WorldWideScience

Sample records for airy functions

  1. Quantum anharmonic oscillator: The airy function approach

    Energy Technology Data Exchange (ETDEWEB)

    Maiz, F., E-mail: fethimaiz@gmail.com [King Khalid University, Faculty of Science, Physics Department, PO Box 9004, Abha 61413, Asseer (Saudi Arabia); University of Cartage, Nabeul Engineering Preparatory Institute, Merazka, 8000 Nabeul (Tunisia); AlFaify, S. [King Khalid University, Faculty of Science, Physics Department, PO Box 9004, Abha 61413, Asseer (Saudi Arabia)

    2014-05-15

    New and simple numerical method is being reported to solve anharmonic oscillator problems. The method is setup to approach the real potential V(x) of the anharmonic oscillator system as a piecewise linear potential u(x) and to solve the Schrödinger equation of the system using the Airy function. Then, solutions continuity conditions lead to the energy quantification condition, and consequently, the energy eigenvalues. For testing purpose, the method was applied on the sextic and octic oscillators systems. The proposed method is found to be realistic, computationally simple, and having high degrees of accuracy. In addition, it can be applied to any form of potential. The results obtained by the proposed method were seen closely agreeing with results reached by other complicated methods.

  2. Asymptotics of the information entropy of the Airy function

    Energy Technology Data Exchange (ETDEWEB)

    Sanchez-Moreno, P [Departamento de Fisica Moderna, Universidad de Granada, Granada (Spain); Instituto ' Carlos I' de Fisica Teorica y Computacional, Universidad de Granada, Granada (Spain); Yanez, R J [Instituto ' Carlos I' de Fisica Teorica y Computacional, Universidad de Granada, Granada (Spain); Departamento de Matematica Aplicada, Universidad de Granada, Granada (Spain); Buyarov, V [Moscow State University (Russian Federation)

    2005-11-18

    The Boltzmann-Shannon information entropy of linear potential wavefunctions is known to be controlled by the information entropy of the Airy function Ai(x). Here, the entropy asymptotics is analysed so that the first two leading terms (previously calculated in the WKB approximation) as well as the following term (already conjectured) are derived by using only the specific properties of the Airy function.

  3. On the asymptotic evolution of finite energy Airy wave functions.

    Science.gov (United States)

    Chamorro-Posada, P; Sánchez-Curto, J; Aceves, A B; McDonald, G S

    2015-06-15

    In general, there is an inverse relation between the degree of localization of a wave function of a certain class and its transform representation dictated by the scaling property of the Fourier transform. We report that in the case of finite energy Airy wave packets a simultaneous increase in their localization in the direct and transform domains can be obtained as the apodization parameter is varied. One consequence of this is that the far-field diffraction rate of a finite energy Airy beam decreases as the beam localization at the launch plane increases. We analyze the asymptotic properties of finite energy Airy wave functions using the stationary phase method. We obtain one dominant contribution to the long-term evolution that admits a Gaussian-like approximation, which displays the expected reduction of its broadening rate as the input localization is increased.

  4. Tables of generalized Airy functions for the asymptotic solution of the differential equation

    CERN Document Server

    Nosova, L N

    1965-01-01

    Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations contains tables of the special functions, namely, the generalized Airy functions, and their first derivatives, for real and pure imaginary values. The tables are useful for calculations on toroidal shells, laminae, rode, and for the solution of certain other problems of mathematical physics. The values of the functions were computed on the ""Strela"" highspeed electronic computer.This book will be of great value to mathematicians, researchers, and students.

  5. Constraints on Airy function zeros from quantum-mechanical sum rules

    CERN Document Server

    Belloni, M

    2010-01-01

    We derive new constraints on the zeros of Airy functions by using the so-called quantum bouncer system to evaluate quantum-mechanical sum rules and perform perturbation theory calculations for the Stark effect. Using commutation and completeness relations, we show how to systematically evaluate sums of the form $S_{p}(n) = \\sum_{k \

  6. Dual accelerating Airy-Talbot recurrence effect

    CERN Document Server

    Zhang, Yiqi; Belić, Milivoj R; Liu, Xing; Zhong, Weiping; Zhang, Yanpeng; Xiao, Min

    2015-01-01

    We demonstrate the dual accelerating Airy-Talbot recurrence effect, i.e., the self-imaging of accelerating optical beams, by propagating a superposition of Airy beams with successively changing transverse displacements. The dual Airy-Talbot effect is a spontaneous recurring imaging of the input and of the input with alternating component signs. It results from the constructive interference of Airy wave functions, which is also responsible for other kinds of Airy beams, for example, Airy breathers. An input composed of finite-energy Airy beams also displays the dual Airy-Talbot effect, but it demands a large transverse displacement and diminishes fast along the propagation direction.

  7. The time-dependent Schroedinger equation, Riccati equation and Airy functions

    CERN Document Server

    Lanfear, Nathan

    2009-01-01

    We construct the Green functions (or Feynman's propagators) for the Schr\\"odinger equations of the form $i\\psi_{t}+{1/4}\\psi_{xx}\\pm tx^{2}\\psi =0$ in terms of Airy functions and solve the Cauchy initial value problem in the coordinate and momentum representations. Particular solutions of the corresponding nonlinear Schr\\"odinger equations with variable coefficients are also found.

  8. Constraints on Airy function zeros from quantum-mechanical sum rules

    Science.gov (United States)

    Belloni, M.; Robinett, R. W.

    2009-02-01

    We derive new constraints on the zeros of Airy functions by using the so-called quantum bouncer system to evaluate quantum-mechanical sum rules and perform perturbation theory calculations for the Stark effect. Using commutation and completeness relations, we show how to systematically evaluate sums of the form Sp(n) = ∑k≠n1/(ζk - ζn)p, for natural p > 1, where -ζn is the nth zero of Ai(ζ).

