conditions, spore formation of B. subtilis 168M delayed greatly without significant inhibition of cell growth. The decrease in spermidine content in the logarithmic phase rather than in the stationary phase was involved in the delay of sporulation. Electron microscopy of cells at 24 hrs. of culture confirmed the delay of spore formation by the decrease of spermidine content. Furthermore, the delay of sporulation was negated by the addition of spermidine. These data suggest that a large amount of spermidine existing during the logarithmic phase plays an important role in the sporulation of B. subtilis.

  14. An efficient method for calculation of dynamic logarithmic gains in biochemical systems theory.

    Science.gov (United States)

    Shiraishi, Fumihide; Hatoh, Yuji; Irie, Toshinori

    2005-05-07

    Biochemical systems theory (BST) characterizes a given biochemical system based on the logarithmic gains, rate-constant sensitivities and kinetic-order sensitivities defined at a steady state. This paper describes an efficient method for calculation of the time courses of logarithmic gains, i.e. dynamic logarithmic gains L(Xi, Xj; t), which expresses the percentage change in the value of a dependent variable Xi at a time t in response to an infinitesimal percentage change in the value of an independent variable Xj at t=0. In this method, one first recasts the ordinary differential equations for the dependent variables into an exact canonical nonlinear representation (GMA system) through appropriate transformations of variables. Owing to the structured mathematical form of this representation, the recast system can be fully described by a set of numeric parameters, and the differential equations for the dynamic logarithmic gains can be set up automatically without resource to computer algebra. A simple general-purpose computer program can thus be written that requires only the relevant numeric parameters as input to calculate the time courses of the variables and of the dynamic logarithmic gains for both concentrations and fluxes. Unlike other methods, the proposed method does not require to derive any expression for the partial differentiation of flux expressions with respect to each independent variable. The proposed method has been applied to two kinds of reaction models to elucidate its usefulness.

  15. Factorization for jet radius logarithms in jet mass spectra at the LHC

    Energy Technology Data Exchange (ETDEWEB)

    Kolodrubetz, Daniel W. [Center for Theoretical Physics, Massachusetts Institute of Technology,Cambridge, MA 02139 (United States); Pietrulewicz, Piotr [Theory Group, Deutsches Elektronen-Synchrotron (DESY),Notkestraße 85, D-22607 Hamburg (Germany); Stewart, Iain W. [Center for Theoretical Physics, Massachusetts Institute of Technology,Cambridge, MA 02139 (United States); Tackmann, Frank J. [Theory Group, Deutsches Elektronen-Synchrotron (DESY),Notkestraße 85, D-22607 Hamburg (Germany); Waalewijn, Wouter J. [ITFA, University of Amsterdam,Science Park 904, 1018 XE, Amsterdam (Netherlands); Nikhef, Theory Group,Science Park 105, 1098 XG, Amsterdam (Netherlands)

    2016-12-14

    To predict the jet mass spectrum at a hadron collider it is crucial to account for the resummation of logarithms between the transverse momentum of the jet and its invariant mass m{sub J}. For small jet areas there are additional large logarithms of the jet radius R, which affect the convergence of the perturbative series. We present an analytic framework for exclusive jet production at the LHC which gives a complete description of the jet mass spectrum including realistic jet algorithms and jet vetoes. It factorizes the scales associated with m{sub J}, R, and the jet veto, enabling in addition the systematic resummation of jet radius logarithms in the jet mass spectrum beyond leading logarithmic order. We discuss the factorization formulae for the peak and tail region of the jet mass spectrum and for small and large R, and the relations between the different regimes and how to combine them. Regions of experimental interest are classified which do not involve large nonglobal logarithms. We also present universal results for nonperturbative effects and discuss various jet vetoes.

  16. Estimation of a Valuation Function for a Diabetes Mellitus-Specific Preference-Based Measure of Health: The Diabetes Utility Index®

    OpenAIRE

    Murali Sundaram; Smith, Michael J.; Revicki, Dennis A.; Lesley-Ann Miller; Suresh Madhavan; Gerry Hobbs

    2010-01-01

    Background: Preference-based measures of health (PBMH) provide 'preference' or 'utility' weights that enable the calculation of QALYs for the economic evaluations of interventions. The Diabetes Utility Index (DUI) was developed as a brief, self-administered, diabetes mellitus-specific PBMH that can efficiently estimate patient-derived health state utilities. Objective: To describe the development of the valuation function for the DUI, and to report the validation results of the valuation func...

  17. Refined repetitive sequence searches utilizing a fast hash function and cross species information retrievals

    Directory of Open Access Journals (Sweden)

    Reneker Jeff

    2005-05-01

    Full Text Available Abstract Background Searching for small tandem/disperse repetitive DNA sequences streamlines many biomedical research processes. For instance, whole genomic array analysis in yeast has revealed 22 PHO-regulated genes. The promoter regions of all but one of them contain at least one of the two core Pho4p binding sites, CACGTG and CACGTT. In humans, microsatellites play a role in a number of rare neurodegenerative diseases such as spinocerebellar ataxia type 1 (SCA1. SCA1 is a hereditary neurodegenerative disease caused by an expanded CAG repeat in the coding sequence of the gene. In bacterial pathogens, microsatellites are proposed to regulate expression of some virulence factors. For example, bacteria commonly generate intra-strain diversity through phase variation which is strongly associated with virulence determinants. A recent analysis of the complete sequences of the Helicobacter pylori strains 26695 and J99 has identified 46 putative phase-variable genes among the two genomes through their association with homopolymeric tracts and dinucleotide repeats. Life scientists are increasingly interested in studying the function of small sequences of DNA. However, current search algorithms often generate thousands of matches – most of which are irrelevant to the researcher. Results We present our hash function as well as our search algorithm to locate small sequences of DNA within multiple genomes. Our system applies information retrieval algorithms to discover knowledge of cross-species conservation of repeat sequences. We discuss our incorporation of the Gene Ontology (GO database into these algorithms. We conduct an exhaustive time analysis of our system for various repetitive sequence lengths. For instance, a search for eight bases of sequence within 3.224 GBases on 49 different chromosomes takes 1.147 seconds on average. To illustrate the relevance of the search results, we conduct a search with and without added annotation terms for the

  18. Utilization of inherent miRNAs in functional analyses of Toxoplasma gondii genes.

    Science.gov (United States)

    Crater, Anna K; Manni, Emad; Ananvoranich, Sirinart

    2015-01-01

    MicroRNAs (miRNAs) are crucial genetic effectors partaking in numerous mechanisms of gene regulation in eukaryotic organisms. Recent discoveries of miRNA in Toxoplasma gondii, an intracellular obligate parasite of the phylum Apicomplexa, suggested possible roles of T. gondii miRNAs (Tg-miRNAs) in the post-transcriptional gene regulation and in the cell biology of the parasite. To gain a better understanding of the involvement of Tg-miRNAs in regulating the parasite gene expression, a dual luciferase reporter system was used in the examination and evaluation of the effects of endogenous Tg-miRNAs, their mimics and inhibitors. A Renilla luciferase (Rnluc) transcript was engineered to carry independent binding sites of two abundant species, namely Tg-miR-60a and Tg-miR-4a, so that the expression of Rnluc was silenced in a sequence specific manner by Tg-miR-60a and Tg-miR-4a. Notably, Tg-miR-60a, but not Tg-miR-4a, caused the levels of Rnluc transcripts to decrease. These findings strongly suggested that T. gondii employs the Tg-miRNA species-specific mode of silencing actions: transcript degradation by Tg-miR-60a, and translational suppression by Tg-miR-4a. Herein we developed a genetic system that exploits and directs the most abundant Tg-miR-60a for loss-of-function analyses in T. gondii. As a proof of principle, we showed that when the binding sites for Tg-miR-60a were introduced into the parasite transcripts via homologous recombination at the locus of (i) DEAD-box RNA helicase (TgHoDI), or (ii) lactate dehydrogenase isoform 1 (TgLDH1), the expression levels of the selected genes can be altered. It was thus proven that inherit Tg-miR-60a could be directed and used to assist in the loss-of-function analyses.

