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Sample records for breit-wigner formula

  1. Breit-Wigner-Fano lineshapes in Raman spectra of graphene

    OpenAIRE

    Hasdeo, Eddwi H.; Nugraha, Ahmad R. T.; Dresselhaus, Mildred S.; Saito, Riichiro

    2014-01-01

    Excitation of electron-hole pairs in the vicinity of the Dirac cone by the Coulomb interaction gives rise to an asymmetric Breit-Wigner-Fano lineshape in the phonon Raman spectra in graphene. This asymmetric lineshape appears due to the interference effect between the phonon spectra and the electron-hole pair excitation spectra. The calculated Breit-Wigner-Fano asymmetric factor 1/qBWF as a function of the Fermi energy shows a V-shaped curve with a minimum value at the charge neutrality point...

  2. MLBW - A multi-level Breit-Wigner computer programme

    International Nuclear Information System (INIS)

    MLBW is a Fortran computer programme that calculates unbroadened neutron cross-sections for a non-fissile natural element from resonance parameters, using the multilevel Breit-Wigner approximation. Resonances can be considered that are excited by neutrons with orbital angular momentum quantum numbers 1 ranging from 0 to 5. (author)

  3. Stochastic Nuclear Reaction Theory: Breit-Wigner nuclear noise

    International Nuclear Information System (INIS)

    The purpose of this paper is the application of various statistical tests for the detection of the intermediate structure, which lies immersed in the Breit-Wigner ''noise'' arising from the superposition of many compound nucleus resonances. To this end, neutron capture cross sections are constructed by Monte-Carlo simulations of the compound nucleus, hence providing the ''noise'' component. In a second step intermediate structure is added to the Breit-Wigner noise. The performance of the statistical tests in detecting the intermediate structure is evaluated using mocked-up neutron cross sections as the statistical samples. Afterwards, the statistical tests are applied to actual nuclear cross section data. 10 refs., 1 fig., 2 tabs

  4. Breit-Wigner Enhancement of Dark Matter Annihilation

    Energy Technology Data Exchange (ETDEWEB)

    Ibe, Masahiro; /SLAC; Murayama, Hitoshi; /Tokyo U., IPMU /UC, Berkeley /LBL, Berkeley; Yanagida, T.T.; /Tokyo U. /Tokyo U., IPMU

    2009-06-19

    We point out that annihilation of dark matter in the galactic halo can be enhanced relative to that in the early universe due to a Breit-Wigner tail, if the dark matter annihilates through a pole just below the threshold. This provides a new explanation to the 'boost factor' which is suggested by the recent data of the PAMELA, ATIC and PPB-BETS cosmic-ray experiments.

  5. Impact of Fano and Breit-Wigner resonances in the thermoelectric properties of nanoscale junctions

    OpenAIRE

    García-Suárez, Víctor M.; Ferradás, R.; Ferrer, Jaime

    2013-01-01

    We show that the thermoelectric properties of nanoscale junctions featuring states near the Fermi level strongly depend on the type of resonance generated by such states, which can be either Fano- or Breit-Wigner-like. We give general expressions for the thermoelectric coefficients generated by the two types of resonances and calculate the thermoelectric properties of these systems, which encompass most nanoelectronics junctions. We include simulations of real junctions where metalloporphyrin...

  6. Conversion of single- and multilevel Breit-Wigner resonance parameters to pole representation parameters

    International Nuclear Information System (INIS)

    One reliable and convenient way of processing the cross sections in the resolved energy region is by use of the generalized pole representation, whereby the Doppler-broadening calculation can be carried out rigorously using the analytical approach. So far, its applications have been limited to cases with resonance parameters specified by the Reich-Moore formalism. Although such an approach can in principle be extended to all three remaining representations of resolved resonance parameters specified by the ENDF data format, there is no computational tool for handling such a task at present. Given that Breit-Wigner formalisms are probably the most widely used by any evaluated nuclear data library to represent cross sections, a special effort needs to be made to convert the single- and multilevel Breit-Wigner resonance parameters to pole parameters. The FORTRAN computer code BW2PR has been developed for this purpose. Extensive calculations have been performed to demonstrate that the proposed method ensures the conservation of the information contained originally in Breit-Wigner resonance parameters. This will make it possible to apply the exact Doppler-broadening method to a larger collection of nuclides

  7. Bivariate-t distribution for transition matrix elements in Breit-Wigner to Gaussian domains of interacting particle systems

    International Nuclear Information System (INIS)

    Interacting many-particle systems with a mean-field one-body part plus a chaos generating random two-body interaction having strength λ exhibit Poisson to Gaussian orthogonal ensemble and Breit-Wigner (BW) to Gaussian transitions in level fluctuations and strength functions with transition points marked by λ=λc and λ=λF, respectively; λF>>λc. For these systems a theory for the matrix elements of one-body transition operators is available, as valid in the Gaussian domain, with λ>λF, in terms of orbital occupation numbers, level densities, and an integral involving a bivariate Gaussian in the initial and final energies. Here we show that, using a bivariate-t distribution, the theory extends below from the Gaussian regime to the BW regime up to λ=λc. This is well tested in numerical calculations for 6 spinless fermions in 12 single-particle states

  8. Capture cross section and gamma-ray spectrum calculations for medium-weight nuclei. [Double-peak, energy-dependent Breit-Wigner model

    Energy Technology Data Exchange (ETDEWEB)

    Gardner, M.A.; Gardner, D.G.

    1979-11-14

    A double-peak, energy-dependent Breit-Wigner model of the E1 gamma-ray strength function was applied to nuclei from As to Rh, to predict their neutron capture cross sections and capture gamma-ray spectra. A consistent set of model parameters was obtained in this mass region to describe the step in the low-energy tail of the E1 strength function. This step allows agreement with photonuclear data at high energies, the correct GAMMA/sub gamma/ to be obtained for agreement with neutron capture cross-section data, and the calculation of the observed hardness in the capture gamma-ray spectra. For nuclei at or near the closed, N = 50 shell, however, the double-peak assumption breaks down. In these cases, good results are still obtained if the same set of model parameters is applied, except that the E1 strength function is formulated in terms of the first, narrower peak. 8 figures.

  9. Recommended formulae and formats for a resonance parameter library

    International Nuclear Information System (INIS)

    It is proposed that a library of neutron resonance parameters be set up, on punched cards and magnetic tape, which will complement the cross section data in the present U.K. Nuclear Data Library. This report gives parametric formulae for the resolved resonance region, based on:- (i) the Breit-Wigner approximation, (ii) other approximations of R-matrix theory and (iii) the formulae of Adler and Adler. In addition, the statistical distributions of the parameters are given. The final section of the report contains the recommended formats for the parameters of the various formulae. (author)

  10. Analytical improvements to the Breit-Wigner isobar models

    OpenAIRE

    Szczepaniak, Adam P.

    2015-01-01

    We discuss the derivation and properties of the general representation of partial wave amplitudes in the context of improving the models currently used in analysis of three particle Dalitz distributions.

  11. Criticality and doppler reactivity worth uncertainty due to resolved resonance parameter errors. Formula for sensitivity analysis

    International Nuclear Information System (INIS)

    Uncertainties of reactivities due to those of resolved resonance parameters are evaluated by so-called'' direct k-difference method''. Then, effective cross section of an individual isotope and reaction type is described in terms of infinitely diluted cross section σ∞xik and resonance self-shielding factor fxik (x: reaction, i: isotope, k: sequence number of resonance) as a function of resonance parameters, and reactivity is evaluated from the neutron balance using the effective cross section and neutron flux. Consequently, reactivity uncertainties such as effective multiplication factor can be estimated by the sensitivity coefficients of the infinitely diluted cross section and resonance self-shielding factor to the changes of resonance parameters of interest. In the present work, the uncertainties of the resolved resonance parameters for the evaluated nuclear data file JENDL-3.2 were estimated on the basis of Breit-Wigner Multi-level formula. For the Reich-Moore resonance parameters complied in the library, the uncertainties equivalent to the Breit-Wigner resonance parameters are estimated. The resonance self-shielding factor based on NR-approximation is analytically described. Reactivity uncertainty evaluation method for the effective multiplication factor keff, temperature coefficient α, Doppler reactivity worth ρ is developed by means of the sensitivity coefficient against the resonance parameter. Final uncertainties of the reactivities are estimated by means of error propagation law using the level-wise uncertainties. Preliminary uncertainty evaluation of Doppler reactivity worth due to the uncertainties of resolved resonance parameters results about 4% at the temperature 728 K for large sodium-cooled fast breeder reactor. (author)

  12. The derivation and evaluation of resonance cross sections applicable to light-water reactors

    International Nuclear Information System (INIS)

    A rigorous approach to resonance cross section theory is adopted. The R-matrix theory of Wigner and Eisenbud is reviewed and presented in a form applicable to nuclear reactor technology. The single-level Breit-Wigner, multi-level Breit-Wigner, Vogt, and Reich-Moore cross section formulas are derived. The application of these formulas in the construction of nuclear data libraries is discussed

  13. Makeham's Formula

    DEFF Research Database (Denmark)

    Astrup Jensen, Bjarne

    Makeham's formula is an actuarial formula expressing the present value of a payment stream in terms of its repayments instead of the payments themselves. The formula is largely neglected in the finance literature, but -- as this paper shows -- it has a number of useful applications in fixed income...... analysis. We use Makeham's formula to decompose the return on a bond investment into interest payments, realized capital gains and accrued capital gains for a variety of accounting rules for measuring accruals in order to study the theoretical properties of these accounting rules, their taxation...

  14. Doppler reactivity worth uncertainties due to errors of resolved resonance parameters

    International Nuclear Information System (INIS)

    Errors of the resolved resonance parameters for the evaluated nuclear data file JENDL-3.2 were evaluated on the basis of Breit-Wigner Multi-level formula. For the Reich-Moore resonance parameters, the errors equivalent to the Breit-Wigner resonance parameters were obtained. Reactivity uncertainties of Doppler reactivity worth are estimated by the sensitivity coefficients of the infinitely diluted cross section resonance self-shielding factor to the changes of resonance parameter of interest. The resonance self-shielding factor based on NR-approximation was analytically described. Total uncertainty of Doppler reactivity worth ρ for whole resonance was estimated by means of error propagation law. (author)

  15. Makeham's Formula

    DEFF Research Database (Denmark)

    Astrup Jensen, Bjarne

    Makeham's formula is an actuarial formula expressing the present value of a payment stream in terms of its repayments instead of the payments themselves. The formula is largely neglected in the finance literature, but -- as this paper shows -- it has a number of useful applications in fixed income...... analysis. We use Makeham's formula to decompose the return on a bond investment into interest payments, realized capital gains and accrued capital gains for a variety of accounting rules for measuring accruals in order to study the theoretical properties of these accounting rules, their taxation...... consequences and their implications for the relation between the yield before tax and the yield after tax. We also show how Makeham's formula produces short-cut expressions for the duration and convexity of a bond and facilitates the analytical calculation of the yield in certain cases....

  16. Determination of one spectral index at the argonaut reactor

    International Nuclear Information System (INIS)

    One spectral index at the Argonauta Reactor was determined. The Westcott formalism was employed assuming two components: Maxwellian and 1/E. The values of g(T) and s(T) were obtained from the Westcott definitions by means of the Breit - Wigner formula for the cross section. The r and T were determined for one point at the core of Argonauta Reactor. (author)

  17. Breastfeeding vs. Formula Feeding

    Science.gov (United States)

    ... Things to Know About Zika & Pregnancy Breastfeeding vs. Formula Feeding KidsHealth > For Parents > Breastfeeding vs. Formula Feeding ... with a lactation specialist. previous continue All About Formula Feeding Commercially prepared infant formulas are a nutritious ...

  18. Infant formulas - overview

    Science.gov (United States)

    ... based formulas should be used for infants with galactosemia , a rare condition. These formulas can also be ... free formulas: These formulas are also used for galactosemia and for children who can't digest lactose. ...

  19. Manipulation with Formulae

    Institute of Scientific and Technical Information of China (English)

    2008-01-01

    <正>An equation which gives a general rule for a particular type of problem is called a formula. Frequently it is convenient to transform a formula,that is,express the formula with a dif- ferent subject.Consider the formula C=2πr;the subject is C.However,if we divide both sides by 2π:

  20. Excel 2013 formulas

    CERN Document Server

    Walkenbach, John

    2013-01-01

    Maximize the power of Excel 2013 formulas with this must-have Excel reference John Walkenbach, known as ""Mr. Spreadsheet,"" is a master at deciphering complex technical topics and Excel formulas are no exception. This fully updated book delivers more than 800 pages of Excel 2013 tips, tricks, and techniques for creating formulas that calculate, developing custom worksheet functions with VBA, debugging formulas, and much more. Demonstrates how to use all the latest features in Excel 2013 Shows how to create financial formulas and tap into the power of array formulas

  1. Prebiotics in infant formula

    OpenAIRE

    Vandenplas, Yvan; De Greef, Elisabeth; Veereman, Gigi

    2014-01-01

    The gastrointestinal microbiota of breast-fed babies differ from classic standard formula fed infants. While mother's milk is rich in prebiotic oligosaccharides and contains small amounts of probiotics, standard infant formula doesn’t. Different prebiotic oligosaccharides are added to infant formula: galacto-oligosaccharides, fructo-oligosaccharide, polydextrose, and mixtures of these. There is evidence that addition of prebiotics in infant formula alters the gastrointestinal (GI) microbiota ...

  2. SOME DUAL KINEMATIC FORMULAS

    Institute of Scientific and Technical Information of China (English)

    2007-01-01

    In this article, some kinematic formulas for dual quermassintegral of star bodies and for chord power integrals of convex bodies are established by using dual mixed volumes. These formulas are the extensions of the fundamental kinematic formula involving quermassintegral to the case of dual quermassintegral and chord power integrals.

  3. Machin's Formula and Pi

    OpenAIRE

    西山, 豊

    2011-01-01

    This article explains the calculation of Pi historically, focusing on Machin's formula. Archimedes' formula is shown first, followed by Machin's formula using Gregory's formula. Machin's formula makes particularly ingenious use of the tan double and quadruple angle trigonometric addition formulae. The chapter closes with an explanation of Takano's formula.

  4. Resonant tunneling through two-dimensional nanostructure with connected conductors

    International Nuclear Information System (INIS)

    The ballistic electron transport through the two-terminal nano arrangement is considered. The obvious formula for the electron transmission coefficient as the function of its energy is obtained. The equation determining the parameters of the Breit-Wigner and Fano resonances is identified. The conditions, whereby the collapse of the Fano resonances is observed, are established. The effect of the contacts parameters and their mutual disposition on the system transport properties is studied

  5. Excel2003 Formulas

    CERN Document Server

    Walkenbach, John

    2011-01-01

    Everything you need to know about* Mastering operators, error values, naming techniques, and absolute versus relative references* Debugging formulas and using the auditing tools* Importing and exporting XML files and mapping the data to specific cells* Using Excel 2003's rights management feature* Working magic with array formulas* Developing custom formulas to produce the results you needHere's the formula for Excel excellenceFormulas are the lifeblood of spreadsheets, and no one can bring a spreadsheet to life like John Walkenbach. In this detailed reference guide, he delves deeply into unde

  6. An analysis of mean life and lifetime of unstable elementary particles

    International Nuclear Information System (INIS)

    A theoretical analysis of the concept of lifetime and mean life of unstable elementary particles is presented. New analytic formulas for lifetime and mean life as a function of decay width Λ and the mass of unstable particle are derived for Breit-Wigner and Matthews-Salam energy distributions. It is demonstrated that, for unstable particles with a larger width or decay energy threshold, the deviation from the generally accepted mean life τm = Λ-1 is significant. The behavior of the decay law P(t) for small times is analyzed, and it is shown that the Breit-Wigner distribution violates the condition P(t=0)=0, whereas the Matthews-Salam distribution satisfies it

  7. THE ROSENBLUTH FORMULA

    Energy Technology Data Exchange (ETDEWEB)

    Yennie, D.R.

    1963-06-15

    The Rosenbluth formula, defined as the theoretical expression for the differential cross section for electronproton scattering under one-photon- exchange, is discussed. Electron-proton amd positron-proton scattering are compared using the formula. Some possible corrections to the Rosenbluth formula are discussed. The effects of nonelectromagnetic interactions and two-photon- exchange, with the possibility of Regge pole behavior, are also discussed. (R.E.U.)

  8. China's Formula,Go!

    Institute of Scientific and Technical Information of China (English)

    Li Yinghong; Yang Wei

    2009-01-01

    @@ On the first day of November,when Jenson Button cheered his first Formula I World Championship 2009 at the final race of the season in Abu Dhabi,Chinese young university students were busy preparing for their own Formula event.According to a press conference on October 19,2009 in Beijing,the first Formula SAE-China (FSAE) event has set off,and will be officially launch its final race next year from October 14 to October 17 at Shanghai International Circuit,where will also be the Formula 12010 China stop again in next April.

  9. Selected Baking Formulas.

    Science.gov (United States)

    Bogdany, Melvin

    This manual is designed to help baking students learn to use formulas in the preparation of baking products. Tested and proven formulas are, for the most part, standard ones with only slight modifications. The recipes are taken mainly from bakery product manufacturers and are presented in quantities suitable for school-shop use. Each recipe…

  10. Formula misasi?! / Sten Soomlais

    Index Scriptorium Estoniae

    Soomlais, Sten

    2008-01-01

    Formula Student on kõrgkoolide masinaehituse ja/või autotehnika tudengite meeskondade vaheline iga-aastane tootearendusvõistlus, mis kujutab endast väikese vormelauto projekteerimist, ehitamist ja võidusõitmist ringrajal. Lisa: Formula Student Eestis

  11. Perfect IFG-formulas

    CERN Document Server

    Mann, Allen L

    2008-01-01

    IFG logic is a variant of the independence-friendly logic of Hintikka and Sandu. We answer the question: ``Which IFG-formulas are equivalent to ordinary first-order formulas?'' We use the answer to show that the ordinary cylindric set algebra over a structure can be embedded into a reduct of the IFG-cylindric set algebra over the structure.

  12. Formulas as programs

    NARCIS (Netherlands)

    Apt, K.R.; Bezem, M.A.

    1998-01-01

    We provide here a computational interpretation of first-order logic based on a constructive interpretation of satisfiability w.r.t. a fixed but arbitrary interpretation. In this approach the emph{formulas themselves are emph{programs. This contrasts with the so-called emph{formulas as types approach

  13. Infant formulas - overview

    Science.gov (United States)

    ... rice starch. They are usually needed only for infants with reflux who are not gaining weight or who are very uncomfortable. Formulas for premature and low-birth-weight infants have extra calories and minerals to meet the ...

  14. Abbott Infant Formula Recall

    Data.gov (United States)

    U.S. Department of Health & Human Services — This list includes products subject to recall since September 2010 related to infant formula distributed by Abbott. This list will be updated with publicly...

  15. Geometrization of Trace Formulas

    CERN Document Server

    Frenkel, Edward

    2010-01-01

    Following our joint work arXiv:1003.4578 with Robert Langlands, we make the first steps toward developing geometric methods for analyzing trace formulas in the case of the function field of a curve defined over a finite field. We also suggest a conjectural framework of geometric trace formulas for curves defined over the complex field, which exploits the categorical version of the geometric Langlands correspondence.

  16. Contributions to multidimensional quadrature formulas

    International Nuclear Information System (INIS)

    The general objective of this paper is to construct multidimensional quadrature formulas similar to the Gaussian Quadrature Formulas in one dimension. The correspondence between these formulas and orthogonal and nonnegative polynomials is established. One part of the paper considers the construction of multidimensional quadrature formulas using only methods of algebraic geometry, on the other part it is tried to obtain results on quadrature formulas with real nodes and, if possible, with positive weights. The results include the existence of quadrature formulas, information on the number resp. on the maximum possible number of points in the formulas for given polynomial degree N and the construction of formulas. (orig.)

  17. Fuel formula for lighters

    Energy Technology Data Exchange (ETDEWEB)

    Iwayama, I.; Iwayama, A.

    1982-04-10

    A fuel formula that includes a homogenous mixture of benzine, aromatic ether oils, perfume and other perfuming agents, as well as the lowest possible aliphatic alcohol as a component solvent, surfactant, and possibly, a soluble pigment that colors the formula an appropriate color. This formula is used as an aromatic fuel for cigarette lights. The ether oils can be musk, amber, camomille, lavender, mint, anise, rose, camphor, and other aromatic oils; the perfuming agents are: geraniol, linalool, menthol, camphor, benzyl or phenetyl alcohols, phenylacetaldehyde, vanillin, coumarin, and so forth; the pigments are: beta-carotene, sudan dyes, etc.; the low aliphatic alcohols are EtOH, iso-PrOH. Example: 70 parts benzine, 10 parts EtOH, 15 parts oxide mezithylene and 5 parts borneol form a clear liquid that has a camphor aroma when it is lit.

  18. Electromagnetic shielding formulae

    International Nuclear Information System (INIS)

    This addendum to an earlier collection of electromagnetic shielding formulae (TRITA-EPP-75-27) contains simple transfer matrices suitable for calculating the quasistatic shielding efficiency for multiple transverse-field and axial-field cylindrical and spherical shields, as well as for estimating leakage fields from long coaxial cables and the normal-incidence transmission of a plane wave through a multiple plane shield. The differences and similarities between these cases are illustrated by means of equivalent circuits and transmission line analogies. The addendum also includes a discussion of a possible heuristic improvement of some shielding formulae. (author)

  19. Formula Student 2012

    OpenAIRE

    Escuela Técnica Superior de Ingeniería Industrial

    2012-01-01

    Los integrantes del equipo de la UPCT conducirán el prototipo que ellos mismos han fabricado. La diferencia de estos jóvenes con un piloto profesional de Formula 1 está en que conocen al detalle la composición de cada elemento de su vehículo, porque ellos son los que han diseñado este monoplaza de carreras. En esta edición de la competición Formula Student, los alumnos estuvieron acompañados por Miguel Lucas, profesor asociado que forma parte de los tutores que participan en el proyecto Formu...

  20. The Formula Essay Reconsidered

    Science.gov (United States)

    Haluska, Jan

    2012-01-01

    Bruce Pirie offers the following criticism about formula essays: "What does a five-paragraph essay teach about writing? It teaches that there are rules, and that those rules take the shape of a preordained form, like a cookie-cutter, into which we can pour ideas and expect them to come out well shaped." He goes on to discredit such essays as being…

  1. Chen's inversion formula

    International Nuclear Information System (INIS)

    An alternative view is presented of the Chen's generalization of a formula of classic algebraic number theory, based on the Mellin transformation and Reimann's zeta function. The advantages of the Mellin transform, as a method with a primary role in asymptotic analysis, are outlined. 10 refs

  2. Research Timeline: Formulaic language

    Science.gov (United States)

    Wray, Alison

    2013-01-01

    Creating a timeline for formulaic language is far from simple, because several partially independent lines of research have contributed to the emerging picture. Each exhibits cycles of innovation and consolidation over time: domains take a leading role in developing new knowledge and then fall back, while another area comes to the fore. Thus, some…

  3. Mesh Distance Formulae

    OpenAIRE

    Pertel, Michael J.

    1992-01-01

    A table of useful summation formulae are derived, together with a Mathematica package for producing them. The distance distribution in mesh routing networks is derived. The mean and variance of the distance distribution are computed. A program for computing the distance distribution of any mesh is presented.

  4. Learning academic formulaic sequences

    OpenAIRE

    Peters, Elke; Pauwels, Paul

    2015-01-01

    This paper reports on a classroom-based study that explored the effect of explicit, vocabulary-focused instruction on English as a Foreign Language (EFL) students’ recognition, cued output and spontaneous use of academic formulaic sequences (FS). In addition, the study aimed to shed some light on which type of classroom activity might be most beneficial. Data were collected among second-year EFL business students (L1 = Dutch) in a classroom-based experiment during students’ regular English cl...

  5. Formulas of Revised MRP

    Directory of Open Access Journals (Sweden)

    Alfredo Bregni

    2013-04-01

    innovation to the main process functioning. As a result, the proposed algorithm copes better with demand uncertainty, lowers the system nervousness and also removes the need for continuous forecast adjustments, thereby improving the ease in managing the material flow, allowing the development of new forms of collaboration among different supply chain partners and the creation of new business networks. The algorithm is presented in formulas to describe in detail each procedure step and calculations.

  6. Overview: Infant Formula and Fluorosis

    Science.gov (United States)

    ... Journal Articles for Community Water Fluoridation Overview: Infant Formula and Fluorosis Recommend on Facebook Tweet Share Compartir ... dentist or hygienist to see. Because most infant formulas contain low levels of fluoride, regularly mixing powdered ...

  7. Cronobacter Illness and Infant Formula

    Science.gov (United States)

    ... most at risk. Illnesses Linked to Powdered Infant Formula In some outbreak investigations, Cronobacter was found in ... other sources of this rare sickness. Powdered Infant Formula is Not Sterile Manufacturers report that, using current ...

  8. On the cable expansion formula

    OpenAIRE

    Liu, Qihou

    2008-01-01

    In this paper, a generalized version of Morton's formula is proved. Using this formula, one can write down the colored Jones polynomials of cabling of an knot in terms of the colored Jones polynomials of the original knot.

  9. Bryant J. correction formula

    International Nuclear Information System (INIS)

    For the practical application of the method proposed by J. Bryant, the authors carried out a series of small corrections, related with the bottom, the dead time of the detectors and channels, with the resolution time of the coincidences, with the accidental coincidences, with the decay scheme and with the gamma efficiency of the beta detector beta and the beta efficiency beta of the gamma detector. The calculation of the correction formula is presented in the development of the present report, being presented 25 combinations of the probability of the first existent state at once of one disintegration and the second state at once of the following disintegration. (Author)

  10. Positive quadrature formulas III

    Science.gov (United States)

    Peherstorfer, Franz

    2008-12-01

    First we discuss briefly our former characterization theorem for positive interpolation quadrature formulas (abbreviated qf), provide an equivalent characterization in terms of Jacobi matrices, and give links and applications to other qf, in particular to Gauss-Kronrod quadratures and recent rediscoveries. Then for any polynomial t_n which generates a positive qf, a weight function (depending on n ) is given with respect to which t_n is orthogonal to mathbb{P}_{n-1} . With the help of this result an asymptotic representation of the quadrature weights is derived. In general the asymptotic behaviour is different from that of the Gaussian weights. Only under additional conditions do the quadrature weights satisfy the so-called circle law. Corresponding results are obtained for positive qf of Radau and Lobatto type.

  11. Multiple Commutator Formulas

    OpenAIRE

    Hazrat, R.; Zhang, Z.

    2011-01-01

    Let A be a quasi-finite R-algebra (i.e., a direct limit of module finite algebras) with identity. Let I_i, i=0,...,m, be two-sided ideals of A, \\GL_n(A,I_i) the principal congruence subgroup of level I_i in GL_n(A) and E_n(A,I_i) be the relative elementary subgroup of level I_i. We prove a multiple commutator formula [E_n(A,I_0),\\GL_n(A,I_1),& \\GL_n(A, I_2),..., \\GL_n(A, I_m)] = [E_n(A,I_0),E_n(A,I_1),E_n(A, I_2),..., E_n(A, I_m)], which is a broad generalization of the standard commutator fo...

  12. Quadrature formulas for Fourier coefficients

    Science.gov (United States)

    Bojanov, Borislav; Petrova, Guergana

    2009-09-01

    We consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials. In particular, we show the uniqueness of a multiple node formula for the Fourier-Tchebycheff coefficients given by Micchelli and Sharma and construct new Gaussian formulas for the Fourier coefficients of a function, based on the values of the function and its derivatives.

  13. Quadrature formulas for Fourier coefficients

    KAUST Repository

    Bojanov, Borislav

    2009-09-01

    We consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials. In particular, we show the uniqueness of a multiple node formula for the Fourier-Tchebycheff coefficients given by Micchelli and Sharma and construct new Gaussian formulas for the Fourier coefficients of a function, based on the values of the function and its derivatives. © 2009 Elsevier B.V. All rights reserved.

  14. On generalized averaged Gaussian formulas

    Science.gov (United States)

    Spalevic, Miodrag M.

    2007-09-01

    We present a simple numerical method for constructing the optimal (generalized) averaged Gaussian quadrature formulas which are the optimal stratified extensions of Gauss quadrature formulas. These extensions exist in many cases in which real positive Kronrod formulas do not exist. For the Jacobi weight functions w(x)equiv w^{(alpha,beta)}(x)D(1-x)^alpha(1+x)^beta ( alpha,beta>-1 ) we give a necessary and sufficient condition on the parameters alpha and beta such that the optimal averaged Gaussian quadrature formulas are internal.

  15. Discontinuity formulas for multiparticle amplitudes

    International Nuclear Information System (INIS)

    It is shown how discontinuity formulas for multiparticle scattering amplitudes are derived from unitarity and analyticity. The assumed analyticity property is the normal analytic structure, which was shown to be equivalent to the space-time macrocausality condition. The discontinuity formulas to be derived are the basis of multi-particle fixed-t dispersion relations

  16. Discontinuity formulas for multiparticle amplitudes

    Energy Technology Data Exchange (ETDEWEB)

    Stapp, H.P.

    1976-03-01

    It is shown how discontinuity formulas for multiparticle scattering amplitudes are derived from unitarity and analyticity. The assumed analyticity property is the normal analytic structure, which was shown to be equivalent to the space-time macrocausality condition. The discontinuity formulas to be derived are the basis of multi-particle fixed-t dispersion relations.

  17. Algebraic Proofs over Noncommutative Formulas

    CERN Document Server

    Tzameret, Iddo

    2010-01-01

    We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least as strong as Frege---yielding a semantic way to define a Cook-Reckhow (i.e., polynomially verifiable) algebraic analogue of Frege proofs, different from that given in [BIKPRS96,GH03]. We then turn to an apparently weaker system, namely, polynomial calculus (PC) where polynomials are written as ordered formulas ("PC over ordered formulas", for short). This is an algebraic propositional proof system that operates with noncommutative polynomials in which the order of products in all monomials respects a fixed linear order on the variables, and where proof-lines are written as noncommutative formulas. We show that the latter proof system is strictly stronger than resolution, polynomial calculus and polynomial calculus with resolution (PCR) and admits polynomial-size refutations for the pigeonhole principle and the Tseitin's formulas. We...

  18. Poetic grounds of epic formulae

    Directory of Open Access Journals (Sweden)

    Delić Lidija

    2013-01-01

    Full Text Available The study of oral formulae in the twentieth century had several phases. After the initial - very stimulating and influential - research by M. Parry and A. B. Lord, who focused on the technique of composing the poem and the mnemotechnic function of formulae, the focus at first shifted to the concept of performance (J. M. Foley, and then to the mental text (L. Honko, which introduced into research horizons social, ideological, psychological and mental conditions of improvisation, interaction between the singer and the audience, collective and individual factors of memorising, cultural representation, and the like. Although all the abovementioned aspects undoubtedly determine the structure of a specific variant, it should be kept in mind that formulae transcend concrete improvisations and connect different epic zones, different local traditions and different times. The formula precedes verbal improvisation both chronologically and logically. Therefore - before explaining the repeating of formulae by the needs and nature of improvisation (composition-in-performance or the generating of formulae in specific variants by textualisation of mental text - we must explain the existence of the formula in the first place. This paper seeks to point out the complex system of factors that determine the genesis of formulae. Formulae are regarded as cultural codes, which combine elements from different spheres (the conceptualization of space, time, colour and so on, elements of rituals, customary norms, historical experience, life realities, ethics, etc.. Therefore, their structure is described in terms of hidden knowledge, hidden complexity, frame semantics, the tip of the iceberg, compressed meanings. Meanings “compressed” in the formulae are upgraded with new “income” in every new/concrete realisation (i.e. poem and this is the area where aesthetics rivals poetics. [Projekat Ministarstva nauke Republike Srbije, br. 178011: Serbian Oral Tradition in an

  19. Wigner random banded matrices with sparse structure local spectral density of states

    CERN Document Server

    Fyodorov, Yu V; Izrailev, F M; Casati, G

    1995-01-01

    Random banded matrices with linearly increasing diagonal elements are recently considered as an attractive model for complex nuclei and atoms. Apart from early papers by Wigner \\cite{Wig} there were no analytical studies on the subject. In this letter we present analytical and numerical results for local spectral density of states (LDOS) for more general case of matrices with a sparsity inside the band. The crossover from the semicircle form of LDOS to that given by the Breit-Wigner formula is studied in detail.

  20. A note on generalized averaged Gaussian formulas

    Science.gov (United States)

    Spalevic, Miodrag

    2007-11-01

    We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss?Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss?Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule.

  1. Trace formulae for arithmetical systems

    International Nuclear Information System (INIS)

    For quantum problems on the pseudo-sphere generated by arithmetic groups there exist special trace formulae, called trace formulae for Hecke operators, which permit the reconstruction of wave functions from the knowledge of periodic orbits. After a short discussion of this subject, the Hecke operators trace formulae are presented for the Dirichlet problem on the modular billiard, which is a prototype of arithmetical systems. The results of numerical computations for these semiclassical type relations are in good agreement with the directly computed eigenfunctions. (author) 23 refs.; 2 figs

  2. APPLICABILITY OF SEDIMENT TRANSPORT FORMULAS

    Institute of Scientific and Technical Information of China (English)

    Chih Ted YANG; Caian HUANG

    2001-01-01

    The paper provides a comprehensive testing of the applicability of 13 sediment transport formulas under different flow and sediment conditions. The dimensionless parameters used for testing the reliability and sensitivity of formulas are dimensionless particle diameter, relative depth, Froude number, relative shear velocity, dimensionless unit stream power, and sediment concentration. A total of 3,391 sets of laboratory and river data are used in the tests. Engineers may find the test results useful to their selection of formulas under different flow and sediment conditions.