  9. Constraints on Airy function zeros from quantum-mechanical sum rules

    Energy Technology Data Exchange (ETDEWEB)

    Belloni, M [Physics Department, Davidson College, Davidson, NC 28035 (United States); Robinett, R W [Department of Physics, Pennsylvania State University, University Park, PA 16802 (United States)], E-mail: mabelloni@davidson.edu, E-mail: rick@phys.psu.edu

    2009-02-20

    We derive new constraints on the zeros of Airy functions by using the so-called quantum bouncer system to evaluate quantum-mechanical sum rules and perform perturbation theory calculations for the Stark effect. Using commutation and completeness relations, we show how to systematically evaluate sums of the form S{sub p}(n) = {sigma}{sub k{ne}}{sub n}1/({zeta}{sub k} - {zeta}{sub n}){sup p}, for natural p > 1, where -{zeta}{sub n} is the nth zero of Ai({zeta})

  10. Airy Equation for the Topological String Partition Function in a Scaling Limit

    Science.gov (United States)

    Alim, Murad; Yau, Shing-Tung; Zhou, Jie

    2016-06-01

    We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies in a scaling limit to all orders in perturbation theory for any Calabi-Yau threefold. The partition function in this limit satisfies an Airy differential equation in a rescaled topological string coupling. One of the two solutions of this equation gives the perturbative expansion and the other solution provides geometric hints of the non-perturbative structure of topological string theory. Both solutions can be expanded naturally around strong coupling.

  11. The generalized Airy diffusion equation

    Directory of Open Access Journals (Sweden)

    Frank M. Cholewinski

    2003-08-01

    Full Text Available Solutions of a generalized Airy diffusion equation and an associated nonlinear partial differential equation are obtained. Trigonometric type functions are derived for a third order generalized radial Euler type operator. An associated complex variable theory and generalized Cauchy-Euler equations are obtained. Further, it is shown that the Airy expansions can be mapped onto the Bessel Calculus of Bochner, Cholewinski and Haimo.

  12. Airy function approach and Numerov method to study the anharmonic oscillator potentials V(x = Ax2α + Bx2

    Directory of Open Access Journals (Sweden)

    N. Al Sdran

    2016-06-01

    Full Text Available The numerical solutions of the time independent Schrödinger equation of different one-dimensional potentials forms are sometime achieved by the asymptotic iteration method. Its importance appears, for example, on its efficiency to describe vibrational system in quantum mechanics. In this paper, the Airy function approach and the Numerov method have been used and presented to study the oscillator anharmonic potential V(x = Ax2α + Bx2, (A>0, B<0, with (α = 2 for quadratic, (α =3 for sextic and (α =4 for octic anharmonic oscillators. The Airy function approach is based on the replacement of the real potential V(x by a piecewise-linear potential v(x, while, the Numerov method is based on the discretization of the wave function on the x-axis. The first energies levels have been calculated and the wave functions for the sextic system have been evaluated. These specific values are unlimited by the magnitude of A, B and α. It’s found that the obtained results are in good agreement with the previous results obtained by the asymptotic iteration method for α =3.

  13. Generation of electron Airy beams.

    Science.gov (United States)

    Voloch-Bloch, Noa; Lereah, Yossi; Lilach, Yigal; Gover, Avraham; Arie, Ady

    2013-02-21

    Within the framework of quantum mechanics, a unique particle wave packet exists in the form of the Airy function. Its counterintuitive properties are revealed as it propagates in time or space: the quantum probability wave packet preserves its shape despite dispersion or diffraction and propagates along a parabolic caustic trajectory, even though no force is applied. This does not contradict Newton's laws of motion, because the wave packet centroid propagates along a straight line. Nearly 30 years later, this wave packet, known as an accelerating Airy beam, was realized in the optical domain; later it was generalized to an orthogonal and complete family of beams that propagate along parabolic trajectories, as well as to beams that propagate along arbitrary convex trajectories. Here we report the experimental generation and observation of the Airy beams of free electrons. These electron Airy beams were generated by diffraction of electrons through a nanoscale hologram, which imprinted on the electrons' wavefunction a cubic phase modulation in the transverse plane. The highest-intensity lobes of the generated beams indeed followed parabolic trajectories. We directly observed a non-spreading electron wavefunction that self-heals, restoring its original shape after passing an obstacle. This holographic generation of electron Airy beams opens up new avenues for steering electronic wave packets like their photonic counterparts, because the wave packets can be imprinted with arbitrary shapes or trajectories.

  14. Airy function approach and Numerov method to study the anharmonic oscillator potentials V(x) = Ax2α + Bx2

    Science.gov (United States)

    Al Sdran, N.; Maiz, F.

    2016-06-01

    The numerical solutions of the time independent Schrödinger equation of different one-dimensional potentials forms are sometime achieved by the asymptotic iteration method. Its importance appears, for example, on its efficiency to describe vibrational system in quantum mechanics. In this paper, the Airy function approach and the Numerov method have been used and presented to study the oscillator anharmonic potential V(x) = Ax2α + Bx2, (A>0, Bdiscretization of the wave function on the x-axis. The first energies levels have been calculated and the wave functions for the sextic system have been evaluated. These specific values are unlimited by the magnitude of A, B and α. It's found that the obtained results are in good agreement with the previous results obtained by the asymptotic iteration method for α =3.

  15. Theory of resonant tunneling in a variably spaced multiquantum well structure - An Airy function approach

    Science.gov (United States)

    Brennan, K. F.; Summers, C. J.

    1987-01-01

    A theoretical study of resonant tunneling in multilayered heterostructures is presented based on an exact solution of the Schroedinger equation under the application of a constant electric field. By use of the transfer matrix approach, the transmissivity of the structure is determined as a function of the incident electron energy. The approach presented herein is easily extended to many layer structures where it is more accurate than other existing transfer matrix or Wentzel-Kramers-Brillouin (WKB) models. The transmission resonances are compared to the bound-state energies calculated for a finite square well under bias using either an asymmetric square-well model or the exact solution of an infinite square well under the application of an electric field. The results show good agreement with other existing models as well as with the bound-state energies. The calculations were then applied to a new superlattice structure, the variably spaced superlattice energy filter, which is designed such that under bias the spatial quantization levels fully align. Based on these calculations, a new class of resonant tunneling superlattice devices can be designed.

  16. Airy structure in $^{16}$O+$^{14}$C nuclear rainbow scattering

    CERN Document Server

    Ohkubo, S

    2015-01-01

    The Airy structure in $^{16}$O+$^{14}$C rainbow scattering is studied with an extended double folding (EDF) model that describes all the diagonal and off-diagonal coupling potentials derived from the microscopic realistic wave functions for $^{16}$O using a density-dependent nucleon-nucleon force. The experimental angular distributions at $E_L$=132, 281 and 382.2 MeV are well reproduced by the calculations. By studying the energy evolution of the Airy structure, the Airy minimum at around $\\theta$=76$^\\circ$ in the angular distribution at $E_L$=132 MeV is assigned as the second order Airy minimum $A2$ in contrast to the recent literature which assigns it as the third order $A3$. The Airy minima in the 90$^\\circ$ excitation function is investigated in comparison with well-known $^{16}$O+$^{16}$O and $^{12}$C+$^{12}$C systems. Evolution of the Airy structure into the molecular resonances with the $^{16}$O+$^{14}$C cluster structure in the low energy region around $E_{c.m.}$=30 MeV is discussed. It is predicted ...