  19. A Frame of Intrusion Detection Learning System Utilizing Radial Basis Function

    Directory of Open Access Journals (Sweden)

    S.Selvakani Kandeeban

    2012-02-01

    Full Text Available The process of monitoring the events that occur in a computer system or network and analyzing them for signs of intrusion is known as Intrusion Detection System (IDS. Detection ability of most of the IDS are limited to known attack patterns; hence new signatures for novel attacks can be troublesome, time consuming and has high false alarm rate. To achieve this, system was trained and tested with known and unknown patterns with the help of Radial Basis Functions (RBF. KDD 99 IDE (Knowledge Discovery in Databases Intrusion Detection Evaluation data set was used for training and testing. The IDS is supposed to distinguish normal traffic from intrusions and to classify them into four classes: DoS, probe, R2L and U2R. The dataset is quite unbalanced, with 79% of the traffic belonging to the DoS category, 19% is normal traffic and less than 2% constitute the other three categories. The usefulness of the data set used for experimental evaluation has been demonstrated. The different metrics available for the evaluation of IDS were also introduced. Experimental evaluations were shown that the proposed methods were having the capacity of detecting a significant percentage ofrate and new attacks.

  20. Empirical Green's Function Approach for Utilizing Millisecond Focal and Pupil Plane Telemetry in Exoplanet Imaging

    CERN Document Server

    Frazin, Richard A

    2016-01-01

    Millisecond focal plane telemetry is now becoming practical due to a new generation of near-IR detector arrays with sub-electron noise that are capable of kHz readout rates. Combining these data with those simultaneously available from the wavefront sensing system allows the possibility of self-consistently determining the optical aberrations (the cause of quasi-static speckles) and the planetary image. This approach may be especially advantageous for finding planets within about 3 $\\lambda / D$ of the star where differential imaging is ineffective. As shown in a recent article by the author (J. Opt. Soc. Am. A., 33, 712, 2016), one must account for unknown aberrations in several non-conjugate planes of the optical system, which, in turn, requires ability to computational propagate the field between these planes. These computations are likely to be difficult to implement and expensive. Here, a far more convenient alternative based on empirical Green's functions is provided. It is shown that the empirical Gree...

  1. DTI measures track and predict motor function outcomes in stroke rehabilitation utilizing BCI technology.

    Science.gov (United States)

    Song, Jie; Nair, Veena A; Young, Brittany M; Walton, Leo M; Nigogosyan, Zack; Remsik, Alexander; Tyler, Mitchell E; Farrar-Edwards, Dorothy; Caldera, Kristin E; Sattin, Justin A; Williams, Justin C; Prabhakaran, Vivek

    2015-01-01

    Tracking and predicting motor outcomes is important in determining effective stroke rehabilitation strategies. Diffusion tensor imaging (DTI) allows for evaluation of the underlying structural integrity of brain white matter tracts and may serve as a potential biomarker for tracking and predicting motor recovery. In this study, we examined the longitudinal relationship between DTI measures of the posterior limb of the internal capsule (PLIC) and upper-limb motor outcomes in 13 stroke patients (median 20-month post-stroke) who completed up to 15 sessions of intervention using brain-computer interface (BCI) technology. Patients' upper-limb motor outcomes and PLIC DTI measures including fractional anisotropy (FA), axial diffusivity (AD), radial diffusivity (RD), and mean diffusivity (MD) were assessed longitudinally at four time points: pre-, mid-, immediately post- and 1-month-post intervention. DTI measures and ratios of each DTI measure comparing the ipsilesional and contralesional PLIC were correlated with patients' motor outcomes to examine the relationship between structural integrity of the PLIC and patients' motor recovery. We found that lower diffusivity and higher FA values of the ipsilesional PLIC were significantly correlated with better upper-limb motor function. Baseline DTI ratios were significantly correlated with motor outcomes measured immediately post and 1-month-post BCI interventions. A few patients achieved improvements in motor recovery meeting the minimum clinically important difference (MCID). These findings suggest that upper-limb motor recovery in stroke patients receiving BCI interventions relates to the microstructural status of the PLIC. Lower diffusivity and higher FA measures of the ipsilesional PLIC contribute toward better motor recovery in the stroke-affected upper-limb. DTI-derived measures may be a clinically useful biomarker in tracking and predicting motor recovery in stroke patients receiving BCI interventions.

  2. Logarithmic unification from symmetries enhanced in the sub-millimeter infrared

    Energy Technology Data Exchange (ETDEWEB)

    Arkani-Hamed, Nima; Dimopoulos, Savas; March-Russell, John

    1999-08-21

    In theories with TeV string scale and sub-millimeter extra dimensions the attractive picture of logarithmic gauge coupling unification at 10{sup 16} GeV is seemingly destroyed. In this paper we argue to the contrary that logarithmic unification can occur in such theories. The rationale for unification is no longer that a gauge symmetry is restored at short distances, but rather that a geometric symmetry is restored at large distances in the bulk away from our 3-brane. The apparent ''running'' of the gauge couplings to energies far above the string scale actually arises from the logarithmic variation of classical fields in (sets of) two large transverse dimensions. We present a number of N = 2 and N = 1 supersymmetric D-brane constructions illustrating this picture for unification.

  3. Large Logarithms in the Beam Normal Spin Asymmetry of Elastic Electron--Proton Scattering

    Energy Technology Data Exchange (ETDEWEB)

    Andrei Afanasev; Mykola Merenkov

    2004-06-01

    We study a parity-conserving single-spin beam asymmetry of elastic electron-proton scattering induced by an absorptive part of the two-photon exchange amplitude. It is demonstrated that excitation of inelastic hadronic intermediate states by the consecutive exchange of two photons leads to logarithmic and double-logarithmic enhancement due to contributions of hard collinear quasi-real photons. The asymmetry at small electron scattering angles is expressed in terms of the total photoproduction cross section on the proton, and is predicted to reach the magnitude of 20-30 parts per million. At these conditions and fixed 4-momentum transfers, the asymmetry is rising logarithmically with increasing electron beam energy, following the high-energy diffractive behavior of total photoproduction cross section on the proton.

  4. Leading logarithms in the anomalous sector of two-flavour QCD

    Energy Technology Data Exchange (ETDEWEB)

    Bijnens, Johan [Department of Astronomy and Theoretical Physics, Lund University, Soelvegatan 14A, S 223 62 Lund (Sweden); Kampf, Karol [Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, 18000 Prague (Czech Republic); Department of Astronomy and Theoretical Physics, Lund University, Soelvegatan 14A, S 223 62 Lund (Sweden); Lanz, Stefan, E-mail: stefan.lanz@thep.lu.se [Department of Astronomy and Theoretical Physics, Lund University, Soelvegatan 14A, S 223 62 Lund (Sweden)

    2012-07-11

    We add the Wess-Zumino-Witten term to the N=3 massive nonlinear sigma model and study the leading logarithms in the anomalous sector. We obtain the leading logarithms to six loops for {pi}{sup 0}{yields}{gamma}{sup Low-Asterisk }{gamma}{sup Low-Asterisk} and to five loops for {gamma}{sup Low-Asterisk }{pi}{pi}{pi}. In addition we extend the earlier work on the mass and decay constant to six loops and the vector form factor to five loops. We present numerical results for the anomalous processes and the vector form factor. In all cases the series are found to converge rapidly.

  5. A gray-natural logarithm ratio bilateral filtering method for image processing

    Institute of Scientific and Technical Information of China (English)

    Guanan Chen; Kuntao Yang; Rong Chen; Zhiming Xie

    2008-01-01

    A new method based on gray-natural logarithm ratio bilateral filtering is presented for image smoothing in this work. A new gray-natural logarithm ratio range filter kernel, leading to adaptive magnitude from image gray distinction information, is pointed out for the bilateral filtering. The new method can not only well restrain noise but also keep much more weak edges and details of an image, and preserve the original color transition of color images. Experimental results show the effectiveness for image denoising with our method.

  6. Discrete logarithm computations over finite fields using Reed-Solomon codes

    OpenAIRE

    Augot, Daniel; Morain, François

    2012-01-01

    Cheng and Wan have related the decoding of Reed-Solomon codes to the computation of discrete logarithms over finite fields, with the aim of proving the hardness of their decoding. In this work, we experiment with solving the discrete logarithm over GF(q^h) using Reed-Solomon decoding. For fixed h and q going to infinity, we introduce an algorithm (RSDL) needing O~(h! q^2) operations over GF(q), operating on a q x q matrix with (h+2) q non-zero coefficients. We give faster variants including a...