  3. Generalized Klein-Nishina formula

    CERN Document Server

    Krajewska, K; Kamiński, J Z

    2015-01-01

    The generalized Klein-Nishina formula for Compton scattering of charged particles by a finite train of pulses is derived in the framework of quantum electrodynamics. The formula also applies to classical Thomson scattering provided that frequencies of generated radiation are smaller that the cut-off frequency. The validity of the formula for incident pulses of different durations is illustrated by numerical examples. The positions of the well-resolved Compton peaks, with the clear labeling by integer orders, opens up the possibility of the precise diagnostics of properties of relativistically intense, short laser pulses. This includes their peak intensity, the carrier-envelope phase, and their polarization properties.

  4. New approach to mass formulas

    International Nuclear Information System (INIS)

    The Regge approach to mass formulas is grounded. The main types of interrelations between meson masses are picked out and analysed. The spectrum of vector mesons with the fifth flavour is also evaluated

  5. CHY formula and MHV amplitudes

    CERN Document Server

    Du, Yi-jian; Wu, Yong-shi

    2016-01-01

    In this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl support the MHV amplitudes. Namely, localized at this solution, the integrated CHY formula reproduces the Parke-Taylor formula for Yang-Mills amplitudes as well as the Hodges formula for gravitational amplitudes. This is achieved by developing techniques, in a manifestly M\\"obius covariant formalism, to explicitly compute relevant reduced Pfaffians/determinants. We observe and prove two interesting properties (or identities), which facilitate the computations. We also check that all the other $(n-3)!-1$ solutions to the scattering equations do not support the MHV amplitudes, and prove analytically that this is indeed true for the other special rational solution proposed by Weinzierl, that actually supports the anti-MHV amplitudes.

  6. FDA Abbott Infant Formula Recall

    Data.gov (United States)

    U.S. Department of Health & Human Services — On September 22, 2010, Abbott issued a voluntary recall of certain Similac powdered infant formula after identifying a common warehouse beetle (both larvae and...

  7. Summation formulae on trigonometric functions

    Science.gov (United States)

    Wang, Xin; Zheng, De-Yin

    2007-11-01

    Trigonometric sums over the angles equally distributed on the upper half plane are investigated systematically. Their generating functions and explicit formulae are established through the combination of the formal power series method and partial fraction decompositions.

  8. On generalizations of Verlinde's formula

    CERN Document Server

    Bántay, P

    2000-01-01

    It is shown that traces of mapping classes of finite order may be expressed by Verlinde-like formulae. The 3D topological argument is explained, and the resulting trace identities for modular matrix elements are presented.

  9. An energy loss straggling formula

    International Nuclear Information System (INIS)

    The analytical formulae for straggling widths were obtained solving Symon's equations for the second and third order central moments of the straggling distributions in non-relativistic approximation, enabling prediction of peak widths and asymmetry parameters of charged particle energy loss distributions for thick targets. The respective calculations based on these formulae were found to be in good agreement with experimental values for particle energy losses of light ions up to 70% of the nominal projectile energy value. ((orig.))

  10. Infant Formula - Buying, Preparing, Storing, and Feeding

    Science.gov (United States)

    ... page: //medlineplus.gov/ency/patientinstructions/000806.htm Infant Formula – Buying, Preparing, Storing, and Feeding To use the ... using infant formula . Buying, Preparing, and Storing Infant Formula The following tips can help you buy, prepare, ...

  11. A recursion formula for Bayesian probabilities

    NARCIS (Netherlands)

    Nijsse, M

    2003-01-01

    A recursion formula for Bayes' formula is derived. The formula is useful in applications in which diagnoses are added in a stepwise way to predict a criterion. On each step, changes in various diagnostic measures can be easily evaluated.

  12. Shuffle product formulas of multiple zeta values

    OpenAIRE

    Li, Zhonghua; Chen QIN

    2016-01-01

    Using the combinatorial description of shuffle product, we prove or reformulate several shuffle product formulas of multiple zeta values, including a general formula of the shuffle product of two multiple zeta values, some restricted shuffle product formulas of the product of two multiple zeta values, and a restricted shuffle product formula of the product of $n$ multiple zeta values.

  13. 27 CFR 25.57 - Formula information.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula information. 25.57... OF THE TREASURY LIQUORS BEER Miscellaneous Provisions Formulas § 25.57 Formula information. (a) Ingredient information. (1) For each formula you must list each separate ingredient and the specific...

  14. 24 CFR 92.50 - Formula allocation.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 1 2010-04-01 2010-04-01 false Formula allocation. 92.50 Section... Development HOME INVESTMENT PARTNERSHIPS PROGRAM Allocation Formula § 92.50 Formula allocation. (a) Jurisdictions eligible for a formula allocation. HUD will provide allocations of funds in amounts determined...

  15. 27 CFR 19.378 - Formula requirements.

    Science.gov (United States)

    2010-04-01

    ... Manufacture of Articles Formulas § 19.378 Formula requirements. An approved formula on TTB Form 5110.38 must be secured for spirits for domestic use or export as provided in 27 CFR 5.26-5.27 before processors... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula requirements....

  16. Matched Formulas and Backdoor Sets

    Directory of Open Access Journals (Sweden)

    Stefan Szeider

    2008-09-01

    Full Text Available We demonstrate hardness results for the detection of small backdoor sets with respect to base classes Mr of CNF formulas with maximum deficiency ≤ r (M0 is the class of matched formulas. One of the results applies also to a wide range of base classes with added ‘empty clause detection’ as recently considered by Dilkina, Gomes, and Sabharwal. We obtain the hardness results in the framework of parameterized complexity, considering the upper bound on the size of smallest backdoor sets as the parameter. Furthermore we compare the generality of the parameters maximum deficiency and the size of a smallest Mr-backdoor set.

  17. Geometric formula for prism deflection

    Indian Academy of Sciences (India)

    Apoorva G Wagh; Veer Chand Rakhecha

    2004-08-01

    While studying neutron deflections produced by a magnetic prism, we have stumbled upon a simple `geometric' formula. For a prism of refractive index close to unity, the deflection simply equals the product of the refractive power − 1 and the base-to-height ratio of the prism, regardless of the apex angle. The base and height of the prism are measured respectively along and perpendicular to the direction of beam propagation within the prism. The geometric formula greatly simplifies the optimisation of prism parameters to suit any specific experiment.

  18. Betatron Tune Determination: Interpolation Formulas

    CERN Document Server

    Fabre, Ignacio

    2015-01-01

    In order to obtain accurate estimations of the betatron tune, interpolation formulas have been derived that give estimates that approaches the real tune as $1/N^2$ and $1/N^4$ for signals of constant amplitude. In this document interpolation formulas for signals with exponential decaying amplitudes are derived, and its errors are analyzed as a function of the input signal size and the decay constant. We obtain the same scaling law of $1/N^2$ for the case of constant amplitude, and an improvement over the previous methods in the case of decaying amplitude. Lower boundaries for the errors were observed, and methods for surpass this were analyzed.

  19. Orbifold techniques in degeneration formulas

    CERN Document Server

    Abramovich, Dan

    2011-01-01

    We give an approach for relative and degenerate Gromov--Witten invariants, inspired by that of Jun Li but replacing predeformable maps by transversal maps to a twisted target. The main advantage is a significant simplification in the definition of the obstruction theory. We reprove in our language the degeneration formula, extending it to the orbifold case.

  20. Recurrence Formulas for Fibonacci Sums

    CERN Document Server

    Brandao, Adilson J V

    2008-01-01

    In this article we present a new recurrence formula for a finite sum involving the Fibonacci sequence. Furthermore, we state an algorithm to compute the sum of a power series related to Fibonacci series, without the use of term-by-term differentiation theorem

  1. CHY formula and MHV amplitudes

    Science.gov (United States)

    Du, Yi-Jian; Teng, Fei; Wu, Yong-Shi

    2016-05-01

    In this paper, we study the relation between the Cachazo-He-Yuan (CHY) formula and the maximal-helicity-violating (MHV) amplitudes of Yang-Mills and gravity in four dimensions. We prove that only one special rational solution of the scattering equations found by Weinzierl supports the MHV amplitudes. Namely, localized at this solution, the integrated CHY formula produces the Parke-Taylor formula for MHV Yang-Mills amplitudes as well as the Hodges formula for MHV gravitational amplitudes, with an arbitrary number of external gluons/gravitons. This is achieved by developing techniques, in a manifestly Möbius covariant formalism, to explicitly compute relevant reduced Pfaffians/determinants. We observe and prove two interesting properties (or identities), which facilitate the computations. We also check that all the other ( n - 3)! - 1 solutions to the scattering equations do not support the MHV amplitudes, and prove analytically that this is indeed true for the other special rational solution proposed by Weinzierl, that actually supports the anti-MHV amplitudes. Our results reveal a mysterious feature of the CHY formalism that in Yang-Mills and gravity theory, solutions of scattering equations, involving only external momenta, somehow know about the configuration of external polarizations of the scattering amplitudes.

  2. Formulas for determining rotational constants

    Science.gov (United States)

    Guelachvili, G.

    This document is part of Subvolume B `Linear Triatomic Molecules', Part 9, of Volume 20 `Molecular Constants mostly from Infrared Spectroscopy' of Landolt-Börnstein Group II `Molecules and Radicals'. Part of the introduction, it states formulas for determining rotational constants, band center, band origin, and quadrupole coupling. Specific comments relate to BHO (HBO) and COS (OCS).

  3. Error estimates for quadrature formulas

    Energy Technology Data Exchange (ETDEWEB)

    Kalaida, A.F. [Kiev State Univ. (Ukraine)

    1994-06-05

    We construct two-sided polynomials of collocation type of the same order as a given system of basis functions according to a given ordered system of nodes of arbitrary multiplicity and according to a system of nodes displaced to the right (or to the left) at one position. Numerical estimates are given for the remaining terms of the quadrature formulas. 3 refs.

  4. The generalized Euler's formula from Poisson's summation formula and some applications

    International Nuclear Information System (INIS)

    The generalized Euler's formula is derived from Poisson's summation formula. In special cases, it reduces to the ordinary Euler's formula and Walfisz formula in one dimension. As an application, the generalized Euler's formula is used to calculate the expression for the number of quantum states of a single non-relativistic particle in a rectangular three-dimensional box of finite size. (Author)

  5. The Callias index formula revisited

    CERN Document Server

    Gesztesy, Fritz

    2016-01-01

    These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970’s, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.

  6. Strategic Consolidation under Formula Apportionment

    OpenAIRE

    Buettner, Thiess; Riedel, Nadine; Runkel, Marco

    2008-01-01

    This paper argues that profit-shifting activities of multi-jurisdictional enterprises (MJE) are maintained under a tax system of consolidation and formula apportionment (FA). A theoretical model discusses how an MJE can exploit its impact on the definition of the consolidated group strategically. The analysis shows that the MJE will run individual affiliates as separate un-consolidated firms for tax purposes if intra-group tax-rate differences, and thereby potential gains from profit-shifting...

  7. Analyzing Walksat on random formulas

    CERN Document Server

    Coja-Oghlan, Amin

    2011-01-01

    Let F be a uniformly distributed random k-SAT formula with n variables and m clauses. We prove that the Walksat algorithm from Papadimitriou (FOCS 1991)/Schoning (FOCS 1999) finds a satisfying assignment of F in polynomial time w.h.p. if m/n0. This is an improvement by a factor of $\\Theta(k)$ over the best previous analysis of Walksat from Coja-Oghlan, Feige, Frieze, Krivelevich, Vilenchik (SODA 2009).

  8. Hydrolyzed Formula for Every Infant?

    Science.gov (United States)

    Fleischer, David M; Venter, Carina; Vandenplas, Yvan

    2016-01-01

    Presently, hydrolyzed formulas (HF) are used primarily in infants that cannot be exclusively breastfed, those with cow's milk allergy and for primary prevention of allergic disease, but HFs are increasingly being used worldwide, begging the question if they may be recommended as the optimal choice for all standard-risk, full-term, non-exclusively breastfed infants. Data regarding the nutritional adequacy of modern-day HFs are scarce and lack long-term data suggesting that growth in infants fed HF versus an intact protein formula (IPF) is different. While human breast milk is the optimal source of nutrition for multiple reasons, a 2006 systematic review determined there were no comparable long-term studies regarding prolonged use of HFs versus breastfeeding. Meta-analyses of formula consumption and risk of atopic dermatitis (AD) have found that infants fed partially HF compared to IPF had a lower risk of AD, but there are significant limitations to these studies, making conclusions about the general use of HFs problematic. Costs should be considered in decision-making regarding the choice of the formula, but global comparison of this is difficult given large cost differences in different countries. Despite the issues raised here, the desire to provide concrete recommendations of widespread HF use needs to be balanced carefully in order not to overstate claims of benefit. Long-term studies are needed to investigate the feasibility of HF as a routine feeding option for healthy, standard-risk infants. Because of the paucity of data, routine use of HF as an equivalent option to breastfeeding or IPF cannot be supported at present based on available scientific evidence. PMID:27336594

  9. Discretization formulas for unstructured grids

    Science.gov (United States)

    Baumeister, Kenneth J.

    1988-01-01

    The Galerkin weighted residual technique using linear triangular weight functions is employed to develop finite difference formula in cartesian coordinates for the Laplacian operator, first derivative operators and the function for unstructured triangular grids. The weighted residual coefficients associated with the weak formulation of the Laplacian operator are shown to agree with the Taylor series approach on a global average. In addition, a simple algorithm is presented to determine the Voronoi (finite difference) area of an unstructured grid.

  10. How to Save Money on Infant Formula

    Science.gov (United States)

    ... gov/ency/patientinstructions/000805.htm How to Save Money on Infant Formula To use the sharing features ... ways you can save money on infant formula . Money-Saving Ideas Here are a few ways to ...

  11. Antibiotics, Formula Feeding Might Change Baby's 'Microbiome'

    Science.gov (United States)

    ... nih.gov/medlineplus/news/fullstory_159392.html Antibiotics, Formula Feeding Might Change Baby's 'Microbiome' C-section birth ... microbiomes" are altered by cesarean births, antibiotics and formula feeding. "The microbiome is really important in how ...

  12. A Wald-like Formula for Energy

    OpenAIRE

    Amsel, Aaron J.; Gorbonos, Dan

    2012-01-01

    We present a simple "Wald-like" formula for gravitational energy about a constant curvature background spacetime. The formula is derived following the Abbott-Deser-Tekin approach for the definition of conserved asymptotic charges in higher-derivative gravity.

  13. Simple and Clear Proofs of Stirling's Formula

    Science.gov (United States)

    Niizeki, Shozo; Araki, Makoto

    2010-01-01

    The purpose of our article is to show two simpler and clearer methods of proving Stirling's formula than the traditional and conventional ones. The distinction of our method is to use the simple trapezoidal formula.

  14. Lefschetz Formulae for p-Adic Groups

    Institute of Scientific and Technical Information of China (English)

    2007-01-01

    In this paper, Lefschetz formulae for torus actions on p-adic groups are proven.These are similar to comparable formulae for real Lie groups. Applications lie in the realm of dynamical zeta functions.

  15. Some results on numerical divided difference formulas

    Institute of Scientific and Technical Information of China (English)

    Wang; Xinghua; Wang; Heyu; Ming-Jun; Lai

    2005-01-01

    The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions.

  16. Formulaic speech in disorders of language

    Directory of Open Access Journals (Sweden)

    Diana Sidtis

    2014-04-01

    Formulaic language studies remain less well recognized in language disorders. Profiles of differential formulaic language abilities in neurological disease have implications for cerebral models of language and for clinical evaluation and treatment of neurogenic language disorders.

  17. Analogues of a transformation formula of Ramanujan

    OpenAIRE

    Dixit, Atul

    2009-01-01

    We derive two new analogues of a transformation formula of Ramanujan involving the Gamma and Riemann zeta functions present in the Lost Notebook. Both involve infinite series consisting of Hurwitz zeta functions and yield modular relations. As a special case of the first formula, we obtain an identity involving polygamma functions given by Andrew P. Guinand and as a limiting case of the second formula, we derive the transformation formula of Ramanujan.

  18. Some practical Runge-Kutta formulas

    International Nuclear Information System (INIS)

    A new selection is made of the most practical of the many explicit Runge-Kutta formulas of order 4 which have been proposed. A new formula is considered, formulas are modified to improve their quality and efficiency in agreement with improved understanding of the issues, and formulas are derived which permit interpolation. It is possible to do a lot better than the pair of Fehlberg currently regarded as ''best''

  19. Formula Approaches for Market Access Negotiations

    OpenAIRE

    2002-01-01

    Most of the large tariff reductions achieved in multilateral trade negotiations have involved tariff-cutting formulas such as the ‘Swiss’ formula. Wide variations in initial tariff rates between active participants, however, call for new approaches under the Doha Development Agenda. This Paper surveys a range of formula options and examines both targeted and flexible applications of the Swiss formula that target tariff escalation and peaks, and would allow policymakers to directly target how ...

  20. A dimensionally continued Poisson summation formula

    OpenAIRE

    Johnson-McDaniel, Nathan K.

    2010-01-01

    We generalize the standard Poisson summation formula for lattices so that it operates on the level of theta series, allowing us to introduce noninteger dimension parameters (using the dimensionally continued Fourier transform). When combined with one of the proofs of the Jacobi imaginary transformation of theta functions that does not use the Poisson summation formula, our proof of this generalized Poisson summation formula also provides a new proof of the standard Poisson summation formula f...

  1. On an improved effective range formula

    International Nuclear Information System (INIS)

    A new effective range formula is derived using a conformal mapping variable that incorporates the knowledge of the left-hand cut. Our formula is valid up to higher energies and has good convergence and extrapolation properties. As an illustration, we use the formula for a study of the S and P waves in the n-p scattering. (author)

  2. 10 CFR 905.33 - Extension formula.

    Science.gov (United States)

    2010-01-01

    ... 10 Energy 4 2010-01-01 2010-01-01 false Extension formula. 905.33 Section 905.33 Energy DEPARTMENT... formula. (a) The amount of power to be extended to an existing customer shall be determined according to this formula: Customer Contract Rate of Delivery (CROD) today/total project CROD under contract...

  3. 28 CFR 38.2 - Formula grants.

    Science.gov (United States)

    2010-07-01

    ... 28 Judicial Administration 1 2010-07-01 2010-07-01 false Formula grants. 38.2 Section 38.2 Judicial Administration DEPARTMENT OF JUSTICE EQUAL TREATMENT FOR FAITH-BASED ORGANIZATIONS § 38.2 Formula... cooperative agreement funded by a formula or block grant from the Department. As used in this section,...

  4. 25 CFR 273.31 - Distribution formula.

    Science.gov (United States)

    2010-04-01

    ... 25 Indians 1 2010-04-01 2010-04-01 false Distribution formula. 273.31 Section 273.31 Indians... formula. (a) Funds shall be distributed to eligible contractors based upon the number of eligible Indian... formula. (b) The Assistant Secretary may make exceptions to the provisions of paragraph (a) of...

  5. 15 CFR 923.110 - Allocation formula.

    Science.gov (United States)

    2010-01-01

    ... 15 Commerce and Foreign Trade 3 2010-01-01 2010-01-01 false Allocation formula. 923.110 Section... Grants § 923.110 Allocation formula. (a) As required by subsection 306(a), the Secretary may make grants...) Allocation formula factors and weighting. Each State eligible to receive a financial assistance award...

  6. 27 CFR 26.31 - Formula.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula. 26.31 Section 26... States From Areas Other Than Puerto Rico and the Virgin Islands § 26.31 Formula. (a) The amount of excise.... The formula shall be as follows: (1) Multiply the total excise taxes collected on rum brought into...

  7. 27 CFR 20.91 - Formula.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula. 20.91 Section 20... TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process § 20.91 Formula. (a) Each article made with specially denatured spirits shall be made in accordance...

  8. The Verlinde formula for Higgs bundles

    CERN Document Server

    Andersen, Jørgen Ellegaard; Pei, Du

    2016-01-01

    We propose and prove the Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. This generalizes the equivariant Verlinde formula for the case of $SU(n)$ proposed previously by the second and third author. We further establish a Verlinde formula for the quantization of parabolic Higgs bundle moduli spaces and stacks.

  9. Relations Among Some Fuzzy Entropy Formulae

    Institute of Scientific and Technical Information of China (English)

    卿铭

    2004-01-01

    Fuzzy entropy has been widely used to analyze and design fuzzy systems, and many fuzzy entropy formulae have been proposed. For further in-deepth analysis of fuzzy entropy, the axioms and some important formulae of fuzzy entropy are introduced. Some equivalence results among these fuzzy entropy formulae are proved, and it is shown that fuzzy entropy is a special distance measurement.

  10. AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

    Institute of Scientific and Technical Information of China (English)

    Ying-guang Shi

    2001-01-01

    As we know, a solution of an extremal problem with Hermite interpolation constraints is a system of nodes of corresponding Gaussian Hermite quadrature formula (the so-called Jacobi approach). But this conclusion is violated for a Birkhoff quadrature formula. In this paper an extremal problem with Birkhoff interpolation constraints is discussed, from which a large class of Birkhoff quadrature formulas may be derived.

  11. Kac formulas for the extended Virasoro algebras

    International Nuclear Information System (INIS)

    The determination method of the conformal dimension (Kac formula) of the primary fields in the minimal models with c < 1 from the point of G/H picture is generalized. As a result all the known formulas are reproduced. Furthermore the rather general Kac formulas are derived. The connection between the ordinary method and our method is discussed. (author)

  12. 27 CFR 24.196 - Formula required.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.196... OF THE TREASURY LIQUORS WINE Production of Special Natural Wine § 24.196 Formula required. Before producing any special natural wine, the proprietor shall receive approval of the formula by which it is...

  13. 7 CFR 251.7 - Formula adjustments.

    Science.gov (United States)

    2010-01-01

    ... 7 Agriculture 4 2010-01-01 2010-01-01 false Formula adjustments. 251.7 Section 251.7 Agriculture... GENERAL REGULATIONS AND POLICIES-FOOD DISTRIBUTION THE EMERGENCY FOOD ASSISTANCE PROGRAM § 251.7 Formula adjustments. Formula adjustments. (a) Commodity adjustments. The Department will make annual adjustments...

  14. 27 CFR 24.201 - Formula required.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.201... OF THE TREASURY LIQUORS WINE Production of Agricultural Wine § 24.201 Formula required. Before producing any agricultural wine, the proprietor shall obtain an approval of the formula and process by...

  15. 27 CFR 24.211 - Formula required.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula required. 24.211... OF THE TREASURY LIQUORS WINE Production of Other Than Standard Wine § 24.211 Formula required. The proprietor who desires to produce wine other than standard wine shall first obtain approval of the formula...

  16. 24 CFR 574.130 - Formula allocations.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 3 2010-04-01 2010-04-01 false Formula allocations. 574.130... URBAN DEVELOPMENT COMMUNITY FACILITIES HOUSING OPPORTUNITIES FOR PERSONS WITH AIDS Formula Entitlements § 574.130 Formula allocations. (a) Data sources. HUD will allocate funds based on the number of cases...

  17. Rice formulas and Gaussian waves

    CERN Document Server

    Azaïs, Jean-Marc; Wschebor, Mario

    2011-01-01

    We use Rice's formulas in order to compute the moments of some level functionals which are linked to problems in oceanography and optics: the number of specular points in one and two dimensions, the distribution of the normal angle of level curves and the number of dislocations in random wavefronts. We compute expectations and in some cases, also second moments of such functionals. Moments of order greater than one are more involved, but one needs them whenever one wants to perform statistical inference on some parameters in the model or to test the model itself. In some cases we are able to use these computations to obtain a Central Limit Theorem.

  18. Whiteness formula in CIELAB uniform color space

    Institute of Scientific and Technical Information of China (English)

    Guoxin He; Mingxun Zhou

    2007-01-01

    @@ Many attempts have been made to standardize the calculation of whiteness. Whiteness formulas currently in use satisfactorily characterize the appearance of commercial whiteness. However, they have poor correlations with the observers' evaluations, and are often unsuccessful in assessing tinted white samples.A whiteness formula in the CIELAB uniform color space is developed in this paper. Several whiteness formulas are analyzed and compared. The experimental results show that the whiteness formula in the CIELAB uniform color space agrees well with the visual ranking, and it is superior to the CIE whiteness formula and the others in visual correlativity, uniformity and applicability.

  19. Cottingham formula and nucleon polarisabilities

    International Nuclear Information System (INIS)

    The difference between the electromagnetic self-energies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections - provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment. (orig.)

  20. Multidimensional Datawarehouse with Combination Formula

    CERN Document Server

    Warnars, Spits

    2010-01-01

    Multidimensional in data warehouse is a compulsion and become the most important for information delivery, without multidimensional Multidimensional in data warehouse is a compulsion and become the most important for information delivery, without multidimensional datawarehouse is incomplete. Multidimensional give ability to analyze business measurement in many different ways. Multidimensional is also synonymous with online analytical processing (OLAP). By using some concepts in datawarehouse like slice-dice,drill down and roll up will increase the ability of multidimensional datawarehouse. The research question and the discussing for this paper are how much deepest the multidimensional ability from each fact table in datawarehouse. By using the statistic combination formula we try to explore the combination that can be yielded from each dimension in hypercubes, the entire of dimensi combination, minimum combination and maximum combination.

  1. Cottingham formula and nucleon polarisabilities

    Energy Technology Data Exchange (ETDEWEB)

    Gasser, J.; Leutwyler, H. [Universitaet Bern, Albert Einstein Center for Fundamental Physics, Institut fuer theoretische Physik, Bern (Switzerland); Hoferichter, M. [Universitaet Bern, Albert Einstein Center for Fundamental Physics, Institut fuer theoretische Physik, Bern (Switzerland); Technische Universitaet Darmstadt, Institut fuer Kernphysik, Darmstadt (Germany); GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, ExtreMe Matter Institute EMMI, Darmstadt (Germany); University of Washington, Institute for Nuclear Theory, Seattle, WA (United States); Rusetsky, A. [Universitaet Bonn, Helmholtz-Institut fuer Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Bonn (Germany)

    2015-08-15

    The difference between the electromagnetic self-energies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections - provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment. (orig.)

  2. Black hole interior mass formula

    International Nuclear Information System (INIS)

    We argue by explicit computations that, although the area product, horizon radii product, entropy product, and irreducible mass product of the event horizon and Cauchy horizon are universal, the surface gravity product, the surface temperature product and the Komar energy product of the said horizons do not seem to be universal for Kerr-Newman black hole spacetimes. We show the black hole mass formula on the Cauchy horizon following the seminal work by Smarr [Phys Rev Lett 30:71 (1973), Phys Rev D 7:289 (1973)] for the outer horizon. We also prescribe the four laws of black hole mechanics for the inner horizon. A new definition of the extremal limit of a black hole is discussed. (orig.)

  3. Cosmological parallax-distance formula

    Science.gov (United States)

    Singal, Ashok K.

    2015-09-01

    The standard cosmological parallax-distance formula, as found in the literature, including text-books and reference books on cosmology, requires a correction. This correction stems from the fact that in the standard text-book derivation it has been ignored that any chosen baseline in a gravitationally bound system does not partake in the cosmological expansion. Though the correction is available in the literature for some time, the text-books still continue to use the older, incorrect formula, and its full implications are not yet fully realized. Apart from providing an alternate correct, closed-form expression that is more suitable and convenient for computations for certain limiting cases of FRW () world models, we also demonstrate how one can compute parallax distance for the currently favored flat-space accelerating-universe (, ) cosmologies. Further, we show that the correction in parallax distance at large redshifts could amount to a factor of three or even more. Moreover, even in an infinite universe the parallax distance does not increase indefinitely with redshift and that even the farthest possible observable point may have a finite parallax angle, a factor that needs to be carefully taken into account when using distant objects as the background field against which the parallax of a foreground object is to be measured. Some other complications that could arise in parallax measurements of a distant source, like that due to the deflection of incoming light by the gravitation field of the Sun and other planetary bodies in the solar system, are pointed out.

  4. Welfare Effects of Tariff Reduction Formulas

    DEFF Research Database (Denmark)

    Guldager, Jan G.; Schröder, Philipp J.H.

    WTO negotiations rely on tariff reduction formulas. It has been argued that formula approaches are of increasing importance in trade talks, because of the large number of countries involved, the wider dispersion in initial tariffs (e.g. tariff peaks) and gaps between bound and applied tariff rates....... This paper presents a two country intra-industry trade model with heterogeneous firms subject to high and low tariffs. We examine the welfare effects of applying three different tariff reduction formulas proposed in the literature i) a proportional cut, ii) the Swiss formula and iii) a compression...... formula. No single formula dominates for all conditions. The ranking of the three tools depends on the degree of product differentiation in the industry, and the achieved reduction in the average tariff....

  5. Mathematical Formula Search using Natural Language Queries

    Directory of Open Access Journals (Sweden)

    YANG, S.

    2014-11-01

    Full Text Available This paper presents how to search mathematical formulae written in MathML when given plain words as a query. Since the proposed method allows natural language queries like the traditional Information Retrieval for the mathematical formula search, users do not need to enter any complicated math symbols and to use any formula input tool. For this, formula data is converted into plain texts, and features are extracted from the converted texts. In our experiments, we achieve an outstanding performance, a MRR of 0.659. In addition, we introduce how to utilize formula classification for formula search. By using class information, we finally achieve an improved performance, a MRR of 0.690.

  6. Elements and formulae of special relativity

    CERN Document Server

    Guggenheim, E A

    2013-01-01

    Elements and Formulae of Special Relativity presents elements and formulas of the theory of special relativity and covers topics ranging from kinematics and propagation of light to mechanics of single bodies, hydrodynamics, and thermodynamics. Vector operators, electromagnetic fields, electrodynamics, and statistical mechanics are also explored. This book is comprised of 13 chapters and begins by introducing the reader to the kinematics of special relativity, paying particular attention to formulas required for transformations between two frames of reference. Attention then turns to the propag

  7. Developing a Weighted Collection Development Allocation Formula

    OpenAIRE

    Bailey, Jeff; Creibaum, Linda

    2015-01-01

    In this session the presenters demonstrated and discussed how to create a spreadsheet‐based library collection development allocation formula to help acquisitions personnel better manage their library’s limited collection development resources. The presenters demonstrated and led participants through Arkansas State University’s process of creating an Excel‐based formula that utilizes criteria relevant to their specific library and institution. Key to the success of this formula is the use of ...

  8. Rotational Crofton formulae for flagged intrinsic volumes

    DEFF Research Database (Denmark)

    Auneau, Jeremy Michel

    integration is over all sections containing the fixed point origo. Our main result is a local stereological analogue to the well-known Crofton formula. More precisely, we derive geometric formulae that relate new flagged intrinsic volumes of a set with the flagged intrinsic volumes of its sections, . The...... development of a potential local stereological analogue of the famous principal kinematic formula is also discussed....

  9. A General Framework for Probabilistic Characterizing Formulae

    DEFF Research Database (Denmark)

    Sack, Joshua; Zhang, Lijun

    2012-01-01

    Recently, a general framework on characteristic formulae was proposed by Aceto et al. It offers a simple theory that allows one to easily obtain characteristic formulae of many non-probabilistic behavioral relations. Our paper studies their techniques in a probabilistic setting. We provide a...... general method for determining characteristic formulae of behavioral relations for probabilistic automata using fixed-point probability logics. We consider such behavioral relations as simulations and bisimulations, probabilistic bisimulations, probabilistic weak simulations, and probabilistic forward...

  10. The fringe capacitance formula of microstructures

    International Nuclear Information System (INIS)

    This paper presents a fringe capacitance formula of microstructures. The formula is derived by curve fitting on ANSYS simulation results. Compared with the ANSYS and experimental results, the deviation is within ±2%. The application to determine the pull-in voltage of an electrostatic micro-beam is demonstrated, which agrees very well with the experimental data. The formula presented is very accurate, yields explicit physical meanings and is applicable to common dimension ranges for MEMS devices. (paper)

  11. Column Holdup Formula of Soil Solute Transport

    Institute of Scientific and Technical Information of China (English)

    2000-01-01

    The shortcomings of the present two formulae for describing column holdup are analyzed and deductions are made to find a new formula. The column holdup, Hw, described by the new formula is dimensional,and related to soil solute transport kinesis and column physical properties. Compared with the other two column holdups, Hw is feasible to describe dimensional column holdup during solute transport process. The relationships between Hw and retardation factor, R, in different solute transport boundary conditions are established.

  12. Poincare's relativistic Doppler-Fizeau formula

    OpenAIRE

    Pierseaux, Yves

    2006-01-01

    We deduce from Poincare's ellipsoidal wavefronts a relativistic Doppler-Fizeau formula that is not the same as 1905 Einstein's one. Longitudinally, Einstein's formula and Poincare's formula are the same. The question of an experimental test is connected with the possibility or the impossibility of directly measuring the relativistic transverse effect. Hasselkamp's 1978 experiment becomes a crucial experiment because Poincare's relativistic kinematics predicts an expansion of sapce directly co...

  13. Non-Commutative Q-Binomial Formula

    OpenAIRE

    Nalci, Sengul; Pashaev, Oktay

    2012-01-01

    In this paper, we found new q-binomial formula for Q-commutative operators. Expansion coefficients in this formula are given by q-binomial coefficients with two bases (q,Q), determined by Q-commutative q-Pascal triangle. Our formula generalizes all well-known binomial formulas in the form of Newton, Gauss, symmetrical, non-commutative and Binet-Fibonacci binomials. By our non-commutative q-binomial, we introduce q-analogue of function of two non-commutative variables, which could be used in s...

  14. Superfluid Kubo Formulas from Partition Function

    CERN Document Server

    Chapman, Shira; Oz, Yaron

    2014-01-01

    Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are non-dissipative and affect the fluid dynamics at equilibrium. We present an algebraic framework for deriving Kubo formulas for such thermal transport coefficients by using the equilibrium partition function. We use the framework to derive Kubo formulas for all such transport coefficients of superfluids, as well as to rederive Kubo formulas for various normal fluid systems.

  15. A rotational integral formula for intrinsic volumes

    DEFF Research Database (Denmark)

    Jensen, Eva Bjørn Vedel; Rataj, J.