  17. Bohmian trajectories of Airy packets

    Energy Technology Data Exchange (ETDEWEB)

    Nassar, Antonio B., E-mail: anassar@hw.com [Science Department, Harvard-Westlake School, 3700 Coldwater Canyon, Studio City, 91604 (United States); Department of Sciences, University of California, Los Angeles, Extension Program, 10995 Le Conte Avenue, Los Angeles, CA 90024 (United States); Miret-Artés, Salvador [Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid (Spain)

    2014-09-15

    The discovery of Berry and Balazs in 1979 that the free-particle Schrödinger equation allows a non-dispersive and accelerating Airy-packet solution has taken the folklore of quantum mechanics by surprise. Over the years, this intriguing class of wave packets has sparked enormous theoretical and experimental activities in related areas of optics and atom physics. Within the Bohmian mechanics framework, we present new features of Airy wave packet solutions to Schrödinger equation with time-dependent quadratic potentials. In particular, we provide some insights to the problem by calculating the corresponding Bohmian trajectories. It is shown that by using general space–time transformations, these trajectories can display a unique variety of cases depending upon the initial position of the individual particle in the Airy wave packet. Further, we report here a myriad of nontrivial Bohmian trajectories associated to the Airy wave packet. These new features are worth introducing to the subject’s theoretical folklore in light of the fact that the evolution of a quantum mechanical Airy wave packet governed by the Schrödinger equation is analogous to the propagation of a finite energy Airy beam satisfying the paraxial equation. Numerous experimental configurations of optics and atom physics have shown that the dynamics of Airy beams depends significantly on initial parameters and configurations of the experimental set-up.

  18. Estonian Airi uued soodsad pakkumised

    Index Scriptorium Estoniae

    2010-01-01

    Estonian Airi kodulehelt on võimalik osta lennupileteid koostööpartnerite poolt pakutavatele mandritevahelistele lendudele ning broneerida internetis hotellituba Euroopa suurima hotelli broneerimise teenust pakkuva ettevõtte Booking.com kaudu

  19. Airy beam optical parametric oscillator.

    Science.gov (United States)

    Aadhi, A; Chaitanya, N Apurv; Jabir, M V; Vaity, Pravin; Singh, R P; Samanta, G K

    2016-05-04

    Airy beam, a non-diffracting waveform, has peculiar properties of self-healing and self-acceleration. Due to such unique properties, the Airy beam finds many applications including curved plasma wave-guiding, micro-particle manipulation, optically mediated particle clearing, long distance communication, and nonlinear frequency conversion. However, many of these applications including laser machining of curved structures, generation of curved plasma channels, guiding of electric discharges in a curved path, study of nonlinear propagation dynamics, and nonlinear interaction demand Airy beam with high power, energy, and wavelength tunability. Till date, none of the Airy beam sources have all these features in a single device. Here, we report a new class of coherent sources based on cubic phase modulation of a singly-resonant optical parametric oscillator (OPO), producing high-power, continuous-wave (cw), tunable radiation in 2-D Airy intensity profile existing over a length >2 m. Based on a MgO-doped periodically poled LiNbO3 crystal pumped at 1064 nm, the Airy beam OPO produces output power more than 8 W, and wavelength tunability across 1.51-1.97 μm. This demonstration gives new direction for the development of sources of arbitrary structured beams at any wavelength, power, and energy in all time scales (cw to femtosecond).

  20. Self accelerating electron Airy beams

    CERN Document Server

    Voloch-Bloch, Noa; Lilach, Yigal; Gover, Avraham; Arie, Ady

    2013-01-01

    We report the first experimental generation and observation of Airy beams of free electrons. The electron Airy beams are generated by diffraction of electrons through a nanoscale hologram, that imprints a cubic phase modulation on the beams' transverse plane. We observed the spatial evolution dynamics of an arc-shaped, self accelerating and shape preserving electron Airy beams. We directly observed the ability of electrons to self-heal, restoring their original shape after passing an obstacle. This electromagnetic method opens up new avenues for steering electrons, like their photonic counterparts, since their wave packets can be imprinted with arbitrary shapes or trajectories. Furthermore, these beams can be easily manipulated using magnetic or electric potentials. It is also possible to efficiently self mix narrow beams having opposite signs of acceleration, hence obtaining a new type of electron interferometer.

  1. Airy plasmons in graphene based waveguides

    CERN Document Server

    Li, Rujiang; Lin, Xiao; Chen, Hongsheng

    2016-01-01

    In this paper, we propose that both the quasi-transverse-magnetic (TM) and quasi-transverseelectric (TE) Airy plasmons can be supported in graphene-based waveguides. The solution of Airy plasmons is calculated analytically and the existence of Airy plasmons is studied under the paraxial approximation. Due to the tunability of the chemical potential of graphene, the self-accelerating behavior of quasi-TM Airy plasmons can be steered effectively, especially in multilayer graphene based waveguides. Besides the metals, graphene provides an additional platform to investigate the propagation of Airy plasmons and to design various plasmonic devices.

  2. Hybrid Airy Plasmons with Dynamically Steerable Trajectories

    CERN Document Server

    Li, Rujiang; Lin, Xiao; Wang, Huaping; Xu, Zhiwei; Chen, Hongsheng

    2016-01-01

    With the intriguing properties of diffraction-free, self-accelerating, and self-healing, Airy plasmons are promising to be used in the trapping, transporting, and sorting of micro-objects, imaging, and chip scale signal processing. However, the high dissipative loss and the lack of dynamical steerability restrict the implementation of Airy plasmons in these applications. Here we reveal the hybrid Airy plasmons for the first time by taking a hybrid graphene-based plasmonic waveguide in the terahertz (THz) domain as an example. Due to the coupling between an optical mode and a plasmonic mode, the hybrid Airy plasmons can have large propagation lengths and effective transverse deflections, where the transverse waveguide confinements are governed by the hybrid modes with moderate quality factors. Meanwhile, the propagation trajectories of hybrid Airy plasmons are dynamically steerable by changing the chemical potential of graphene. These hybrid Airy plasmons may promote the further discovery of non-diffracting be...