  7. P -V criticality of logarithm-corrected dyonic charged AdS black holes

    Science.gov (United States)

    Sadeghi, J.; Pourhassan, B.; Rostami, M.

    2016-09-01

    In this paper, we consider a dyonic charged anti-de Sitter black hole, which is a holographic dual of a van der Waals fluid. We use logarithm-corrected entropy and study thermodynamics of the black hole and show that holographic picture is still valid. Critical behaviors and stability are also discussed. Logarithmic corrections arises due to thermal fluctuations, which are important when the size of black hole is small. So, thermal fluctuations are interpreted as a quantum effect. It means that we can see the quantum effect of a black hole, which is a gravitational system.

  8. Atmospheric point discharge current measurements using a\\ud temperature-compensated logarithmic current amplifier

    OpenAIRE

    Marlton, Graeme; Harrison, R. Giles; Nicoll, Keri A.

    2013-01-01

    Measurements of atmospheric corona currents have been made for over 100 years to indicate the atmospheric electric field. Corona currents vary substantially, in polarity and in magnitude. The instrument described here uses a sharp point sensor connected to a temperature compensated bi-polar\\ud logarithmic current amplifier. Calibrations over a range of currents from ±10 fA to ±3 μA and across ±20 ◦C show it has an excellent logarithmic response over six orders of magnitude from 1 pA to 1 μA i...

  9. Multistep Lattice-Voxel method utilizing lattice function for Monte-Carlo treatment planning with pixel based voxel model.

    Science.gov (United States)

    Kumada, H; Saito, K; Nakamura, T; Sakae, T; Sakurai, H; Matsumura, A; Ono, K

    2011-12-01

    Treatment planning for boron neutron capture therapy generally utilizes Monte-Carlo methods for calculation of the dose distribution. The new treatment planning system JCDS-FX employs the multi-purpose Monte-Carlo code PHITS to calculate the dose distribution. JCDS-FX allows to build a precise voxel model consisting of pixel based voxel cells in the scale of 0.4×0.4×2.0 mm(3) voxel in order to perform high-accuracy dose estimation, e.g. for the purpose of calculating the dose distribution in a human body. However, the miniaturization of the voxel size increases calculation time considerably. The aim of this study is to investigate sophisticated modeling methods which can perform Monte-Carlo calculations for human geometry efficiently. Thus, we devised a new voxel modeling method "Multistep Lattice-Voxel method," which can configure a voxel model that combines different voxel sizes by utilizing the lattice function over and over. To verify the performance of the calculation with the modeling method, several calculations for human geometry were carried out. The results demonstrated that the Multistep Lattice-Voxel method enabled the precise voxel model to reduce calculation time substantially while keeping the high-accuracy of dose estimation.

  10. Mean-Variance portfolio optimization by using non constant mean and volatility based on the negative exponential utility function

    Science.gov (United States)

    Soeryana, Endang; Halim, Nurfadhlina Bt Abdul; Sukono, Rusyaman, Endang; Supian, Sudradjat

    2017-03-01

    Investments in stocks investors are also faced with the issue of risk, due to daily price of stock also fluctuate. For minimize the level of risk, investors usually forming an investment portfolio. Establishment of a portfolio consisting of several stocks are intended to get the optimal composition of the investment portfolio. This paper discussed about optimizing investment portfolio of Mean-Variance to stocks by using mean and volatility is not constant based on the Negative Exponential Utility Function. Non constant mean analyzed using models Autoregressive Moving Average (ARMA), while non constant volatility models are analyzed using the Generalized Autoregressive Conditional heteroscedastic (GARCH). Optimization process is performed by using the Lagrangian multiplier technique. As a numerical illustration, the method is used to analyze some stocks in Indonesia. The expected result is to get the proportion of investment in each stock analyzed

  11. HARDI DATA DENOISING USING VECTORIAL TOTAL VARIATION AND LOGARITHMIC BARRIER

    Science.gov (United States)

    Kim, Yunho; Thompson, Paul M.; Vese, Luminita A.

    2010-01-01

    In this work, we wish to denoise HARDI (High Angular Resolution Diffusion Imaging) data arising in medical brain imaging. Diffusion imaging is a relatively new and powerful method to measure the three-dimensional profile of water diffusion at each point in the brain. These images can be used to reconstruct fiber directions and pathways in the living brain, providing detailed maps of fiber integrity and connectivity. HARDI data is a powerful new extension of diffusion imaging, which goes beyond the diffusion tensor imaging (DTI) model: mathematically, intensity data is given at every voxel and at any direction on the sphere. Unfortunately, HARDI data is usually highly contaminated with noise, depending on the b-value which is a tuning parameter pre-selected to collect the data. Larger b-values help to collect more accurate information in terms of measuring diffusivity, but more noise is generated by many factors as well. So large b-values are preferred, if we can satisfactorily reduce the noise without losing the data structure. Here we propose two variational methods to denoise HARDI data. The first one directly denoises the collected data S, while the second one denoises the so-called sADC (spherical Apparent Diffusion Coefficient), a field of radial functions derived from the data. These two quantities are related by an equation of the form S = SSexp (−b · sADC) (in the noise-free case). By applying these two different models, we will be able to determine which quantity will most accurately preserve data structure after denoising. The theoretical analysis of the proposed models is presented, together with experimental results and comparisons for denoising synthetic and real HARDI data. PMID:20802839

  12. Parameterization of NMR relaxation curves in terms of logarithmic moments of the relaxation time distribution

    Science.gov (United States)

    Petrov, Oleg V.; Stapf, Siegfried

    2017-06-01

    This work addresses the problem of a compact and easily comparable representation of multi-exponential relaxation data. It is often convenient to describe such data in a few parameters, all being of physical significance and easy to interpret, and in such a way that enables a model-free comparison between different groups of samples. Logarithmic moments (LMs) of the relaxation time constitute a set of parameters which are related to the characteristic relaxation time on the log-scale, the width and the asymmetry of an underlying distribution of exponentials. On the other hand, the calculation of LMs does not require knowing the actual distribution function and is reduced to a numerical integration of original data. The performance of this method has been tested on both synthetic and experimental NMR relaxation data which differ in a signal-to-noise ratio, the sampling range and the sampling rate. The calculation of two lower-order LMs, the log-mean time and the log-variance, has proved robust against deficiencies of the experiment such as scattered data point and incomplete sampling. One may consider using them as such to monitor formation of a heterogeneous structure, e.g., in phase separation, vitrification, polymerization, hydration, aging, contrast agent propagation processes. It may also assist in interpreting frequency and temperature dependences of relaxation, revealing a crossover from slow to fast exchange between populations. The third LM was found to be a less reliable quantity due to its susceptibility to the noise and must be used with caution.

  13. Leading large-x logarithms of the quark–gluon contributions to inclusive Higgs-boson and lepton-pair production

    Directory of Open Access Journals (Sweden)

    N.A. Lo Presti

    2014-10-01

    Full Text Available We present all-order expressions for the leading double-logarithmic threshold contributions to the quark–gluon coefficient functions for inclusive Higgs-boson production in the heavy top-quark limit and for Drell–Yan lepton-pair production. These results have been derived using the structure of the unfactorized cross sections in dimensional regularization and the large-x resummation of the gluon–quark and quark–gluon splitting functions. The resummed coefficient functions, which are identical up to colour factor replacements, are similar to their counterparts in deep-inelastic scattering but slightly more complicated.

  14. Novel Logarithmic Active Pixel Sensor with High Dynamic Range and High Output Swing

    Institute of Scientific and Technical Information of China (English)

    FU Xian-song; YAO Su-ying; YUAN Yi-dong; XU Jiang-tao; DING Ke; YAN Kun-shan

    2008-01-01

    The logarithmic response complementary metal oxide semiconductor(CMOS) image sensor provides a wide dynamic range, but its drawback is the lack of simple fixed pattern noise(FPN) cancellation scheme. Designed is a novel logarithmic active pixel sensor(APS) with high dynamic range and high output swing. Firstly, the operation principle of mixed-model APS is introduced. The pixel can work in three operation modes by choosing the proper control signals. Then, FPN sources of logarithmic APS are analyzed, and double-sampled technique is implemented to reduce FPN. Finally, according to the simulation results, layout is designed and has passed design rule check(DRC), electronic rule check(ERC) and layout versus schematic(LVS) verifications, and the post-simulation results are basically in agreement with the simulation results. Dynamic range of the new logarithmic APS can reach about 140 dB; and the output swing is about 750 mV. Results show that by using double sampled technique, most FPN is eliminated and the dynamic range is enhanced.