    2008-01-01

    A rotational version of the famous Crofton formula is derived. The motivation for deriving the formula comes from local stereology, a new branch of stereology based on sections through fixed reference points. The formula shows how rotational averages of intrinsic volumes measured on sections...... passing through fixed points are related to the geometry of the sectioned object. In particular it is shown how certain weighting factors, appearing in the rotational integral formula, can be expressed in terms of hypergeometric functions. Close connections to geometric tomography will be pointed out...

  16. Rotational versions of the Crofton formula

    DEFF Research Database (Denmark)

    Jensen, Eva B. Vedel

    1995-01-01

    Inspired by recent developments in stereology, rotational versions of the Crofton formula are derived. The first version involves rotation averages of Minkowski functionals. It is shown that for the special case where the Minkowski functional is surface area, the rotation average can be expressed...... in terms of hypergeometric functions. The second rotational version of the Crofton formula solves the `opposite' problem of finding functions with rotation averages equal to the Minkowski functionals. For the case of surface area, hypergeometric functions appear again. The second type of rotational...... Crofton formula has applications in local stereology. As a by-product, a formula involving mixed volumes is found....

  17. AN ANALYTICAL REFLECTION OF FORMULAIC LANGUAGE

    Institute of Scientific and Technical Information of China (English)

    LiuSiping

    2004-01-01

    This paper gives a brief panorama of formulaic language, inwhich some of the author's analytical and critical reflections canbe found. First, a rough review is made of various definitionsand identification of formulaic language, a topic that hasremained unsettled to date (Wray, 2000 ). Among thediversified terminology, my own definition is included as areflection of my understating. Next, transferability ofunanalysed formulae to analytical competence, will follow. Asthis topic has aroused heated discussion, it is very hard to reacha consensus. The last section, under the title of rationale andfunctions, is devoted to various features of formulaic language,which include econornicality, acceptability, dependability, anddifficulty.

  18. Efficient formulas for efficiency correction of cumulants

    CERN Document Server

    Kitazawa, Masakiyo

    2016-01-01

    We derive formulas which connect cumulants of particle numbers observed with efficiency losses with the original ones based on the binomial model. These formulas can describe the case with multiple efficiencies in a compact form. Compared with the presently suggested ones based on factorial moments, these formulas would drastically reduce the numerical cost for efficiency corrections when the order of the cumulant and the number of different efficiencies are large. The efficiency correction with realistic $p_T$-dependent efficiency would be carried out with the aid of these formulas.

  19. Luescher formula for GKP string

    CERN Document Server

    Basso, B

    2011-01-01

    We investigate finite-size corrections to anomalous dimensions of large-spin twist-two operators in the planar maximally supersymmetric Yang-Mills theory. We develop a framework for analysis of these corrections, that is complementary to the conventional spin-chain approach, by making use of the hole rather than the magnon picture. From the dual string theory perspective where the large-spin operator is identified with the Gubser-Klebanov-Polyakov (GKP) string, our approach is equivalent to constructing the first Luescher correction to the energy of the GKP string by incorporating the contribution of virtual excitations propagating on it. It allows us to propose a formula that controls a particular class of large-spin corrections to the twist-two anomalous dimension and holds at any value of the coupling constant. Compared to wrapping corrections computed with magnons propagating on the spin chain, the finite-size corrections that are encoded in our formalism start at a lower loop level. Our formalism thus ca...

  20. Preclinical assessment of infant formula.

    Science.gov (United States)

    Lönnerdal, Bo

    2012-01-01

    Infant formulas are the sole or predominant source of nutrition for many infants and are fed during a sensitive period of development and may therefore have short- and long-term consequences for infant health. Preclinical safety assessment therefore needs to include both short-term and long-term studies in animals. It is recommended that procedures are instituted by which experts may serve as independent scientists for companies developing novel products, without having their integrity compromised, and later serve the legislative institutions. A two-level assessment approach to determine the potential toxicity of a novel ingredient, its metabolites, and their effects in the matrix on developing organ systems has been suggested by IOM. This appears reasonable, as novel ingredients can be of different levels of concern. The use of modern methods in genomics and proteomics should be considered in these evaluation processes as well as novel methods to evaluate outcomes, including metabolomics and molecular techniques to assess the microbiome. PMID:22699767

  1. 27 CFR 20.101 - Drafting formulas.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Drafting formulas. 20.101 Section 20.101 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... Process Approval Policies § 20.101 Drafting formulas. (a) In preparing Form 5150.19, the...

  2. Formula Approaches for Market Access Negotiations

    NARCIS (Netherlands)

    J.F. François (Joseph); W. Martin (William)

    2002-01-01

    textabstractMost of the large tariff reductions achieved in multilateral trade negotiations have involved tariff-cutting formulas such as the "Swiss" formula. However, wide variations in initial tariff rates between active participants call for new approaches under the Doha Development Agenda. This

  3. Emergence String and Mass Formulas of Hadrons

    CERN Document Server

    Chang, Yi-Fang

    2011-01-01

    Assume that hadrons are formed from the emergence string. Usual string should possess two moving states: oscillation and rotation, so we propose corresponding potential and the equation of the emergence string, whose energy spectrum is namely the GMO mass formula and its modified accurate mass formula. These are some relations between the string and observable experimental data.

  4. Borromean surgery formula for the Casson invariant

    DEFF Research Database (Denmark)

    Meilhan, Jean-Baptiste Odet Thierry

    2008-01-01

    It is known that every oriented integral homology 3-sphere can be obtained from S3 by a finite sequence of Borromean surgeries. We give an explicit formula for the variation of the Casson invariant under such a surgery move. The formula involves simple classical invariants, namely the framing...

  5. A Choice of a New Funding Formula

    Science.gov (United States)

    Hancock, Kenneth

    2008-01-01

    This report examines the fiscal neutrality of three funding formulas that have been proposed to replace the current funding formula for Oklahoma's common schools in an attempt to have greater equity in the distribution of funds to the various districts. Using data from SY-03 to SY-07, calculations of state aid for the 540- districts and fiscal…

  6. 40 CFR 74.26 - Allocation formula.

    Science.gov (United States)

    2010-07-01

    ... 40 Protection of Environment 16 2010-07-01 2010-07-01 false Allocation formula. 74.26 Section 74.26 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY (CONTINUED) AIR PROGRAMS (CONTINUED) SULFUR DIOXIDE OPT-INS Allowance Calculations for Combustion Sources § 74.26 Allocation formula. (a)...

  7. 38 CFR 9.12 - Reinsurance formula.

    Science.gov (United States)

    2010-07-01

    ... 38 Pensions, Bonuses, and Veterans' Relief 1 2010-07-01 2010-07-01 false Reinsurance formula. 9.12 Section 9.12 Pensions, Bonuses, and Veterans' Relief DEPARTMENT OF VETERANS AFFAIRS SERVICEMEMBERS' GROUP LIFE INSURANCE AND VETERANS' GROUP LIFE INSURANCE § 9.12 Reinsurance formula. The allocation...

  8. Design Formula for Breakage of Tetrapods

    DEFF Research Database (Denmark)

    Burcharth, H. F.; Jensen, Jacob Birk; Liu, Z.;

    1995-01-01

    The paper presents a design formula for Tetrapod armour on a 1:1.5 slope exposed to head-on random wave attack. The formula predicts the relative number of broken Tetrapods as function of: the mass of the Tetrapods, the concrete tensile strength and the wave height in front of the structure. Thus...

  9. How to Save Money on Infant Formula

    Science.gov (United States)

    ... months. Here are some ways you can save money on infant formula . ... Here are a few ways to save money on infant formula: DO NOT buy just one type of baby bottle at first. Try a few different types to see which kind ...

  10. The health implications of soy infant formula

    Science.gov (United States)

    Soy formula (SF) has been fed to millions of infants worldwide. It has been shown to promote growth and development as well as milk-based formula (MF) does. Controversy has developed over the adequacy and safety of SF. Most concerns are based on in vivo and in vitro data that raise the possibility o...

  11. 27 CFR 5.26 - Formula requirements.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula requirements. 5.26 Section 5.26 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.26...

  12. Calculating the Greeks by Cubature formulas

    OpenAIRE

    Teichmann, Josef

    2004-01-01

    We provide cubature formulas for the calculation of derivatives of expected values in the spririt of Terry Lyons and Nicolas Victoir. In financial mathematics derivatives of option prices with respect to initial values, so called Greeks, are of particular importance as hedging parameters. Cubature formulas allow to calculate these quantities very quickly. Simple examples are added to the theoretical exposition.

  13. A Short Proof of Krattenthaler Formulas

    Institute of Scientific and Technical Information of China (English)

    MA Xin Rong

    2002-01-01

    With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we finally found a general pair of inverse relations, called the Krattenthaler formulas. The present paper presents a very short proof of this formula via Lagrange interpolation.Further, our method of proof declares that the Krattenthaler result is unique in the light of Lagrange interpolation.

  14. The propositional formula checker HeerHugo

    NARCIS (Netherlands)

    Groote, J.F.; Warners, J.P.

    1999-01-01

    HeerHugo is a propositional formula checker that determines whether a given formula is satisfiable or not. Its main ingredient is the branch/merge rule, that is inspired by an algorithm proposed by Staa llmarck, which is protected by a software patent. The algorithm can be interpreted as a breadth f

  15. Sample size: from formulae to concepts - II

    Directory of Open Access Journals (Sweden)

    Rakesh R. Pathak

    2013-02-01

    Full Text Available Sample size formulae need some input data or to say it otherwise we need some parameters to calculate sample size. This second part on the formula explanation gives ideas of Z, population size, precision of error, standard deviation, contingency etc which influence sample size. [Int J Basic Clin Pharmacol 2013; 2(1.000: 94-95

  16. 101 ready-to-use Excel formulas

    CERN Document Server

    Alexander, Michael

    2014-01-01

    Mr. Spreadsheet has done it again with 101 easy-to-apply Excel formulas 101 Ready-to-Use Excel Formulas is filled with the most commonly-used, real-world Excel formulas that can be repurposed and put into action, saving you time and increasing your productivity. Each segment of this book outlines a common business or analysis problem that needs to be solved and provides the actual Excel formulas to solve the problem-along with detailed explanation of how the formulas work. Written in a user-friendly style that relies on a tips and tricks approach, the book details how to perform everyday Excel tasks with confidence. 101 Ready-to-Use Excel Formulas is sure to become your well-thumbed reference to solve your workplace problems. The recipes in the book are structured to first present the problem, then provide the formula solution, and finally show how it works so that it can be customized to fit your needs. The companion website to the book allows readers to easily test the formulas and provides visual confirmat...

  17. Lewis Carroll's Formula for Calendar Calculating.

    Science.gov (United States)

    Spitz, Herman H.

    1993-01-01

    This paper presents Lewis Carroll's formula for mentally calculating the day of the week of a given date. The paper concludes that such formulas are too complex for individuals of low intelligence to learn by themselves, and thus "idiots savants" who perform such calendar calculations must be using other systems. (JDD)

  18. Gaussian Integral Formula for Quaternions Based on Class Operator's Formula of Rotation Group

    International Nuclear Information System (INIS)

    There exists rare integration formulas over quaternions due to the noncommutativity of quarternions multiplication. Based on the class operator's formula of rotation group we derive a Gaussian integral formula for quaternions, which is similar in form to the integration for coherent state's completeness relation

  19. Gaussian Integral Formula for Quaternions Based on Class Operator's Formula of Rotation Group

    Institute of Scientific and Technical Information of China (English)

    FAN Hong-Yi; XU Zhi-Hua

    2008-01-01

    There exists rare integration formulas over quaternions due to the noncommutativity of quarternions mult-plication. Based on the class operator's formula of rotation group we derive a Gaussian integral formula for quaternions, which is similar in form to the integration for coherent state's completeness relation.

  20. The Lichnerowicz-Weitzenboeck formula and superconductivity

    Energy Technology Data Exchange (ETDEWEB)

    Vargas-Paredes, Alfredo A.; Doria, Mauro M. [Departamento de Fisica dos Solidos, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro (Brazil); Neto, Jose Abdala Helayeel [Centro Brasileiro de Pesquisas Fisicas, 22290-160 Rio de Janeiro RJ (Brazil)

    2013-01-15

    We derive the Lichnerowicz-Weitzenboeck formula for the two-component order parameter superconductor, which provides a twofold view of the kinetic energy of the superconductor. For the one component order parameter superconductor we review the connection between the Lichnerowicz-Weitzenboeck formula and the Ginzburg-Landau theory. For the two-component case we claim that this formula opens a venue to describe inhomogeneous superconducting states intertwined by spin correlations and charged dislocation. In this case the Lichnerowicz-Weitzenboeck formula displays local rotational and electromagnetic gauge symmetry (SU(2) Circled-Times U(1)) and relies on local commuting momentum and spin operators. The order parameter lives in a space with curvature and torsion described by Elie Cartan geometrical formalism. The Lichnerowickz-Weitzenboeck formula leads to first order differential equations that are a three-dimensional version of the Seiberg-Witten equations.

  1. Menemukan Formula Sinematografi Seni Pertunjukan

    Directory of Open Access Journals (Sweden)

    Arif Eko Suprihono

    2013-11-01

    Full Text Available Fokus dari sinematografi untuk seni pertunjukan dimaksudkan untuk diskusi tentang pembuatan pilihanpencahayaan dan kamera saat merekam aktivitas seni pertunjukan di panggung untuk program televisi. Televisiadalah bentuk di mana sesuatu disampaikan, dicapai, atau ditransfer ke sejumlah besar orang. Isu ‘efek’ televisikehilangan program-program yang mengarah perlu diminta tidak hanya dalam hal efek atau kegiatan penontontetapi juga dalam hal kesempatan yang hilang bagi keanekaragaman budaya yang akan diekspresikan pada kreativitastelevisi. Setiap aspek dari televisi menunjukkan ketergantungan pada genre, yang merupakan kelompok kategorisproses diskursif yang transek teks melalui interaksi budaya mereka dengan industri, penonton, dan konteks yanglebih luas. Kita mungkin mulai diskusi dengan memulai dengan contoh tekstual seperti ketoprak humor, wayangkulit, opera van java sebagai praktek industri, pergeseran sejarah, atau kontroversi penonton.Kata kunci: sinematografi , seni pertunjukan, ketoprak humorABSTRACTThe Formula of Performing Arts Cinematography. The focus of cinematography for performing arts is intendedto a discussion about the making of lighting and camera choices when recording performing arts activities on stage for thetelevision programs. Television is the form in which something is conveyed, accomplished, or transferred to a large numberof people. The issues of ‘the effects’ of television miss leading programs needs to be asked not only in terms of effects oraudience activity but also in terms of missing opportunities for cultural diversity to be expressed on television creativities.Every aspect of television exhibits a reliance on genre, which are categorical clusters of discursive processes that transect textsvia their cultural interactions with industries, audiences, and broader contexts. We might begin a discussion by startingwith a textual example such as ketoprak humor, wayang kulit, opera van java as an industrial

  2. Effect of individual components of soy formula and cows milk formula on zinc bioavailability

    International Nuclear Information System (INIS)

    Zinc absorption from human milk, cows milk formulas, and soy formulas was studied in human adults by a radioisotope technique using 65Zn and whole body counting. Individual dietary components were investigated for effects on zinc absorption. Phytate was found to have a strong inhibitory effect on zinc absorption; addition of phytate to cows milk formula (yielding a phytate concentration similar to that of soy formula) resulted in a decrease in zinc absorption from 31 to 16% similar to the absorption for soy formula (14%). Carbohydrate source, calcium, and zinc levels of the diet did not affect zinc absorption significantly. Iron supplementation of cows milk formula decreased zinc absorption from 24 to 18% although this decrease was not found to be significant (p less than 0.1). Absorption of zinc from a whey-adjusted cows milk formula was higher (31%) than from a nonmodified cows milk formula (22%). Increasing the zinc supplementation level in cows milk formula but not in soy formula increased zinc absorption to approximate that from breast milk. It is suggested that reduction of phytate content of soy formula may be a more effective avenue of modification than increased level of zinc supplementation

  3. 27 CFR 21.66 - Formula No. 38-C.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-C. 21.66... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.66 Formula No. 38-C. (a) Formula. To every 100 gallons of alcohol add:...

  4. 27 CFR 21.70 - Formula No. 39-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39-A. 21.70... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.70 Formula No. 39-A. (a) Formula. To every 100 gallons of alcohol add:...

  5. 27 CFR 21.68 - Formula No. 38-F.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-F. 21.68... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.68 Formula No. 38-F. (a) Formula. To every 100 gallons of alcohol add:...

  6. 27 CFR 21.55 - Formula No. 28-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 28-A. 21.55... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.55 Formula No. 28-A. (a) Formula. To every 100 gallons of alcohol add:...

  7. 27 CFR 21.58 - Formula No. 31-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 31-A. 21.58... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.58 Formula No. 31-A. (a) Formula. To every 100 gallons of alcohol add:...

  8. 27 CFR 21.62 - Formula No. 35-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 35-A. 21.62... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.62 Formula No. 35-A. (a) Formula. To every 100 gallons of alcohol add:...

  9. 27 CFR 21.67 - Formula No. 38-D.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 38-D. 21.67... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.67 Formula No. 38-D. (a) Formula. To every 100 gallons of alcohol add:...

  10. 27 CFR 21.69 - Formula No. 39.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 39. 21.69... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.69 Formula No. 39. (a) Formula. To every 100 gallons of alcohol add:...

  11. 27 CFR 24.127 - Adoption of formulas.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas. 24... Establishment § 24.127 Adoption of formulas. The adoption of approved formulas by a successor proprietor will be... formulas for adoption by formula number, name of product, and date of approval. The application...

  12. 27 CFR 20.115 - Ink general-use formula.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Ink general-use formula..., DEPARTMENT OF THE TREASURY LIQUORS DISTRIBUTION AND USE OF DENATURED ALCOHOL AND RUM Formulas and Statements of Process General-Use Formulas § 20.115 Ink general-use formula. Ink general-use formula is...

  13. 27 CFR 21.38 - Formula No. 4.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 4. 21.38... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.38 Formula No. 4. (a) Formula. To every 100 gallons of alcohol, or to...

  14. 27 CFR 21.39 - Formula No. 6-B.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 6-B. 21.39... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.39 Formula No. 6-B. (a) Formula. To every 100 gallons of alcohol add:...

  15. 27 CFR 21.34 - Formula No. 2-C.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 2-C. 21.34... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.34 Formula No. 2-C. (a) Formula. To every 100 gallons of alcohol add:...

  16. 27 CFR 21.35 - Formula No. 3-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-A. 21.35... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.35 Formula No. 3-A. (a) Formula. To every 100 gallons of alcohol add:...

  17. 27 CFR 21.46 - Formula No. 22.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 22. 21.46... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.46 Formula No. 22. (a) Formula. To every 100 gallons of alcohol add:...

  18. 27 CFR 21.44 - Formula No. 19.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 19. 21.44... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.44 Formula No. 19. (a) Formula. To every 100 gallons of alcohol add:...

  19. 27 CFR 21.33 - Formula No. 2-B.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 2-B. 21.33... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.33 Formula No. 2-B. (a) Formula. To every 100 gallons of alcohol add:...

  20. 27 CFR 21.32 - Formula No. 1.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 1. 21.32... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.32 Formula No. 1. (a) Formula. To every 100 gallons of alcohol add:...

  1. 27 CFR 21.52 - Formula No. 27.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27. 21.52... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.52 Formula No. 27. (a) Formula. To every 100 gallons of alcohol add:...

  2. 27 CFR 21.45 - Formula No. 20.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 20. 21.45... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.45 Formula No. 20. (a) Formula. To every 100 gallons of alcohol add:...

  3. 27 CFR 21.50 - Formula No. 25.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 25. 21.50... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.50 Formula No. 25. (a) Formula. To every 100 gallons of alcohol add:...

  4. 27 CFR 21.37 - Formula No. 3-C.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-C. 21.37... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.37 Formula No. 3-C. (a) Formula. To every 100 gallons of alcohol add:...

  5. 27 CFR 21.42 - Formula No. 17.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 17. 21.42... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.42 Formula No. 17. (a) Formula. To every 100 gallons of alcohol add:...

  6. 27 CFR 21.36 - Formula No. 3-B.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 3-B. 21.36... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.36 Formula No. 3-B. (a) Formula. To every 100 gallons of alcohol add:...

  7. 27 CFR 21.24 - Formula No. 20.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 20. 21.24... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.24 Formula No. 20. (a) Formula. To every 100 gallons of ethyl alcohol of not less than 195...

  8. 27 CFR 21.43 - Formula No. 18.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 18. 21.43... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.43 Formula No. 18. (a) Formula. To every 100 gallons of alcohol of not...

  9. Overtopping of Berm Breakwaters Extension of Overtopping Formula

    DEFF Research Database (Denmark)

    Andersen, Thomas Lykke; Burcharth, H. F.

    2005-01-01

    ) formula and the present improved formula. However, for a more stable structure and low wave steepness the improved formula performs better. Six different data sets are used to study the validity of the Lykke Andersen & Burcharth (2004) formula, the present improved formula and the CLASH neural network...

  10. 27 CFR 21.63 - Formula No. 36.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 36. 21.63... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.63 Formula No. 36. (a) Formula. To every 100 gallons of alcohol add:...

  11. 27 CFR 21.56 - Formula No. 29.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 29. 21.56... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.56 Formula No. 29. (a) Formula. To every 100 gallons of alcohol add:...

  12. 27 CFR 21.60 - Formula No. 33.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 33. 21.60... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.60 Formula No. 33. (a) Formula. To every 100 gallons of alcohol add:...

  13. 27 CFR 21.61 - Formula No. 35.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 35. 21.61... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.61 Formula No. 35. (a) Formula. To every 100 gallons of alcohol add:...

  14. 27 CFR 21.57 - Formula No. 30.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 30. 21.57... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.57 Formula No. 30. (a) Formula. To every 100 gallons of alcohol add:...

  15. 27 CFR 21.59 - Formula No. 32.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 32. 21.59... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.59 Formula No. 32. (a) Formula. To every 100 gallons of alcohol add:...

  16. 27 CFR 21.64 - Formula No. 37.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 37. 21.64... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.64 Formula No. 37. (a) Formula. To every 100 gallons of alcohol add:...

  17. 27 CFR 21.48 - Formula No. 23-F.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-F. 21.48... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.48 Formula No. 23-F. (a) Formula. To every 100 gallons of alcohol add:...

  18. 27 CFR 21.53 - Formula No. 27-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27-A. 21.53... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.53 Formula No. 27-A. (a) Formula. To every 100 gallons of alcohol add:...

  19. 27 CFR 21.51 - Formula No. 25-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 25-A. 21.51... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.51 Formula No. 25-A. (a) Formula. To every 100 gallons of alcohol add:...

  20. 27 CFR 21.40 - Formula No. 12-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 12-A. 21.40... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.40 Formula No. 12-A. (a) Formula. To every 100 gallons of alcohol add:...

  1. 27 CFR 21.54 - Formula No. 27-B.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 27-B. 21.54... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.54 Formula No. 27-B. (a) Formula. To every 100 gallons of alcohol add:...

  2. 27 CFR 21.41 - Formula No. 13-A.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 13-A. 21.41... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Specially Denatured Spirits Formulas and Authorized Uses § 21.41 Formula No. 13-A. (a) Formula. To every 100 gallons of alcohol add:...

  3. Fundamental formulas of physics, v.1

    CERN Document Server

    1960-01-01

    The republication of this book, unabridged and corrected, fills the need for a comprehensive work on fundamental formulas of mathematical physics. It ranges from simple operations to highly sophisticated ones, all presented most lucidly with terms carefully defined and formulas given completely. In addition to basic physics, pertinent areas of chemistry, astronomy, meteorology, biology, and electronics are also included.This is no mere listing of formulas, however. Mathematics is integrated into text, for the most part, so that each chapter stands as a brief summary or even short textbook of

  4. Analogues of Euler and Poisson Summation Formulae

    Indian Academy of Sciences (India)

    Vivek V Rane

    2003-08-01

    Euler–Maclaurin and Poisson analogues of the summations $\\sum_{a < n ≤ b}(n)f(n), \\sum_{a < n ≤ b}d(n) f(n), \\sum_{a < n ≤ b}d(n)(n) f(n)$ have been obtained in a unified manner, where (()) is a periodic complex sequence; () is the divisor function and () is a sufficiently smooth function on [, ]. We also state a generalised Abel's summation formula, generalised Euler's summation formula and Euler's summation formula in several variables.

  5. Correction to Moliere's formula for multiple scattering

    International Nuclear Information System (INIS)

    The semiclassical correction to Moliere's formula for multiple scattering is derived. The consideration is based on the scattering amplitude obtained with the first semiclassical correction taken into account for an arbitrary localized but not spherically symmetric potential. Unlike the leading term, the correction to Moliere's formula contains the target density n and thickness L not only in the combination nL (areal density). Therefore, this correction can be referred to as the bulk density correction. It turns out that the bulk density correction is small even for high density. This result explains the wide range of applicability of Moliere's formula

  6. Ricci Curvature and Bochner Formulas for Martingales

    OpenAIRE

    Haslhofer, Robert; Naber, Aaron

    2016-01-01

    We generalize the classical Bochner formula for the heat flow on M to martingales on the path space PM, and develop a formalism to compute evolution equations for martingales on path space. We see that our Bochner formula on PM is related to two sided bounds on Ricci curvature in much the same manner that the classical Bochner formula on M is related to lower bounds on Ricci curvature. Using this formalism, we obtain new characterizations of bounded Ricci curvature, new gradient estimates for...

  7. Approximate formulas for moderately small eikonal amplitudes

    CERN Document Server

    Kisselev, A V

    2015-01-01

    The eikonal approximation for moderately small scattering amplitudes is considered. With the purpose of using for their numerical estimations, the formulas are derived which contain no Bessel functions, and, hence, no rapidly oscillating integrands. To obtain these formulas, the improper integrals of the first kind which contain products of the Bessel functions J_0(z) are studied. The expression with four functions J_0(z) is generalized. The expressions for the integrals with the product of five and six Bessel functions J_0(z) are also found. The known formula for the improper integral with two functions J_nu(z) is generalized for non-integer nu.

  8. [Formula: see text] and [Formula: see text] Spoken Word Processing: Evidence from Divided Attention Paradigm.

    Science.gov (United States)

    Shafiee Nahrkhalaji, Saeedeh; Lotfi, Ahmad Reza; Koosha, Mansour

    2016-10-01

    The present study aims to reveal some facts concerning first language ([Formula: see text] and second language ([Formula: see text] spoken-word processing in unbalanced proficient bilinguals using behavioral measures. The intention here is to examine the effects of auditory repetition word priming and semantic priming in first and second languages of these bilinguals. The other goal is to explore the effects of attention manipulation on implicit retrieval of perceptual and conceptual properties of spoken [Formula: see text] and [Formula: see text] words. In so doing, the participants performed auditory word priming and semantic priming as memory tests in their [Formula: see text] and [Formula: see text]. In a half of the trials of each experiment, they carried out the memory test while simultaneously performing a secondary task in visual modality. The results revealed that effects of auditory word priming and semantic priming were present when participants processed [Formula: see text] and [Formula: see text] words in full attention condition. Attention manipulation could reduce priming magnitude in both experiments in [Formula: see text]. Moreover, [Formula: see text] word retrieval increases the reaction times and reduces accuracy on the simultaneous secondary task to protect its own accuracy and speed. PMID:26643309

  9. The local index formula in noncommutative geometry

    International Nuclear Information System (INIS)

    These notes present a partial account of the local index theorem in non-commutative geometry discovered by Alain Connes and Henri Moscovici. It includes Elliptic partial differential operators, cyclic homology theory, Chern characters, homotopy invariants and the index formulas

  10. Newton Binomial Formulas in Schubert Calculus

    OpenAIRE

    Cordovez, Jorge; Gatto, Letterio; Santiago, Taise

    2008-01-01

    We prove Newton's binomial formulas for Schubert Calculus to determine numbers of base point free linear series on the projective line with prescribed ramification divisor supported at given distinct points.

  11. Towards a realistic neutrino mass formula

    CERN Document Server

    Królikowski, W

    2006-01-01

    A new option of parameter constraint is described for the recently proposed neutrino mass formula involving primarily three free parameters. The option implies the vanishing of a part of mass formula for the lowest mass neutrino, the part which may - in an intuitive model - be identified with its formal "intrinsic selfenergy". However, its actual mass induced then by another part of mass formula is considerable. In this option, our neutrino mass formula predicts all three neutrino masses as m_1 \\sim 2.5 x 10^{-3} eV, m_2 \\sim 9.3 x 10^{-3} eV and m_3 \\sim 5.0 x 10^{-2} eV, when two experimental estimates \\Delta m^2_{21} \\sim 8.0 x 10^{-5} eV^2 and \\Delta m^2_{32} \\sim 2.4 x 10^{-3} eV^2 are applied as an input.

  12. Traction Control System for Formula Student Electric

    Science.gov (United States)

    Houf, Z.; Čeřovský, Z.; Hlinovský, V.

    This paper deals with design of traction control of Formula Student Electric Car. There will introduced new conception of formula traction system and its application to the Formula car. In next season we would like to use 2 motors, each of them will be directly connected to its wheel. This solution needs precise control of them to provide high dynamics and great ability to ride curves in high speeds. Using the same torque on each wheel brings problem when one of wheel loss the traction ability. Some slip could happen and the unexpected lateral movement becomes. There will described the mathematic model of formula car. To reduce slips etc. we will publish the theoretical algorithm that reduces or increases torques on rear wheels to stabilize the car. There will be described what states have to be measured and evaluated. Also places where the sensors will be placed will be shown.

  13. "Formula Student" / Malle Jürves

    Index Scriptorium Estoniae

    Jürves, Malle, 1950-

    2008-01-01

    Tehnikakõrgkooli ja tehnikaülikooli tudengite 17-liikmeline võiskond osales tänavu suvel Inglismaal Silverstone'i ringrajakompleksis peetaval tootearendusvõistlusel "Formula Student" omaehitatud vormelautoga

  14. A note on Marino-Vafa formula

    Institute of Scientific and Technical Information of China (English)

    2006-01-01

    Hodge integrals over moduli spaces of curves appear naturally during the localization procedure in computation of Gromov-Witten invariants. A remarkable formula of Marino-Vafa expresses a generation function of Hodge integrals via some combinatorial and algebraic data seemingly unrelated to these apriori algebraic geometric objects. We prove in this paper by directly expanding the formula and estimating the involved terms carefully that except a specific type all the other Hodge integrals involving up to three Hodge classes can be calculated from this formula. This implies that amazingly rich information about moduli spaces and Gromov-Witten invariants is encoded in this complicated formula. We also give some low genus examples which agree with the previous results in literature. Proofs and calculations are elementary as long as one accepts Mumford relations on the reductions of products of Hodge classes.

  15. FORMULAS OF TENSION OF CONTINUOUS ROLLING PROCESS

    Institute of Scientific and Technical Information of China (English)

    J.Z. Zhang; X.P. Zhang

    2007-01-01

    The development of computer controlled continuous rolling process calls for a mathematicalexpression that can express the inequality condition of "constant flow". Tension is the link of thecontinuous rolling process. From the condition of dynamic equilibrium, a differential equation oftension is given out. On the basis of the physical rules established from the industrial practice andexperimental studies, the law of volume constancy, the linear relation of forward slip and tension,the state equation of continuous rolling, the formula of dynamic tension, and the formula of statictension have been obtained. These formulae reflect the functional relations between tensions,thickness, roll velocity, and time in the continuous rolling process. It is implied that the continuousrolling process is a gradually steady, controllable, and measurable dynamic system. An assumptionof predicting the thickness of a steel plate using these tension formulae is also put forward.

  16. Formula One’s Financial Crisis

    Institute of Scientific and Technical Information of China (English)

    2009-01-01

    The global economic slowdown is bad news for F1 auto racing Formula One (Fl), the world’s most expensive sport, faces major changes next season as Fl teams and the sport’s sanctioning body, the International

  17. A Delayed Black and Scholes Formula I

    OpenAIRE

    Mercedes Arriojas; Yaozhong Hu; Salah-Eldin Mohammed; Gyula Pap

    2006-01-01

    In this article we develop an explicit formula for pricing European options when the underlying stock price follows a non-linear stochastic differential delay equation (sdde). We believe that the proposed model is sufficiently flexible to fit real market data, and is yet simple enough to allow for a closed-form representation of the option price. Furthermore, the model maintains the no-arbitrage property and the completeness of the market. The derivation of the option-pricing formula is based...

  18. Some formulae for double Clausenian functions

    DEFF Research Database (Denmark)

    Karlsson, Per W.

    2000-01-01

    For certain third-order hypergeometric functions of two variables, reduction and transformation formulae under various conditions upon the parameters are derived from an Euler integral representation that requires one relation between parameters.......For certain third-order hypergeometric functions of two variables, reduction and transformation formulae under various conditions upon the parameters are derived from an Euler integral representation that requires one relation between parameters....

  19. A proof of image Euler Number formula

    Institute of Scientific and Technical Information of China (English)

    LIN Xiaozhu; SHA Yun; JI Junwei; WANG Yanmin

    2006-01-01

    Euler Number is one of the most important characteristics in topology. In two- dimension digital images, the Euler characteristic is locally computable. The form of Euler Number formula is different under 4-connected and 8-connected conditions. Based on the definition of the Foreground Segment and Neighbor Number, a formula of the Euler Number computing is proposed and is proved in this paper. It is a new idea to locally compute Euler Number of 2D image.

  20. Supplementation of prebiotics in infant formula

    OpenAIRE

    Močić Pavić A; Hojsak I

    2014-01-01

    Ana Močić Pavić, Iva Hojsak Referral Center for Pediatric Gastroenterology and Nutrition, Children's Hospital Zagreb, Zagreb, Croatia Background: In recent years prebiotics have been added to infant formula to make it resemble breast milk more closely and to promote growth and development of beneficial intestinal microbiota. This review aims to present new data on the possible positive effects of prebiotics in infant formula on intestinal microbiota (bifidogenic and lactogenic effect) an...