  3. Hybrid Airy plasmons with dynamically steerable trajectories.

    Science.gov (United States)

    Li, Rujiang; Imran, Muhammad; Lin, Xiao; Wang, Huaping; Xu, Zhiwei; Chen, Hongsheng

    2017-01-26

    With their intriguing diffraction-free, self-accelerating, and self-healing properties, Airy plasmons show promise for use in the trapping, transporting, and sorting of micro-objects, imaging, and chip scale signal processing. However, high dissipative loss and lack of dynamical steerability restrict the implementation of Airy plasmons in these applications. Here we reveal hybrid Airy plasmons for the first time by taking a hybrid graphene-based plasmonic waveguide in the terahertz (THz) domain as an example. Due to coupling between optical modes and plasmonic modes, the hybrid Airy plasmons can have large propagation lengths and effective transverse deflections, where the transverse waveguide confinements are governed by the hybrid modes with moderate quality factors. Meanwhile, the propagation trajectories of the hybrid Airy plasmons are dynamically steerable by changing the chemical potential of graphene. These hybrid Airy plasmons may promote the further discovery of non-diffracting beams along with the emerging developments of optical tweezers and tractor beams.

  4. Hybrid Airy Plasmons with Dynamically Steerable Trajectories

    OpenAIRE

    Li, Rujiang; Imran, Muhammad; Lin, Xiao; Wang, Huaping; Xu, Zhiwei; Chen, Hongsheng

    2016-01-01

    With the intriguing properties of diffraction-free, self-accelerating, and self-healing, Airy plasmons are promising to be used in the trapping, transporting, and sorting of micro-objects, imaging, and chip scale signal processing. However, the high dissipative loss and the lack of dynamical steerability restrict the implementation of Airy plasmons in these applications. Here we reveal the hybrid Airy plasmons for the first time by taking a hybrid graphene-based plasmonic waveguide in the ter...

  5. Space-variant polarized Airy beam

    CERN Document Server

    Chen, Hao

    2015-01-01

    We experimentally generate an Airy beam with polarization structure while keeping its original amplitude and phase profile intact. This class of Airy beam preserves the acceleration properties. By monitoring their initial polarization structure we have provided insight concerning the self-healing mechanism of Airy beams. We investigate both theoretically and experimentally the self-healing polarization properties of the space-variant polarized Airy beams. Amplitude as well as the polarization structure tends to reform during propagation in spite of the severe truncation of the beam by finite apertures.

  6. Airy beams from a microchip laser

    CERN Document Server

    Longhi, Stefano

    2011-01-01

    It is theoretically shown that an end-pumped microchip laser formed by a thin laser crystal with plane-plane but slightly tilted facets can emit, under appropriate pumping conditions and near a crystal edge, a truncated self-accelerating Airy output beam.

  7. The Gouy phase of Airy beams

    NARCIS (Netherlands)

    Pang, X.; Gbur, G.; Visser, T.D.

    2011-01-01

    The phase behavior of Airy beams is studied, and their Gouy phase is defined. Analytic expressions for the idealized, infinite-energy type beam are derived. They are shown to be excellent approximations for finite-energy beams generated under typical experimental conditions.

  8. Airy acoustical-sheet spinner tweezers

    Science.gov (United States)

    Mitri, F. G.

    2016-09-01

    The Airy acoustical beam exhibits parabolic propagation and spatial acceleration, meaning that the propagation bending angle continuously increases before the beam trajectory reaches a critical angle where it decays after a propagation distance, without applying any external bending force. As such, it is of particular importance to investigate its properties from the standpoint of acoustical radiation force, spin torque, and particle dynamics theories, in the development of novel particle sorting techniques and acoustically mediated clearing systems. This work investigates these effects on a two-dimensional (2D) circular absorptive structure placed in the field of a nonparaxial Airy "acoustical-sheet" (i.e., finite beam in 2D), for potential applications in surface acoustic waves and acousto-fluidics. Based on the characteristics of the acoustic field, the beam is capable of manipulating the circular cylindrical fluid cross-section and guides it along a transverse or parabolic trajectory. This feature of Airy acoustical beams could lead to a unique characteristic in single-beam acoustical tweezers related to acoustical sieving, filtering, and removal of particles and cells from a section of a small channel. The analysis developed here is based on the description of the nonparaxial Airy beam using the angular spectrum decomposition of plane waves in close association with the partial-wave series expansion method in cylindrical coordinates. The numerical results demonstrate the ability of the nonparaxial Airy acoustical-sheet beam to pull, propel, or accelerate a particle along a parabolic trajectory, in addition to particle confinement in the transverse direction of wave propagation. Negative or positive radiation force and spin torque causing rotation in the clockwise or the anticlockwise direction can occur depending on the nondimensional parameter ka (where k is the wavenumber and a is the radius) and the location of the cylinder in the beam. Applications in

  9. Airy beam self-focusing in a photorefractive medium

    Science.gov (United States)

    Wiersma, Noémi; Marsal, Nicolas; Sciamanna, Marc; Wolfersberger, Delphine

    2016-10-01

    The unique bending and shape-preserving properties of optical Airy beams offer a large range of applications in for example beam routing, optical waveguiding, particle manipulation and plasmonics. In these applications and others, the Airy beam may experience nonlinear light-matter interactions which in turn modify the Airy beam properties and propagation. A well-known example is light self-focusing that leads to the formation of spatial soliton. Here, we unveil experimentally the self-focusing properties of a 1D-Airy beam in a photorefractive crystal under focusing conditions. The transient evolution involves both self-bending and acceleration of the initially launched Airy beam due to the onset of an off-shooting soliton and the resulting nonlocal refractive index perturbation. Both the transient and stationary self-focusing properties can be tuned by varying the bias electric field, the injected Airy beam power and the background illumination.