  15. Double-logarithmic asymptotics of the magnetic form factor of electron and quark

    CERN Document Server

    Ermolaev, B I

    1999-01-01

    The asymptotical behaviour of the magnetic form factor for electron and quark is obtained in the double-logarithmic approximation for the Sudakov kinematics, i.e. for the case when the value of the transfer momentum is much greater than the mass of the particle.

  16. Double-logarithmic asymptotics of the electromagnetic form factors of the electron and quark

    CERN Document Server

    Ermolaev, B I

    2000-01-01

    The asymptotic behaviour of the electromagnetic form factors of the electron and quark is obtained in the double-logarithmic approximation for Sudakov kinematics, i.e. for the case that the value of the momentum transfer is much greater than the mass of the particle.

  17. Individualized Math Problems in Logarithms. Oregon Vo-Tech Mathematics Problem Sets.

    Science.gov (United States)

    Cosler, Norma, Ed.

    THis is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. This volume includes problems involving logarithms, exponents, and…

  18. Sharing Teaching Ideas: A New Approach to Decimal Division; Approximating Logarithms Intuitively; Writing Equations Containing Radicals.

    Science.gov (United States)

    May, Beverly A.; And Others

    1981-01-01

    Teaching ideas related to the instruction of decimal division as the opposite of multiplication, an approach to approximating logarithms that help reveal their properties, and the simple creation of algebraic equations with radical expressions for use as exercises and test questions are presented. (MP)

  19. A New Inexactness Criterion for Approximate Logarithmic-Quadratic Proximal Methods

    Institute of Scientific and Technical Information of China (English)

    2006-01-01

    Recently, a class of logarithmic-quadratic proximal (LQP) methods was introduced by Auslender, Teboulle and Ben-Tiba. The inexact versions of these methods solve the sub-problems in each iteration approximately. In this paper, we present a practical inexactness criterion for the inexact version of these methods.

  20. Design Research in the Netherlands: Introducing Logarithms Using Realistic Mathematics Education

    Science.gov (United States)

    Webb, David C.; van der Kooij, Henk; Geist, Monica R.

    2011-01-01

    This article describes Realistic Mathematics Education (RME), a design theory for mathematics education proposed by Hans Freudenthal and developed over 40 years of developmental research at the Freudenthal Institute for Science and Mathematics Education in the Netherlands. Activities from a unit to develop student understanding of logarithms are…

  1. A NONCLASSICAL LAW OF ITERATED LOGARITHM FOR NEGATIVELY ASSOCIATED RANDOM VARIABLES

    Institute of Scientific and Technical Information of China (English)

    JiangYe

    2003-01-01

    A nonclassical law of iterated logarithm that holds for a stationary negatively associated sequence of random variables with finite variance is proved in this paper.The proof is based on a Rosenthal type maximal inequality and the subsequence method.This result extends the work of Klesov,Rosalsky(2001)and Shao.Su(1999).

  2. Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles

    CERN Document Server

    Ivashkovich, Sergey

    2011-01-01

    We prove an extension theorem for roots and logarithms of holomorphic line bundles across strictly pseudoconcave boundaries: they extend in all cases except one, when dimension and Morse index of a critical point is two. In that case we give an explicit description of obstructions to the extension.

  3. Generalized Second Law of Thermodynamics in Wormhole Geometry with Logarithmic Correction

    Institute of Scientific and Technical Information of China (English)

    Faiz-ur-Rahman; Salahuddin; M. Akbar

    2011-01-01

    We construct various cases for validity of the generalized second law (GSL) of thermodynamics by assuming the logarithmic correction to the horizon entropy of an evolving wormhole.It is shown that the GSL is always respected for α0 ≤ 0,whereas for αo 〉 0 the GSL is respected only if π(rr~2)A+/(h) 〈 α.

  4. Quasi-logarithmic spacing law in dewetting patterns from the drying meniscus of a polymer solution

    CERN Document Server

    Chen, Yong-Jun; Mahara, Hitoshi; Yamaguchi, Tomohiko

    2012-01-01

    We report on a periodic precipitation pattern emerged from a drying meniscus via evaporation of a polystyrene solution in a Petri dish. It appeared a quasi-logarithmic spacing relation in the pattern as a result of stick-slip motion of the contact line towards the wall. A model based on the dynamics of the evaporating meniscus is proposed.

  5. [Ophthalmologic reading charts : Part 2: Current logarithmically scaled reading charts].

    Science.gov (United States)

    Radner, W

    2016-12-01

    To analyze currently available reading charts regarding print size, logarithmic print size progression, and the background of test-item standardization. For the present study, the following logarithmically scaled reading charts were investigated using a measuring microscope (iNexis VMA 2520; Nikon, Tokyo): Eschenbach, Zeiss, OCULUS, MNREAD (Minnesota Near Reading Test), Colenbrander, and RADNER. Calculations were made according to EN-ISO 8596 and the International Research Council recommendations. Modern reading charts and cards exhibit a logarithmic progression of print sizes. The RADNER reading charts comprise four different cards with standardized test items (sentence optotypes), a well-defined stop criterion, accurate letter sizes, and a high print quality. Numbers and Landolt rings are also given in the booklet. The OCULUS cards have currently been reissued according to recent standards and also exhibit a high print quality. In addition to letters, numbers, Landolt rings, and examples taken from a timetable and the telephone book, sheet music is also offered. The Colenbrander cards use short sentences of 44 characters, including spaces, and exhibit inaccuracy at smaller letter sizes, as do the MNREAD cards. The MNREAD cards use sentences of 60 characters, including spaces, and have a high print quality. Modern reading charts show that international standards can be achieved with test items similar to optotypes, by using recent technology and developing new concepts of test-item standardization. Accurate print sizes, high print quality, and a logarithmic progression should become the minimum requirements for reading charts and reading cards in ophthalmology.

  6. Generalized second law of thermodynamics for FRW cosmology with logarithmic correction

    CERN Document Server

    Sadjadi, H Mohseni

    2010-01-01

    By considering the logarithmic correction to the horizon entropy, the validity of the generalized second law (GSL) of thermodynamics in a spatially flat Friedman-Robertson-Walker (FRW) spacetime is discussed. We assume that the Universe is composed of several interacting components. The model is investigated in the context of thermal equilibrium and non-equilibrium situations.

  7. Resummation of Jet Veto Logarithms at N$^3$LL$_a$ + NNLO for $W^+ W^-$ production at the LHC

    CERN Document Server

    Dawson, S; Li, Ye; Ramani, H; Zeng, Mao

    2016-01-01

    We compute the resummed on-shell $W^+ W^-$ production cross section under a jet-veto at the LHC at the approximate N$^3$LL+NNLO order. Differential NNLO cross sections are obtained from an implementation of $q_T$ subtraction in Sherpa. The two-loop virtual corrections to the $q \\bar q \\rightarrow W^+ W^-$ amplitude, used in both fixed order and resummation predictions, are extracted from the public code qqvvamp. We perform resummation using soft collinear effective theory (SCET), with approximate beam functions where only the logarithmic terms are included at two-loop. In addition to scale uncertainties from the hard matching scale and the factorization scale, rapidity scale variations are obtained within the analytic regulator approach. Our resummation results show a decrease in jet-veto cross-section compared to NNLO fixed order predictions, with reduced scale uncertainties compared to NNLL+NLO resummation predictions.