  1. Macdonald formula for curves with planar singularities

    CERN Document Server

    Maulik, Davesh

    2011-01-01

    We generalize Macdonald's formula for the cohomology of Hilbert schemes of points on a curve from smooth curves to curves with planar singularities: we relate the cohomology of the Hilbert schemes to the cohomology of the compactified Jacobian of the curve. The new formula is a consequence of a stronger identity between certain perverse sheaves defined by a family of curves satisfying mild conditions, whose proof makes an essential use of Ng\\^o's support theorem for compactified Jacobians.

  2. A product formula and combinatorial field theory

    CERN Document Server

    Horzela, A; Duchamp, G H E; Penson, K A; Solomon, A I

    2004-01-01

    We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - essentially an extension of the Taylor expansion - leads to a double exponential formula which enables a powerful graphical description of the generating functions of the combinatorial sequences associated with such functions - in essence, a combinatorial field theory. We apply these techniques to some examples related to specific physical Hamiltonians.

  3. Parametric Improper Integrals, Wallis Formula and Catalan Numbers

    Science.gov (United States)

    Dana-Picard, Thierry; Zeitoun, David G.

    2012-01-01

    We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation for Catalan numbers.

  4. Supplementation of prebiotics in infant formula

    Directory of Open Access Journals (Sweden)

    Močić Pavić A

    2014-06-01

    Full Text Available Ana Močić Pavić, Iva Hojsak Referral Center for Pediatric Gastroenterology and Nutrition, Children's Hospital Zagreb, Zagreb, Croatia Background: In recent years prebiotics have been added to infant formula to make it resemble breast milk more closely and to promote growth and development of beneficial intestinal microbiota. This review aims to present new data on the possible positive effects of prebiotics in infant formula on intestinal microbiota (bifidogenic and lactogenic effect and on clinical outcomes including growth, infections, and allergies. With that aim, a literature search of the Cochrane Central Register of Controlled Trials (CENTRAL, EMBASE, Scopus, PubMed/Medline, Web of Science, and Science Direct in the last 10 years (December 2003 to December 2013 was performed. Results: Altogether 24 relevant studies were identified. It was found that during intervention, prebiotics can elicit a bifidogenic and lactogenic effect. As far as clinical outcomes were concerned, 14 studies investigated the effect of infant formula supplemented with prebiotics on growth and found that there was no difference when compared with non-supplemented infant formula. All available data are insufficient to support prebiotic supplementation in order to reduce risk of allergies and infections. Conclusion: There is currently no strong evidence to recommend routine supplementation of infant formulas with prebiotics. Further well-designed clinical studies with long-term follow-up are needed. Keywords: prebiotics, infant formula, growth, allergy, infections, supplementation

  5. Connected formulas for amplitudes in standard model

    CERN Document Server

    He, Song

    2016-01-01

    Witten's twistor string theory has led to new representations of S-matrix in massless QFT as a single object, including Cachazo-He-Yuan formulas in general and connected formulas in four dimensions. As a first step towards more realistic processes of the standard model, we extend the construction to QCD tree amplitudes with massless quarks and those with a Higgs boson. For both cases, we find connected formulas in four dimensions for all multiplicities which are very similar to the one for Yang-Mills amplitudes. The formula for quark-gluon color-ordered amplitudes differs from the pure-gluon case only by a Jacobian factor that depends on flavors and orderings of the quarks. In the formula for Higgs plus multi-parton amplitudes, the massive Higgs boson is effectively described by two additional massless legs which do not appear in the Parke-Taylor factor. The latter also represents the first twistor-string/connected formula for form factors.

  6. ENDF/B-IV representation of the 238U total neutron cross section in the resolved resonance energy region

    International Nuclear Information System (INIS)

    The ENDF/B-IV prescription fails to represent correctly the 238U total (and scattering) cross section between the levels of the resolved range. It is shown how this representation can be improved by properly accounting for the contribution of levels outside the resolved region to the cross section at energies inside the resolved region, and by substituting the more precise multilevel Breit-Wigner formula for the presently used single-level formula. The importance of computing accurately the minima in the total cross section is illustrated by comparing values of the self-shielded capture resonance integral computed with ENDF/B-IV and with a more accurate cross section model

  7. Utility of predicted creatinine clearance using MDRD formula compared with other predictive formulas in Nigerian patients

    Directory of Open Access Journals (Sweden)

    Abefe Sanusi

    2009-01-01

    Full Text Available The new predictive formula generated during the study of Modification of Diet in Renal Disease (MDRD to estimate the glomerular filtration rate in chronic kidney disease (CKD patients was found to be superior to existing predictive formulas in all races including black Americans. We had previously published a study evaluating and comparing 5 predictive formulas and their applicability in Nigerian CKD patients and normal subjects. The existing data from this study were re-analyzed and the 5 previous formulas compared with the MDRD formula. All the pre-dictive formulas including the MDRD formula correlated significantly with measured creatinine clearance in CKD subjects and controls. Correlation Coefficient, (r ranged between 0.908-0.968 and Coefficient of Determination, (r 2 , ranged between 0.826-0.936. There was also good corre-lation between the measured and predicted CrCl in healthy state, though the r and r 2 values were weaker (0.718-0.957 and (0.516-0.916. Specifically, MDRD formula was only superior to Jelliffe and Gates and not so to Cockcroft and Gault, Hull, and Mawer equations in CRF. MDRD formula yielded r= 0.93 and r 2 = 0.86 and the values for Cockcroft and Gault, Hull and Mawer ranged between 0.96-0.97 and 0.93-0.94 respectively. In conclusion, MDRD formula, though useful and applicable was not superior to existing formulas. Cockcroft and Gault equation can still be used due to the ease of recall and its high correlation coefficient in health and disease states.

  8. Semi-empirical formulas for sputtering yield

    International Nuclear Information System (INIS)

    When charged particles, electrons, light and so on are irradiated on solid surfaces, the materials are lost from the surfaces, and this phenomenon is called sputtering. In order to understand sputtering phenomenon, the bond energy of atoms on surfaces, the energy given to the vicinity of surfaces and the process of converting the given energy to the energy for releasing atoms must be known. The theories of sputtering and the semi-empirical formulas for evaluating the dependence of sputtering yield on incident energy are explained. The mechanisms of sputtering are that due to collision cascade in the case of heavy ion incidence and that due to surface atom recoil in the case of light ion incidence. The formulas for the sputtering yield of low energy heavy ion sputtering, high energy light ion sputtering and the general case between these extreme cases, and the Matsunami formula are shown. At the stage of the publication of Atomic Data and Nuclear Data Tables in 1984, the data up to 1983 were collected, and about 30 papers published thereafter were added. The experimental data for low Z materials, for example Be, B and C and light ion sputtering data were reported. The combination of ions and target atoms in the collected sputtering data is shown. The new semi-empirical formula by slightly adjusting the Matsunami formula was decided. (K.I.)

  9. Bellco Formula Domus Home Care System.

    Science.gov (United States)

    Trewin, Elizabeth

    2004-01-01

    There are certain characteristics in a dialysis machine that would be desirable for use in home and limited care environments. These features relate to safety, ease of use, consideration of physical space, and reliability. The Bellco Formula Domus Home Care System was designed to meet all these requirements. Bellco's philosophy of patient treatment centers on global biocompatibility. This is evident in the design of the Formula Domus Home Care System. It has the smallest hydraulic fluid pathway of any dialysis machine on the market. Formula is capable of preparing ultrapure dialysate. The ultrafiltration measurement mechanism, the patented Coriolis flow meter, measures the mass of the dialysate, not the volume. For this reason it is the only dialysis machine that detects actual backfiltration, not just the theoretical possibility of it based on transmembrane pressure. The Coriolis flow meter also ensures that dialysate flow is a true single pass. The operator interface is a single window operating control. It is possible to select up to 14 different languages. There is an online help key to assist patients with troubleshooting. Programmable start-up and shutdown times save time for the patient. Formula is the only dialysis machine to offer a backup battery feature. Formula is capable of communicating with any software available. The focus on global biocompatibility ensures the best quality dialysis treatments for a population of patients who will likely remain on dialysis for a longer period of time than conventional dialysis patients. PMID:15043621

  10. Funding Formulas for California Schools III: An Analysis of Governor Brown's Weighted Pupil Funding Formula

    Science.gov (United States)

    Rose, Heather; Sonstelie, Jon; Weston, Margaret

    2012-01-01

    In his 2012-13 budget Governor Brown proposed a new system for allocating state revenue among California school districts. By all accounts the current system is complex and opaque. In contrast, the proposed system--a weighted pupil funding formula--is simple and transparent. Using the PPIC School Finance Model, we compare how this formula would…

  11. GENERAL FORMULA AND RECURRENCE FORMULA FOR RADIAL MATRIX ELEMENTS OF N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR

    Institute of Scientific and Technical Information of China (English)

    CHEN CHANG-YUAN

    2000-01-01

    In this paper, the general formulas and the recurrence formulas for radial matrix elements of N-dimensional isotropic harmonic oscillator are obtained. The relevant results of 2- dimensional and 3- dimensiona] isotropic harmonic oscillators reported in the reference papers are contained in a more general equations derived in this paper as special cases.

  12. Sum formulas for reductive algebraic groups

    DEFF Research Database (Denmark)

    Andersen, Henning Haahr; Kulkarni, Upendra

    2008-01-01

    \\supset V^1 \\cdots \\supset V^r = 0$. The sum of the positive terms in this filtration satisfies a well known sum formula. If $T$ denotes a tilting module either for $G$ or $U_q$ then we can similarly filter the space $\\Hom_G(V,T)$, respectively $\\Hom_{U_q}(V,T)$ and there is a sum formula for the positive...... terms here as well. We give an easy and unified proof of these two (equivalent) sum formulas. Our approach is based on an Euler type identity which we show holds without any restrictions on $p$ or $l$. In particular, we get rid of previous such restrictions in the tilting module case....

  13. From Pauli Matrices to Quantum Ito Formula

    International Nuclear Information System (INIS)

    This paper answers important questions raised by the recent description, by Attal, of a robust and explicit method to approximate basic objects of quantum stochastic calculus on bosonic Fock space by analogues on the state space of quantum spin chains. The existence of that method justifies a detailed investigation of discrete-time quantum stochastic calculus. Here we fully define and study that theory and obtain in particular a discrete-time quantum Ito formula, which one can see as summarizing the commutation relations of Pauli matrices.An apparent flaw in that approximation method is the difference in the quantum Ito formulas, discrete and continuous, which suggests that the discrete quantum stochastic calculus differs fundamentally from the continuous one and is therefore not a suitable object to approximate subtle phenomena. We show that flaw is only apparent by proving that the continuous-time quantum Ito formula is actually a consequence of its discrete-time counterpart

  14. Langlands Program, Trace Formulas, and their Geometrization

    CERN Document Server

    Frenkel, Edward

    2012-01-01

    The Langlands Program relates Galois representations and automorphic representations of reductive algebraic groups. The trace formula is a powerful tool in the study of this connection and the Langlands Functoriality Conjecture. After giving an introduction to the Langlands Program and its geometric version, which applies to curves over finite fields and over the complex field, I give a survey of my recent joint work with Robert Langlands and Ngo Bao Chau (arXiv:1003.4578 and arXiv:1004.5323) on a new approach to proving the Functoriality Conjecture using the trace formulas, and on the geometrization of the trace formulas. In particular, I discuss the connection of the latter to the categorification of the Langlands correspondence.

  15. Universal fitting formulae for baryon oscillation surveys

    CERN Document Server

    Blake, C; Bassett, B; Glazebrook, K; Kunz, M; Nichol, R C; Blake, Chris; Parkinson, David; Bassett, Bruce; Glazebrook, Karl; Kunz, Martin; Nichol, Robert C.

    2006-01-01

    The next generation of galaxy surveys will attempt to measure the baryon oscillations in the clustering power spectrum with high accuracy. These oscillations encode a preferred scale which may be used as a standard ruler to constrain cosmological parameters and dark energy models. In this paper we present simple analytical fitting formulae for the accuracy with which the preferred scale may be determined in the tangential and radial directions by future spectroscopic and photometric galaxy redshift surveys. We express these accuracies as a function of survey parameters such as the central redshift, volume, galaxy number density and (where applicable) photometric redshift error. These fitting formulae should greatly increase the efficiency of optimizing future surveys, which requires analysis of a potentially vast number of survey configurations and cosmological models. The formulae are calibrated using a grid of Monte Carlo simulations, which are analyzed by dividing out the overall shape of the power spectru...

  16. Move! Eat better: try the FIT formula

    CERN Multimedia

    CERN Medical Service

    2013-01-01

    In the physics world, some formulas lead to a Nobel prize. In the world of health and physical activity, the Medical Service also has a winning formula...   FIT (physical activity) =       Frequency x Intensity x Time Frequency = more than 3 times per week. Intensity = physical activity which slightly increases your heart rate and breathing rate. Time = more than 30 minutes (per session). As part of our Move! Eat better campaign, the Medical Service is still offering the use of a pedometer (available on loan from the infirmary), which is a really useful tool to help you reach the winning FIT formula. Interested in borrowing a CERN pedometer?  Click here!

  17. 24 CFR 905.10 - Capital Fund formula (CFF).

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Capital Fund formula (CFF). 905.10... DEVELOPMENT THE PUBLIC HOUSING CAPITAL FUND PROGRAM § 905.10 Capital Fund formula (CFF). (a) General. This section describes the formula for allocation of capital funds to PHAs. The formula is referred to as...

  18. 24 CFR 990.110 - Operating fund formula.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Operating fund formula. 990.110... DEVELOPMENT THE PUBLIC HOUSING OPERATING FUND PROGRAM Purpose, Applicability, Formula, and Definitions § 990.110 Operating fund formula. (a) General formula. (1) The amount of annual contributions...

  19. 27 CFR 21.23 - Formula No. 19.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 19. 21.23... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.23 Formula No. 19. To every 100 gallons of ethyl alcohol of not less than 160 proof add:...

  20. 27 CFR 21.22 - Formula No. 18.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 18. 21.22... OF THE TREASURY LIQUORS FORMULAS FOR DENATURED ALCOHOL AND RUM Completely Denatured Alcohol Formulas § 21.22 Formula No. 18. To every 100 gallons of ethyl alcohol of not less than 160 proof add:...

  1. Magnetic Moment Formulas of Baryons Determined by Quantum Numbers

    OpenAIRE

    Chang, Yi-Fang

    2008-01-01

    We propose that the magnetic moment formulas of baryons may be determined by quantum numbers, and obtain three formulas. This is a new type of magnetic moment formula, and agrees better with the experimental values. It is also similar to corresponding mass formulas of hadrons.

  2. Accurate formulas for the penalty caused by interferometric crosstalk

    DEFF Research Database (Denmark)

    Rasmussen, Christian Jørgen; Liu, Fenghai; Jeppesen, Palle

    2000-01-01

    New simple formulas for the penalty caused by interferometric crosstalk in PIN receiver systems and optically preamplified receiver systems are presented. They are more accurate than existing formulas.......New simple formulas for the penalty caused by interferometric crosstalk in PIN receiver systems and optically preamplified receiver systems are presented. They are more accurate than existing formulas....

  3. Identifying a framework for graphing formulas from expert strategies

    NARCIS (Netherlands)

    Kop, P; F, Janssen,; Drijvers, Paul; Veenman, M.; van Driel, Jan

    2014-01-01

    Graphing formulas with paper and pen helps learners to connect the algebraic and graphical representation of a function, which is important in learning to read algebraic formulas. To be able to graph formulas, a repertoire of functions that can be instantly visualized by a graph (formula-graphics) i

  4. Generalization of the Macdonald formula for Hall-Littlewood polynomials

    CERN Document Server

    Klostermann, Inka

    2011-01-01

    We study the Gaussent-Littelmann formula for Hall-Littlewood polynomials and we develop combinatorial tools to describe the formula in a purely combinatorial way for type A_n. Furthermore, we show by using these tools that the Gaussent-Littelmann formula and the well-known Macdonald formula for Hall-Littlewood polynomials for type A_n are the same.

  5. 7 CFR 761.205 - Computing the formula allocation.

    Science.gov (United States)

    2010-01-01

    ... 7 Agriculture 7 2010-01-01 2010-01-01 false Computing the formula allocation. 761.205 Section 761... Funds to State Offices § 761.205 Computing the formula allocation. (a) The formula allocation for FO or... program that the National Office allocates to a State Office. formula allocation = (amount available...

  6. Gaussian quadrature formulae for arbitrary positive measures.

    Science.gov (United States)

    Fernandes, Andrew D; Atchley, William R

    2006-01-01

    We present computational methods and subroutines to compute Gaussian quadrature integration formulas for arbitrary positive measures. For expensive integrands that can be factored into well-known forms, Gaussian quadrature schemes allow for efficient evaluation of high-accuracy and -precision numerical integrals, especially compared to general ad hoc schemes. In addition, for certain well-known density measures (the normal, gamma, log-normal, Student's t, inverse-gamma, beta, and Fisher's F) we present exact formulae for computing the respective quadrature scheme. PMID:19455218

  7. Gaussian Quadrature Formulae for Arbitrary Positive Measures

    Directory of Open Access Journals (Sweden)

    William R. Atchley

    2006-01-01

    Full Text Available We present computational methods and subroutines to compute Gaussian quadrature integration formulas for arbitrary positive measures. For expensive integrands that can be factored into well-known forms, Gaussian quadrature schemes allow for efficient evaluation of high-accuracy and -precision numerical integrals, especially compared to general ad hoc schemes. In addition, for certain well-known density measures (the normal, gamma, log-normal, Student’s t, inversegamma, beta, and Fisher’s F we present exact formulae for computing the respective quadrature scheme.

  8. Pesin's Entropy Formula for Systems Between and

    Science.gov (United States)

    Tian, Xueting

    2014-09-01

    In this article we give a new observation of Pesin's entropy formula, motivated from Mañé's proof of (Ergod Theory Dyn Sys 1:95-102, 1981). Let be a compact Riemann manifold and be a diffeomorphism on . If is an -invariant probability measure which is absolutely continuous relative to Lebesgue measure and nonuniformly-Hlder-continuous(see Definition 1.1), then we have Pesin's entropy formula, i.e., the metric entropy satisfies where are the Lyapunov exponents at with respect to Nonuniformly-H lder-continuous is a new notion from probabilistic perspective weaker than

  9. Vacuum engineering, calculations, formulas, and solved exercises

    CERN Document Server

    Berman, Armand

    1992-01-01

    This book was written with two main objectives in mind-to summarize and organize the vast material of vacuum technology in sets of useful formulas, and to provide a collection of worked out exercises showing how to use these formulas for solving technological problems. It is an ideal reference source for those with little time to devote to a full mathematical treatment of the many problems issued in vacuum practice, but who have a working knowledge of the essentials of vacuum technology, elementary physics, and mathematics. This time saving book employs a problem-solving approach throughout, p

  10. Mathematical formulas for industrial and mechanical engineering

    CERN Document Server

    Kadry, Seifedine

    2014-01-01

    Mathematical Formulas For Industrial and Mechanical Engineering serves the needs of students and teachers as well as professional workers in engineering who use mathematics. The contents and size make it especially convenient and portable. The widespread availability and low price of scientific calculators have greatly reduced the need for many numerical tables that make most handbooks bulky. However, most calculators do not give integrals, derivatives, series and other mathematical formulas and figures that are often needed. Accordingly, this book contains that information in an easy way to

  11. Temporal formulas in Serbian oral epic songs

    Directory of Open Access Journals (Sweden)

    Perić Dragoljub Ž.

    2013-01-01

    Full Text Available This paper seeks to present time as one of the most important parameters in epic songs, shown in the example of temporal formulas. Time also represents the principle of organizing section sequences in the song (linear, successive and chronological, or discontinuous and retrospective. The paper further examines the temporal formulas in a broad and a narrow sense, with regard to whether the temporal markers refer to the narrative shifts in the development of the story, or to some archaic meanings related to expressions which mark the determinants of real time (year and its parts, days of the week, time of the day, etc..

  12. Analytical opacity formulas for low Z plasmas

    Energy Technology Data Exchange (ETDEWEB)

    Rubiano, J; Rodriguez, R; Gil, J M; Florido, R; Martel, P; Mendoza, M A; Suarez, D [Departamento de FIasica, Universidad de Las Palmas de GC, 35017 Las Palmas de GC (Spain); Minguez, E [Instituto de Fusion Nuclear DENIM. Universidad Politecnica de Madrid, 28019 Madrid (Spain)], E-mail: jgarcia@dfis.ulpgc.es

    2008-05-01

    The accurate computation of radiative opacities is basic in the ICF target physics analysis, in which the radiation is an important feature to determine in detail. For this reason, accurate analytical formulas for giving mean opacities versus temperature and density of the plasma seem to be a useful tool. In this work we analyse some analytical expressions found in the literature for the opacity low Z plasmas in a wide range of temperature and densities. The validity of these formulas for computing the opacity under NLTE conditions is investigated using the new code ABAKO.

  13. Inductance calculations working formulas and tables

    CERN Document Server

    Grover, Frederick W

    2009-01-01

    This authoritative compilation of formulas and tables simplifies the design of inductors for electrical engineers. It features a single simple formula for virtually every type of inductor, together with tables from which essential numerical factors may be interpolated. Although compiled in the 1940s, before calculators and computers, this book provides fundamental equations that professionals and practitioners can use to produce algorithms for computer programs and spreadsheets.Starting with a survey of general principles, it explains circuits with straight filaments; parallel elements of equa

  14. CRC standard mathematical tables and formulae

    CERN Document Server

    Zwillinger, Daniel

    2002-01-01

    New in the 31st edition:Game theory and voting powerHeuristic search techniquesQuadratic fieldsReliabilityRisk analysis and decision rulesA table of solutions to Pell's equationA table of irreducible polynomials in Z2[x]An interpretation of powers of 10A collection of ""proofs without words""Representations of groups of small orderCounting principlesTesselations and tilings…and much more!An indispensable, up-to-date resource, CRC Standard Mathematical Tables and Formulae, 31st Edition makes it effortless to find the equations, tables, and formulae you need most often.

  15. On Combinatorial Formulas for Macdonald Polynomials

    OpenAIRE

    Lenart, Cristian

    2008-01-01

    A recent breakthrough in the theory of (type A) Macdonald polynomials is due to Haglund, Haiman and Loehr, who exhibited a combinatorial formula for these polynomials in terms of a pair of statistics on fillings of Young diagrams. Ram and Yip gave a formula for the Macdonald polynomials of arbitrary type in terms of so-called alcove walks; these originate in the work of Gaussent-Littelmann and of the author with Postnikov on discrete counterparts to the Littelmann path model. In this paper, w...

  16. COMPARISON BETWEEN FORMULAS OF MAXIMUM SHIP SQUAT

    Directory of Open Access Journals (Sweden)

    PETRU SERGIU SERBAN

    2016-06-01

    Full Text Available Ship squat is a combined effect of ship’s draft and trim increase due to ship motion in limited navigation conditions. Over time, researchers conducted tests on models and ships to find a mathematical formula that can define squat. Various forms of calculating squat can be found in the literature. Among those most commonly used are of Barrass, Millward, Eryuzlu or ICORELS. This paper presents a comparison between the squat formulas to see the differences between them and which one provides the most satisfactory results. In this respect a cargo ship at different speeds was considered as a model for maximum squat calculations in canal navigation conditions.

  17. Efficient computation of the Zassenhaus formula

    CERN Document Server

    Casas, Fernando; Nadinic, Mladen

    2012-01-01

    A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independent commutators and thus containing the minimum number of terms. The recursion can be easily implemented in a symbolic algebra package and requires much less computational effort, both in time and memory resources, than previous algorithms. In addition, by bounding appropriately each term in the recursion, it is possible to get a larger convergence domain of the Zassenhaus formula when it is formulated in a Banach algebra.

  18. Validation of a new formula for mean arterial pressure calculation: the new formula is superior to the standard formula.

    Science.gov (United States)

    Razminia, Mansour; Trivedi, Atul; Molnar, Janos; Elbzour, Monther; Guerrero, Mayra; Salem, Yasser; Ahmed, Aziz; Khosla, Sandeep; Lubell, David L

    2004-12-01

    Mean arterial pressure (MAP) has traditionally been derived from systolic and diastolic pressures, weighted 1/3 systolic and 2/3 diastolic. No correction is made for the increasing time dominance of systole with increasing heart rates. In a previous study, we developed a new and more accurate heart rate-corrected MAP formula from central aorta pressure determinations in a large number of patients: MAP = DP + [0.33 + (HR x 0.0012)] x [PP] where SP and DP are systolic and diastolic pressure and HR is heart rate. The current study validates the new MAP formula in the same patient at increasing paced heart rates. A central aorta catheter was used to obtain computer-determined systolic, diastolic, and MAP in 12 patients. Values were obtained at baseline and then at increasing right atrial paced heart rates. The new and standard MAP formula-derived values were compared with computer-determined values. The new formula showed a much closer correlation with the computer-derived values for MAP. Standard MAP calculations for MAP can easily be improved by inclusion of a heart rate factor. PMID:15558774

  19. A mild Ito formula for SPDEs

    OpenAIRE

    Da Prato, Giuseppe; Jentzen, Arnulf; Roeckner, Michael

    2010-01-01

    This article introduces a certain class of stochastic processes, which we suggest to call mild Ito processes, and a new - somehow mild - Ito type formula for such processes. Examples of mild Ito processes are mild solutions of SPDEs and their numerical approximation processes.

  20. On Kreĭn’s formula

    NARCIS (Netherlands)

    Behrndt, Jussi; Snoo, Henk de

    2009-01-01

    Kreĭn’s formula provides a parametrization of the generalized resolvents and Štraus extensions of a closed symmetric operator with equal possibly infinite defect numbers in a Hilbert space in terms of Nevanlinna families in a parameter space. The aim of this note is to give a simple complete analyti

  1. Perturbative Semiclassical Trace Formulae for Harmonic Oscillators

    DEFF Research Database (Denmark)

    Møller-Andersen, Jakob; Ögren, Magnus

    2015-01-01

    U(D) to O(D) symmetry breaking. We derive the gross structure of the semiclassical spectrum from periodic orbit theory, in the form of a perturbative (ħ → 0) trace formula. We then show how to apply the results to even-order polynomial potentials, possibly including mean-field terms. We have drawn...

  2. A universal formula for network functions

    DEFF Research Database (Denmark)

    Skelboe, Stig

    1975-01-01

    A linear electrical network can be described in a convenient way by means of the node equations. This letter presents a universal formula which expresses any network function as the quotient of two determinants. The determinants belong to matrices derived from the indefinite nodal admittance...

  3. Calculation of the CIPW norm: New formulas

    Indian Academy of Sciences (India)

    Kamal L Pruseth

    2009-02-01

    A completely new set of formulas,based on matrix algebra,has been suggested for the calculation of the CIPW norm for igneous rocks to achieve highly consistent and accurate norms.The suggested sequence of derivation of the normative minerals greatly deviates from the sequence followed in the classical scheme.The formulas are presented in a form convenient for error-free implementation in computer programs.Accurate formulas along with the use of variable molecular weights for CaO and FeO;corrected formula weights for apatite,pyrite and fluorite;and suggested measures to avoid significant rounding off errors to achieve absolute match between the sum of the input weights of the oxides and the sum of the weights of the estimated normative minerals.Using an analogous procedure for determining the oxidation ratios of igneous rocks as used in the SINCLAS system of Ver ma et al (2002,2003),the suggested calculation scheme exactly reproduces their results except for apatite for reasons explained in the text,but with a superior match between the totals for about 11,200 analyses representing rocks of a wide range of composition.

  4. Index formulae for subspaces of Krein spaces

    NARCIS (Netherlands)

    Dijksma, A; Gheondea, A

    1996-01-01

    For a subspace S of a Krein space K and an arbitrary fundamental decomposition K = K-[+]K+ of K, we prove the index formula k(-)(S) + dim(S-perpendicular to boolean AND K-+) = k(+)(S-perpendicular to)+ dim(S boolean AND K-), were k(+/-)(S) stands for the positive/negative signature of S. The differe

  5. An ISU(3) hadron mass formula

    International Nuclear Information System (INIS)

    A universal mass expression is derived for non-charm hadrons which unites GMO formulae for various multiplets. Mass splitting is achieved via the generators of the 14-parameter ISU(3) group. The spectrum depends on three parameters which vary with the spin. Comparison with particle data shows a nearly linear dependence. (author)

  6. Diffusion Processes and the Ewens Sampling Formula

    OpenAIRE

    Feng, Shui

    2016-01-01

    Crane [Statist. Sci. 31 (2016) 1–19] provides an excellent review of Ewens’ sampling formula (henceforth, ESF), its applications in and connections with various subjects. This note intends to extend the discussion a little bit. The focus will be on nonequilibrium ESF involving diffusion processes, ESF with symmetric selection and asymptotics of ESF. The references listed are by no means exhaustive.

  7. A weak kernel formula for Bessel functions

    OpenAIRE

    Chai, Jingsong

    2015-01-01

    In this paper, we prove a weak kernel formula of Bessel functions attached to irreducible generic representations of p-adic $GL(n)$. As an application, we show that the Bessel function defined by Bessel distribution coincides with the Bessel function defined via uniqueness of Whittaker models on the open Bruhat cell.

  8. Universal fitting formulae for baryon oscillation surveys

    Science.gov (United States)

    Blake, Chris; Parkinson, David; Bassett, Bruce; Glazebrook, Karl; Kunz, Martin; Nichol, Robert C.

    2006-01-01

    The next generation of galaxy surveys will attempt to measure the baryon oscillations in the clustering power spectrum with high accuracy. These oscillations encode a preferred scale which may be used as a standard ruler to constrain cosmological parameters and dark energy models. In this paper we present simple analytical fitting formulae for the accuracy with which the preferred scale may be determined in the tangential and radial directions by future spectroscopic and photometric galaxy redshift surveys. We express these accuracies as a function of survey parameters such as the central redshift, volume, galaxy number density and (where applicable) photometric redshift error. These fitting formulae should greatly increase the efficiency of optimizing future surveys, which requires analysis of a potentially vast number of survey configurations and cosmological models. The formulae are calibrated using a grid of Monte Carlo simulations, which are analysed by dividing out the overall shape of the power spectrum before fitting a simple decaying sinusoid to the oscillations. The fitting formulae reproduce the simulation results with a fractional scatter of 7 per cent (10 per cent) in the tangential (radial) directions over a wide range of input parameters. We also indicate how sparse-sampling strategies may enhance the effective survey area if the sampling scale is much smaller than the projected baryon oscillation scale.

  9. Quantification of prebiotics in commercial infant formulas.

    Science.gov (United States)

    Sabater, Carlos; Prodanov, Marin; Olano, Agustín; Corzo, Nieves; Montilla, Antonia

    2016-03-01

    Since breastfeeding is not always possible, infant formulas (IFs) are supplemented with prebiotic oligosaccharides, such as galactooligosaccharides (GOS) and/or fructooligosaccharides (FOS) to exert similar effects to those of the breast milk. Nowadays, a great number of infant formulas enriched with prebiotics are disposal in the market, however there are scarce data about their composition. In this study, the combined use of two chromatographic methods (GC-FID and HPLC-RID) for the quantification of carbohydrates present in commercial infant formulas have been used. According to the results obtained by GC-FID for products containing prebiotics, the content of FOS, GOS and GOS/FOS was in the ranges of 1.6-5.0, 1.7-3.2, and 0.08-0.25/2.3-3.8g/100g of product, respectively. HPLC-RID analysis allowed quantification of maltodextrins with degree of polymerization (DP) up to 19. The methodology proposed here may be used for routine quality control of infant formula and other food ingredients containing prebiotics. PMID:26471520

  10. The Economic Vitality Formula of Success

    Science.gov (United States)

    Konopnicki, Patrick M.

    2012-01-01

    An economic vitality formula of success can be accomplished by creating partnerships between local career and technical education (CTE), and workforce development and economic development entities. Student industry certifications; dynamic partnerships; programs and projects focused on science, technology, engineering, and mathematics (STEM); and…

  11. A Correlator Formula for Quantum Sheaf Cohomology

    CERN Document Server

    Lu, Zhentao

    2015-01-01

    For a class of monadic deformations of the tangent bundles over nef-Fano smooth projective toric varieties, we study the correlators using quantum sheaf cohomology. We prove a summation formula for the correlators, confirming a conjecture by McOrist and Melnikov in physics literature. This generalizes the Szenes-Vergne proof of Toric Residue Mirror Conjecture for hypersurfaces.

  12. Measuring the deviation from the Rutherford formula

    OpenAIRE

    Kuraev, E. A.; Shatnev, M.; Tomasi-Gustafsson, E.

    2009-01-01

    Modern experiments with heavy ion-leptons collisions open the possibility to measure the deviation of cross section of small angles electron(positron)-ion elastic scattering from the Rutherford formula due to multiple virtual photons exchange. The charge asymmetry and the polarization of the scattered leptons are calculated and numerical predictions are given. A generalization to elastic proton-nucleus scattering is discussed.

  13. RICM, Resonance Absorption in Multi-Region Slab or Square or Hexagonal Lattice

    International Nuclear Information System (INIS)

    1 - Nature of physical problem solved: Calculates the resonance absorption integral of resonant isotope in a multi-region lattice using the first flight collision probability. The lattice configurations considered are a slab lattice, a square or hexagonal lattice and a cylindricalized lattice with isotropic or perfect reflecting boundary condition. Cases for an isolated rod or plate and homogeneous system can also be treated. 2 - Method of solution: Slowing down of neutrons by each isotope in each region is solved by either exact numerical integration of the slowing down equation or narrow - or wide-resonance approximation. Breit-Wigner's single level formula is used for the resonance cross section and Porter-Thomas distribution of neutron width is taken into account in the unresolved region. 3 - Restrictions on the complexity of the problem: Maximum number of regions: 5; Maximum Number of groups: 100

  14. Pion-proton scattering and isospin breaking in the $\\Delta^{0}$-$\\Delta^{++}$ system

    CERN Document Server

    Bernicha, A; Pestieau, J; Castro, G Lopez

    1996-01-01

    We determine the mass and width of the \\Delta^{++}\\ (\\Delta^0) resonance from data on \\pi^+ p\\ (\\pi^- p) scattering both, in the pole of the S-matrix and conventional Breit-Wigner approaches to the scattering amplitude. We provide a simple formula that relates the two definitions for the parameters of the \\Delta. Isospin symmetry breaking in the \\d0-\\dm system depends on the definition of the resonant properties: we find M_0-M_{++} = 0.40 \\pm 0.57\\ {\\rm MeV},\\ \\Gamma_0 -\\Gamma_{++} = 6.89 \\pm 0.95\\ {\\rm MeV} in the pole approach while \\wt{M}_0-\\wt{M}_{++} = 2.25 \\pm 0.68\\ {\\rm MeV},\\ \\wt{\\Gamma}_0 - \\wt{\\Gamma}_{++} = 8.45 \\pm 1.11\\ {\\rm MeV} in the conventional approach.