  10. Generalisasi Fungsi Airy sebagai Solusi Analitik Persamaan Schrodinger Nonlinier

    Directory of Open Access Journals (Sweden)

    Lukman Hakim

    2012-05-01

    Full Text Available Persamaan Schrodinger adalah persamaan diferensial parsial nonlinier yang menginterpretasikan pergerakan suatu partikel atau atom. Penelitian ini berupaya untuk memperoleh analisis konstruksi bentuk umum solusi ananalitik persamaan Schrodinger nonlinier dengan fungsi Airy. Fungsi Airy adalah solusi persamaan diferensial Airy, adapun langkah pertama adalah manipulasi bentuk persamaan Schrodinger nonlinier menjadi bentuk persamaan Airy dengan menerapkan transformasi Fourier. Dengan demikian didapatkan solusia nanalitik persamaan Airy dengan generalisasi fungsi Airy. Dan langkah selanjutnya adalah menerapkan invers dari transformasi Fourier yang digunakan untuk memdapatkan solusi analitik bagi persamaan Schrodinger nonlinier, dalam hal ini diberikan kondisi awal bilangan kompleks pada invers transformasi Fourier, yaitu. Adapun hasil dari penelitian ini adalah solusi bagi persamaan Schrodinger nonlinier ketika pangkat dari modulusnya di analisis dengan bentuk ganjil dan genap memberikan bentuk solusi yang sama.

  11. Generation and near-field imaging of Airy surface plasmons

    CERN Document Server

    Minovich, Alexander; Janunts, Norik; Pertsch, Thomas; Neshev, Dragomir N; Kivshar, Yuri S

    2011-01-01

    We demonstrate experimentally the generation and near-field imaging of nondiffracting surface waves - plasmonic Airy beams, propagating on the surface of a gold metal film. The Airy plasmons are excited by an engineered nanoscale phase grating, and demonstrate significant beam bending over their propagation. We show that the observed Airy plasmons exhibit self-healing properties, suggesting novel applications in plasmonic circuitry and surface optical manipulation.

  12. Kas Estonian Airi uus õhkutõus? / Toomas Peterson

    Index Scriptorium Estoniae

    Peterson, Toomas

    2010-01-01

    Autori hinnangul tuleks püstitada Estonian Airi ette reaalsed eesmärgid ning kokku leppida visioon lähiaastateks. Estonian Air vajab koostööd suurema lennunduspartneriga, riik ei tohiks Estonian Airis korrata endisi juhtimisvigu

  13. Spinning of a submicron sphere by Airy beams.

    Science.gov (United States)

    Kim, Kyoung-Youm; Kim, Saehwa

    2016-01-01

    We show that by employing two incoherent counter-propagating Airy beams, we can manipulate a submicron sphere to spin around a transverse axis. We can control not only the spinning speed, but also the direction of the spinning axis by changing the polarization directions of Airy beams.

  14. The software package AIRY 7.0: new efficient deconvolution methods for post-adaptive optics data

    Science.gov (United States)

    La Camera, Andrea; Carbillet, Marcel; Prato, Marco; Boccacci, Patrizia; Bertero, Mario

    2016-07-01

    The Software Package AIRY (acronym of Astronomical Image Restoration in interferometrY) is a complete tool for the simulation and the deconvolution of astronomical images. The data can be a post-adaptive-optics image of a single dish telescope or a set of multiple images of a Fizeau interferometer. Written in IDL and freely downloadable, AIRY is a package of the CAOS Problem-Solving Environment. It is made of different modules, each one performing a specific task, e.g. simulation, deconvolution, and analysis of the data. In this paper we present the last version of AIRY containing a new optimized method for the deconvolution problem based on the scaled-gradient projection (SGP) algorithm extended with different regularization functions. Moreover a new module based on our multi-component method is added to AIRY. Finally we provide a few example projects describing our multi-step method recently developed for deblurring of high dynamic range images. By using AIRY v.7.0, users have a powerful tool for simulating the observations and for reconstructing their real data.

  15. Curved plasma channels: Kerr lens and Airy prism

    CERN Document Server

    Kasparian, Jérôme; 10.2971/jeos.2009.09039

    2010-01-01

    We analytically calculate the transverse energy fluxes that would be respectively induced in high-power Airy beams by the Kerr self-focusing and the Airy profile itself if they were the only active process. In experimental condition representative of laser filamentation experiments of high-power ultrashort laser pulses in air and condensed media, the Kerr lens induces transverse energy fluxes much larger than the Airy "prism" at the main peak. As a consequence, the curved plasma channels in Airy beams are not only a plasma spark on a curved focus, but indeed self-guided filaments, and their curved trajectory appears as a perturbation due to the linear Airy propagation regime.

  16. Creating Airy beams employing a transmissive spatial light modulator

    CERN Document Server

    Latychevskaia, Tatiana; Fink, Hans-Werner

    2016-01-01

    We present a detailed study of two novel methods for shaping the light optical wavefront by employing a transmissive spatial light modulator (SLM). Conventionally, optical Airy beams are created by employing SLMs in the so-called all phase mode. In this mode, a cubic phase distribution is transferred onto an SLM and its Fourier transform generates an Airy beam. The Fourier transform is obtained at the back focal plane of the lens, by employing a physical lens behind the SLM. We show that such an approach fails when a transmissive SLM is used; we present an alternative method for creating Airy beams. In our method, a numerically simulated lens phase distribution is transferred directly onto the SLM, together with the cubic phase distribution. An Airy beam is obtained by the Fourier transform of the cubic phase distribution and is generated behind the SLM, at the focal plane of the numerical lens. We study the deflection properties of the so formed Airy beam and derive the formula for deflection of the intensit...

  17. Vessel extraction using the Buckmaster-Airy filter

    Science.gov (United States)

    Sanchez, Valentina

    2016-05-01

    A new and powerful technique for vessel extraction from biomedical images using the so called Buckmaster- Airy Filter is designed, prototyped and tested. The design, the prototyping and the testing were performed using computer algebra software, specifically the Maple package ImageTools. Some preliminary experiments were performed ant the results were excellent. Our new technique is based on partial differential equations.. Specifically two dimensional Airy diffusion equation and the two dimensional Buckmaster equation were used for designing the new Buckmaster-Airy Filter. Such new filter is able to enhance the quality of an image, producing simultaneously noise elimination, but without altering the edges of the image. The new Bukmaster-Airy filter is applied to the target image via discrete convolution. The results of some experiments of vessel extraction will be presented; and some lines for future research such as the possible implementation of the Buckmaster-Airy Filter as a new plugging for the program ImageJ, will be proposed.