  8. Generalized logarithmic scaling for high-order moments of the longitudinal velocity component explained by the random sweeping decorrelation hypothesis

    Science.gov (United States)

    Katul, Gabriel G.; Banerjee, Tirtha; Cava, Daniela; Germano, Massimo; Porporato, Amilcare

    2016-09-01

    Expressions for the logarithmic variations of the normalized turbulent longitudinal velocity (u2p ¯ +) 1 /p with normalized distance z/δ from a boundary for high-order (p) moments in the intermediate region of wall bounded flows characterized by thickness δ are derived. The ansatz that ( u2p¯ +) 1 /pvariationin ln(z/δ) originates from a compound effect of random sweeping and -1 power-law scaling in the longitudinal velocity spectrum Eu(k) is discussed, where k is the wavenumber. Using velocity time series sampled above a uniform ice sheet, an Eu(k) ˜ k-1 scaling is confirmed for kz 1. The data were then used to analyze assumptions required for the utility of the random sweeping decorrelation (RSD) hypothesis connecting the k-1 power-law with log-scaling in (u2p ¯ +) 1 /p. It has been found out that while the RSD hypothesis is operationally applicable to scales associated with attached eddies bounded by kz 1, significant interactions among high-order turbulent velocity and velocity increments lead to the conclusion that the RSD hypothesis cannot be exactly valid. Its operational utility stems from the observations that some of the interaction terms among the high-order velocity and velocity increments act in opposite directions thereby canceling their additive effects in RSD.

  9. Reliability and utility of the Acute Care Index of Function in intensive care patients: An observational study.

    Science.gov (United States)

    Bissett, Bernie; Green, Margot; Marzano, Vince; Byrne, Susannah; Leditschke, I Anne; Neeman, Teresa; Boots, Robert; Paratz, Jennifer

    2016-01-01

    To establish the inter-rater reliability of the Acute Care Index of Function (ACIF) in intensive care unit (ICU) patients and determine whether ACIF scores have predictive utility beyond ICU discharge. Accurate and reliable measures of physical function are required to describe the recovery trajectory of ICU survivors. The clinimetric properties of the ACIF are yet to be established in ICU patients. Prospective observational study in a single tertiary ICU. ACIF scores were recorded independently by 2 physiotherapists across a convenience sample of 100 physiotherapy assessments, and at ICU discharge. Inter-rater reliability of total ACIF scores was very strong (ICC = 0.94). ACIF ICU discharge predicted hospital discharge to a destination other than home (area under ROC = 0.79, 95% CI 0.64-0.89) (sensitivity 0.78). The ACIF has excellent inter-rater reliability in ICU patients and scores at ICU discharge predict the likelihood of discharge home. ACTRN12614001008617 (September 18 2014). Copyright © 2016 Elsevier Inc. All rights reserved.

  10. Oral intake of encapsulated dried ginger root powder hardly affects human thermoregulatory function, but appears to facilitate fat utilization

    Science.gov (United States)

    Miyamoto, Mayumi; Matsuzaki, Kentaro; Katakura, Masanori; Hara, Toshiko; Tanabe, Yoko; Shido, Osamu

    2015-10-01

    The present study investigated the impact of a single oral ingestion of ginger on thermoregulatory function and fat oxidation in humans. Morning and afternoon oral intake of 1.0 g dried ginger root powder did not alter rectal temperature, skin blood flow, O2 consumption, CO2 production, and thermal sensation and comfort, or induce sweating at an ambient temperature of 28 °C. Ginger ingestion had no effect on threshold temperatures for skin blood flow or thermal sweating. Serum levels of free fatty acids were significantly elevated at 120 min after ginger ingestion in both the morning and afternoon. Morning ginger intake significantly reduced respiratory exchange ratios and elevated fat oxidation by 13.5 % at 120 min after ingestion. This was not the case in the afternoon. These results suggest that the effect of a single oral ginger administration on the peripheral and central thermoregulatory function is miniscule, but does facilitate fat utilization although the timing of the administration may be relevant.

  11. Functional characterization of a gene locus from an uncultured gut Bacteroides conferring xylo-oligosaccharides utilization to Escherichia coli.

    Science.gov (United States)

    Tauzin, Alexandra S; Laville, Elisabeth; Xiao, Yao; Nouaille, Sébastien; Le Bourgeois, Pascal; Heux, Stéphanie; Portais, Jean-Charles; Monsan, Pierre; Martens, Eric C; Potocki-Veronese, Gabrielle; Bordes, Florence

    2016-11-01

    In prominent gut Bacteroides strains, sophisticated strategies have been evolved to achieve the complete degradation of dietary polysaccharides such as xylan, which is one of the major components of the plant cell wall. Polysaccharide Utilization Loci (PULs) consist of gene clusters encoding different proteins with a vast arsenal of functions, including carbohydrate binding, transport and hydrolysis. Transport is often attributed to TonB-dependent transporters, although major facilitator superfamily (MFS) transporters have also been identified in some PULs. However, until now, few of these transporters have been biochemically characterized. Here, we targeted a PUL-like system from an uncultivated Bacteroides species that is highly prevalent in the human gut metagenome. It encodes three glycoside-hydrolases specific for xylo-oligosaccharides, a SusC/SusD tandem homolog and a MFS transporter. We combined PUL rational engineering, metabolic and transcriptional analysis in Escherichia coli to functionally characterize this genomic locus. We demonstrated that the SusC and the MFS transporters are specific for internalization of linear xylo-oligosaccharides of polymerization degree up to 3 and 4 respectively. These results were strengthened by the study of growth dynamics and transcriptional analyses in response to XOS induction of the PUL in the native strain, Bacteroides vulgatus. © 2016 The Authors. Molecular Microbiology Published by John Wiley & Sons Ltd.

  12. A physical function test for use in the intensive care unit: validity, responsiveness, and predictive utility of the physical function ICU test (scored).

    Science.gov (United States)

    Denehy, Linda; de Morton, Natalie A; Skinner, Elizabeth H; Edbrooke, Lara; Haines, Kimberley; Warrillow, Stephen; Berney, Sue

    2013-12-01

    Several tests have recently been developed to measure changes in patient strength and functional outcomes in the intensive care unit (ICU). The original Physical Function ICU Test (PFIT) demonstrates reliability and sensitivity. The aims of this study were to further develop the original PFIT, to derive an interval score (the PFIT-s), and to test the clinimetric properties of the PFIT-s. A nested cohort study was conducted. One hundred forty-four and 116 participants performed the PFIT at ICU admission and discharge, respectively. Original test components were modified using principal component analysis. Rasch analysis examined the unidimensionality of the PFIT, and an interval score was derived. Correlations tested validity, and multiple regression analyses investigated predictive ability. Responsiveness was assessed using the effect size index (ESI), and the minimal clinically important difference (MCID) was calculated. The shoulder lift component was removed. Unidimensionality of combined admission and discharge PFIT-s scores was confirmed. The PFIT-s displayed moderate convergent validity with the Timed "Up & Go" Test (r=-.60), the Six-Minute Walk Test (r=.41), and the Medical Research Council (MRC) sum score (rho=.49). The ESI of the PFIT-s was 0.82, and the MCID was 1.5 points (interval scale range=0-10). A higher admission PFIT-s score was predictive of: an MRC score of ≥48, increased likelihood of discharge home, reduced likelihood of discharge to inpatient rehabilitation, and reduced acute care hospital length of stay. Scoring of sit-to-stand assistance required is subjective, and cadence cutpoints used may not be generalizable. The PFIT-s is a safe and inexpensive test of physical function with high clinical utility. It is valid, responsive to change, and predictive of key outcomes. It is recommended that the PFIT-s be adopted to test physical function in the ICU.

  13. Survey report of JSUP Space Environment Utilization Research Committee in fiscal year 1992: Functional New Materials Session

    Science.gov (United States)

    Hamakawa, Yoshihiro; Kinbara, Akira; Takimoto, Hiroshi; Takakura, Hideyuki; Hori, Takanobu; Shinohara, Joji; Ishikawa, Yoji; Sano, Kenichi; Okada, Shigenobu; Yamamoto, Yoshinobu

    1993-03-01

    Materials with super high purity can be obtained that benefit from the evolution in material refining and high-vacuum technologies for these past ten years. Taking advantages of microgravity environment, amorphous semiconductors made a remarkable improvement both in quality and quantity. Although there has not been an experiment utilizing the merit of high-vacuum environment, the environment is essential for film fabrication, from spattering to MBE (Molecular Beam Epitaxy) and plasma CVD (Chemical Vapor Deposition). It also has a potential function as a heat sink. Space is considered to be a favorable environment for many things including the followings that were investigated: semiconductor joining by atomic adhesion, fabrication of thin films of diamond and amorphous silicon alloys, CVD processes, production of super-minute grains, light element analysis by SIMS (Secondary Ion Mass Spectrometry), and anti-proton generation by laser accelerators. A solar breeder allows for the amount of solar batteries transported from the earth to be minimized, cutting down transportation costs tremendously. This report reviews the potentials of material processing in space. Processing technologies of spacecraft construction materials, thin solid films, and fine alloys are reviewed. Light element analyzing method and antiproton storing technology for liquid metal MHD (Magnetohydrodynamic) power generator are also reviewed.