  15. Evaluation of 17O(n,α)14C cross section

    International Nuclear Information System (INIS)

    The 17O(n, α)14C cross section has been evaluated for incident neutron energies from 10-5 eV to 20 MeV for accurate calculation on the 14C production in nuclear reactors. Evaluation was based on the single-level Breit-Wigner formula for the thermal to resonance energy regions. In the higher energy region, a multi-step evaporation model code PEGASUS was used, and the results were normalized using the 16O(n, α) cross section ratio of JENDL-3 evaluation to PEGASUS calculation. Results are given in tabular and graphical forms, and also as one-group cross sections using typical BWR, PWR and FBR spectra of ORIGEN-2. (author)

  16. Resonances in the proton-6Li scattering

    International Nuclear Information System (INIS)

    The differential cross section and the analyzing power of the p+6Li scattering were measured in the laboratory energy range from 1.6 respectively 2.8 MeV to 10 MeV at 45 respectively 40 energies in full angular distributions. The data were subjected both to an analysis in the optical model which yielded already hints to resonance effects and to a comphrehensive scattering-phase analysis for L=0, 1, and 2 under inclusion of channel spin and orbital angular momentum mixings. The consistent description of all data required the assumption of broad resonance structures. An approximate parametrization by a Breit-Wigner formula allowed the estimation of the resonance parameters. (orig./HSI)

  17. Low-energy neutron resonances in erbium and gadolinium

    DEFF Research Database (Denmark)

    Bjerrum Møller, Hans; Shore, F.J.; Sailor, V.L.

    1960-01-01

    The two neutron resonances in Er at 0.46 and 0.58 eV were measured using samples enriched in Er166, Er167 and Er168 It was found that both resonances occur in the target nucleus Er167. The isotopic cross-sections of Gd155 and Gd157 were measured from 0.02 to 0.30 eV and resonances were found in Gd......155 at 0.0268 and in Gd157 at 0.0314 eV. Parameters for these resonances were derived by fitting the data to single-level Breit-Wigner formulae. Isotopic assignments were made for fifteen Gd resonances between 1 and 25 eV from previously unpublished data using samples enriched in 155, 156, 157 and 158...

  18. On the search for the world formula

    International Nuclear Information System (INIS)

    The desire of man to explore the origin of the world reaches back to the antique. His desire however to formulate a theory about this is relatively young. Serious attempts to reach this goal are connected with Einstein who began at the beginning of the 20th century to establish a unified theory and by this to trace the world formula. Einstein died however 1955 without reaching his goal. Since then several theories have been established which led to remarkable partial successes. The searched world formula however keeps waiting still as usual. The present book undertakes the attempt to show the ways, which many ingenious physicists hitherto have followed in order to reach this goal - a goal. which meanwhile seems to be obviously near because of the string theory

  19. Formula 47游艇介绍

    Institute of Scientific and Technical Information of China (English)

    黄芳武

    2004-01-01

    最近Formula系列产品中的佼佼者Formula 47因其自身的诸多优点而备受瞩目。Formula公司一直以来都以其产品性能的优良而著称,自60年代Formula创下近海离岸短距离赛跑赢家的纪录以来,公司就一直试图用艇赛来提高游艇速度,但是游艇的速度始终及不上其良好性能,Formula 47似乎在速度上更慢,但这未必是个坏消息。

  20. Feynman graph derivation of Einstein quadrupole formula

    International Nuclear Information System (INIS)

    The one graviton transition operator, and consequently, the classical energy loss formula for gravitational radiation are derived from the Feynman graphs of helicity +- 2 theories of gravitation. The calculations are done both for the case of electromagnetic and gravitational scattering. The departure of the in and out states from plane waves owing to the long range nature of gravitation is taken into account to improve the Born approximation calculations. This also includes a long range modification of the graviton wave function which is shown to be equivalent to the classical problem of the true light cones deviating logarithmically at large distances from the flat space light cones. The transition from the S-matrix elements calculated graphically to the graviton transition operator is done by using complimentarity of space-time and momentum descriptions. The energy loss formula derived originally by Einstein is shown to be correct. (Auth.)

  1. Matrix product formula for Macdonald polynomials

    International Nuclear Information System (INIS)

    We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik–Zamolodchikov equations, which arise by considering representations of the Zamolodchikov–Faddeev and Yang–Baxter algebras in terms of t-deformed bosonic operators. These solutions are generalized probabilities for particle configurations of the multi-species asymmetric exclusion process, and form a basis of the ring of polynomials in n variables whose elements are indexed by compositions. For weakly increasing compositions (anti-dominant weights), these basis elements coincide with non-symmetric Macdonald polynomials. Our formulas imply a natural combinatorial interpretation in terms of solvable lattice models. They also imply that normalizations of stationary states of multi-species exclusion processes are obtained as Macdonald polynomials at q = 1. (paper)

  2. A generalization of exotic options pricing formulae

    Institute of Scientific and Technical Information of China (English)

    2006-01-01

    Exotic options, or "path-dependent" options are options whose payoff depends on the behavior of the price of the underlying between 0 and the maturity, rather than merely on the final price of the underlying, such as compound options, reset options and so on. In this paper, a generalization of the Geske formula for compound call options is obtained in the case of time-dependent volatility and time-dependent interest rate by applying martingale methods and the change of numeraire or the change of probability measure. An analytic formula for the reset call options with predetermined dates is also derived in the case by using the same approach. In contrast to partial differential equation (PDE) approach, our approach is simpler.

  3. Pizzetti Formulae for Stiefel Manifolds and Applications

    Science.gov (United States)

    Coulembier, Kevin; Kieburg, Mario

    2015-10-01

    Pizzetti's formula explicitly shows the equivalence of the rotation invariant integration over a sphere and the action of rotation invariant differential operators. We generalize this idea to the integrals over real, complex, and quaternion Stiefel manifolds in a unifying way. In particular, we propose a new way to calculate group integrals and try to uncover some algebraic structures which manifest themselves for some well-known cases like the Harish-Chandra integral. We apply a particular case of our formula to an Itzykson-Zuber integral for the coset . This integral naturally appears in the calculation of the two-point correlation function in the transition of the statistics of the Poisson ensemble and the Gaussian orthogonal ensemble in random matrix theory.

  4. Some inversion formulas for the cone transform

    Science.gov (United States)

    Terzioglu, Fatma

    2015-11-01

    Several novel imaging applications have lead recently to a variety of Radon type transforms, where integration is made over a family of conical surfaces. We call them cone transforms (in 2D they are also called V-line or broken ray transforms). Most prominently, they are present in the so called Compton camera imaging that arises in medical diagnostics, astronomy, and lately in homeland security applications. Several specific incarnations of the cone transform have been considered separately. In this paper, we address the most general (and overdetermined) cone transform, obtain integral relations between cone and Radon transforms in {{{R}}}n, and a variety of inversion formulas. In many applications (e.g., in homeland security), the signal to noise ratio is very low. So, if overdetermined data is collected (as in the case of Compton imaging), attempts to reduce the dimensionality might lead to essential elimination of the signal. Thus, our main concentration is on obtaining formulas involving overdetermined data.

  5. Average prime-pair counting formula

    Science.gov (United States)

    Korevaar, Jaap; Riele, Herman Te

    2010-04-01

    Taking r>0 , let π_{2r}(x) denote the number of prime pairs (p, p+2r) with p≤ x . The prime-pair conjecture of Hardy and Littlewood (1923) asserts that π_{2r}(x)˜ 2C_{2r} {li}_2(x) with an explicit constant C_{2r}>0 . There seems to be no good conjecture for the remainders ω_{2r}(x)=π_{2r}(x)- 2C_{2r} {li}_2(x) that corresponds to Riemann's formula for π(x)-{li}(x) . However, there is a heuristic approximate formula for averages of the remainders ω_{2r}(x) which is supported by numerical results.

  6. Formula for a Solution of + (, D) =

    Indian Academy of Sciences (India)

    Adimurthi; G D Veerappa Gowda

    2000-11-01

    We study the continuous as well as the discontinuous solutions of Hamilton–Jacobi equation + (, D) = in $\\mathbb{R}^n × \\mathbb{R}_+$ with (, 0)=0(). The Hamiltonian (, ) is assumed to be convex and positively homogeneous of degree one in for each in $\\mathbb{R}$. If is non increasing in , in general, this problem need not admit a continuous viscosity solution. Even in this case we obtain a formula for discontinuous viscosity solutions.

  7. Recursive formula for arithmetic Asian option prices

    OpenAIRE

    Kyungsub Lee

    2013-01-01

    We derive a recursive formula for arithmetic Asian option prices with finite observation times in semimartingale models. The method is based on the relationship between the risk-neutral expectation of the quadratic variation of the return process and European option prices. The computation of arithmetic Asian option prices is straightforward whenever European option prices are available. Applications with numerical results under the Black-Scholes framework and the exponential L\\'evy model are...

  8. Composition formulas in the Weyl calculus

    DEFF Research Database (Denmark)

    Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael;

    2009-01-01

    In pseudodifferential analysis, the usual composition formula, which has asymptotic value, extends that valid for differential operators. The one developed here is based instead on the decomposition of symbols (functions in Rn×Rn ) as integral superpositions of homogeneous ones, of degrees lying on...... the complex line with real part −n. It extends the one known in the one-dimensional case in connection with automorphic pseudodifferential analysis....

  9. A Giambelli formula for even orthogonal Grassmannians

    OpenAIRE

    Skovsted Buch, Anders; Kresch, Andrew; Tamvakis, Harry

    2011-01-01

    Let X be an orthogonal Grassmannian parametrizing isotropic subspaces in an even dimensional vector space equipped with a nondegenerate symmetric form. We prove a Giambelli formula which expresses an arbitrary Schubert class in the classical and quantum cohomology rings of X as a polynomial in certain special Schubert classes. Our analysis reveals a surprising relation between the Schubert calculus on even and odd orthogonal Grassmannians. We also study eta polynomials, a family of polynomial...

  10. A Giambelli formula for isotropic Grassmannians

    OpenAIRE

    Buch, Anders S; Kresch, Andrew; Tamvakis, Harry

    2008-01-01

    Let X be a symplectic or odd orthogonal Grassmannian parametrizing isotropic subspaces in a vector space equipped with a nondegenerate (skew) symmetric form. We prove a Giambelli formula which expresses an arbitrary Schubert class in H^*(X,Z) as a polynomial in certain special Schubert classes. We study theta polynomials, a family of polynomials defined using raising operators whose algebra agrees with the Schubert calculus on X. Furthermore, we prove that theta polynomials are special cases ...

  11. The Trace Formula of the Spinoriel Amplitude

    OpenAIRE

    Mekhfi, M.

    2009-01-01

    We re express the fermion's probability amplitude as a trace over spinor indices, which formulation surprisingly does not exist in literature. This formulation puts the probabilty amplitude and the the probabilty(squared amplitude) of a given process on equal footing at the compuational level and this is our principal motivation to write the present paper. We test the power of the trace formula in three applications: Calculation of the charge-current of fermions by using symbolic programs, wh...

  12. Universal Lie formulas for higher antibrackets

    CERN Document Server

    Manetti, Marco

    2015-01-01

    We prove that the hierachy of higher antibrackets (aka higher Koszul brackets, aka Koszul braces) of a linear operator D on a commutative superalgebra can be defined by some universal formulas involving iterated Nijenhuis-Richardson brackets having as arguments D and the multiplication operators. As a byproduct we can immediately extend higher antibrackets to noncommutative algebras in a way preserving the validity of generalized Jacobi identities.

  13. Universal fitting formulae for baryon oscillation surveys

    OpenAIRE

    Blake, Chris; Parkinson, David; Glazebrook, Karl; Bassett, Bruce A.; Kunz, Martin; Nichol, Robert C.

    2006-01-01

    The next generation of galaxy surveys will attempt to measure the baryon oscillations in the clustering power spectrum with high accuracy. These oscillations encode a preferred scale which may be used as a standard ruler to constrain cosmological parameters and dark energy models. In this paper we present simple analytical fitting formulae for the accuracy with which the preferred scale may be determined in the tangential and radial directions by future spectroscopic and photometric galaxy re...

  14. Pocket book of integrals and mathematical formulas

    CERN Document Server

    Tallarida, Ronald J

    2008-01-01

    Convenient Organization of Essential Material so You Can Look up Formulas Fast Containing a careful selection of standard and timely topics, the Pocket Book of Integrals and Mathematical Formulas, Fourth Edition presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This fourth edition of a bestseller provides even more comprehensive coverage with the inclusion of several additional topics, all while maintaining its accessible, clear style and handy size. New to the Fourth Edition           An expanded chapter on series that covers many fascinating properties of the natural numbers that follow from number theory           New applications such as geostationary satellite orbits and drug kinetics           An expanded statistics section that discusses nonlinear regression as well as the normal approximation of the binomial distribution           Revised f...

  15. Formula for fixed point resolution matrix of permutation orbifolds

    International Nuclear Information System (INIS)

    We find a formula for the resolution of fixed points in extensions of permutation orbifold conformal field theories by its (half-)integer spin simple currents. We show that the formula gives a unitary and modular invariant S matrix.

  16. Transformations of Ramanujan's summation formula and its applications

    OpenAIRE

    Adiga, C.; Anitha, N.; T. Kim

    2005-01-01

    In this paper we obtain some new transformation formula for Ramanujan summation formula and also establish some eta-function identities. we also deduce a q-Gamma function identity, n q-integral and some interesting series representation.

  17. ON QUADRATURE FORMULAE FOR SINGULAR INTEGRALS OF ARBITRARY ORDER

    Institute of Scientific and Technical Information of China (English)

    杜金元

    2004-01-01

    Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also given.

  18. Gauge Symmetry of the Heat-Kernel and Anomaly Formulas

    CERN Document Server

    Ichinose, S; Ichinose, Shoichi; Ikeda, Noriaki

    1996-01-01

    We consider a gauge symmetry in a quantum Hilbert space. The symmetry leads to that of the heat-kernel and of the anomaly formulae which were previously obtained by the authors. This greatly simplifies and clarifies the structure of the formulae. We explicitly obtain the anomaly formulae in two and four dimensions, which ``unify'' all kinds of anomaly. The symmetry corresponds to that of the counterterm formulae in the background field method. As an example, the non-abelian anomaly is considered.

  19. A Multidimensional Analogue of the Simpson's Formula of Integral

    CERN Document Server

    Fujii, Kazuyuki

    2009-01-01

    The Simpson's formula is obtained by approximating the integral of a function on some interval by the integral of the quadratic polynomial determined by the function. However, a multidimensional analogue of the formula has not been given as far as we know. In this paper such a formula is given. Our formula is simple and beautiful, so it may be convenient in Mathematics or Mathematical Physics.

  20. Determination of 50% endpoint titer using a simple formula

    Science.gov (United States)

    Ramakrishnan, Muthannan Andavar

    2016-01-01

    Two commonly used methods for calculating 50% endpoint using serial dilutions are Spearman-Karber method and Reed and Muench method. To understand/apply the above formulas, moderate statistical/mathematical skills are necessary. In this paper, a simple formula/method for calculating 50% endpoints has been proposed. The formula yields essentially similar results as those of the Spearman-Karber method. The formula has been rigorously evaluated with several samples. PMID:27175354

  1. The $n$th+1 Prime Number Limit Formulas

    OpenAIRE

    Kawalec, Artur

    2016-01-01

    A new derivation of Golomb's limit formula for generating the $n$th$+1$ prime number is presented. The limit formula is derived by extracting $p_{n+1}$ from Euler's prime product representation of the Riemann zeta function $\\zeta(s)$ in the limit as $s$ approaches infinity. Also, new variations of these limit formulas are explored, such as the logarithm and a half-prime formulas for the $p_{n+1}$.

  2. Illinois' School Funding Formula--A Mathematical and Geometrical Analysis.

    Science.gov (United States)

    Toenjes, Laurence A.

    1982-01-01

    Compares Illinois' funding formula with a mathematical model for resource compensating formulas. Describes the variables used (including district enrollment, wealth, tax effort, and state guaranteed valuation). Uses graphs to illustrate varying equity effects of the formula for K-12, K-8, and high school districts, both statewide and in selected…

  3. 27 CFR 17.125 - Adoption of formulas and processes.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas and... NONBEVERAGE PRODUCTS Formulas and Samples § 17.125 Adoption of formulas and processes. (a) Adoption of... of adoption with the appropriate TTB officer. The notice shall be filed with the first claim...

  4. 27 CFR 19.187 - Adoption of formulas.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of formulas. 19... After Original Qualification § 19.187 Adoption of formulas. (a) Forms 5110.38. The adoption by a... the appropriate TTB officer. The application shall list the formulas for adoption by (1)...

  5. 27 CFR 21.49 - Formula No. 23-H.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula No. 23-H. 21.49 Section 21.49 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT... and Authorized Uses § 21.49 Formula No. 23-H. (a) Formula. To every 100 gallons of alcohol add:...

  6. p-adic Gauss integrals from the Poison summarizing formula

    CERN Document Server

    Prokhorenko, D V

    2011-01-01

    In the present paper we show how to obtain the well-known formula for Gauss sums and the Gauss reciprocity low from the Poison summarizing formula by using some ideas of renormalization and ergodic theories. We also apply our method to obtain new simple derivation of the standard formula for p-adic Gauss integrals.

  7. Ultradiscrete soliton equations derived from ultradiscrete permanent formulae

    Energy Technology Data Exchange (ETDEWEB)

    Nakamura, Shinya, E-mail: s-nakamura@moegi.waseda.jp [Major in Pure and Applied Mathematics, Graduate School of Fundamental Science and Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555 (Japan)

    2011-07-22

    We propose formulae of ultradiscrete permanent. Utilizing the formulae, ultradiscrete soliton equations and their multi-soliton solutions are obtained by a simple process. Changing variables and parameters of the formulae, we can derive the ultradiscrete Toda, KdV and hungry Lotka-Volterra equations. An extended version of the ultradiscrete hungry Lotka-Volterra equation is also proposed.

  8. Unsatisfiable (k,(4*2^k/k))-CNF formulas

    OpenAIRE

    Gebauer, Heidi

    2008-01-01

    A boolean formula in a conjuctive normal form is called a (k,s)-formula if every clause contains exactly k variables and every variable occurs in at most s clauses. We prove the existence of a (k, 4 * (2^k/k))-CNF formula which is unsatisfiable.

  9. 49 CFR 198.13 - Grant allocation formula.

    Science.gov (United States)

    2010-10-01

    ... 49 Transportation 3 2010-10-01 2010-10-01 false Grant allocation formula. 198.13 Section 198.13... PIPELINE SAFETY PROGRAMS Grant Allocation § 198.13 Grant allocation formula. (a) Beginning in calendar year... state agency comments on any proposed changes to the allocation formula. (f) Grants are limited to...

  10. 47 CFR 27.1180 - The cost-sharing formula.

    Science.gov (United States)

    2010-10-01

    ... 47 Telecommunication 2 2010-10-01 2010-10-01 false The cost-sharing formula. 27.1180 Section 27...-sharing formula. (a) An AWS licensee that relocates a BRS system with which it interferes is entitled to pro rata reimbursement based on the cost-sharing formula specified in § 27.1164, except that...

  11. 48 CFR 32.304-3 - Asset formula.

    Science.gov (United States)

    2010-10-01

    ... 48 Federal Acquisition Regulations System 1 2010-10-01 2010-10-01 false Asset formula. 32.304-3... REQUIREMENTS CONTRACT FINANCING Loan Guarantees for Defense Production 32.304-3 Asset formula. (a) Under..., by use of an asset formula, to an amount that does not exceed a specified percentage (90 percent...

  12. 47 CFR 24.243 - The cost-sharing formula.

    Science.gov (United States)

    2010-10-01

    ... 47 Telecommunication 2 2010-10-01 2010-10-01 false The cost-sharing formula. 24.243 Section 24.243... cost-sharing formula. A PCS relocator who relocates an interfering microwave link, i.e. one that is in... microwave incumbent, is entitled to pro rata reimbursement based on the following formula: er12jn96.001...

  13. 40 CFR 72.95 - Allowance deduction formula.

    Science.gov (United States)

    2010-07-01

    ... 40 Protection of Environment 16 2010-07-01 2010-07-01 false Allowance deduction formula. 72.95... (CONTINUED) PERMITS REGULATION Compliance Certification § 72.95 Allowance deduction formula. The following formula shall be used to determine the total number of allowances to be deducted for the calendar...

  14. 24 CFR 92.604 - ADDI allocation formula.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 1 2010-04-01 2010-04-01 false ADDI allocation formula. 92.604... allocation formula. (a) General. HUD will provide ADDI funds to participating jurisdictions in amounts determined by the formula described in this section. (b) Allocation to states that are...

  15. 75 FR 32495 - Operating Fund Subsidies Allocation Formula

    Science.gov (United States)

    2010-06-08

    ... URBAN DEVELOPMENT Operating Fund Subsidies Allocation Formula AGENCY: Office of the Chief Information... available to public housing agencies (PHAs) which assistance is determined using a formula approach under...: Operating Fund Subsidies Allocation Formula. OMB Approval Number: 2577-0029. Form Numbers: HUD-52722,...

  16. 47 CFR 27.1164 - The cost-sharing formula.

    Science.gov (United States)

    2010-10-01

    ... 47 Telecommunication 2 2010-10-01 2010-10-01 false The cost-sharing formula. 27.1164 Section 27...-sharing formula. An AWS relocator who relocates an interfering microwave link, i.e., one that is in all or... incumbent, is entitled to pro rata reimbursement based on the following formula: ER24MY06.007 (a) R N...

  17. 45 CFR 1321.37 - Intrastate funding formula.

    Science.gov (United States)

    2010-10-01

    ... 45 Public Welfare 4 2010-10-01 2010-10-01 false Intrastate funding formula. 1321.37 Section 1321... funding formula. (a) The State agency, after consultation with all area agencies in the State, shall develop and use an intrastate funding formula for the allocation of funds to area agencies under this...

  18. 27 CFR 26.50 - Formulas for liquors.

    Science.gov (United States)

    2010-04-01

    ... Rico who ship wine to the United States shall comply with the formula requirements of 27 CFR part 240... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas for liquors. 26..., DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas...

  19. 27 CFR 26.220 - Formulas for liquors.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formulas for liquors. 26..., DEPARTMENT OF THE TREASURY LIQUORS LIQUORS AND ARTICLES FROM PUERTO RICO AND THE VIRGIN ISLANDS Formulas for Products From the Virgin Islands § 26.220 Formulas for liquors. (a) Distilled spirits products. Persons...

  20. Infant formula increases bone turnover favoring bone formation

    Science.gov (United States)

    In the first year of life, the major infant food choices have traditionally been breast milk (BM), cow's milk formula (MF), or soy formula (SF). Studies examining the effects of infant formula on early life skeletal development are extremely limited. We have enrolled 120 healthy 6-month-old infants ...

  1. A family of inversion formulas in thermoacoustic tomography

    KAUST Repository

    Nguyen, Linh

    2009-10-01

    We present a family of closed form inversion formulas in thermoacoustic tomography in the case of a constant sound speed. The formulas are presented in both time-domain and frequency-domain versions. As special cases, they imply most of the previously known filtered backprojection type formulas. © 2009 AMERICAN INSTITUTE OF MATHEMATICAL SCIENCES.

  2. A general type of twisted anomaly cancellation formulas

    Institute of Scientific and Technical Information of China (English)

    2010-01-01

    For even-dimensional manifolds, we prove some twisted anomaly cancellation formulas which generalize some well-known cancellation formulas. For odd dimensional manifolds, we obtain some modularly invariant characteristic forms by the Chern-Simons transgression and we also get some twisted anomaly cancellation formulas.

  3. 27 CFR 24.303 - Formula wine record.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Formula wine record. 24.303 Section 24.303 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS WINE Records and Reports § 24.303 Formula wine record. A proprietor who produces beverage formula wine shall...

  4. 24 CFR 990.200 - Determination of formula amount.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Determination of formula amount... Subsidy § 990.200 Determination of formula amount. (a) General. The amount of operating subsidy that a PHA is eligible for is the difference between its formula expenses (as calculated under subpart C of...

  5. 42 CFR 51.3 - Formula for determining allotments.

    Science.gov (United States)

    2010-10-01

    ... 42 Public Health 1 2010-10-01 2010-10-01 false Formula for determining allotments. 51.3 Section 51....3 Formula for determining allotments. The Secretary shall make allotments to eligible Systems from amounts apportioned each year under the Act on the basis of a formula prescribed by the Secretary...

  6. 27 CFR 26.197 - Furnishing formula to consignee.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Furnishing formula to... Custody to Internal Revenue Bond § 26.197 Furnishing formula to consignee. Prior to the first shipment... formula covering such spirits to the appropriate TTB officer, and to the proprietor of each...

  7. 24 CFR 570.406 - Formula miscalculation grants.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 3 2010-04-01 2010-04-01 false Formula miscalculation grants. 570... Grants § 570.406 Formula miscalculation grants. (a) General. Grants under this section will be made to... section. (b) Application. Since the grant is to correct a technical error in the formula amount...

  8. New addition formula for the little $q$-Bessel functions

    OpenAIRE

    Bouzeffour, Fethi

    2013-01-01

    Starting from the addition formula for little $q$-Jacobi polynomials, we derive a new addition formula for the little $q$-Bessel functions. The result is obtained by the use of a limit transition. We also establish a product formula for little $q$-Bessel functions with a positive and symmetric kernel.

  9. Infant formula companies battle for breast.

    Science.gov (United States)

    1996-01-01

    The infant formula manufacturer Mead Johnson has filed a lawsuit in Ontario courts against its competitor Ross Abbott for false advertising of its new Similac brand of infant formula. Mead Johnson contends that the Ross Abbott advertisement of Similac as providing benefits similar to mother's milk is false and misleading. Breast feeding specialists agree with Mead Johnson's claim. Yet, one year earlier, Mead Johnson claimed that its infant formula is modeled after mother's milk. The Infant Feeding Action Coalition (INFACT) Canada had complained to the Competition Bureau that called for Mead Johnson to cease its claim. Court documents reveal that both companies disregard the World Health Organization (WHO) International Code of Marketing of Breast Milk Substitutes. This code prohibits manufacturers from advertising directly to pregnant women and mothers. Two Ross Abbott spokespersons have different responses to their advertising practices: increasing emphasis on consumer promotion and support of the principle and objective of the WHO Code. Both companies have sought support of health professionals in Canada. In July 1996 Mead Johnson sent letters to about 7000 clinicians declaring "as someone who cares about infant health and nutrition as much as we do" and "...the most alarming concern is that, although there is no scientific basis for such claims, mothers believe them to be true." Ross Abbott responded to these letters by sending physicians letters declaring "Our business is built on trust, and we assure you that you may trust in Similac Advance and the benefits we have ascribed to it." The two companies will meet again in court on September 30, 1996. PMID:12320465

  10. 78 FR 22442 - Infant Formula: The Addition of Minimum and Maximum Levels of Selenium to Infant Formula and...

    Science.gov (United States)

    2013-04-16

    ... HUMAN SERVICES Food and Drug Administration 21 CFR Part 107 Infant Formula: The Addition of Minimum and Maximum Levels of Selenium to Infant Formula and Related Labeling Requirements AGENCY: Food and Drug... regulations on nutrient specifications and labeling for infant formula to add the mineral selenium to the...

  11. Dirac's monopole, quaternions, and the Zassenhaus formula

    CERN Document Server

    Soloviev, Michael A

    2016-01-01

    Starting from the quaternionic quantization scheme proposed by Emch and Jadczyk for describing the motion of a quantum particle in the magnetic monopole field, we derive an algorithm for finding the differential representation of the star product generated by the quaternionic Weyl correspondence on phase-space functions. This procedure is illustrated by explicit calculation of the star product up to the second order in the Planck constant. Our main tools are an operator analog of the twisted convolution and the Zassenhaus formula for the products of exponentials of noncommuting operators.

  12. Crystal chemical formula for sartorite homologues

    DEFF Research Database (Denmark)

    Makovicky, Emil; Topa, Dan

    2015-01-01

    The members of the sartorite homologous series are complex sulfides Me 2+ 8N–16–2X Me 3+ 16+X Me + XS8N+8where Me 2+ is Pb and Me 3+ is As and Sb, whereas Me + is Ag and/or Tl. This paper presents calculation formulae for the homologue order N and for the separate substitution percentages for Tl...

  13. Composite Sandwich Design for Formula SAE Monocoque

    OpenAIRE

    Sanchez, Christopher Medina

    2013-01-01

    This paper is an approach in how to design a composite sandwich laminate, that is to be used for an open wheeled race car with a monocoque chassis. The composite sandwich design of the monocoque must be in accordance with the 2013 Formula SAE regulations. The composite sandwich laminate is to be used in a preliminary monocoque design based on the Revolve NTNU’s 2013 student race car, the KA Aquilo R. The composite materials for the monocoque’s sandwich structure are HexPly 6376 and Rohacel...

  14. Personal commentary - Crude oil pricing formulas

    OpenAIRE

    Lajous, Adrian

    2006-01-01

    Almost 21 years ago Pemex introduced spot-related formulas for determining the price of its crude oil exports. Other major players in the international oil market later adopted them and they continue to have a major influence on how oil prices are formed today. This might be a good time to remember the context in which they were originally developed, the objectives and constraints to which they responded and the role they played as part of the overall package of instruments of its commercial ...

  15. Study of men sexual formula. Chapter 8

    International Nuclear Information System (INIS)

    Analysis of average indexes of men sexual formula (MSF) for liquidators was carried out. It was shown, that with increasing of radiation doses acting on personnel the suppressing of their sexual functions is growing up. With increasing of absorbed dose the frequency of copulative cycle disorders is increase from 61.5±5.10 % to 85.72±5.08 %. With increase of age the gradations of MSF indexes characterizing different sides of sexual life is decreasing. Received data evident that patients suffered from radiation action during a month characterizing with pronounced and prolonged dysfunction in sexual sphere

  16. Generalized Makeham's Formula and Economic Profitability

    OpenAIRE

    Carlo Alberto Magni

    2013-01-01

    This paper generalizes Makeham’s formula, allowing for varying interest rates and for a non-flat structure of valuation rates. An average interest rate (AIR) is introduced, as well as an average valuation rate (AVR), which exist and are unique for any asset. They can be computed either as principal-weighted arithmetic means or as interest-weighted harmonic means of period rates. Economic profitability of an asset or a portfolio of assets is captured by the spread between AIR and AVR, which ha...

  17. Excel formulas and functions for dummies

    CERN Document Server

    Bluttman, Ken

    2013-01-01

    Learn to use Excel for practical, day-to-day calculations Excel is a powerful program with more than 300 built-in functions that can be used to perform an almost infinite number of calculations. This friendly book shows you how to use the 150 most valuable ones in real-world situations: to compare the cost of buying vs. leasing a car, calculate classroom grades, or evaluate investment performance, for example. Another 85 specialized functions are also described. Detailed, step-by-step instructions help you understand how functions work within formulas and how you can use them t

  18. The Global Properties of Valid Formulas in Modal Logic K

    Institute of Scientific and Technical Information of China (English)

    孙吉贵; 程晓春; 等

    1996-01-01

    Global property is the necessary condition which must be satisfied by the provable formulas.It can help to find out some unprovable formula that does not satisfy some global property before proving it using formal automated reasoning systems,thus the efficiency of the whole system is improved.This paper presents some global properties of valid formulas in modal logic K.Such properties are structure characters of formulas,so they are simple and easy to check.At the same time,some global properties of K unsatisfiable formula set are also given.

  19. Complexity of Some Problems Concerning 2CNF Formulas

    Institute of Scientific and Technical Information of China (English)

    Hans; Kleine; Büning

    2003-01-01

    In this paper we investigate the complexity of several problems concerning 2CNF formulas. At first, we show that the minimal unsatisfiability problem for 2CNF formulas can be solved in linear time. Then we prove that the problem determining if a 2CNF formula can be transformed to a minimal unsatisfiable formula is also solvable in linear time. Thirdly, we show the polynomial solvability of the satisfiability problem for symmetric monotone formulas in which all clauses has length 2 or ? n - k ( n is the ...

  20. Synthesizing Dynamic Programming Algorithms from Linear Temporal Logic Formulae

    Science.gov (United States)

    Rosu, Grigore; Havelund, Klaus

    2001-01-01

    The problem of testing a linear temporal logic (LTL) formula on a finite execution trace of events, generated by an executing program, occurs naturally in runtime analysis of software. We present an algorithm which takes an LTL formula and generates an efficient dynamic programming algorithm. The generated algorithm tests whether the LTL formula is satisfied by a finite trace of events given as input. The generated algorithm runs in linear time, its constant depending on the size of the LTL formula. The memory needed is constant, also depending on the size of the formula.