  18. SAS tahab Estonian Airi liita lätlaste firmaga airBaltic / Andres Eilart

    Index Scriptorium Estoniae

    Eilart, Andres

    2007-01-01

    SAS plaanib Estonian Airi ja Läti firma airBalticu liitmisega luua uue lennufirma. Autori hinnangul viitavad Estonian Airi laienemisplaanidele kriipsu peale tõmbamine ja SAS-i investeeringud airBalticusse sellele, et ühendamise käigus "neelab" Läti firma Estonian Airi

  19. SAS pani Estonian Airi aktsiad müüki / Riina Kallas, Tuuli Aug

    Index Scriptorium Estoniae

    Kallas, Riina

    2009-01-01

    SAS müüb enamusosaluse Estonian Airis ja veel kuues tütarfirmas, majandus- ja kommunikatsiooniminister Juhan Parts näeb Estonian Airi uue osanikuna mõnda Eesti investorit. Endise Estonian Airi presidendi Erki Urva arvamus

  20. Nonparaxial diffraction analysis of Airy and SAiry beams.

    Science.gov (United States)

    Carretero, Luis; Acebal, Pablo; Blaya, Salvador; García, Celia; Fimia, Antonio; Madrigal, Roque; Murciano, Angel

    2009-12-07

    We theoretically analyze Airy beams by solving the exact vectorial Helmholtz equation using boundary conditions at a diffraction aperture. As result, the diffracted beams are obtained in the whole space; thus, we demonstrate that the parabolic trajectories are larger than those previously reported, showing that the Airy beams start to form before the Fourier plane. We also demonstrate the possibility of using a new type of Airy beams (SAiry beams) with finite energy that can be generated at the focal plane of the lens due to diffraction by a circular aperture of a spherical wave modified by a cubic phase. The finite energy ensured by the principle of conservation of energy of a diffracted beam.

  1. Super-resolution imaging based on virtual Airy spot

    Science.gov (United States)

    Liu, Zhengjun; Guo, Cheng; Cui, Junning; Wu, Qun

    2015-02-01

    Based on the theoretical model of Airy spot, a method is proposed for improving the imaging speed from confocal microscopy. The virtual Airy spot is designed for obtaining the pattern on CCD at detecting plane. Here the size of the spot is determined by the parameters of imaging system and intensity data from point detector, which can receive data quicker than CCD. The treatment can improve the speed of imaging comparing with CCD at receiving end. The virtual structured detection is also utilized for generating high-resolution image. Some numerical simulation results are provided for demonstrating the validity of the proposed method.

  2. Photorefractive and computational holography in the experimental generation of Airy beams

    Science.gov (United States)

    Suarez, Rafael A. B.; Vieira, Tarcio A.; Yepes, Indira S. V.; Gesualdi, Marcos R. R.

    2016-05-01

    In this paper, we present the experimental generation of Airy beams via computational and photorefractive holography. Experimental generation of Airy beams using conventional optical components presents several difficulties and a practically infeasible. Thus, the optical generation of Airy beams has been made from the optical reconstruction of a computer generated hologram implemented by a spatial light modulator. In the photorefractive holography technique, being used for the first time to our knowledge, the hologram of an Airy beam is constructed (recorded) and reconstructed (read) optically in a nonlinear photorefractive medium. The Airy beam experimental realization was made by a setup of computational and photorefractive holography using a photorefractive Bi12 TiO20 crystal as holographic recording medium. Airy beams and Airy beam arrays were obtained experimentally in accordance with the predicted theory; with excellent prospects for applications in optical trapping and optical communications systems.

  3. Photorefractive and computational holography in the experimental generation of Airy beams

    CERN Document Server

    Suarez, Rafael A B; Yepes, Indira S V; Gesualdi, Marcos R R

    2015-01-01

    In this paper, we present the experimental generation of Airy beams via computational and photorefractive holography. Experimental generation of Airy beams using conventional optical components presents several difficulties and are practically infeasible. Thus, the optical generation of Airy beams has been made from the optical reconstruction of a computer generated hologram implemented in a spatial light modulators. In the photorefractive holography technique, being used for the first time to our knowledge, the hologram of an Airy beam is constructed (recorded) and reconstructed (reading) optically in a nonlinear photorefractive medium. The Airy beam experimental realization was made by a setup of computational and photorefractive holography using a photorefractive Bi_{12}TiO_{20} crystal as holographic recording medium. Airy beams and Airy beam arrays were obtained experimentally as in accordance with the predicted theory; and present excellent prospects for applications in optical trapping and optical comm...

  4. Local kinetic-energy density of the Airy gas

    DEFF Research Database (Denmark)

    Vitos, Levente; Johansson, B.; Kollár, J.;

    2000-01-01

    The Airy gas model is used to derive an expression for the local kinetic energy in the linear potential approximation. The expression contains an explicit Laplacian term 2/5((h) over bar(2)/2m)del(mu)(2)(r) that, according to jellium surface calculations, must be a universal feature of any accura...

  5. Optimal control of the ballistic motion of Airy beams.

    Science.gov (United States)

    Hu, Yi; Zhang, Peng; Lou, Cibo; Huang, Simon; Xu, Jingjun; Chen, Zhigang

    2010-07-01

    We demonstrate the projectile motion of two-dimensional truncated Airy beams in a general ballistic trajectory with controllable range and height. We show that the peak beam intensity can be delivered to any desired location along the trajectory as well as repositioned to a given target after displacement due to propagation through disordered or turbulent media.