  14. Stochastic optimization under risk constraint and utility functions; Optimisation stochastique sous contriante de risque et fonctions d'utilite

    Energy Technology Data Exchange (ETDEWEB)

    Seck, B

    2008-09-15

    In a context of concurrence and emergence of energy markets, the production of electricity is affected by the new sources of risks which are the price variations on the energy markets. These new sources of risks generate a new risk: the market risk. In this research, the author explores the possibility of introducing constraints, expressed by measurements of risk, into the process of optimization of electricity production when financial contracts are signed on the energy market. The author makes the distinction between the engineering approach (taking the risk into account by risk measurements) and the economist approach (taking the risk into account by utility functions). After an overview of these both approaches in a static framework, he gives an economical formulation (a Maccheroni type one) for a static optimization problem under a risk constraint when the risk measurement is written under the form of an expected infimum like the variance, the 'conditional value at risk', and so on. The obtained results are then extended to a dynamic optimization framework under risk constraints. A numerical application of this approach is presented to solve a problem of electricity production management under a constraint of 'conditional value at risk' on a middle term.

  15. Modeling of Mean-VaR portfolio optimization by risk tolerance when the utility function is quadratic

    Science.gov (United States)

    Sukono, Sidi, Pramono; Bon, Abdul Talib bin; Supian, Sudradjat

    2017-03-01

    The problems of investing in financial assets are to choose a combination of weighting a portfolio can be maximized return expectations and minimizing the risk. This paper discusses the modeling of Mean-VaR portfolio optimization by risk tolerance, when square-shaped utility functions. It is assumed that the asset return has a certain distribution, and the risk of the portfolio is measured using the Value-at-Risk (VaR). So, the process of optimization of the portfolio is done based on the model of Mean-VaR portfolio optimization model for the Mean-VaR done using matrix algebra approach, and the Lagrange multiplier method, as well as Khun-Tucker. The results of the modeling portfolio optimization is in the form of a weighting vector equations depends on the vector mean return vector assets, identities, and matrix covariance between return of assets, as well as a factor in risk tolerance. As an illustration of numeric, analyzed five shares traded on the stock market in Indonesia. Based on analysis of five stocks return data gained the vector of weight composition and graphics of efficient surface of portfolio. Vector composition weighting weights and efficient surface charts can be used as a guide for investors in decisions to invest.

  16. Assistive Technology Needs, Functional Difficulties, and Services Utilization and Coordination of Children with Developmental Disabilities in the United States.

    Science.gov (United States)

    Lin, Sue C; Gold, Robert S

    2017-01-31

    Assistive technology (AT) enhances the ability of individuals with disabilities to be fully engaged in activities at home, at school, and within their communities-especially for children with developmental disabilities (DD) with physical, sensory, learning, and/or communication impairments. The prevalence of children with DD in the United States has risen from 12.84% in 1997 to 15.04% in 2008. Thus, it is important to monitor the status of their AT needs, functional difficulties, services utilization, and coordination. Using data from the 2009-2010 National Survey on Children with Special Health Care Needs (NS-CSHCN), we conducted bivariate and multivariate statistical analysis, which found that 90% or more of parents of both children with DD and other CSHCN reported that their child's AT needs were met for vision, hearing, mobility, communication, and durable medical equipment; furthermore, children with DD had lower odds of AT needs met for vision and hearing and increased odds for meeting AT needs in mobility and communication. Our findings outline the current AT needs of children with DD nationally. Fulfilling these needs has the potential to engender positive lifelong effects on the child's disabilities, sense of independence, self-confidence, and productivity.

  17. Distribution and functions of TonB-dependent transporters in marine bacteria and environments: implications for dissolved organic matter utilization.

    Directory of Open Access Journals (Sweden)

    Kai Tang

    Full Text Available BACKGROUND: Bacteria play critical roles in marine nutrient cycles by incorporating and redistributing dissolved organic matter (DOM and inorganic nutrients in the ocean. TonB-dependent transporter (TBDT proteins allow Gram-negative bacteria to take up scarce resources from nutrient-limiting environments as well as siderophores, heme, vitamin B12, and recently identified carbohydrates. Thus, the characterization of TBDT distribution and functions is essential to better understand the contribution TBDT to DOM assimilation and its consequences on nutrient cycling in the environment. METHODOLOGY/PRINCIPAL FINDINGS: This study presents the distribution of encoded known and putative TBDT proteins in the genomes of microorganisms and from the Global Ocean Survey data. Using a Lek clustering algorithm and substrate specificities, the TBDT sequences were mainly classified into the following three groups: (1 DOM transporters; (2 Siderophores/Vitamins transporters; and (3 Heme/Hemophores/Iron(heme-binding protein transporters. Diverse TBDTs were found in the genomes of oligotroph Citromicrobium bathyomarinum JL354 and Citromicrobium sp JLT1363 and were highly expressed in the stationary phase of bacterial growth. The results show that the Gammaproteobacteria and the Cytophaga-Flavobacterium-Bacteroides (CFB group bacteria accounted for the majority of the TBDT gene pool in marine surface waters. CONCLUSIONS/SIGNIFICANCE: The results of this study confirm the ecological importance of TBDTs in DOM assimilation for bacteria in marine environments owing to a wide range of substrate utilization potential in the ubiquitous Gammaproteobacteria and CFB group bacteria.

  18. Estimation of a valuation function for a diabetes mellitus-specific preference-based measure of health: the Diabetes Utility Index.

    Science.gov (United States)

    Sundaram, Murali; Smith, Michael J; Revicki, Dennis A; Miller, Lesley-Ann; Madhavan, Suresh; Hobbs, Gerry

    2010-01-01

    Preference-based measures of health (PBMH) provide 'preference' or 'utility' weights that enable the calculation of QALYs for the economic evaluations of interventions. The Diabetes Utility Index (DUI) was developed as a brief, self-administered, diabetes mellitus-specific PBMH that can efficiently estimate patient-derived health state utilities. To describe the development of the valuation function for the DUI, and to report the validation results of the valuation function. Multi-Attribute Utility Theory (MAUT) was used as the framework to develop a valuation function for the DUI. Twenty of 768 possible health states of the DUI classified as anchor states, single-attribute level states including corner states, and marker states were selected and described for preference elicitation interviews. Visual analogue scale and standard gamble (SG) exercises were used to measure preferences from individuals with diabetes recruited from primary care and community settings in and around Morgantown, WV, USA for the 20 health states defined by combinations of DUI attributes and severity levels. Data collected in the interviews were used to develop a valuation function that calculates utilities for the DUI health states and calculates attribute-level utilities. A validation survey of the valuation function was conducted in collaboration with the West Virginia University (WVU) Diabetes Institute. A total of 100 individuals with diabetes were interviewed and their preferences for various DUI health states measured. From data generated in the interviews, a DUI valuation function was developed on a scale where 1.00 = perfect health (PH) and 0.00 = the all worse 'pits' state, and adjusted to yield utilities on the conventional scale 1.00 = PH and 0.00 = dead. A total of 396 patients with diabetes who received care at WVU clinics completed a DUI mail validation survey (response rate = 33%). Clinical data consisting of International Classification of Diseases, 9th edition, diagnosis

  19. Mean-variance inefficiency of CRRA and CARA utility functions for portfolio selection in defined contribution pension schemes

    OpenAIRE

    Elena Vigna

    2009-01-01

    We consider the portfolio selection problem in the accumulation phase of a defined contribution pension scheme in continuous time, and compare the mean-variance and the expected utility maximization approaches. Using the embedding technique pioneered by Zhou and Li (2000) we first find the efficient frontier of portfolios in the Black-Scholes financial market. Then, using standard stochastic optimal control we find the optimal portfolios derived via expected utility for popular utility functi...