  1. Walfisz-like formula from Poisson's summation formula and some applications

    International Nuclear Information System (INIS)

    Walfiscz-like formula for the number of lattice points of an arbitrary m-dimensional lattice in a hyperellipsoid with given semi-axes is derived from the Poisson's summation formula. Applications to (i) the evaluation of certain lattice sums and (ii) the calculation of the expressions for the density of states of a single non-relativistic particle as well as of a relativistic particle enclosed in a rectangular m-dimensional box of finite size and subject to different boundary conditions are given. (Author)

  2. Custom Formula-Based Visualizations for Savvy Designers"

    DEFF Research Database (Denmark)

    Kuhail, Mohammad Amin

    instance, it would save time and money if a clinician familiar with spreadsheet formulas could refine a visualization (e.g. the lifelines) rather than hiring a programmer. Existing approaches to visualization are one of the two: accessible to savvy designers but limited in customizability, or inaccessible...... drag and drop visual objects, set the visual object properties with formulas, and see the result immediately. The formulas are declarative and similar to spreadsheet formulas. The formulas compute the property values and can refer to fields, visual properties, functions, etc. This thesis hypothesizes...... that it is possible to express custom visualizations with spreadsheet-like formulas, and savvy designers can learn to refine the visualizations. The thesis presents four contributions: The first is the expressive power of formulas, substantiated with a collection of custom visualizations. The second...

  3. Grothendieck ring of semialgebraic formulas and motivic real Milnor fibres

    CERN Document Server

    Georges, Comte

    2011-01-01

    We define a Grothendieck ring for basic real semialgebraic formulas, that is for systems of real algebraic equations and inequalities. In this ring the class of a formula takes into consideration the algebraic nature of the set of points satisfying this formula and contains as a ring the usual Grothendieck ring of real algebraic formulas. We give a realization of our ring that allows to express a class as a Z[1/2]- linear combination of classes of real algebraic formulas, so this realization gives rise to a notion of virtual Poincar\\'e polynomial for basic semialgebraic formulas. We then define zeta functions with coefficients in our ring, built on semialgebraic formulas in arc spaces. We show that they are rational and relate them to the topology of real Milnor fibres.

  4. Lovelock gravity and Weyl's tube formula

    International Nuclear Information System (INIS)

    In four space-time dimensions, there are good theoretical reasons for believing that general relativity is the correct geometrical theory of gravity, at least at the classical level. If one admits the possibility of extra space-time dimensions, what would we expect classical gravity to be like? It is often stated that the most natural generalization is Lovelock's theory, which shares many physical properties with general relativity. But there are also key differences and problems. A potentially serious problem is the breakdown of determinism, which can occur when the matrix of coefficients of second time derivatives of the metric degenerates. This can be avoided by imposing inequalities on the curvature. Here it is argued that such inequalities occur naturally if the Lovelock action is obtained from Weyl's formulas for the volume and surface area of a tube. Part of the purpose of this article is to give a treatment of the Weyl tube formula in terminology familiar to relativists and to give an appropriate (straightforward) generalization to a tube embedded in Minkowski space.

  5. Surface diffuseness correction in global mass formula

    International Nuclear Information System (INIS)

    By taking into account the surface diffuseness correction for unstable nuclei, the accuracy of the macroscopic–microscopic mass formula is further improved. The rms deviation with respect to essentially all the available mass data falls to 298 keV, crossing the 0.3 MeV accuracy threshold for the first time within the mean-field framework. Considering the surface effect of the symmetry potential which plays an important role in the evolution of the “neutron skin” toward the “neutron halo” of nuclei approaching the neutron drip line, we obtain an optimal value of the symmetry energy coefficient J=30.16 MeV. With an accuracy of 258 keV for all the available neutron separation energies and of 237 keV for the α-decay Q-values of super-heavy nuclei, the proposed mass formula is particularly important not only for the reliable description of the r process of nucleosynthesis but also for the study of the synthesis of super-heavy nuclei

  6. On Proto-Slavic Oath Formulas

    Directory of Open Access Journals (Sweden)

    Jasmina Grković-Major

    2012-08-01

    Full Text Available This paper deals with Slavic oath formulas containing the phrases ‘stand firm’ and ‘hold firm’, found mostly in peace treaties. The analysis carried out on the rich corpus of Old Serbian charters written in the vernacular and followed by a comparison with the data from Old Russian. The research is an attempt to reconstruct their possible Proto-Slavic structure, both linguistic and conceptual. After presenting the relevant data, the author reconstructs the following Proto-Slavic formulas: * stojati tvrьdo / krěpьko vь / na klętvě ( kъ komu ‘stand firm in / on the oath toward someone’, * drьžati tvrьdo / krěpьko klętvǫ ( kъ komu ‘hold firm the oath toward someone’. Both Serbian and Russian charters show lexical variations in the prepositional phrase and in the adverbial modifier of the formulas, which testify to their semantic compositionality. The etymology of their basic lexical constituents (* stojati, * drьžati, * tvrъdo, * krěpьko indicates that ‘immobility, firmness’ is their core meaning, * drьžati ‘make immobile > hold’ being just a transitive version of * stojati ‘be immobile > stand’. The concrete, physical concepts ‘stand’ and ‘hold’ were mapped into the target domain of the abstract ones (> ‘exist’ and ‘keep, have’. They represent the embodied experience and speak in favor of Embodied Realism. Indo-European parallels show that ‘stand’ and ‘hold’ belong to some of the basic Indo-European (although not just Indo-European conceptual metaphors, having a deep cultural motivation. These notions were so deeply rooted into the conceptual apparatus that they survived the change of cultural codes, becoming an integral part of the oath in Christian times. As time went by, they were secularized and reduced to phraseological units. They still exist today, even with the same lexical constituents as in the medieval charters, e.g. Serb. držati X ( reč, obećanje, veru, Russ

  7. Some applications of Rice formulas to waves

    CERN Document Server

    Azaïs, Jean-Marc; Wschebor, Mario

    2009-01-01

    We use Rice's formulas in order to compute the moments of some level functionals which are linked to problems in oceanography and optics. For instance, we consider the number of specular points in one or two dimensions, the number of twinkles, the distribution of normal angle of level curves and the number or the length of dislocations in random wavefronts. We compute expectations and in some cases, also second moments of such functionals. Moments of order greater than one are more involved, but one needs them whenever one wants to perform statistical inference on some parameters in the model or to test the model itself. In some case we are able to use these computations to obtain a Central Limit Theorem.

  8. Black-Scholes Formula in Subdiffusive Regime

    Science.gov (United States)

    Magdziarz, Marcin

    2009-08-01

    In the classical approach the price of an asset is described by the celebrated Black-Scholes model. In this paper we consider a generalization of this model, which captures the subdiffusive characteristics of financial markets. We introduce a subdiffusive geometric Brownian motion as a model of asset prices exhibiting subdiffusive dynamics. We find the corresponding fractional Fokker-Planck equation governing the dynamics of the probability density function of the introduced process. We prove that the considered model is arbitrage-free and incomplete. We find the corresponding subdiffusive Black-Scholes formula for the fair prices of European options and show how these prices can be evaluated using Monte-Carlo methods. We compare the obtained results with the classical ones.

  9. Cosmological Applications of the Gaussian Kinematic Formula

    CERN Document Server

    Fantaye, Yabebal; Maino, Davide; Marinucci, Domenico

    2014-01-01

    The Gaussian Kinematic Formula (GKF, see Adler and Taylor (2007,2011)) is an extremely powerful tool allowing for explicit analytic predictions of expected values of Minkowski functionals under realistic experimental conditions for cosmological data collections. In this paper, we implement Minkowski functionals on multipoles and needlet components of CMB fields, thus allowing a better control of cosmic variance and extraction of information on both harmonic and real domains; we then exploit the GKF to provide their expected values on spherical maps, in the presence of arbitrary sky masks, and under nonGaussian circumstances. All our results are validated by numerical experiments, which show a perfect agreement between theoretical predictions and Monte Carlo simulations.

  10. Handbook of mathematical formulas and integrals

    CERN Document Server

    Jeffrey, Alan

    2003-01-01

    The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik''s Table of Integrals, Series, and Products and other important reference works.The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and Laplace equation.Key Features: * Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results * Contents selected and organized to suit the needs of students, scientists, and engineers * Contains tables of Laplace and Fourier transfor...

  11. Infant Formulas for Food Allergy Treatment and Prevention.

    Science.gov (United States)

    Parekh, Hetu; Bahna, Sami L

    2016-04-01

    The number of infant formulas intended for food allergy treatment or prevention has been increasing. Some products fulfill the criteria for hypoallergenicity, such as extensively hydrolyzed protein (casein or whey) and synthesized amino acid formulas (elemental diet). Numerous partially hydrolyzed formulas have been derived from bovine milk, soybean, and rice. They are not hypoallergenic and are not recommended for children allergic to the parent protein, yet certain preparations have shown efficacy for allergy prevention. Soybean-derived preparations, although not hypoallergenic, have been tolerated by a majority of children allergic to bovine milk. Studies on the addition of probiotics or prebiotics to infant formulas have shown inconsistent findings. Numerous hypoallergenic formulas or milk substitutes are available for pediatricians to choose for children with food allergy. Caution is needed in prescribing formulas that are erroneously marketed as hypoallergenic. [Pediatr Ann. 2016;45(4):e150-e156.]. PMID:27064473

  12. General inverse of Stokes, Vening-Meinesz and Molodensky formulae

    Institute of Scientific and Technical Information of China (English)

    2006-01-01

    The operator operations between the disturbing potential and the geoidal undulation, the gravity anomaly, the deflection of the vertical are defined based on the relations among the gravity potential, the normal gravity potential and the disturbing potential. With the sphere as the boundary surface, based on the solution of the external boundary value problem for the disturbing potential by the spherical harmonics in the physical geodesy, the general inverse Stokes' formula, the general inverse Vening-Meinesz formula and the general Molodensky's formula are derived from the operator operations defined. The general formulae can get rid of the restriction of the classical formulae only used on the geoid. If the boundary surface is defined as the geoid, the general formulas are degenerated into the classic ones.

  13. Design formulas of transmission coefficients for permeable breakwaters

    Institute of Scientific and Technical Information of China (English)

    Su-xiang ZHANG; Xi LI

    2014-01-01

    Newempirical formulas of the transmission coefficient for permeable breakwaters were suggested based on available experimental data regarding the low-crest structure (LCS), including the permeable rubble mound breakwater and pile-type breakwater. The rationality of the present formulas was verified by their comparison with existing empirical and analytical formulas. Numerical flume results were obtained by solving the modified Boussinessq-type wave equations (MBEs), and a new expression relating the friction coefficientαto the relative submerged depth tsRHwas also derived. Comparative analysis shows that the results of the present formulas agree with the numerical flume results as well as available experimental data, and the present formulas are superior to the existing empirical and analytical expressions in estimating the transmission coefficient. The present formulas can provide references for estimation of the transmission coefficient in engineering practice.

  14. Improvement in a phenomenological formula for ground state binding energies

    CERN Document Server

    Gangopadhyay, G

    2016-01-01

    The phenomenological formula for ground state binding energy derived earlier (International Journal of Modern Physics E {\\bf 20} (2011) 179) has been modified. The parameters have been obtained by fitting the latest available tabulation of experimental values. The major modifications include a new term for pairing and introduction of a new neutron magic number at $N=160$. The new formula reduced the root mean square deviation to 363 keV, a substantial improvement over the previous version of the formula.

  15. SOME RECURRENCE FORMULAS FOR BOX SPLINES AND CONE SPLINES

    Institute of Scientific and Technical Information of China (English)

    Patrick J. Van Fleet

    2004-01-01

    A degree elevation formula for multivariate simplex splines was given by Micchelli[6] and extended to hold for multivariate Dirichlet splines in [8]. We report similar formulae for multivariate cone splines and box splines. To this end, we utilize a relation due to Dahmen and Micchelli[4] that connects box splines and cone splines and a degree reduction formula given by Cohen, Lyche, and Riesenfeld in [2].

  16. SOME RECURRENCE FORMULAS FOR BOX SPLINES AND CONE SPLINES

    Institute of Scientific and Technical Information of China (English)

    Patrick J. Van Fleet

    2002-01-01

    A degree elevation formula for multivariate simplex splines was given by Micchelli [6] and extended to hold for multivariate Dirichlet splines in [8]. We report similar formulae for multivariate cone splines and box_splines. To this end, we utilize a relation due to Dahmen and Micchelli [4] that connects box splines and cone splines and a degree reduction formula given by Cohen, Lyche, and Riesenfeld in [2].

  17. Incidence of Diarrhea in Hospitalized Patients with Standard Enteral Formula

    OpenAIRE

    Shabbu Ahmadi bonakdar; Mahdieh Pouryazdanpanah; Zahra Ganie Far; Saba Ghazanfari; Abdolreza Norouzy

    2014-01-01

    Introduction: Malnutrition is common in intensive care unit, occurring in (30% to 50%) of hospitalized patients. To prevent malnutrition, nutritionists recommend industrials formula for patients who cannot eat but with functional gastrointestinal track, But due to verbal nurse`s reports standard enteral formula is inducing diarrhea. In this study our purpose is to evaluate the incidence of diarrhea in hospitalized patients with standard Enteral Nutrition (EN) formula intake. Materials and ...

  18. Analytical approximation formulae for hydrogen diffusion in a metal slab

    International Nuclear Information System (INIS)

    This report treats hydrogen diffusion in the first wall of a fusion machine (INTOR, reactor, etc.), taking the thermal load into account. Analytical approximation formulae are given for the concentration and flux density of hydrogen diffusing through a plane metal slab. The re-emission flux, particularly during the dwell time(s) of machine operation, is also described with analytical formulae. The analytical formulae are compared with numerical calculations for steel as first wall material. (orig.)

  19. Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding

    OpenAIRE

    Wilde, Mark M.; Brun, Todd A.

    2008-01-01

    We provide several formulas that determine the optimal number of entangled bits (ebits) that a general entanglement-assisted quantum code requires. Our first theorem gives a formula that applies to an arbitrary entanglement-assisted block code. Corollaries of this theorem give formulas that apply to a code imported from two classical binary block codes, to a code imported from a classical quaternary block code, and to a continuous-variable entanglement-assisted quantum block code. Finally, we...

  20. CFT and Logarithmic Corrections of Black Hole Entropy Product Formula

    CERN Document Server

    Pradhan, Parthapratim

    2016-01-01

    We examine the \\emph{effects of CFT} (conformal field theory) on the logarithmic corrections of black hole (BH) entropy product formula of outer horizon and inner horizon by explicitly giving several examples. We also argue that logarithmic corrections of BH entropy product formula when calculated via CFT the formula also should \\emph{not be universal} and it also should \\emph{not be quantized}.

  1. A resistance formula for coherent multi-barrier structures

    Institute of Scientific and Technical Information of China (English)

    Zhang Zhi-Chen; Yang Jian-Hong

    2007-01-01

    Using the Landauer formula and the quantum S-matrix scattering theory, we derive a resistance formula for multi-barrier structure under phase coherent transmission condition. This formula shows that when the transport is coherent, the potential wells of the structure are just like conductors contributing to the overall resistance. And because the resistance formula is derived based on the scattering theory, the barrier resistance will change with the number of scattering centres (i.e. the number of barriers) in the structure.

  2. Eling-Oz Formula for Exotic Hairy Black Holes

    CERN Document Server

    Patrushev, Alexander

    2011-01-01

    We checked Eling-Oz formula \\cite{eo} for the bulk viscosity of the holographic fluid dual to the exotic black holes \\cite{bp2}. Initially, Eling and Oz argued that the formula is valid in the high temperature and adiabatic limits. In \\cite{boz} the validity of the formula for $\\caln=2^*$ plasma and cascading gauge theory was pushed forward for arbitrary temperatures. We successfully verified the formula with the computations of the bulk viscosity \\cite{crit,bp2010} for a wide range of the temperatures. Moreover, it correctly reproduces the critical behavior in the vicinity of the critical point, where the bulk-to-shear viscosity diverges.

  3. Cardy-Verlinde Formula of Noncommutative Schwarzschild Black Hole

    International Nuclear Information System (INIS)

    Few years ago, Setare (2006) has investigated the Cardy-Verlinde formula of noncommutative black hole obtained by noncommutativity of coordinates. In this paper, we apply the same procedure to a noncommutative black hole obtained by the coordinate coherent approach. The Cardy-Verlinde formula is entropy formula of conformal field theory in an arbitrary dimension. It relates the entropy of conformal field theory to its total energy and Casimir energy. In this paper, we have calculated the total energy and Casimir energy of noncommutative Schwarzschild black hole and have shown that entropy of noncommutative Schwarzschild black hole horizon can be expressed in terms of Cardy-Verlinde formula

  4. New Formula for Stability of Cube Armoured Roundheads

    DEFF Research Database (Denmark)

    Maciñeira, Enrique; Burcharth, Hans F.

    2009-01-01

    The paper presents a new formula for the stability of cube armoured roundheads. The formula is based on physical model tests in Aalborg University which both long crested and short crested waves of different wave steepness were used. The slope of the radius of the head were varied in order to...... explore the influence of the geometry on the armour stability. Besides cubes with mass density 2.4 t/m3, cubes with mass density 2.80 t/m3 were used in order to include the effect of mass density in the formula. The damage predictions given by the formula have been compared with prototype hand...

  5. A Dilogarithmic Formula for the Cheeger-Chern-Simons Class

    DEFF Research Database (Denmark)

    Dupont, Johan Louis; Zickert, C.K.

    2005-01-01

    We present a simplification of Neumann's formula in [8] for the universal Cheeger-Chern-Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final formula can be applied directly on a homology class in the bar complex.......We present a simplification of Neumann's formula in [8] for the universal Cheeger-Chern-Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final formula can be applied directly on a homology class in the bar complex....

  6. Quantum Schubert polynomials and the Vafa-Intriligator formula

    CERN Document Server

    Kirillov, A N; Kirillov, Anatol N.; Maeno, Toshiaki

    1996-01-01

    We introduce a quantization map and study the quantization of Schubert and Grothendieck polynomials, monomials, elementary and complete polynomials. Our construction is based on the quantum Cauchy identity. As a corollary, we prove the Lascoux-Schützenberger type formula for quantum Schubert polynomials of the flag manifold. Our formula gives a simple method for computation of quantum Schubert polynomials. We also prove the higher genus analog of Vafa-Intriligator's formula for the flag manifold. We introduce the Extended Ehresman-Bruhat order on the symmetric group and prove the equivariant quantum Pieri formula.

  7. Evaluation of standard liver volume formulae for Chinese adults

    Institute of Scientific and Technical Information of China (English)

    Zheng-Rong Shi; Lu-Nan Yan; Bo Li; Tian-Fu Wen

    2009-01-01

    AIM:To evaluate different standard liver volume (SLV) formula and verify the applicability of the formulae for Chinese adults.METHODS:Data from 70 cases of living donor liver transplantation (LDLT) performed at our transplantation centers between January 2008 and April 2009 were analyzed.SLV was estimated using our recently reported formula [the Chengdu formula:SLV (mL) = 11.5×body weight (kg) + 334] and other reported formulae used for Chinese adults.Actual intraoperative liver volumes were obtained from a review of the patients' medical records.RESULTS:The actual right liver volume was not signifi-cantly different from the estimated right liver volume determined by the Chengdu formula,but was significantly smaller than estimates using the Heinemann,Urata,Vauthey,and Lee formulae (P<0.01),and significantly larger than estimates using the Fan formula (P<0.05).CONCLUSION:The Chengdu formula was demonstrated to be reliable by its application in LDLT.

  8. Sums-of-Squares Formulas over Arbitrary Fields

    OpenAIRE

    Lynn, Melissa Kathryn

    2016-01-01

    This dissertation is on sums-of-squares formulas, focusing on whether existence of aformula depends on the base field and on methods for finding sums-of-squares formulas.We introduce a new approach to the study of sums-of-squares formulas, showing that aformula can be regarded as a solution to a system of polynomial equations and thus we can introduce the variety of sums-of-squares formula. This new perspective allows us to utilize tools of algebraic geometry in the study of sums-of-squares f...

  9. Cardy-Verlinde Formula of Noncommutative Schwarzschild Black Hole

    Directory of Open Access Journals (Sweden)

    G. Abbas

    2014-01-01

    Full Text Available Few years ago, Setare (2006 has investigated the Cardy-Verlinde formula of noncommutative black hole obtained by noncommutativity of coordinates. In this paper, we apply the same procedure to a noncommutative black hole obtained by the coordinate coherent approach. The Cardy-Verlinde formula is entropy formula of conformal field theory in an arbitrary dimension. It relates the entropy of conformal field theory to its total energy and Casimir energy. In this paper, we have calculated the total energy and Casimir energy of noncommutative Schwarzschild black hole and have shown that entropy of noncommutative Schwarzschild black hole horizon can be expressed in terms of Cardy-Verlinde formula.

  10. Random 3CNF formulas elude the Lovasz theta function

    OpenAIRE

    Feige, Uriel; Ofek, Eran

    2006-01-01

    Let $\\phi$ be a 3CNF formula with n variables and m clauses. A simple nonconstructive argument shows that when m is sufficiently large compared to n, most 3CNF formulas are not satisfiable. It is an open question whether there is an efficient refutation algorithm that for most such formulas proves that they are not satisfiable. A possible approach to refute a formula $\\phi$ is: first, translate it into a graph $G_{\\phi}$ using a generic reduction from 3-SAT to max-IS, then bound the maximum i...

  11. A Stability Formula for Plastic-Tipped Bullets Part 1: Motivation and Development of New Formula

    CERN Document Server

    Courtney, Michael W

    2014-01-01

    Part 1 of this paper describes a modification of the original Miller twist rule for computing gyroscopic bullet stability that is better suited to plastic-tipped bullets. The original Miller twist rule assumes a bullet of constant density, but it also works well for conventional copper (or gilding metal) jacketed lead bullets because the density of copper and lead are sufficiently close. However, the original Miller twist rule significantly underestimates the gyroscopic stability of plastic-tipped bullets, because the density of plastic is much lower than the density of copper and lead. Here, a new amended formula is developed for the gyroscopic stability of plastic-tipped bullets by substituting the length of just the metal portion for the total length in the $(1 + L^2)$ term of the original Miller twist rule. Part 2 describes experimental testing of this new formula on three plastic-tipped bullets. The new formula is relatively accurate for plastic-tipped bullets whose metal portion has nearly uniform densi...

  12. Effects of Different Fertilizing Formulae on Potato

    Directory of Open Access Journals (Sweden)

    Giovanna Cucci

    Full Text Available Trials conducted on potato fertilization at different rates of nitrogen, phosphorus and potassium have shown that the elements able to influence the marketable tuber yield are nitrogen and phosphorus. The potato dry matter, which reflects other quality aspects such as the specific gravity and the starch content, increases with nitrogen fertilization till 150-200 kg ha-1 of nitrogen; beyond those rates values remain nearly unchanged. Dry matter increases also with the application of phosphorus and at low potassium rates. The objective of the research was to test the effect of different rates of N P K fertilizer on yield and some quality traits of potato. The test was conducted at the Campus of the Agricultural Faculty, Bari University, Italy. It involved the comparison of 6 fertilizing formulae N1 P1 K1, N1 P2 K1, N2 P1 K1, N2 P2 K1, N3 P1 K1, N3 P2 K1, obtained from the factorial combination of three nitrogen levels (N = 100-200-300 kg ha-1 and two phosphorus rates (P2O5 = 50-100 kg ha-1 against an unfertilized control N0P0K0. The dose of potassium was constant for all fertilizing formulae (K2O = 300 kg ha-1. The highest total and marketable yields of tubers per plant have been observed at the two highest fertilizing levels (N3 P1 K1, N3 P2 K1, which are not statistically different so that the best treatments is shown to be N3 P1 K1; the trend was similar for the mean weight of tubers. With the various treatments, no difference was observed in terms of yield of tubers belonging to the two first size classes (< 35mm and 35-55mm; what has increased with the fertilizing levels is the yield of tubers greater than 55 mm. Tuber specific gravity show, as expected, a positive correlation with the dry matter percentage. Both parameters increased shifting from the control to the N2 P2 K1 and decreased at the highest N level, without any difference being observed with the change in the P rate. The highest starch percentage (20.5% was also observed in the

  13. Analytical opacity formulas for ICF elements

    Energy Technology Data Exchange (ETDEWEB)

    Minguez, E. E-mail: minguez@denim.upm.es; Martel, P.; Gil, J.M.; Rubiano, J.G.; Rodriguez, R

    2002-01-01

    Local Thermodynamic Equilibrium (LTE) opacity codes have been developed by the Instituto de Fusion Nuclear (DENIM) during the last years. JIMENA code (Laser and Particle Beams 6 (1998) 265; Laser and Particle Beams 10 (1992) 651) is an opacity code that solves self-consistently, for each temperature and density, the radial Dirac equation with a local spherically symmetrical potential. Very recently we have developed a new opacity code, called ANALOP, that uses an analytical potential (JQSRT 54 (1995) 621), which can include density and temperature effects for atomic data calculations. Opacities are determined with these two codes for selected elements at different plasma conditions. This work is focused on the determination of Rosseland and Planck mean analytical formulas for several single elements used in ICF targets. A scaling law of these mean opacities is given as a function of the plasma parameters: electron temperature and plasma density. These opacities have been tested with numerical results from other codes and with available experimental results.

  14. Elastic modulus formulae for a crosslinked network

    International Nuclear Information System (INIS)

    The usual formula for the elastic modulus E of a crosslinked highly elastic network E = 3ρRT/Mc involves the average molecular weight between crosslinks Mc. It has to be modified by several factors such as the fraction not involved in any external stress and the initial molecular weight distribution. Several correction terms have been proposed. In this paper a fuller calculation is made for two initial molecular weight distributions, uniform and random, to see how far these corrections are valid. Even at high degrees of crosslinking a very significant proportion of the network does not participate in this elastic deformation. It may appear preferable to relate the elastic modulus E to the number of effective segments between crosslinks, independent of their molecular weight Mc E = 3ρkTQ(1-s2)p where Q is the number of crosslinked monomer units per unit volume, and (1-s2)p is a correction factor to allow for segments which are ineffective in an elastic deformation. (author)

  15. How Spacecraft Fly Spaceflight Without Formulae

    CERN Document Server

    Swinerd, Graham

    2009-01-01

    About half a century ago a small satellite, Sputnik 1, was launched. The satellite did very little other than to transmit a radio signal to announce its presence in orbit. However, this humble beginning heralded the dawn of the Space Age. Today literally thousands of robotic spacecraft have been launched, many of which have flown to far-flung regions of the Solar System carrying with them the human spirit of scientific discovery and exploration. Numerous other satellites have been launched in orbit around the Earth providing services that support our technological society on the ground. How Spacecraft Fly: Spaceflight Without Formulae by Graham Swinerd focuses on how these spacecraft work. The book opens with a historical perspective of how we have come to understand our Solar System and the Universe. It then progresses through orbital flight, rocket science, the hostile environment within which spacecraft operate, and how they are designed. The concluding chapters give a glimpse of what the 21st century may ...

  16. Integration formula for Brownian motion on classical compact Lie groups

    OpenAIRE

    Dahlqvist, Antoine

    2012-01-01

    We give new formulas for the moments of the entries of a random matrix whose law is a Brownian motion on a classical compact Lie group. As we let the time go to infinity, these formulas imply the one B. Collins and P. Sniady obtained for Haar measure.

  17. Simple analytic formula for the strength of spin depolarizing resonance

    International Nuclear Information System (INIS)

    A simple analytic formula is derived to explain the periodicity of spin depolarizing resonance. The spin depolarizing resonance strengths of CPS and SPS at CERN and the lattices of meson factory at TRIUMF are used to compare with the analytic formula

  18. 49 CFR 192.105 - Design formula for steel pipe.

    Science.gov (United States)

    2010-10-01

    ... 49 Transportation 3 2010-10-01 2010-10-01 false Design formula for steel pipe. 192.105 Section 192... NATURAL AND OTHER GAS BY PIPELINE: MINIMUM FEDERAL SAFETY STANDARDS Pipe Design § 192.105 Design formula for steel pipe. (a) The design pressure for steel pipe is determined in accordance with the...

  19. Emittance formula for slits and pepper-pot measurement

    International Nuclear Information System (INIS)

    In this note, a rigid formula for slits and pepper-pot emittance measurement is derived. The derivation is based on the one- dimensional slit measurement setup. A mathematical generalization of the slit emittance formula to the pepper-pot measurement is discussed

  20. Formulaic Speech in Early Classroom Second Language Development.

    Science.gov (United States)

    Ellis, Rod

    Formulaic speech, expressions learned as unanalyzed wholes and used on particular occasions by native speakers, is contrasted to "grammatical" sentences using novel combinations of words in the second language classroom. The speech produced by three limited English-speaking children in an English program suggests that formulaic speech enables…

  1. 40 CFR 1065.630 - 1980 international gravity formula.

    Science.gov (United States)

    2010-07-01

    ... 40 Protection of Environment 32 2010-07-01 2010-07-01 false 1980 international gravity formula. 1065.630 Section 1065.630 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY (CONTINUED) AIR... international gravity formula. The acceleration of Earth's gravity, a g, varies depending on your...

  2. A More Intuitive Version of the Lorentz Velocity Addition Formula

    Science.gov (United States)

    Devlin, John F.

    2009-01-01

    The Lorentz velocity addition formula for one-dimensional motion presents a number of problems for beginning students of special relativity. In this paper we suggest a simple rewrite of the formula that is easier for students to memorize and manipulate, and furthermore is more intuitive in understanding the correction necessary when adding…

  3. A Preliminary Analysis of California's New Local Control Funding Formula

    Science.gov (United States)

    Wolf, Rebecca; Sands, Janelle

    2016-01-01

    California recently overhauled its K-12 public education finance system. Enacted in 2013, the Local Control Funding Formula (LCFF) replaced California's 40-year-old funding formula. The LCFF increases district officials' fiscal flexibility; provides more resources to districts serving larger proportions of low-income, English learner (EL), and…

  4. 14 CFR 271.7 - Subsidy payout formula.

    Science.gov (United States)

    2010-01-01

    ... 14 Aeronautics and Space 4 2010-01-01 2010-01-01 false Subsidy payout formula. 271.7 Section 271.7 Aeronautics and Space OFFICE OF THE SECRETARY, DEPARTMENT OF TRANSPORTATION (AVIATION PROCEEDINGS) ECONOMIC... payout formula. (a) Subsidy will be paid by the Department to the air carrier monthly, based on...

  5. Sum formula for SL2 over imaginary quadratic number fields

    NARCIS (Netherlands)

    Lokvenec-Guleska, H.

    2004-01-01

    The subject of this thesis is generalization of the classical sum formula of Bruggeman and Kuznetsov to the upper half-space H3. The derivation of the preliminary sum formula involves computation of the inner product of two specially chosen Poincar´e series in two different ways: the spectral descri

  6. Customizable Visualizations with Formula-Linked Building Blocks

    DEFF Research Database (Denmark)

    Kuhail, Mohammad Amin; Lauesen, Søren

    . Visualization toolkits allow easier visualization creation in some cases, but customization and interaction are tedious. As an alternative, we developed uVis visualization tool that uses spreadsheet-like formulas to connect building blocks. uVis formulas can refer to building blocks and database tables. We...

  7. A Simple Approach to the Landau-Zener Formula

    Science.gov (United States)

    Vutha, Amar C.

    2010-01-01

    The Landau-Zener formula provides the probability of non-adiabatic transitions occurring when two energy levels are swept through an avoided crossing. The formula is derived here in a simple calculation that emphasizes the physics responsible for non-adiabatic population transfer. (Contains 2 figures.)

  8. Formulae for Arithmetic on Genus 2 Hyperelliptic Curves

    DEFF Research Database (Denmark)

    Lange, Tanja

    2005-01-01

    The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the group operations for genus 2 curves. The formulae are completely general but to achieve the lowest number of operations we...

  9. Counting efficiency formulae for two, three or four photomultiplier systems

    International Nuclear Information System (INIS)

    Counting efficiency formulae as a function of the non-detection probability and the electron distributions for systems with two, three or dour photomultipliers are obtained in this paper. It is assumed that the photocathode electron emission follows the Poisson distribution. The obtained formulae are basic to compute the counting efficiency in liquid scintillation spectrometers

  10. The role of infant appetite in extended formula feeding

    NARCIS (Netherlands)

    Syrad, H.; Jaarsveld, C.H.M. van; Wardle, J.; Llewellyn, C.H.

    2015-01-01

    OBJECTIVE: Parental decision-making around extended formula feeding (12 months+) has not been explored previously. This study tested the hypotheses that extended formula milk use (i) is associated with poorer appetite and (ii) supplements lower food intake. METHODS: Appetite was assessed with the Ch

  11. A simple formula for the thermal pair annihilation line emissivity

    OpenAIRE

    Svensson, Roland; Larsson, Stefan; Poutanen, Juri

    1996-01-01

    We introduce a simple and convenient fitting formula for the thermal annihilation line from pair plasmas in cosmic sources. The fitting formula is accurate to 0.04\\% and is valid at all photon energies and temperatures of interest. The commonly used Gaussian line profile is not a good approximation for broader lines.

  12. Trace formula for a dielectric microdisk with a point scatterer

    NARCIS (Netherlands)

    Hales, Robert F.M.; Sieber, Martin; Waalkens, Holger

    2011-01-01

    Two-dimensional dielectric microcavities are of widespread use in microoptics applications. Recently, a trace formula has been established for dielectric cavities which relates their resonance spectrum to the periodic rays inside the cavity. In this paper, we extend this trace formula to a dielectri

  13. Microscopic formula for transport coefficients of causal hydrodynamics

    OpenAIRE

    Koide, T.

    2007-01-01

    The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this work, we propose a formula to calculate the transport coefficients of causal hydrodynamics based on the projection operator method. As concrete examples, we derive the expressions for the diffusion coefficient, the shear viscosity coefficient, and corresponding relaxation times.

  14. 27 CFR 5.28 - Adoption of predecessor's formulas.

    Science.gov (United States)

    2010-04-01

    ... 27 Alcohol, Tobacco Products and Firearms 1 2010-04-01 2010-04-01 false Adoption of predecessor's formulas. 5.28 Section 5.28 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX AND TRADE BUREAU, DEPARTMENT OF THE TREASURY LIQUORS LABELING AND ADVERTISING OF DISTILLED SPIRITS Formulas § 5.28 Adoption...