  6. Research on diffraction and self-acceleration of Airy beam∗%关于Airy光束衍射及自加速性质的研究

    Institute of Scientific and Technical Information of China (English)

    乐阳阳; 肖寒; 王子潇; 吴敏

    2013-01-01

    In 1979, Berry and Balazs [M V Berry and N L Balazs 1979 Am. J. Phys. 47 264] obtained a strict solution of the Schr¨odinger equation with Airy function used as the initial condition, and described the wave function represented by such solution as the Airy wave-packets. They discovered that infinite Airy wave-packet has unique properties such as non-spreading and free acceleration, proving that it is the only nontrivial non-spreading solution of the time-dependent Schr¨odinger equation in one dimension. However, the observing of the finite Airy beam seems to be more meaningful since wave-packets in reality is inevitably band limited. A certain form of finite Airy beam was investigated by Siviloglou et al. in 2007 [Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901;Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979]. They noted that the Airy wave packet still exhibits its most exotic feature, i.e., its trend toward free acceleration. While in the present paper we discuss the properties of Airy beam in a few steps further and propose several conclusions. On the one hand, a theoretic explanation is given to solve the matter of the centre of mass of infinite Airy beam. On the other hand, deeper research is conducted on the unique properties of finite Airy beam. Another form of finite Airy beam is discussed by reduction to absurdity, and its field distribution is put forward by numerical simulation. We find that the trajectory of the centroid holds its position, which means that the beam cannot accelerate freely as a whole. Ultimately, we have the conclusion that finite Airy beam can neither freely accelerate nor be non-diffractive.%  对Airy光束的特性做进一步探讨,一方面对无限宽Airy光束的重心问题给出新的理论说明,另一方面着重对有限宽情形下的Airy光束的奇特性质进行探讨。文中采用反证法给出无衍射的讨论,同时结合数值模拟给出高斯函数

  7. Quantitative study on propagation and healing of Airy beams under experimental conditions.

    Science.gov (United States)

    Zhuang, Fei; Zhu, Ziyi; Margiewicz, Jessica; Shi, Zhimin

    2015-03-01

    We investigate the propagation and healing of Airy beams in two dimensions that are obtainable under practical experimental conditions. We introduce an intensity similarity factor to quantitatively describe how an Airy beam retains its original shape. Based on such a figure of merit, we define a shape-retaining distance to quantify how far an Airy beam can keep the shape of its main lobe upon propagation and a healing distance to quantify how soon an initially partially blocked Airy beam can restore its main lobe profile. We perform an analysis on how these two distances scale with experimental parameters. We further use an interference picture to interpret the healing phenomenon of an Airy beam. Our work can serve as a guideline for quantitative performance analysis for applications of Airy beams and can be extended to other special beams in a straightforward fashion.

  8. Repositioning and steering laser beam power via coherent combination of multiple Airy beams.

    Science.gov (United States)

    Zhang, Ze; Ye, Zhuoyi; Song, Daohong; Zhang, Peng; Chen, Zhigang

    2013-12-10

    We study numerically and experimentally laser coherent combination (LCC) with multiple one- or two-dimensional Airy beams. It is shown that the method of LCC using Airy beams leads to a higher combining efficiency and a better feature of propagation than that using conventional Gaussian beams. Based on such coherent Airy beams combination, we propose a laser steering approach that could achieve large-angle beam steering (over 0.6°) without the need of using any mechanical steering component.

  9. Propagation of Airy Gaussian vortex beams in uniaxial crystals

    Science.gov (United States)

    Weihao, Yu; Ruihuang, Zhao; Fu, Deng; Jiayao, Huang; Chidao, Chen; Xiangbo, Yang; Yanping, Zhao; Dongmei, Deng

    2016-04-01

    The propagation dynamics of the Airy Gaussian vortex beams in uniaxial crystals orthogonal to the optical axis has been investigated analytically and numerically. The propagation expression of the beams has been obtained. The propagation features of the Airy Gaussian vortex beams are shown with changes of the distribution factor and the ratio of the extraordinary refractive index to the ordinary refractive index. The correlations between the ratio and the maximum intensity value during the propagation, and its appearing distance have been investigated. Project supported by the National Natural Science Foundation of China (Grant Nos. 11374108, 11374107, 10904041, and 11547212), the Foundation of Cultivating Outstanding Young Scholars of Guangdong Province, China, the CAS Key Laboratory of Geospace Environment, University of Science and Technology of China, the National Training Program of Innovation and Entrepreneurship for Undergraduates (Grant No. 2015093), and the Science and Technology Projects of Guangdong Province, China (Grant No. 2013B031800011).

  10. Production of accelerating quad Airy beams and their optical characteristics.

    Science.gov (United States)

    Ren, Zhijun; Wu, Qiong; Shi, Yile; Chen, Chen; Wu, Jiangmiao; Wang, Hui

    2014-06-16

    Based on a geometric caustic argument and diffraction catastrophe theory, we generate a novel form of accelerating beams using a symmetric 3/2 phase-only pattern. Such beams can be called accelerating quad Airy beams (AQABs) because they look very much like four face-to-face combined Airy beams. Optical characteristics of AQABs are subsequently investigated. The research results show that the beams have axial-symmetrical and centrosymmetrical transverse intensity patterns and quasi-diffraction-free propagation features for their four main lobes while undergoing transverse shift along parabolic trajectories. Moreover, we also demonstrate that AQABs possess self-construction ability when local areas are blocked. The unique optical properties of these beams will make them useful tools for future scientific applications.

  11. Propagation of time-truncated Airy-type pulses in media with quadratic and cubic dispersion

    CERN Document Server

    Hernández, José Angel Borda; Shaarawi, Amr; Besieris, Ioannis M

    2015-01-01

    In this paper, we describe analytically the propagation of Airy-type pulses truncated by a finite-time aperture when second and third order dispersion effects are considered. The mathematical method presented here, based on the superposition of exponentially truncated Airy pulses, is very effective, allowing us to avoid the use of time-consuming numerical simulations. We analyze the behavior of the time truncated Ideal-Airy pulse and also the interesting case of a time truncated Airy pulse with a "defect" in its initial profile, which reveals the self-healing property of this kind of pulse solution.

  12. Slow-light Airy wave packets and their active control via electromagnetically induced transparency

    CERN Document Server

    Hang, Chao

    2014-01-01

    We propose a scheme to generate (3+1)-dimensional slow-light Airy wave packets in a resonant $\\Lambda$-type three-level atomic gas via electromagnetically induced transparency. We show that in the absence of dispersion the Airy wave packets formed by a probe field consist of two Airy wave packets accelerated in transverse directions and a longitudinal Gaussian pulse with a constant propagating velocity lowered to $10^{-5}\\,c$ ($c$ is the light speed in vacuum). We also show that in the presence of dispersion it is possible to generate another type of slow-light Airy wave packets consisting of two Airy beams in transverse directions and an Airy wave packet in the longitudinal direction. In this case, the longitudinal velocity of the Airy wave packet can be further reduced during propagation. Additionally, we further show that the transverse accelerations (or bending) of the both types of slow-light Airy wave packets can be completely eliminated and the motional trajectories of them can be actively manipulated ...