  20. Exact Penalty Function and Asymptotic Strong Nonlinear Duality in Integer Programming

    Institute of Scientific and Technical Information of China (English)

    Fu-sheng Bai; Z.Y.Wu; L.S. Zhang

    2004-01-01

    In this paper, a logarithmic-exponential penalty function with two parameters for integer programmingis discussed. We obtain the exact penalty properties and then establish the asymptotic strong nonlinear duality in the corresponding logarithmic-exponential dual formulation by using the obtained exact penalty properties.The discussion is based on the logarithmic-exponential nonlinear dual formulation proposed in [6].

  1. Explicit bounds on the logarithmic derivative and the reciprocal of the Riemann zeta-function

    OpenAIRE

    Trudgian, Tim

    2015-01-01

    The purpose of this article is consider $|\\zeta'(\\sigma + it)/\\zeta(\\sigma + it)|$ and $|\\zeta(\\sigma + it)|^{-1}$ when $\\sigma$ is close to unity. We prove that $|\\zeta'(\\sigma + it)/\\zeta(\\sigma + it)| \\leq 87\\log t$ and $|\\zeta(\\sigma + it)|^{-1} \\leq 6.9\\times 10^{6} \\log t$ for $\\sigma \\geq 1-1/(8 \\log t)$ and $t\\geq 45$.

  2. Solution of Large-Scale Multicommodity Network Flow Problems via a Logarithmic Barrier Function Decomposition.

    Science.gov (United States)

    1988-03-01

    the reduced space of the nonbasic variables. Reklaitis et al. (Ref. 30) suggest a convergence acceleration technique by using a more effective...L., and Wolfe, P., 1963. 29. McCormick, G. P., "Anti-Zig-Zagging by Bending", Management Science, Vol.15, 1969, pp. 315-320. 30. Reklaitis , G. V

  3. Comparative analysis of zero aliasing logarithmic mapped optimal trade-off correlation filter

    Science.gov (United States)

    Tehsin, Sara; Rehman, Saad; Bilal, Ahmed; Chaudry, Qaiser; Saeed, Omer; Abbas, Muhammad; Young, Rupert

    2017-05-01

    Correlation filters are a well established means for target recognition tasks. However, the unintentional effect of circular correlation has a negative influence on the performance of correlation filters as they are implemented in frequency domain. The effects of aliasing are minimized by introducing zero aliasing constraints in the template and test image. In this paper, the comparative analysis of logarithmic zero aliasing optimal trade off correlation filters has been carried out for different types of target distortions. The zero aliasing Maximum Average Correlation Height (MACH) filter has been identified as the best choice based on our research for achieving enhanced results in the presence of any type of variance which are discussed in results section. The reformulation of the MACH expressions with zero aliasing has been made to demonstrate the achievable enhancement to the logarithmic MACH filter in target detection applications.

  4. Note: Atmospheric point discharge current measurements using a temperature-compensated logarithmic current amplifier

    Science.gov (United States)

    Marlton, G. J.; Harrison, R. G.; Nicoll, K. A.

    2013-06-01

    Measurements of atmospheric corona currents have been made for over 100 years to indicate the atmospheric electric field. Corona currents vary substantially, in polarity and in magnitude. The instrument described here uses a sharp point sensor connected to a temperature compensated bi-polar logarithmic current amplifier. Calibrations over a range of currents from ±10 fA to ±3 μA and across ±20 °C show it has an excellent logarithmic response over six orders of magnitude from 1 pA to 1 μA in both polarities for the range of atmospheric temperatures likely to be encountered in the southern UK. Comparison with atmospheric electric field measurements during disturbed weather confirms that bipolar electric fields induce corona currents of corresponding sign, with magnitudes ˜0.5 μA.

  5. Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure

    Science.gov (United States)

    Mechdene, Mohamed; Gala, Sadek; Guo, Zhengguang; Ragusa, Alessandra Maria

    2016-10-01

    This work establishes a sufficient condition for the regularity criterion of the Boussinesq equation in terms of the derivative of the pressure in one direction. It is shown that if the partial derivative of the pressure {partial 3π } satisfies the logarithmical Serrin-type condition int0TVert partial 3π (s)Vert_{L^{λ }}q/1+ln (1+Vert θ Vert_{L4)} {d}s < ∞ quad {with}quad2/q+3/λ =7/4quad {and}quad12/7 < λ ≤ ∞, then the solution {(u,θ )} remains smooth on {[0,T]}. Compared to the Navier-Stokes result, there is a logarithmic correction involving {θ} in the denominator.

  6. Discrete logarithm computations over finite fields using Reed-Solomon codes

    CERN Document Server

    Augot, Daniel

    2012-01-01

    Cheng and Wan have related the decoding of Reed-Solomon codes to the computation of discrete logarithms over finite fields, with the aim of proving the hardness of their decoding. In this work, we experiment with solving the discrete logarithm over GF(q^h) using Reed-Solomon decoding. For fixed h and q going to infinity, we introduce an algorithm (RSDL) needing O (h! q^2) operations over GF(q), operating on a q x q matrix with (h+2) q non-zero coefficients. We give faster variants including an incremental version and another one that uses auxiliary finite fields that need not be subfields of GF(q^h); this variant is very practical for moderate values of q and h. We include some numerical results of our first implementations.

  7. Weak-Keys in Public Key Cryptosystems Based on Discrete Logarithms

    Institute of Scientific and Technical Information of China (English)

    TAI Suiyan; LUO Ping; PENG Xiaoning; WANG Daoshun

    2005-01-01

    The discrete logarithm method is the foundation of many public key algorithms. However, one type of key, defined as a weak-key, reduces the security of public key cryptosystems based on the discrete logarithm method. The weak-key occurs if the public key is a factor or multiple of the primitive element, in which case the user's private key is not needed but can be obtained based on the character of the public key. An algorithm is presented that can easily test whether there is a weak-key in the cryptosystem. An example is given to show that an attack can be completed for the Elgamal digital signature if a weak-key exists, therefore validating the danger of weak-keys. Methods are given to prevent the generation of these weak-keys.

  8. Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

    Science.gov (United States)

    Sheykhi, A.; Shamsi, F.

    2017-03-01

    Based on the matching method, we explore the effects of adding an external magnetic field on the s-wave holographic superconductors when the gauge field is in the form of the logarithmic nonlinear source. First, we obtain the critical temperature as well as the condensation operator in the presence of logarithmic nonlinear electrodynamics and understand that they depend on the nonlinear parameter b. We show that the critical temperature decreases with increasing b, which implies that the nonlinear gauge field makes the condensation harder. Then, we turn on the magnetic field in the bulk and find the critical magnetic field, B c , in terms of the temperature, which also depends on the nonlinear parameter b. We observe that for temperature smaller than the critical temperature, T superconductor with magnetic field in Maxwell theory.

  9. Note: atmospheric point discharge current measurements using a temperature-compensated logarithmic current amplifier.

    Science.gov (United States)

    Marlton, G J; Harrison, R G; Nicoll, K A

    2013-06-01

    Measurements of atmospheric corona currents have been made for over 100 years to indicate the atmospheric electric field. Corona currents vary substantially, in polarity and in magnitude. The instrument described here uses a sharp point sensor connected to a temperature compensated bi-polar logarithmic current amplifier. Calibrations over a range of currents from ±10 fA to ±3 μA and across ±20 °C show it has an excellent logarithmic response over six orders of magnitude from 1 pA to 1 μA in both polarities for the range of atmospheric temperatures likely to be encountered in the southern UK. Comparison with atmospheric electric field measurements during disturbed weather confirms that bipolar electric fields induce corona currents of corresponding sign, with magnitudes ~0.5 μA.

  10. Calculation of the relativistic Bethe logarithm in the two-center problem

    CERN Document Server

    Korobov, Vladimir I; Karr, Jean-Philippe

    2013-01-01

    We present a variational approach to evaluate relativistic corrections of order \\alpha^2 to the Bethe logarithm for the ground electronic state of the Coulomb two center problem. That allows to estimate the radiative contribution at m\\alpha^7 order in molecular-like three-body systems such as hydrogen molecular ions H_2^+ and HD^+, or antiprotonic helium atoms. While we get 10 significant digits for the nonrelativistic Bethe logarithm, calculation of the relativistic corrections is much more involved especially for small values of bond length R. We were able to achieve a level of 3-4 significant digits starting from R=0.2 bohr, that will allow to reach 10^{-10} relative uncertainty on transition frequencies.