  15. Tibetan medicinal formulas used to treat neuropsychiatric disorders

    Directory of Open Access Journals (Sweden)

    Raquel de Luna Antonio

    2012-06-01

    Full Text Available Introduction: Men-Tsee-Khang in Dharamsala, India, formally known as the Tibetan Medical and Astrological Institute (TMAI, is dedicated to the teachings and practice of Tibetan medicine, which uses therapeutic agents in multi-ingredient formulas. Aim of the study: The aim of the present study was to identify formulas used at Men-Tsee-Khang for the treatment of neuropsychiatric disorders and to compare the Tibetan usage of particular ingredients with pharmacological data from the scientific database. Methods: Using ethnographic techniques and methods, five physicians were selected, and the interviews were conducted between July 2010 and February 2011. Results: A correlation was observed between central nervous system disorders and rLung, one of the three humors in Tibetan medicine, and 10 formulas used to treat the imbalance of this particular humor were identified. These formulas utilize 61 ingredients, including salts, animal products and plants. The 48 plant species identified in these formulas are traditionally used in Tibetan medicine and are deposited at the Men-Tsee-Khang Herbarium. Each formula treats several symptoms related to rLung imbalance, so the plants may have therapeutic uses distinct from those of the formulas in which they are included. Data from the scientific literature indicate that all of the formulas include ingredients with neuropsychiatric action and corroborate the therapeutic use of 75,6% of the plants. Conclusion: These findings indicate a level of congruence between the therapeutic uses of particular plant species in Tibetan and Western medicines.

  16. Stewart formula and some inequalities for a simplex

    Institute of Scientific and Technical Information of China (English)

    YANG Shi-guo

    2005-01-01

    Problems on Stewart formula and inequalities for the areas of the bisection planes of the dihedral angles of a simplex are studied with the theory and method of distance geometry. Stewart formula and some inequalities for the areas of the bisection planes of the dihedral angles of a simplex inare established.

  17. Understanding State School Finance Formulas. National Education Association Search.

    Science.gov (United States)

    National Education Association, Washington, DC. Research Div.

    The fourth report in a series on school finance describes how state school finance formulas are differentiated and the calculations used to measure local need, wealth, and effort. The following topics are addressed: (1) criteria for evaluating state school finance programs; (2) origins of state school aid formulas; (3) operation of equalization…

  18. Energy-shifting formulae yield reliable reaction and capture probabilities

    International Nuclear Information System (INIS)

    Predictions of energy-shifting formulae for partial reaction and capture probabilities are compared with coupled channels calculations. The quality of the agreement notably improves with increasing mass of the system and/or decreasing mass asymmetry in the heavy-ion collision. The formulae are reliable and useful for circumventing impracticable reaction calculations at low energies

  19. 34 CFR 303.200 - Formula for State allocations.

    Science.gov (United States)

    2010-07-01

    ... 34 Education 2 2010-07-01 2010-07-01 false Formula for State allocations. 303.200 Section 303.200 Education Regulations of the Offices of the Department of Education (Continued) OFFICE OF SPECIAL EDUCATION... TODDLERS WITH DISABILITIES Procedures for Making Grants to States § 303.200 Formula for State...

  20. 45 CFR 1385.8 - Formula for determining allotments.

    Science.gov (United States)

    2010-10-01

    ... 45 Public Welfare 4 2010-10-01 2010-10-01 false Formula for determining allotments. 1385.8 Section 1385.8 Public Welfare Regulations Relating to Public Welfare (Continued) OFFICE OF HUMAN DEVELOPMENT... Formula for determining allotments. The Commissioner will allocate funds appropriated under the Act...

  1. 75 FR 38797 - Predominantly Black Institutions Formula Grant Program

    Science.gov (United States)

    2010-07-06

    ... Predominantly Black Institutions Formula Grant Program ACTION: Notice inviting applications for new awards for fiscal year (FY) 2010; Correction. SUMMARY: On June 21, 2010, we published in the Federal Register (75 FR... Institutions Formula Grant Program (PBI Notice). The PBI Notice incorrectly indicated that this program...

  2. 24 CFR 990.195 - Calculation of formula income.

    Science.gov (United States)

    2010-04-01

    ... communications with the respective PHAs. (e) Inapplicability of 24 CFR 85.25. Formula income is not subject to the provisions regarding program income in 24 CFR 85.25. ... 24 Housing and Urban Development 4 2010-04-01 2010-04-01 false Calculation of formula income....

  3. Ernst equation, Fay identities and variational formulas on hyperelliptic curves

    OpenAIRE

    Klein, C.; Korotkin, D.; Shramchenko, V.

    2004-01-01

    We present a unified approach to theta-functional solutions of the stationary axisymmetric Einstein equations in vacuum. Using Fay's trisecant identity and variational formulas on hyperelliptic Riemann surfaces, we establish formulas for the metric functions, the Ernst potential and their derivatives.

  4. Formula Student as Part of a Mechanical Engineering Curriculum

    Science.gov (United States)

    Davies, Huw Charles

    2013-01-01

    Formula Student (FS) is a multi-university student design competition managed by the UK Institution of Mechanical Engineers. Students are required to demonstrate and prove their creativity and engineering skills through the design, manufacture and financing of a small formula style race car. This paper seeks to explore the educational value that…

  5. Formulaic Sequences and the Implications for Second Language Learning

    Science.gov (United States)

    Xu, Qi

    2016-01-01

    The present paper is a review of literature in relation to formulaic sequences and the implications for second language learning. The formulaic sequence is a significant part of our language, and plays an essential role in both first and second language learning. The paper first introduces the definition, classifications, and major features of…

  6. On formula to compute primes and the nth prime

    CERN Document Server

    Kaddoura, Issam

    2012-01-01

    In this paper, we propose a new primality test, and then we employ this test to find a formula for {\\pi} that computes the number of primes within any interval. We finally propose a new formula that computes the nth prime number as well as the next prime for any given number

  7. Infant Formula: A Little Knowledge Can Be Dangerous.

    Science.gov (United States)

    Frisby-LaRue, Jeannine

    1982-01-01

    Misuse of infant formula products in third-world countries is discussed with regard to the World Health Organization's International Code of Marketing of Breastmilk Substitutes. The Nestle Company's response to the code is presented and the Infant Formula Action Committee (INFACT) boycott of Nestle products is described. (CM)

  8. Asymptotic formulae for implied volatility in the Heston model

    OpenAIRE

    Martin Forde; Antoine Jacquier; Aleksandar Mijatovic

    2009-01-01

    In this paper we prove an approximate formula expressed in terms of elementary functions for the implied volatility in the Heston model. The formula consists of the constant and first order terms in the large maturity expansion of the implied volatility function. The proof is based on saddlepoint methods and classical properties of holomorphic functions.

  9. Cluster radioactivity in trans-tin region using semiempirical formula

    International Nuclear Information System (INIS)

    A semiempirical formula with only three parameters for calculating the logarithm of half-lives of heavy particle emission from a radioactive nucleus is recently proposed. The constants in the formula were obtained by fitting the available data in the trans-actinide region. The suitability of the formula in trans-tin region is studied here. The present study reveals that the semiempirical formula with only three parameters is not agreeing well with other theoretical models in the trans-tin region. Hence, one of the constants proposed earlier which acts a scaling constant is suitably replaced by a quadratic equation. The results are compared with analytical superasymmetric fission model and Shanmugham and Kamalakaran model. The semiempirical formula with new set of constants are found to have a better agreement with the available theoretical results. (author)

  10. Formulas for fixing serum sodium: curb your enthusiasm.

    Science.gov (United States)

    Sterns, Richard H

    2016-08-01

    A variety of formulas have been proposed to predict changes in serum sodium concentration. All are based on an experiment done over 50 years ago by Edelman, who derived a formula relating the plasma sodium concentration to isotopically measured body sodium, potassium, and water. Some of these formulas fail because they do not include urinary losses of electrolytes and water. Even those that include these essential variables are not accurate enough for clinical use because it is impractical to adjust calculations to rapid changes in urinary composition, and because the formulas do not account for changes in serum sodium caused by internal exchanges between soluble and bound sodium stores or shifts of water into or out of cells resulting from changes in intracellular organic osmolytes. Nephrologists should curb their enthusiasm for predictive formulas and rely instead on frequent measurements of the serum sodium when correcting hyponatremia and hypernatremia. PMID:27478590

  11. Investigating uncertainty in BPR formula parameters: a case study

    DEFF Research Database (Denmark)

    Manzo, Stefano; Nielsen, Otto Anker; Prato, Carlo Giacomo

    overall uncertainty within the model. The research described in this paper investigated uncertainty in the BPR formula parameters. Within traffic assignment models, the relationship between travel time and traffic flows is commonly described by the BPR formula. The BPR formula works as a link performance...... the BPR formula parameters distributions from observed data. Two dataset related to the Danish road network, namely Mastra and Hastrid, were analysed so as to estimate the parameters distributions for three different types of roadways: highways, urban roads and local roads. Non-linear regression...... analyses were implemented to simultaneously calculate the values of the BPR formula parameters for each of the road sections included in the two samples, for a total of 28 sections. The resulting parameters distributions were then used to implement an uncertainty analysis on modelled traffic from the...

  12. BOUNDARY INTEGRAL FORMULA OF ELASTIC PROBLEMS IN CIRCLE PLANE

    Institute of Scientific and Technical Information of China (English)

    DONG Zheng-zhu; LI Shun-cai; YU De-hao

    2005-01-01

    By bianalytic functions, the boundary integral formula of the stress function for the elastic problem in a circle plane is developed. But this integral formula includes a strongly singular integral and can not be directly calculated. After the stress function is expounded to Fourier series, making use of some formulas in generalized functions to the convolutions, the boundary integral formula which does not include strongly singular integral is derived further. Then the stress function can be got simply by the integration of the values of the stress function and its derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function for the elastic problem is convenient.

  13. Formalization for Granular Computing Based on Logical Formulas

    Institute of Scientific and Technical Information of China (English)

    Lin Yan; Qing Liu

    2006-01-01

    In order to make formalization for granular computing, some kinds of formulas are constructed on a universe by a logical method. Every formula expresses a property, and can separate a semantic set which consists of all of the objects satisfying the formula. Therefore a granular space on the universe is produced based on the formulas,and the semantic sets separated by the formulas are taken as a formal definition for granules ,and are called abstract granules. Furthermore, it is proved that any specific granule from an extended mathematical system can be formalized into an abstract granule ,the conclusions is obtained that specific granules from approximate spaces and information systems can also be formalized into abstract granules. Based on a granular space and abstract granules, granular computing is defined, which finally realizes the goal of formalization for granular computing.

  14. Kubo formulas for dispersion in heterogeneous periodic nonequilibrium systems.

    Science.gov (United States)

    Guérin, T; Dean, D S

    2015-12-01

    We consider the dispersion properties of tracer particles moving in nonequilibrium heterogeneous periodic media. The tracer motion is described by a Fokker-Planck equation with arbitrary spatially periodic (but constant in time) local diffusion tensors and drifts, eventually with the presence of obstacles. We derive a Kubo-like formula for the time-dependent effective diffusion tensor valid in any dimension. From this general formula, we derive expressions for the late time effective diffusion tensor and drift in these systems. In addition, we find an explicit formula for the late finite-time corrections to these transport coefficients. In one dimension, we give a closed analytical formula for the transport coefficients. The formulas derived here are very general and provide a straightforward method to compute the dispersion properties in arbitrary nonequilibrium periodic advection-diffusion systems. PMID:26764628

  15. The Lichnerowicz-Weitzenböck formula and superconductivity

    International Nuclear Information System (INIS)

    We derive the Lichnerowicz-Weitzenböck formula for the two-component order parameter superconductor, which provides a twofold view of the kinetic energy of the superconductor. For the one component order parameter superconductor we review the connection between the Lichnerowicz-Weitzenböck formula and the Ginzburg-Landau theory. For the two-component case we claim that this formula opens a venue to describe inhomogeneous superconducting states intertwined by spin correlations and charged dislocation. In this case the Lichnerowicz-Weitzenböck formula displays local rotational and electromagnetic gauge symmetry (SU(2) ⊗ U(1)) and relies on local commuting momentum and spin operators. The order parameter lives in a space with curvature and torsion described by Élie Cartan geometrical formalism. The Lichnerowickz-Weitzenböck formula leads to first order differential equations that are a three-dimensional version of the Seiberg-Witten equations.

  16. On the construction of general cubature formula by flat extensions

    Science.gov (United States)

    Bucero, Marta Abril; Bajaj, Chandrajit

    2016-01-01

    We describe a new method to compute general cubature formulae. The problem is initially transformed into the computation of truncated Hankel operators with flat extensions. We then analyze the algebraic properties associated to flat extensions and show how to recover the cubature points and weights from the truncated Hankel operator. We next present an algorithm to test the flat extension property and to additionally compute the decomposition. To generate cubature formulae with a minimal number of points, we propose a new relaxation hierarchy of convex optimization problems minimizing the nuclear norm of the Hankel operators. For a suitably high order of convex relaxation, the minimizer of the optimization problem corresponds to a cubature formula. Furthermore cubature formulae with a minimal number of points are associated to faces of the convex sets. We illustrate our method on some examples, and for each we obtain a new minimal cubature formula.

  17. Growth and development during the first year of life of infants fed breast-milk, milk formula or soy formula

    Science.gov (United States)

    The adequacy of soy infant formulas to support growth and development is still under debate. The concerns center on the phytochemicals such as isoflavones which are associated with the soy proteins, the sole source of protein in soy infant formulas. To assess growth and development of infants fed br...

  18. Social Stereotypes in Communicative Formulae: Sociometric Approach

    Directory of Open Access Journals (Sweden)

    Natalya Zavyalova

    2014-07-01

    Full Text Available The focus of the article is centered on society through the prism of communication. Modern data extraction and information retrieval methods allow building a new vision of communicative process. The article is focused on the example of language idiom representations and omnibus survey, which help concentrate on the most stable human society ways of expression. There is also an attempt to carry out a comparative analysis of social features of the East and the West with the help of on-line national languages’ corpuses. Omnibus survey results testify to the fact that low income people are reluctant to admit the influence of idioms on their day-to-day communicative practices, while rich people stress the significance of stable communicative formulae in their life. Societies are described through their attitude to labor, expressed in the idioms with a ‘hand’ component. With the help of electronic linguistic corpuses (Corpus of the Internet and business Chinese, KOTONOHA (Balanced Corpus of Contemporary Written Japanese, BNC (British National Corpus, COCA (Corpus of Contemporary American English the research analyzes labor stereotypes on the basis of idiom frequency indexes. In practice the results of this study can be implemented in a special socio-cultural dictionary, where the most frequent idioms are given as social stereotypes and the most powerful symbolic tools of influence and manipulation. The results of these findings are relevant to multicultural societies, migration adaptation practices and global business development. The research results have been processed into a database, marked with the Rospatent Certificate (No. 2013620397, dated 03/13/2013. Rightholder: Limited Liability Company 'Content-Press' (RU. First Author: Yakovlev Igor Gennadievich (RU. Second Author: Zavyalova Natalya Alekseevna (RU.

  19. The Cambridge handbook of physics formulas

    International Nuclear Information System (INIS)

    Full text: Writing a review of a handbook of formulas is an interesting exercise in itself. By its very nature, one cannot read a handbook through from cover to cover. In writing such a review, as in many other assessments (e.g. quality of research and of education) it is common to concentrate on those things which are easiest to quantify, even if they are not really relevant to the quality of what one is purporting to assess or, as Hamming (1997 The Art of Doing Science and Engineering (Learning to Learn) (Amsterdam: Gordon and Breach) ISBN 90 5699 501 4) puts it, 'Of the things you can choose to measure some are hard, firm measurements such as height and weight, while some are soft such as social attitudes. There is always a tendency to grab the hard, firm measurement, though it may be quite irrelevant as compared to the soft one.' Following this practice, I start by assessing in detail some points which are easily quantifiable, even if of minor relevance. Most of the book is devoted to equations, but there are some tables. The periodic table stops at element 103 lawrencium). Several heavier elements have been known for over a decade. The author provides the Greek alphabet but not the Russian nor the Hebrew. These would be more useful than tabulating the values of pi () and e to 1000 places, which most of us can generate on our desk-top computers faster than looking them up. Several pages are given to names of units and their values in SI units. It is fun to find out how large a firkin is, and that it has different values in the UK (9 gallons) and US (9.8 US gallons). However, like so many of the older units it has a number of different values. According to Stephen Dresner (1971 Units of Measurement (Aylesbury: Harvey Miller and Metcalf Ltd) ISBN 85602 036 2) a firkin of butter weighs 56 lb and a firkin of soap 64 lb. I should not be surprised to learn that firkins of other commodities had yet other values nor, indeed, that there might be regional differences. I

  20. Derivation of Stokes' Law from Kirkwood's Formula and the Green-Kubo Formula via Large Deviation Theory

    Science.gov (United States)

    Itami, Masato; Sasa, Shin-ichi

    2015-11-01

    We study the friction coefficient of a macroscopic sphere in a viscous fluid at low Reynolds number. First, Kirkwood's formula for the friction coefficient is reviewed on the basis of the Hamiltonian description of particle systems. According to this formula, the friction coefficient is expressed in terms of the stress correlation on the surface of the macroscopic sphere. Then, with the aid of large deviation theory, we relate the surface stress correlation to the stress correlation in the bulk of the fluid, where the latter is characterized by the viscosity in the Green-Kubo formula. By combining Kirkwood's formula and the Green-Kubo formula in large deviation theory, we derive Stokes' law without explicitly employing the hydrodynamic equations.

  1. Nuclear mass formulas and its application for astrophysics

    International Nuclear Information System (INIS)

    Some nuclear mass formulae are reviewed and applied for the calculation of the rapid neutron-capture-process (r-process) nucleosynthesis. A new mass formula composed of the gross term, the even-odd term, and the shell term is also presented. The new mass formula is a revised version of the spherical basis mass formula published in 2001, that is, the even-odd term is treated more carefully, and a considerable improvement is brought about. The root-mean-square deviation of the new formula from experimental masses is 641 keV for Z ≥ 8 and N ≥ 8. Properties on systematic of the neutron-separation energy is compared with some mass formulas. The calculated abundances of the r-process from different mass formulae are compared with use of a simple reaction model, and the relation between the calculated abundances and the corresponding masses are discussed. Furthermore, fission barriers for the superheavy and neutron-rich nuclei are also applied for the endpoint of the r-process. (author)

  2. The effect of lactase and formula reconstitution on milk osmolality.

    LENUS (Irish Health Repository)

    Malone, A J

    2012-02-03

    These experiments investigated the reaction rate of lactase on milk lactose by measuring milk osmolality; and explored the effect of formula reconstitution on milk osmolality. The investigations measured milk osmolality with the Fiske Os, freezing-point osmometer. Lactase (Lactaid) incubated with pure lactose solutions established the validity of the method. Lactase was incubated for 24 hours with four reconstituted milk formulas (Milumil, and Cow and Gate Nutrilon Plus, Farley\\'s First Milk, SMA Gold). Milk osmolality increased most rapidly in the first 4 hours after the addition of lactase. The lactase enzyme completed over 90% of the reaction within 12 hours. The milk osmolalities ranged from 487 to 591 mosm\\/kg after 24 hours with 2-4 drops of lactase in 240 ml of formula. A clinical guideline osmolality of 400 mosm\\/kg was reached in 240 ml of formula at 1 to 12 hours depending on the dose of lactase. High milk osmolalities due to prolonged enzyme incubation, or high lactase doses could be reduced to around 400 mosm\\/kg by dilution of 240 ml of formula with an extra 60 ml of water. The initial osmolality of formula after reconstitution by paediatric nurses varied widely and usually exceeded the manufacturer\\'s quoted osmolality. This initial osmolality was a further influence on the final osmolality reached after the addition of lactase. It is concluded that the recommended incubation time for Lactaid of 24 hours is unnecessary as lactase exerts the majority of its effect in less than 12 hours. Adjustment of Lactaid dose and incubation times will maintain milk formula osmolality within standard guidelines. Dilution with extra water will correct inadvertent high enzyme doses and prolonged incubation times. The normal method of reconstituting milk formulas from powder may be unreliable as the manufacturer\\'s quoted osmolality was not reproduced when milk formulas were reconstituted by paediatric nurses.

  3. Physicians, formula companies, and advertising. A historical perspective.

    Science.gov (United States)

    Greer, F R; Apple, R D

    1991-03-01

    The recent advent of new advertising campaigns for infant formulas aimed at the general public via television commercials, newspapers, free formula coupons, and lay periodicals has disrupted a comfortable symbiotic relationship between infant food manufacturers and the medical profession that has endured for more than 50 years. In the late 19th century, physicians were concerned about the advertising claims of these products and generally felt that indications and directions for their use should be the province of the physician. Between 1929 and 1932, the American Medical Association, through its Committee on Foods and "Seal of Acceptance," essentially required the entire formula industry to advertise only to the medical profession. Since 1932, the US formula industry has developed into a $1.6 billion market. In 1988, Nestlé (absent from the US infant formula industry since the 1940s) acquired the Carnation Company and launched an advertising campaign to the general public for its formula products. Bristol Myers/Mead Johnson, in cooperation with Gerber Products Company, quickly followed suit. These actions threaten to once again remove the realm of infant feeding from the exclusive supervision of the medical profession. The new multimedia public advertising campaigns may increase the cost of infant formula to the general public and have a negative impact on the incidence of breast-feeding. In addition, formula advertising campaigns will likely increase the danger of advertising hyperbole and affect the level of financial support by formula companies for scientific meetings, medical research, education, and social events at medical meetings. PMID:1781817

  4. 21 CFR 107.230 - Elements of an infant formula recall.

    Science.gov (United States)

    2010-04-01

    ... 21 Food and Drugs 2 2010-04-01 2010-04-01 false Elements of an infant formula recall. 107.230... (CONTINUED) FOOD FOR HUMAN CONSUMPTION INFANT FORMULA Infant Formula Recalls § 107.230 Elements of an infant formula recall. A recalling firm shall conduct an infant formula recall with the following elements:...

  5. A nuclear mass formula based on SU(4) symmetry

    International Nuclear Information System (INIS)

    It is argued that mass anomalies at the N ∼ Z line are associated with SU(4) isospin-spin symmetry. Drawing on these arguments, a Weizsaecker-type nuclear mass formula is investigated which has the eigenvalue of the quadratic Casimir operator of SU(4) as a Wigner term. This SU(4)-based mass formula yields a better agreement than the one with the usual Wigner term |N - Z|/A. In addition, the SU(4) eigenvalue expression adequately replaces the usual pairing term of the Weizsaecker formula giving a lower overall rms deviation than the latter. (author)

  6. Determination of Barkas correction and general formula for stopping power

    International Nuclear Information System (INIS)

    The aim of our work was to measure stopping power for alpha particles in different gases and obtaining thc general formula for stopping power. The precise measurement of alpha particle stopping power in gases has been performed with maximal error of 0.7%. The accurate values of stopping power obtained in these measurements enable extraction of Barkas correction term and complete of general stopping power formula. The obtained formula was used for comparison of alpha stopping powers particles in different media. A good agreement we obtained with stopping power measurements in solids (author)

  7. On Eling-Oz formula for the holographic bulk viscosity

    CERN Document Server

    Buchel, Alex

    2011-01-01

    Recently Eling and Oz [1] proposed a simple formula for the bulk viscosity of holographic plasma. They argued that the formula is valid in the high temperature (near-conformal) regime, but is expected to break down at low temperatures. We point out that the formula is in perfect agreement with the previous computations of the bulk viscosity of the cascading plasma [2,3], as well as with the previous computations of the bulk viscosity of N=2^* plasma [4,5]. In the latter case it correctly reproduces the critical behaviour of the bulk viscosity in the vicinity of the critical point with the vanishing speed of sound.

  8. A generalized Allwright formula and the vector Riccati equation

    DEFF Research Database (Denmark)

    Andersen, Kurt Munk; Sandqvist, Allan

    2010-01-01

    with a special type of a differential system called a vector Riccati equation. Moreover,the classical result that a scalar differential equation is a Riccati equation if and only if its general solution is a fractional linear function of the starting value, is also generalized to a differential system.......A classical formula of Allwright on the general solution of a scalar differential equation is generalized to a system of differential equations by means of the Kronecker product.The Allwright formula is connected with the Riccati equation, and in a similar way the generalized formula is connected...

  9. Note on cubature formulae and designs obtained from group orbits

    OpenAIRE

    NOZAKI, Hiroshi; Sawa, Masanori

    2011-01-01

    In 1960, Sobolev proved that for a finite reflection group G, a G-invariant cubature formula is of degree t if and only if it is exact for all G-invariant polynomials of degree at most t. In this paper, we find some observations on invariant cubature formulas and Euclidean designs in connection with the Sobolev theorem. First, we give an alternative proof of theorems by Xu (1998) on necessary and sufficient conditions for the existence of cubature formulas with some strong symmetry. The new p...

  10. Cardy-Verlinde Formula of Noncommutative Schwarzschild Black Hole

    OpenAIRE

    Abbas, G.

    2014-01-01

    Few years ago, Setare \\cite{1} has investigated the Cardy-Verlinde formula of non-commutative black hole obtained by non-commutativity of coordinates. In this paper, we apply the same procedure to a non-commutative black hole obtained by the co-ordinate coherent approch. The Cardy-Verlinde formula is entropy formula of conformal field theory in an arbitrary dimension. It relates the entropy of conformal filed theory to its total energy and Casimir energy. In this paper, we have calculated the...

  11. On the satisfiability of random regular signed SAT formulas

    CERN Document Server

    Laus, Christian

    2011-01-01

    Regular signed SAT is a variant of the well-known satisfiability problem in which the variables can take values in a fixed set V \\subset [0,1], and the `literals' have the form "x \\le a" or "x \\ge a". We answer some open question regarding random regular signed k-SAT formulas: the probability that a random formula is satisfiable increases with |V|; there is a constant upper bound on the ratio m/n of clauses m over variables n, beyond which a random formula is asypmtotically almost never satisfied; for k=2 and V=[0,1], there is a phase transition at m/n=2.

  12. Improving accessibility to mathematical formulas: the Wikipedia Math Accessor

    Science.gov (United States)

    Fuentes Sepúlveda, J.; Ferres, L.

    2012-09-01

    Mathematics accessibility is an important topic for inclusive education. In this paper, we make Wikipedia's repository of mathematical formulas accessible by providing a natural language description of its more than 420,000 formulas using a well-researched sub-language. We also contribute by targeting Spanish speakers, for whom assistive technologies, particularly domain-specific technologies like the one described here, are scarce. Our focus on the semantics of formulas (rather than their visual appearance) allowed us to generate verbalizations with a precision of approximately 80% of understandable descriptions, as shown in an evaluation with sighted users.

  13. A New Formula for Front Slope Recession of Berm Breakwaters

    DEFF Research Database (Denmark)

    Andersen, Thomas Lykke; Burcharth, Hans F.

    2010-01-01

    The front slope stability of breakwaters with a homogeneous berm was studied in a large number of two dimensional model tests at Aalborg University, Denmark. The results are presented together with a new formula for prediction of the berm recession which is the most important parameter for...... describing the reshaping. The formula has also been calibrated and validated against model test data from other researchers. The significance of the new design formula is that it predicts berm recession much better than the existing methods, especially in case of more stable structures....

  14. Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula

    OpenAIRE

    Haglund, J.; Haiman, M.; Loehr, N.

    2005-01-01

    Haglund recently proposed a combinatorial interpretation of the modified Macdonald polynomials H̃μ. We give a combinatorial proof of this conjecture, which establishes the existence and integrality of H̃μ. As corollaries, we obtain the cocharge formula of Lascoux and Schützenberger for Hall–Littlewood polynomials, a formula of Sahi and Knop for Jack's symmetric functions, a generalization of this result to the integral Macdonald polynomials Jμ, a formula for H̃μ in terms of Lascoux–Leclerc–Th...

  15. Correction to the Moliere's formula for multiple scattering

    CERN Document Server

    Lee, R N

    2008-01-01

    The quasiclassical correction to the Moliere's formula for multiple scattering is derived. The consideration is based on the scattering amplitude, obtained with the first quasiclassical correction taken into account for arbitrary localized but not spherically symmetric potential. Unlike the leading term, the correction to the Moliere's formula contains the target density $n$ and thickness $L$ not only in the combination $nL$ (areal density). Therefore, this correction can be reffered to as the bulk density correction. It turns out that the bulk density correction is small even for high density. This result explains the wide region of applicability of the Moliere's formula.

  16. VERIFICATION AND COMPARISON OF FORMULAS FOR BED LOAD TRANSPORT

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    Several typical formulas for bed load transport are examinedbased on field data in this paper. It is concluded that, the Einstein formula provides good estimates for the bed load transport rate while other ones predict much lower transport rates. The main reason for the under-prediction is that Dp, the effective diameter of particles, is too large as a representative diameter of the bed material for gravel streams with partially movable bed. Performance of these formulas can be significantly improved if D35 is adopted instead of Dp.

  17. Cubature Formula and Interpolation on the Cubic Domain

    Institute of Scientific and Technical Information of China (English)

    Huiyuan Li; Jiachang Sun; Yuan Xu

    2009-01-01

    Several cubature formulas on the cubic domains are derived using the dis-crete Fourier analysis associated with lattice tiling, as developed in [10]. The main results consist of a new derivation of the Gaussian type cubature for the product Cheby-shev weight functions and associated interpolation polynomials on [-1,1]2, as well as new results on [-1,1]3. In particular, compact formulas for the fundamental interpo-lation polynomials are derived, based on n3/4 + (n2) nodes of a cubature formula on [-1,1]3.

  18. Hydrolyzed infant formula and early β-cell autoimmunity

    DEFF Research Database (Denmark)

    Knip, Mikael; Åkerblom, Hans K; Becker, Dorothy;

    2014-01-01

    intact proteins. OBJECTIVE: To test the hypothesis that weaning to an extensively hydrolyzed formula decreases the cumulative incidence of diabetes-associated autoantibodies in young children. DESIGN, SETTING, AND PARTICIPANTS: A double-blind randomized clinical trial of 2159 infants with HLA...... no clinically significant differences in the rate of reported adverse events between the 2 groups. CONCLUSIONS AND RELEVANCE: Among infants at risk for type 1 diabetes, the use of a hydrolyzed formula, when compared with a conventional formula, did not reduce the incidence of diabetes-associated autoantibodies...

  19. Single-level resonance parameters fit nuclear cross-sections

    Science.gov (United States)

    Drawbaugh, D. W.; Gibson, G.; Miller, M.; Page, S. L.

    1970-01-01

    Least squares analyses of experimental differential cross-section data for the U-235 nucleus have yielded single level Breit-Wigner resonance parameters that fit, simultaneously, three nuclear cross sections of capture, fission, and total.

  20. Particle Width Effect on $CP$-Violating Asymmetries

    OpenAIRE

    Liu, Jiang

    1992-01-01

    $CP$-violating asymmetries calculated from the Breit-Wigner approximation for unstable particle propagators violate $CPT$. A formalism satisfying $CP$ invariance and unitarity is presented. Applications are given to $t$ decays. For the decay $t\\to b\

  1. On Ruby's solid angle formula and some of its generalizations

    CERN Document Server

    Friot, Samuel

    2014-01-01

    Using the Mellin-Barnes representation, we show that Ruby's solid angle formula and some of its generalizations may be expressed in a compact way in terms of the Appell F4 and Lauricella Fc functions.

  2. On Ruby's solid angle formula and some of its generalizations

    Science.gov (United States)

    Friot, Samuel

    2015-02-01

    Using the Mellin-Barnes representation, we show that Ruby's solid angle formula and some of its generalizations may be expressed in a compact way in terms of the Appell F4 and Lauricella FC functions.

  3. A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity

    OpenAIRE

    Ackermann, Thomas; Tolksdorf, Jürgen

    1995-01-01

    We prove a generalized version of the well-known Lichnerowicz formula for the square of the most general Dirac operator $\\widetilde{D}$\\ on an even-dimensional spin manifold associated to a metric connection $\\widetilde{\

  4. The interactional significance of formulas in autistic language.

    Science.gov (United States)

    Dobbinson, Sushie; Perkins, Mick; Boucher, Jill

    2003-01-01

    The phenomenon of echolalia in autistic language is well documented. Whilst much early research dismissed echolalia as merely an indicator of cognitive limitation, later work identified particular discourse functions of echolalic utterances. The work reported here extends the study of the interactional significance of echolalia to formulaic utterances. Audio and video recordings of conversations between the first author and two research participants were transcribed and analysed according to a Conversation Analysis framework and a multi-layered linguistic framework. Formulaic language was found to have predictable interactional significance within the language of an individual with autism, and the generic phenomenon of formulaicity in company with predictable discourse function was seen to hold across the research participants, regardless of cognitive ability. The implications of formulaicity in autistic language for acquisition and processing mechanisms are discussed. PMID:12945605

  5. An Empirical Formula for Sound Absorption of Fibrous Materials

    Institute of Scientific and Technical Information of China (English)

    ZHANG Xin-an

    2008-01-01

    The sound absorption coefficient (SAC) curves of the nonwovens, fabrics, and thick fibrous layers with the frequency in the range of 125-3 200 Hz and cavity distances of 5 cm, 10 cm, 20 cm, 30 cm and 40 cm were measured.Based on analysis, it is found that the SAC is actually in direct proportion to the relative vibration amplitude of the sound wave, resulting in obtaining a mathematical expression showing that the SAC changes with the frequency for a given material. Additionally, a good corresponding relation between the maximal SAC and the permeability of the materials is discovered, thus an empirical formula is established. As a result, a complete SAC formula has been developed. In this formula, the SAC is solely a function of the sound wave frequency and permeability of the material. In comparison with sound absorption spectra of several materials, the calculated results and results measured with the formula coincide well with each other.

  6. The structural elucidation of Eisenstein’s formula

    Institute of Scientific and Technical Information of China (English)

    HASHIMOTO; Masahiro; KANEMITSU; Shigeru

    2010-01-01

    In this paper,we shall give a complete structural description of generalizations of the classical Eisenstein formula that expresses the first periodic Bernoulli polynomial as a finite combination of cotangent values,as a relation between two bases of the vector space of periodic Dirichlet series.We shall also determine the limiting behavior of them,giving rise to Gauss’ famous closed formula for the values of the digamma function at rational points on the one hand and elucidation of Eisenstein-Wang’s formulas in the context of Kubert functions on the other.W shall reveal that most of the relevant previous results are the combinations of the generalized Eisenstein formula and the functional equation.

  7. A note on the loop formula for the fermionic determinant

    Science.gov (United States)

    Seiler, Erhard; Stamatescu, Ion-Olimpiu

    2016-08-01

    A formula expressing the fermionic determinant as an infinite product of smaller determinants is derived and discussed. These smaller determinants are of a fixed size, independent of the size of the lattice and are indexed by loops of increasing length.

  8. A Prebiotic Formula Improves the Gastrointestinal Bacterial Flora in Toddlers

    Science.gov (United States)

    Chen, Ya-Ling; Liao, Fang-Hsuean

    2016-01-01

    We aimed to investigate the effect of enriched 3-prebiotic formula (including inulin, fructooligosaccharides, and galactooligosaccharides) on toddler gut health by measuring fecal microbiota. Our results revealed that the consumption of 3-prebiotic formula three times per day giving total intake of 1.8 g prebiotic ingredients significantly showed the increased number of probiotic Bifidobacterium spp. colonies and the reduced populations of both C. perfringens and total anaerobic bacteria on the fecal bacterial flora in toddlers at 18~36 months. In addition, total organic acids in the fecal samples significantly increased which improves the utilization of bifidus under acidic conditions after consumption of the 3-prebiotic formula. Therefore, using the formula enriched with prebiotic may maintain gut health in toddlers. PMID:27403155

  9. Quantum mechanical derivation of the Wallis formula for π

    International Nuclear Information System (INIS)

    A famous pre-Newtonian formula for π is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, including the physical three dimensions

  10. SU(4), SU(8) mass formulas and weak interactions

    International Nuclear Information System (INIS)

    ss formulas for SU(4) and SU(8) groups were obtained, and are especially very simple for degenerate representations. Also, tensor representations of baryon multiplets are discussed together with some applications to weak decay processes. (U.S.)al

  11. Empirical verification of recently proposed hadron mass formulas

    International Nuclear Information System (INIS)

    For the nucleon resonances as well as for the heavy vector mesons different mass formulas are compared. Those corresponding to a band of rotational excitations of the particle seem to agree rather well with the existing data. (orig.)

  12. Empirical verification of recently proposed hadron mass formulas

    International Nuclear Information System (INIS)

    For the nucleon resonances as well as for the heavy vector mesons different mass formulas are compared. Those corresponding to a band of rotational excitations of the particle seem to agree rather well with the existing data. (author)

  13. Empirical Verification of the Polish Formula of Text Difficulty

    Directory of Open Access Journals (Sweden)

    Edyta Charzyńska

    2015-12-01

    Full Text Available Empirical Verification of the Polish Formula of Text DifficultyThe aim of the study was to verify the accuracy of the formula for assessing the difficulty of texts written in Polish (Pisarek 1969. The study involved 1,309 persons aged between 15 and 84. 15 texts were used, each approximately 300 words long, representing different subjects and varied difficulty level. Text comprehension was checked with multiple choice tests, the cloze procedure and open-ended questions. Significant correlations between the difficulty of a text and its comprehension were found (rmc(15 = -0.529, p = 0.043; ropen = -0.519, p = 0.047; rcloze = -0.656, p = 0.008. The results confirmed relative accuracy and usefulness of Pisarek's readability formula. The discussion includes proposed ways of improving the current form of the formula.

  14. Some Computational Formulas for D-Nörlund Numbers

    OpenAIRE

    Guodong Liu

    2009-01-01

    The author establishes some identities involving the $D$ numbers, Bernoulli numbers, and central factorial numbers of the first kind. A generating function and several computational formulas for $D$ -Nörlund numbers are also presented.

  15. Higher-order corrections to the Grimus-Stockinger formula

    International Nuclear Information System (INIS)

    For the Grimus-Stockinger formula one and the same dimensionless parameter of asymptotic expansion is found by several ways of calculations. This parameter strongly depends on the width of wave packet

  16. Application of Erlang Formulae in Next Generation Networks

    Directory of Open Access Journals (Sweden)

    Erik Chromy

    2012-02-01

    Full Text Available The paper deals with the possibility of the Erlang B and Erlang C formula utilization in Next Generation Networks (NGN. Based on the common properties of synchronous and asynchronous networks it is possible the utilization of Erlang formulas also for asynchronous networks. It is possible to describe traffic in NGN networks by calculation of following parameters – loss, link utilization and bandwidth. The second part of this paper deals with the possibility of application of Erlang B formula in contact center. Contact center is one of the many examples of the NGN networks. By application of Erlang B formula in contact center environment it is possible to monitor following important parameters - number of agents, probability of call blocking, utilization of agents and mean number of calls in the system.

  17. Asymptotic formula for eigenvalues of one dimensional Dirac system

    Science.gov (United States)

    Ulusoy, Ismail; Penahlı, Etibar

    2016-06-01

    In this paper, we study the spectral problem for one dimensional Dirac system with Dirichlet boundary conditions. By using Counting lemma, we give an asymptotic formulas of eigenvalues of Dirac system.

  18. Thermal inactivation of Enterobacter sakazakii in rehydrated infant formula.

    Science.gov (United States)

    Edelson-Mammel, Sharon G; Buchanan, Robert L

    2004-01-01

    The presence of low levels of Enterobacter sakazakii in dried infant formula have been linked to outbreaks of meningitis, septicemia, and necrotizing enterocolitis in neonates, particularly those who are premature or immunocompromised. In the current study, the ability of 12 strains of E. sakazakii to survive heating in rehydrated infant formula was determined at 58 degrees C with a submerged coil apparatus. The observed D58-values ranged from 30.5 to 591.9 s, with the strains appearing to fall into two distinct heat resistance phenotypes. The z-value of the most heat-resistant strain was 5.6 degrees C. When dried infant formula containing this strain was rehydrated with water preequilibrated to various temperatures, a more than 4-log reduction in E. sakazakii levels was achieved by preparing the formula with water at 70 degrees C or greater. PMID:14717352

  19. Confirmation of some formulas related to spin coherence time

    CERN Document Server

    Orlov, Yuri

    2015-01-01

    This paper considers two sets of formulas related to a Spin Coherence Time (SCT) case with only vertical oscillations in a purely electric ring, the first derived by the author for the field index m > 0 and the second by Ivan Koop for the field index m = 0. I argue that a continuous transition can exist from one set to the other (contrary to appearances), and assume that a necessary condition for the transition is that both sets of formulas follow from the same equation. I demonstrate that they do follow when one takes into account that the first set of formulas holds only for times much larger than the period of the vertical oscillations. This demonstration confirms the correctness of the formulas and the equation.

  20. Formula calculation methods of water content in sweet natural gas and their adaptability analysis

    Directory of Open Access Journals (Sweden)

    Zhu Lin

    2014-12-01

    Full Text Available Estimation of water content is the foundation of natural gas processing and designing, and a formula calculation method provides a solution simple and easy to be programmed by computers. In this regard, several main formula calculation methods of water content in sweet natural gas were reviewed and evaluated individually. There are formulas fitted with nomographic data (e.g. Sloan formula, Ning Yingnan formula, Khaled formula and Bahadori formula, empirical formulas fitted with experimental data (e.g. Zhu Lin formula, Behr formula and Kazim formula and formulas generated based on water-hydrocarbon phases equilibrium (e.g. Saturated Vapor Pressure Model, Modified Ideal Model, Simplified Thermodynamic Model and Bukacek formula. The comparison of calculated and experimental values of each above formula calculation method indicates that, the Khaled formula provided the minimum average absolute deviation (AAD – 2.524 0%, while the Behr method achieved the maximum AAD – 19.255%. After the analysis of the AAD results calculated by the methods at different temperature ranges, the Zhu Lin formula is recommended for −50 to −40 °C, the Sloan formula for −40 to 0 °C, the Simplified Thermodynamic Model for 0 to 37.78 °C, the Khaled formula for 37.78 to 171.11 °C, and the Bukacek formula for 171.11 to 237.78 °C.

  1. There is (still too much aluminium in infant formulas

    Directory of Open Access Journals (Sweden)

    Burrell Shelle-Ann M

    2010-08-01

    Full Text Available Abstract Background Infant formulas are sophisticated milk-based feeds for infants which are used as a substitute for breast milk. Historically they are known to be contaminated by aluminium and in the past this has raised health concerns for exposed infants. We have measured the aluminium content of a number of widely used infant formulas to determine if their contamination by aluminium and consequent issues of child health persists. Methods Samples of ready-made milks and powders used to make milks were prepared by microwave digestion of acid/peroxide mixtures and their aluminium content determined by THGA. Results The concentration of aluminium in ready-made milks varied from ca 176 to 700 μg/L. The latter concentration was for a milk for preterm infants. The aluminium content of powders used to make milks varied from ca 2.4 to 4.3 μg/g. The latter content was for a soya-based formula and equated to a ready-to-drink milk concentration of 629 μg/L. Using the manufacturer's own guidelines of formula consumption the average daily ingestion of aluminium from infant formulas for a child of 6 months varied from ca 200 to 600 μg of aluminium. Generally ingestion was higher from powdered as compared to ready-made formulas. Conclusions The aluminium content of a range of well known brands of infant formulas remains high and particularly so for a product designed for preterm infants and a soya-based product designed for infants with cow's milk intolerances and allergies. Recent research demonstrating the vulnerability of infants to early exposure to aluminium serves to highlight an urgent need to reduce the aluminium content of infant formulas to as low a level as is practically possible.

  2. Understanding Model Counting for beta-acyclic CNF-formulas

    OpenAIRE

    Brault-Baron, Johann; Capelli, Florent; Mengel, Stefan

    2015-01-01

    We show that SAT on beta-acyclic CNF-formulas can be solved in polynomial time. In contrast to previous algorithms for other structurally restricted classes of formulas, our algorithm does not proceed by dynamic programming. Instead, it works along an elimination order, solving a weighted version of constraint satisfaction. We give evidence that this deviation from more standard algorithms is no coincidence by showing that it is outside of the framework recently proposed by Saether et al. (SA...

  3. Generic formula of soft scalar masses in string models

    International Nuclear Information System (INIS)

    We derive formula of soft supersymmetry breaking scalar masses from 4-dimensional string models within a more generic framework. We consider effects of extra gauge symmetry breakings including an anomalous U(1) breaking through flat directions, that is, D-term and F-term contributions, particle mixing effects and heavy-light mass mixing effects. Some phenomenological implications are discussed based on our mass formula. (author)

  4. Explicit formulas for GJMS-operators and $Q$-curvatures

    OpenAIRE

    Juhl, Andreas

    2011-01-01

    We describe GJMS-operators as linear combinations of compositions of natural second-order differential operators. These are defined in terms of Poincar\\'e-Einstein metrics and renormalized volume coefficients. As special cases, we find explicit formulas for conformally covariant third and fourth powers of the Laplacian. Moreover, we prove related formulas for all Branson's $Q$-curvatures. The results settle and refine conjectural statements in earlier works. The proofs rest on the theory of r...

  5. Improvement in a phenomenological formula for ground state binding energies

    OpenAIRE

    Gangopadhyay, G.

    2016-01-01

    The phenomenological formula for ground state binding energy derived earlier (International Journal of Modern Physics E {\\bf 20} (2011) 179) has been modified. The parameters have been obtained by fitting the latest available tabulation of experimental values. The major modifications include a new term for pairing and introduction of a new neutron magic number at $N=160$. The new formula reduced the root mean square deviation to 363 keV, a substantial improvement over the previous version of ...

  6. Analysis of a Carbon Fibre Rim : Student Formula

    OpenAIRE

    Uyttersprot, Bryan

    2015-01-01

    This master’s thesis is within the context of a formula race competition between universities. The main goal is to replace the modern rims of the TAMK Student Formula car by lighter and more efficient rims. To achieve this goal, important topics such as general rim design, tyre forces, tyre moments, strength of materials, fatigue and mechanical properties of carbon fibre were examined. Carbon fibre was applied because of its decent strength, weight and fatigue characteristics. Two possib...

  7. uVis: A Formula-Based Visualization Tool

    DEFF Research Database (Denmark)

    Pantazos, Kostas; Xu, Shangjin; Kuhail, Mohammad Amin;

    Several tools use programming approaches for developing advanced visualizations. Others can with a few steps create simple visualizations with built-in patterns, and users with limited IT experience can use them. However, it is programming and time demanding to create and customize these visualiz......-like formulas for color, position, interaction, etc. A formula can refer to database fields, other building blocks, properties, etc....

  8. On the Limitations of Neutrino Emissivity Formula of Iwamoto

    OpenAIRE

    Ghosh, Sanjay K.; Phatak, S. C.; Sahu, Pradip K.

    1993-01-01

    The neutrino emissivity from two and three flavour quark matter is numerically calculated and compared with Iwamoto's formula. We find that the calculated emissivity is smaller than Iwamoto's result by orders of magnitude when $p_{f}(u)+p_{f}(e)-p_{f}(d(s))$ is comparable with the temperature. We attribute it to the severe restriction imposed by momentum conservation on the phase space integral. We obtain an alternate formula for the neutrino emissivity which is valid when the quarks and elec...

  9. Smarr formula for Lovelock black holes: A Lagrangian approach

    Science.gov (United States)

    Liberati, Stefano; Pacilio, Costantino

    2016-04-01

    The mass formula for black holes can be formally expressed in terms of a Noether charge surface integral plus a suitable volume integral, for any gravitational theory. The integrals can be constructed as an application of Wald's formalism. We apply this formalism to compute the mass and the Smarr formula for static Lovelock black holes. Finally, we propose a new prescription for Wald's entropy in the case of Lovelock black holes, which takes into account topological contributions to the entropy functional.

  10. A practical formula for the radiated angular momentum

    OpenAIRE

    Lousto, Carlos O.; Zlochower, Yosef

    2007-01-01

    We present a simple formula for the radiated angular momentum based on a spin-weighted spherical harmonic decomposition of the Weyl scalar psi_4 representing outgoing radiation in the Kinnersley tetrad. We test our formula by measuring the radiated angular momentum from three simulations of non-spinning equal-mass black-hole binary with orbital angular momentum aligned along the x, y, and z axes respectively. We find that the radiated angular momentum agrees with the differences in the remnan...

  11. School Finance Reform: Aid Formulas and Equity Objectives

    OpenAIRE

    Duncombe, William; Yinger, John

    1998-01-01

    State education officials have implemented performance standards, but state education aid has not kept up. By focusing on the relationship between spending and property wealth, most existing aid formulas only partially account for cost differences across districts and, thus, fail to fully promote equity in school performance. This paper shows how to estimate comprehensive educational cost indexes that control for school district inefficiency and include them in state aid formulas. It also sim...

  12. Pathwise integrals and Ito-Tanaka Formula for Gaussian processes

    OpenAIRE

    Sottinen, Tommi; Viitasaari, Lauri

    2013-01-01

    We prove the Ito-Tanaka formula and the existence of pathwise stochastic integrals for a wide class of Gaussian processes. Motivated by financial applications, we define the stochastic integrals as forward-type pathwise integrals introduced by F\\"ollmer and as pathwise generalized Lebesgue-Stieltjes integrals introduced by Z\\"ahle. As an application, we illustrate the importance of Ito-Tanaka formula for pricing and hedging of financial derivatives.

  13. Microscopic formula of transport coefficients for causal hydrodynamics

    CERN Document Server

    Koide, T

    2007-01-01

    The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics, because of the problem of acausality and the breaking of sum rules. In this work, we propose a new formula to calculate the transport coefficients of causal hydrodynamics based on the projection operator method. As concrete examples, we derive the expressions for the diffusion coefficient, the shear viscosity coefficient and corresponding relaxation times.

  14. Correction to the Moliere's formula for multiple scattering

    OpenAIRE

    Lee, R.N.; Milstein, A.I.

    2008-01-01

    The quasiclassical correction to the Moliere's formula for multiple scattering is derived. The consideration is based on the scattering amplitude, obtained with the first quasiclassical correction taken into account for arbitrary localized but not spherically symmetric potential. Unlike the leading term, the correction to the Moliere's formula contains the target density $n$ and thickness $L$ not only in the combination $nL$ (areal density). Therefore, this correction can be reffered to as th...

  15. Duality and corrections to the van Royen-Weisskopf formula

    International Nuclear Information System (INIS)

    We propose that duality can be used in conjunction with QCD calculations of the cross section for e+e- → qanti q- to evaluate relativistic and radiative corrections to the leptonic widths of the psi and UPSILON states. We use this method to discuss relativistic corrections to the van Royen-Weisskopf formula for leptonic widths. We also point out that this formula is in error by an important factor 4m2sub(q)/M2sub(n). (orig.)

  16. A Prebiotic Formula Improves the Gastrointestinal Bacterial Flora in Toddlers

    OpenAIRE

    Chen, Ya-Ling; Liao, Fang-Hsuean; Lin, Shyh-Hsiang; Chien, Yi-Wen

    2016-01-01

    We aimed to investigate the effect of enriched 3-prebiotic formula (including inulin, fructooligosaccharides, and galactooligosaccharides) on toddler gut health by measuring fecal microbiota. Our results revealed that the consumption of 3-prebiotic formula three times per day giving total intake of 1.8 g prebiotic ingredients significantly showed the increased number of probiotic Bifidobacterium spp. colonies and the reduced populations of both C. perfringens and total anaerobic bacteria on t...

  17. A next-to-leading Lüscher formula

    International Nuclear Information System (INIS)

    We propose a next-to-leading Lüscher-like formula for the finite-size corrections of the excited states energies in integrable theories. We conjecture the expressions of the corrections for both the energy and the particles’ rapidities by interpreting the excited states as momenta-dependent defects. We check the resulting formulas in some simple relativistic model and conjecture those for the AdS5/CFT4 case

  18. Oscillating system design applying universal formula for control

    OpenAIRE

    Efimov, Denis; Perruquetti, Wilfrid

    2011-01-01

    The problem of oscillating system design applying the homogeneity approach is studied. The Anti-control Lyapunov Function (ALF) is introduced as a counterpart of Control Lyapunov Function (CLF) for the control design that destabilizes a nonlinear system. A universal anti-control formula is proposed. Next, the universal control formulas based on ALF and CLF are used to design an oscillating system. Efficiency of the proposed approach is demonstrated on example.

  19. q-Extension of the Euler formula and trigonometric functions

    Science.gov (United States)

    Kim, T.

    2007-09-01

    In this paper, we introduce a Daehee constant, the so-called q-extension of the Napier constant, and consider the Daehee formula associated with the q-extensions of trigonometric functions. That is, we derive the q-extensions of sine and cosine functions from our Daehee formula. Finally, we present the q-calculus related to the q-extensions of sine and cosine functions.

  20. Limit formulas for metric measure invariants and phase transition property

    OpenAIRE

    Ozawa, Ryunosuke; Shioya, Takashi

    2014-01-01

    We generalize the observable diameter and the separation distance for metric measure spaces to those for pyramids, and prove some limit formulas for these invariants for a convergent sequence of pyramids. We obtain various applications of our limit formulas as follows. We have a criterion of the phase transition property for a sequence of metric measure spaces or pyramids, and find some examples of symmetric spaces of noncompact type with the phase transition property. We also give a simple p...

  1. An implicit spectral formula for generalized linear Schroedinger equations

    International Nuclear Information System (INIS)

    We generalize the semiclassical Bohr–Sommerfeld quantization rule to an exact, implicit spectral formula for linear, generalized Schroedinger equations admitting a discrete spectrum. Special cases include the position-dependent mass Schroedinger equation or the Schroedinger equation for weighted energy. Requiring knowledge of the potential and the solution associated with the lowest spectral value, our formula predicts the complete spectrum in its exact form. (author)

  2. Modified Bethe-Weizsaecker mass formula for hypernuclei

    International Nuclear Information System (INIS)

    The Bethe-Weizsaecker mass formula originally designed to reproduce the gross features of nuclear binding energies for medium and heavy mass nuclei, fails for light nuclei especially away from the line of stability. To alleviate this problem a modified Bethe-Weizsaecker mass formula was suggested which explained the gross features of the binding energy versus neutron number curves of all the elements from Li to Bi

  3. Nuclear binding energy using semi empirical mass formula

    Science.gov (United States)

    Ankita, Suthar, B.

    2016-05-01

    In the present communication, semi empirical mass formula using the liquid drop model has been presented. Nuclear binding energies are calculated using semi empirical mass formula with various constants given by different researchers. We also compare these calculated values with experimental data and comparative study for finding suitable constants is added using the error plot. The study is extended to find the more suitable constant to reduce the error.

  4. Extended Griess algebras and Matsuo-Norton trace formulae

    OpenAIRE

    Yamauchi, Hiroshi

    2012-01-01

    We introduce the Z_2-extended Griess algebra of a vertex operator superalgebra with an involution and derive the Matsuo-Norton trace formulae for the extended Griess algebra based on conformal design structure. We illustrate an application of our formulae by reformulating the one-to-one correspondence between 2A-elements of the Baby-monster simple group and N=1 c=7/10 Virasoro subalgebras inside the Baby-monster vertex operator superalgebra.

  5. NEW WAVE-DEPENDENT FORMULAE FOR SEA SPRAY FLUX AT AIR-SEA INTERFACE

    Institute of Scientific and Technical Information of China (English)

    SHI Jian; ZHAO Dong-liang; LI Xun-qiang; ZHONG Zhong

    2009-01-01

    calculated by two kinds of formulae in different wave states show that previous wave-independent spray flux formulae are the special cases of the presented new wave dependent formulae for sea spray flux.

  6. ON CAUCHY-POMPEIU FORMULA FOR FUNCTIONS WITH VALUES IN A UNIVERSAL CLIFFORD ALGEBRA

    Institute of Scientific and Technical Information of China (English)

    2003-01-01

    This paper obtains the Cauchy-Pompeiu formula on certain distinguishedboundary for functions with values in a universal Clifford algebra. This formula is just anextension of the Cauchy's integral formula obtained in [11].

  7. 78 FR 3411 - Agency Information Collection Activities; Comment Request; Formula Grant for the Electronic...

    Science.gov (United States)

    2013-01-16

    ... Agency Information Collection Activities; Comment Request; Formula Grant for the Electronic Application... of Collection: Formula Grant for the Electronic Application System for Indian Education (EASIE). OMB... the Department of Education (ED) requests clearance for the Indian Education Formula Grant...

  8. Comparison of Two Formula of 99mTc--ECD Radiopharmaceutical and Their Characteristics

    International Nuclear Information System (INIS)

    Two alternative formula of 99mTc--ECD radiopharmaceuticals had been done, they are formula I and formula II. Both formula consisted of two dried kits, where the first dried kit contained the exchange ligand and the second kit contained the primary ligand,1,1-ethyl cystein ate dimer (ECD). There was the different of the exchange ligand between formula I and formula II, where the formula I used Ca-glucoheptonate and the formula II used Na-EDTA (Na-ethylene diamine tetra acetic acid). In this paper, both formula were compared included the formula composition, the radiochemical purity, the stability, their characteristics and the biodistribution in experimental animals white rats wistar. The capability of Na-EDTA as exchange ligand was stronger than Ca-glucoheptonate. Although the stability of 99mTc--ECD from both formula were similar (4 hours at room temperature), but the stability of the dried kit formula II (6 months) was better than the formula I (only 6 weeks). The biodistribution of both formula in experimental white rats wistar shows the similar results, but the brain-blood accumulation ratio of formula II was higher than formula I. The other differences of their characteristics were the lipophilicity and the plasma protein binding, where the log P and plasma protein binding respectively of formula I and formula II were 1,4 and 57,42 plus minus 1,5 %; 1,05 and 27,62 plus minus 1,5%

  9. Assessment on Dietary Melamine Exposure from Tainted Infant Formula

    Institute of Scientific and Technical Information of China (English)

    XU-DONG JIA; NING LI; ZHU-TIAN WANG; YUN-FENG ZHAO; YONG-NING WU; WEI-XING YAN

    2009-01-01

    Objective To estimate the dietary melamine exposure in Chinese infants and young children from the consumption of melamine adulterated Sanlu infant formula. Methods Four age groups of infants and young children (3, 6, 12, and 24 months) were chosen as the assessed subjects and the maximum amount of infant formula consumption was estimated based on the recommended usage level in the package insert of Sanlu infant formula and other brands. Melamine was analyzed in 111 Sanlu infant formula samples collected from the markets in Beijing and Gansu province using the LC-MS-MS with a limit of quantification of 0.05 mg/kg. Four levels of melamine concentration were chosen to estimate the dietary intakes, including the mean, median, 90th percentile, and maximum. Results The infants of 3 months had the highest intake of melamine, and with the increase of the age (month), the intake decreased. Based on the median melamine concentration (1 000 mg/kg) as an example, the melamine intakes for the infants of 3, 6, 12, and 24 months were 23.4, 21.4, 15.0, and 8.6 mg/kg bw/d, respectively. Conclusion Dietary melamine intakes from tainted Sanlu infant formula significantly exceeded the TDI level (0.2 mg/kg bw/d) recommended by the WHO Expert Meeting in 2008. However, the present assessment has some limitations including the poor representative samples, the varied melamine concentrations in the adulterated Sanlu infant formula, and other brand infant formula possibly consumed by these infants.

  10. Analysis of the mass formula dependence of spallation product distribution

    International Nuclear Information System (INIS)

    A new version of a spallation reaction simulation code NUCLEUS has been developed by incorporating the newly revised Uno and Yamada's mass formula. The mass formula dependence of the spallation product distribution has been investigated by comparing the new results with those calculated by the original version which uses the combination of the Cameron's mass formula and the mass table compiled by Wapstra et al. Detailed differences between these two mass formulas are shown in the comparisons of mass excess values. The distributions of spallation products of a uranium target nucleus bombarded by high energy (0.38 - 2.9 GeV) protons have been calculated with the new and original versions of NUCLEUS. The calculated results show that there is no significant discrepancy in the non-fission component of cumulative product yields such as the mass distribution and the number of emitted neutrons but in the fission component Uno and Yamada's mass formula reproduces the measured data obtained from thin foil experiments significantly better, especially in the neutron excess side, than the Cameron's one. (author)

  11. Orbital magnetism of Bloch electrons I. General formula

    International Nuclear Information System (INIS)

    We derive an exact formula of orbital susceptibility expressed in terms of Bloch wave functions, starting from the exact one-line formula by Fukuyama in terms of Green's functions. The obtained formula contains four contributions: (1) Landau-Peierls susceptibility, (2) interband contribution, (3) Fermi surface contribution, and (4) contribution from occupied states. Except for the Landau-Peierls susceptibility, the other three contributions involve the crystal-momentum derivatives of Bloch wave functions. Physical meaning of each term is clarified. The present formula is simplified compared with those obtained previously by Hebborn et al. Based on the formula, it is seen first of all that diamagnetism from core electrons and Van Vleck susceptibility are the only contributions in the atomic limit. The band effects are then studied in terms of linear combination of atomic orbital treating overlap integrals between atomic orbitals as a perturbation and the itinerant feature of Bloch electrons in solids are clarified systematically for the first time. (author)

  12. Phenomenological formula for alpha-decay half-lives

    International Nuclear Information System (INIS)

    A phenomenological formula is presented for the partial half-life from the Q value for α decay. It is constructed in a conventional way by considering the penetrability of a charged particle in a spherical Coulomb potential. Parameters in the formula are fixed because they are determined by physical constants except for the following three adjustable parameters: the product of the collision frequency of an α particle and the formation probability, N; the distance between the charge radius and the radius of an inner point of the Coulomb barrier, r 0; and the odd-mass hindrance, h 0. The values obtained for the three adjustable parameters are reasonable, in contrast with those of conventional models such as the Viola-Seaborg formula. The root-mean-square deviations from experimental partial half-lives for even-even, odd-A, and odd-odd nuclei are 0.344, 0.740, and 0.940 (in log10), respectively. The obtained formula gives half-lives that are two or three times longer than those obtained using the Viola-Seaborg formula in the superheavy nuclear mass region. (author)

  13. Uniform asymptotic formula for the Aharonov Bohm wavefield

    Science.gov (United States)

    Hannay, J. H.

    2016-06-01

    A uniform asymptotic formula for the Aharonov–Bohm wavefield (that of a plane quantum wave scattered by a thin straight solenoid) far away from the solenoid is obtained in a direct way. Actually quite good accuracy is achieved even down to one wavelength away. The error is numerically of order radius^(‑3/2) for all values of polar angle, including directly forwards. Several previous formulas, uniform and otherwise, for the far field limit exist in the literature. All contain the essential ingredient: the Fresnel integral (complex error function), but ordinarily the error in these formulas is of order radius^(‑1/2) in the forwards direction where the Fresnel contribution is most important.

  14. A rigorous proof for the Landauer-Büttiker formula

    DEFF Research Database (Denmark)

    Cornean, Horia Decebal; Jensen, Arne; Moldoveanu, V.

    Recently, Avron et al. shed new light on the question of quantum transport in mesoscopic samples coupled to particle reservoirs by semi-infinite leads. They rigorously treat the case when the sample undergoes an adiabatic evolution thus generating a current through th leads, and prove the so called...... BPT formula. Using a discrete model, we complement their work by giving a rigorous proof of the Landauer-Büttiker formula, which deals with the current generated by an adiabatic evolution on the leads. As it is well known in physics, these formulae link the conductance coefficients for such systems to...... the -matrix of the associated scattering problem. S As an application, we discuss the resonant transport through a quantum dot. The single charge tunneling processes are mediated by extended edge states simultaneously localized near several leads....

  15. A rigorous proof of the Landauer-Buttiker formula

    DEFF Research Database (Denmark)

    Cornean, Horia Decebal; Jensen, Arne; Moldoveanu, Valeriu

    2005-01-01

    Recently, Avron et al. in a series of papers shed new light on the question of quantum transport in mesoscopic samples coupled to particle reservoirs by semi-infinite leads. They rigorously treat the case, when the sample undergoes an adiabatic evolution thus generating a current through the leads......, and prove the so-called BPT formula. Using a discrete model, we complement their work by giving a rigorous proof of the Landauer-Büttiker formula, which deals with the current generated by an adiabatic evolution on the leads. As is well know from physics, both of these formulas link the conductance...... coefficients for such systems to the S-matrix of the associated scattering problem. As an application, we discuss resonant transport through a quantum dot. The single charge tunneling processes are mediated by extended edge states, simultaneously localized near several leads....

  16. Dr. Euler's fabulous formula Cures many mathematical ills

    CERN Document Server

    Nahin, Paul J

    2006-01-01

    I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals e[pi] i+1--Paul Nahin, electrical engineer In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the seque

  17. A Weizsacker-Bethe type mass formula for hypernuclei

    International Nuclear Information System (INIS)

    Theoretical estimates of hypernuclear binding energies are generally much larger than the empirical value and the disagreement is rather marked for the binding energy of sub(Λ)5He. Here we try to explain the so-called over-binding problem by way of introducing a Weizsacker-Bethe type mass formula used for ordinary nuclei. Using the most recent data on binding energies of hypernuclei, parameters of the hypernuclear mass formula are estimated by fitting a least-square curve as is the usual practice in nuclear physics. Theoretical predictions for hypernuclear binding energies are then made by using the formula as obtained above and results compared with experimental values. Agreement with experiment is found to be rather good and in particular the result obtained for sub(Λ)5He, although slightly larger than the observed value, has shown significant improvement over earlier estimates. (author)

  18. Some reference formulas for the generating functions of canonical transformations

    Science.gov (United States)

    Anselmi, Damiano

    2016-02-01

    We study some properties of the canonical transformations in classical mechanics and quantum field theory and give a number of practical formulas concerning their generating functions. First, we give a diagrammatic formula for the perturbative expansion of the composition law around the identity map. Then we propose a standard way to express the generating function of a canonical transformation by means of a certain "componential" map, which obeys the Baker-Campbell-Hausdorff formula. We derive the diagrammatic interpretation of the componential map, work out its relation with the solution of the Hamilton-Jacobi equation and derive its time-ordered version. Finally, we generalize the results to the Batalin-Vilkovisky formalism, where the conjugate variables may have both bosonic and fermionic statistics, and describe applications to quantum field theory.

  19. Some reference formulas for the generating functions of canonical transformations

    CERN Document Server

    Anselmi, Damiano

    2015-01-01

    We study some properties of the canonical transformations in classical mechanics and quantum field theory and give a number of practical formulas concerning their generating functions. First, we give a diagrammatic formula for the perturbative expansion of the composition law around the identity map. Then, we propose a standard way to express the generating function of a canonical transformation by means of a certain "componential" map, which obeys the Baker-Campbell-Hausdorff formula. We derive the diagrammatic interpretation of the componential map, work out its relation with the solution of the Hamilton-Jacobi equation and derive its time-ordered version. Finally, we generalize the results to the Batalin-Vilkovisky formalism, where the conjugate variables may have both bosonic and fermionic statistics, and describe applications to quantum field theory.

  20. Some reference formulas for the generating functions of canonical transformations

    Energy Technology Data Exchange (ETDEWEB)

    Anselmi, Damiano [Universita di Pisa, Dipartimento di Fisica ' ' Enrico Fermi' ' , Pisa (Italy); INFN, Sezione di Pisa, Pisa (Italy)

    2016-02-15

    We study some properties of the canonical transformations in classical mechanics and quantum field theory and give a number of practical formulas concerning their generating functions. First, we give a diagrammatic formula for the perturbative expansion of the composition law around the identity map. Then we propose a standard way to express the generating function of a canonical transformation by means of a certain ''componential'' map, which obeys the Baker-Campbell-Hausdorff formula. We derive the diagrammatic interpretation of the componential map, work out its relation with the solution of the Hamilton-Jacobi equation and derive its time-ordered version. Finally, we generalize the results to the Batalin-Vilkovisky formalism, where the conjugate variables may have both bosonic and fermionic statistics, and describe applications to quantum field theory. (orig.)