  11. Calculation of the relativistic Bethe logarithm in the two-center problem

    Science.gov (United States)

    Korobov, Vladimir I.; Hilico, L.; Karr, J.-Ph.

    2013-06-01

    We present a variational approach to evaluate relativistic corrections of order α2 to the Bethe logarithm for the ground electronic state of the Coulomb two-center problem. That allows us to estimate the radiative contribution at mα7 order in molecular-like three-body systems such as hydrogen molecular ions H2+ and HD+ or antiprotonic helium atoms. While we get ten significant digits for the nonrelativistic Bethe logarithm, calculation of the relativistic corrections is much more involved, especially for small values of bond length R. We were able to achieve a level of three to four significant digits starting from R=0.2 bohr, which will allow us to reach 10-10 relative uncertainty on transition frequencies.

  12. Spatiotemporal characterization of Ensemble Prediction Systems – the Mean-Variance of Logarithms (MVL diagram

    Directory of Open Access Journals (Sweden)

    J. Fernández

    2008-02-01

    Full Text Available We present a novel approach to characterize and graphically represent the spatiotemporal evolution of ensembles using a simple diagram. To this aim we analyze the fluctuations obtained as differences between each member of the ensemble and the control. The lognormal character of these fluctuations suggests a characterization in terms of the first two moments of the logarithmic transformed values. On one hand, the mean is associated with the exponential growth in time. On the other hand, the variance accounts for the spatial correlation and localization of fluctuations. In this paper we introduce the MVL (Mean-Variance of Logarithms diagram to intuitively represent the interplay and evolution of these two quantities. We show that this diagram uncovers useful information about the spatiotemporal dynamics of the ensemble. Some universal features of the diagram are also described, associated either with the nonlinear system or with the ensemble method and illustrated using both toy models and numerical weather prediction systems.

  13. An Analog Gamma Correction Scheme for High Dynamic Range CMOS Logarithmic Image Sensors

    Directory of Open Access Journals (Sweden)

    Yuan Cao

    2014-12-01

    Full Text Available In this paper, a novel analog gamma correction scheme with a logarithmic image sensor dedicated to minimize the quantization noise of the high dynamic applications is presented. The proposed implementation exploits a non-linear voltage-controlled-oscillator (VCO based analog-to-digital converter (ADC to perform the gamma correction during the analog-to-digital conversion. As a result, the quantization noise does not increase while the same high dynamic range of logarithmic image sensor is preserved. Moreover, by combining the gamma correction with the analog-to-digital conversion, the silicon area and overall power consumption can be greatly reduced. The proposed gamma correction scheme is validated by the reported simulation results and the experimental results measured for our designed test structure, which is fabricated with 0.35 μm standard complementary-metal-oxide-semiconductor (CMOS process.

  14. Coherent optical time domain reflectometry by logarithmic detection and timed random frequency hopping

    Science.gov (United States)

    Lu, Lidong; Sun, Xiaoyan; Bu, Xiande; Li, Binglin

    2017-02-01

    A scheme using timed random frequency hopping and signal logarithmic mean method is proposed and experimentally demonstrated in a coherent optical time domain reflectometry (OTDR) system to reduce the fading noise of the OTDR trace and simplify the signal processing procedure. The timed random frequency hopping is realized by randomly changing the driving current of the laser at certain time points. By this method, the fading noise of OTDR trace can be reduced to be 1/5 of that without using it. Also, a radio frequency power detector (RFPD), whose output voltage has linear relationship with the input logarithmic RF power, is used to extract the power of the RF signals from the balanced photodetector. Then, a data acquisition card directly captures and adds the digital voltage signals from the RFPD to reduce the fading noise and improve the measurement dynamic range. Compared with synchronous and asynchronous frequency hopping scheme, the proposed method is of high efficiency.

  15. Holographic two-point functions for 4d log-gravity

    CERN Document Server

    Johansson, Niklas; Zojer, Thomas

    2012-01-01

    We compute holographic one- and two-point functions of critical higher curvature gravity in four dimensions. The two most important operators are the stress tensor and its logarithmic partner, sourced by ordinary massless and by logarithmic non-normalisable gravitons, respectively. In addition, the logarithmic gravitons source two ordinary operators, one with spin-one and one with spin-zero. The one-point function of the stress tensor vanishes for all Einstein solutions, but has a non-zero contribution from logarithmic gravitons. The two-point functions of all operators match the expectations from a three-dimensional logarithmic conformal field theory.

  16. Random field Ising model with conserved kinetics: Super-universality violation, logarithmic growth law and the generalized Tomita sum rule

    Science.gov (United States)

    Kumar, Manoj; Banerjee, Varsha; Puri, Sanjay

    2017-01-01

    We perform comprehensive Monte Carlo (MC) simulations to study ordering dynamics in the random field Ising model with conserved order parameter (C-RFIM) in d=2,3 . The observations from this study are: a) For a fixed value of the disorder Δ, the correlation function C(r,t;Δ) exhibits dynamical scaling. b) The scaling function is not robust with respect to Δ, i.e., super-universality (SU) is violated by C(r,t;Δ) . c) At early times, the domains follow the algebraic growth with a disorder-dependent exponent: L(t,Δ)∼ t1/\\bar{z(Δ)} . At late times, there is a crossover to logarithmic growth: L(t,Δ) ∼ (\\ln t)1/\\varphi , where φ is a disorder-independent exponent. d) The small-r behavior of the correlation function exhibits a cusp singularity: 1-C(r) ∼ rα(Δ) , where α is the cusp exponent signifying rough fractal interfaces. e) The corresponding structure factor exhibits a non-Porod tail: S(k,t;Δ)∼ k-(d+α) , and obeys a generalized Tomita sum rule \\int_0^∞ {d}p p1-α≤ft[pd+αf(p)-C\\right]=0 , where f(p) is the appropriate scaling function, and C is a constant.

  17. Logarithmic interaction under periodic boundary conditions: closed form formulas for energy and forces

    Science.gov (United States)

    Tyagi, Sandeep

    A method is given to obtain closed form formulas for the energy and forces for an aggregate of charges interacting via a logarithmic interaction under periodic boundary conditions. The work done here is a generalization of Glasser's results [J. Math. Phys., 15, 188 (1974)] and is obtained with a different and simpler method than that by Stremler [J. Math. Phys., 45, 3584 (2004)]. The simplicity of the formulas derived here makes them extremely convenient in a computer simulation.

  18. Logarithmic interaction under periodic boundary conditions: Closed form formulas for energy and forces

    OpenAIRE

    2005-01-01

    A method is given to obtain closed form formulas for the energy and forces for an aggregate of charges interacting via a logarithmic interaction under periodic boundary conditions. The work done here is a generalization of Glasser's results [M. L. Glasser, J. Math. Phys. 15, 188 (1974)] and is obtained with a different and simpler method than that by Stremler [M. A. Stremler, J. Math. Phys. 45, 3584 (2004)]. The simplicity of the formulas derived here makes them extremely convenient in a comp...

  19. An analog-to-digital conversion system with a logarithmic characteristic

    Science.gov (United States)

    Bellomo, A.

    1972-01-01

    Detailed analysis of an analog-to-digital conversion system consisting of a linear converter and a logarithmic amplifier containing nonlinear elements. It is shown that the small-signal resolution of such a system is much greater than that of linear systems used under the same conditions. A design for a low-power analog-to-digital converter operating at medium speed with a large input signal variation field is outlined.

  20. True logarithmic amplification of frequency clock in SS-OCT for calibration

    OpenAIRE

    2011-01-01

    With swept source optical coherence tomography (SS-OCT), imprecise signal calibration prevents optimal imaging of biological tissues such as coronary artery. This work demonstrates an approach using a true logarithmic amplifier to precondition the clock signal, with the effort to minimize the noises and phase errors for optimal calibration. This method was validated and tested with a high-speed SS-OCT. The experimental results manifest its superior ability on optimization of the calibration a...