  13. Cresco sai lahti võlast SASile ja osalusest Estonian Airis / Rivo Sarapik, Alyona Stadnik

    Index Scriptorium Estoniae

    Sarapik, Rivo, 1981-

    2010-01-01

    Majandus- ja kommunikatsiooniminister Juhan Parts ning SAS-i asepresident Benny Zakrisson kirjutasid alla Estonian Airi ostu-müügitehingule. Investeerimispank Cresco, millele kuulus 17% Estonian Airist, jääb välja Estonian Airi omanikeringist ning SAS-i nõue Crescole tühistatakse

  14. Riik jätkab Estonian Airi ostukõnelusi / Raimo Poom

    Index Scriptorium Estoniae

    Poom, Raimo

    2010-01-01

    Eesti valitsus jätkab läbirääkimisi SAS-i osaluse väljaostmiseks Estonian Airist, praegu tehakse Estonian Airi õiguslikku ja finantsilist auditit. Kanadas on kolm Estonian Airi tellimusel valminud lennukit, mille Eestisse jõudmine on viibinud peaaegu aasta

  15. Nonlinear evolution of Airy-like beams generated by modulated waveguide arrays.

    Science.gov (United States)

    Cao, Zheng; Tan, Qinggui; Li, Xiaojun; Qi, Xinyuan

    2016-08-20

    We numerically study the formation of modulated waveguide generated Airy-like beams and their subsequent evolution in homogeneous medium. The results show that the Airy-like beams could be generated from narrow Gaussian beams propagating in one-dimensional transverse separation modulated unbent, cosine bent, or logarithm bent waveguide arrays, respectively. The waveguide-generated Airy-like beams maintain their characteristics when propagating without nonlinearity or under the self-defocusing nonlinearity in homogeneous medium, while the beams are distorted under the self-focusing nonlinearity. The deformation depends on the waveguide bending and the outgoing angles of the Airy-like beams. Our results provide a new way to generate and manipulate the Airy-like beam.

  16. Impacts of cross-phase modulation on modulation instability of Airy pulses

    Science.gov (United States)

    Cheng, Yingkai; Fu, Xiquan; Bai, Yanfeng

    2016-10-01

    The modulation instability (MI) of Airy pulses with the influence of cross-phase modulation is studied based on the coupled nonlinear Schrödinger equations in nonlinear media. The main lobe of Airy pulses can be manifested as breakup of MI under interaction with higher power pumped solitons, although the power of Airy pulses is small. By comparing the main lobe's gain spectrum of MI, the gain spectrum has gradually improved with the increase of power of pumped solitons. The gain spectrum of MI of the main lobe is inversely proportional to the truncation coefficient, and then it gradually approaches to that of Gauss pulses with the truncation coefficient increasing to 1. For the side lobes of Airy pulses, there are similar MI but smaller gain spectrum than the main lobe when the pumped solitons is overlapping with corresponding ones of Airy pulses.

  17. Fractional calculus transmutation for the Airy WKB solutions and Stokes phenomenon

    Science.gov (United States)

    Kiryakova, Virginia

    2016-12-01

    We apply the transmutation method to give a new explanation of the Stokes phenomenon for the Airy differential equation and of the change of the coeffcients in its asymptotic solutions for large values of argument in different parts of the complex plane. As a transmutation operator, a Weyl type fractional order integral is used. But this scheme is a special case of the so-called Poisson- Sonine-Dimovski transmutation operators related to the hyper-Bessel differential equations of arbitrary integer order, and of the generalized fractional calculus operators related to differential equations of fractional multi-order and their solutions, including a number of special functions. We analyze also the previous results of other authors and suggest some perspectives to use the same method in more general cases.

  18. Finite element simulation of the compression behaviour of airy breakfast cereals

    KAUST Repository

    Mamlouk, Hedi

    2013-07-01

    In this paper we are concerned by the fragmentation study of five breakfast cereals from the market exhibiting differences in shape, formulation and texture. The experimental part of the study encompasses compression testing and fragment size evaluation using 2D image analysis. Structural information about the airy structure is then determined using X-ray tomography and related 3D image analysis. The numerical part has the ambition of assessing the fragmentation process using a damage-based mechanical model that simulates solid material rupture events as onset and growth of damage up to brittle failure. The model is based on a finite element scheme in which direct information of the 3D airy structure is encoded in the solid meshing. The force-displacement signature well shows competition between bending and compression driven failure depending on cereal shape. Our results show also large dispersion in the porous structure that affects significantly the result of the fragmentation. The numerical model is able to simulate the result of fragmentation at the cost of identifying two mechanical parameters, namely Young\\'s modulus and critical stress. These two quantities are proved to be product dependent and display a large range of variation. Industrial relevance The design of new food product becomes more and more based on functionality criteria. In a typical chewing process the need to understand the deformation mechanisms leading to fragmentation helps in understanding the role of the structure and, in turn, the processing conditions for building new transformed products. There is an increasing industrial demand in that sense especially knowing that some of the cereal products can be designed to meet these criteria for specific populations (old people with dental problems, infant feeding). Our work is, within this context, an attempt to set a numerical and experimental framework for studying the fragmentation of five selected breakfast cereals from the market.

  19. Propagation of Airy beams from right-handed material to left-handed material

    Institute of Scientific and Technical Information of China (English)

    Lin Hui-Chuan; Pu Ji-Xiong

    2012-01-01

    Based on the ABCD matrix formalism,the propagation property of an Airy beam from right-handed material(RHM)to left-handed material(LHM)is investigated.The result shows that when the Airy beam propagates in the LHM,the intensity self-bending due to its propagation in the RHM can be compensated.In particular,if the propagation distance in the RHM is equal to that in the LHM and the refractive index of the LHM is nL=-1,the transverse intensity distribution of the Airy beam can return to its original state.

  20. Quantitative comparison of self-healing ability between Bessel–Gaussian beam and Airy beam

    Energy Technology Data Exchange (ETDEWEB)

    Wen, Wei [Department of Physics and Information Engineering, Huaihua University, Huaihua 418008 (China); Chu, Xiuxiang, E-mail: xiuxiangchu@yahoo.com [School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an 311300 (China)

    2015-09-15

    The self-healing ability during propagation process is one of the most important properties of non-diffracting beams. This ability has crucial advantages to light sheet-based microscopy to reduce scattering artefacts, increase the quality of the image and enhance the resolution of microscopy. Based on similarity between two infinite-dimensional complex vectors in Hilbert space, the ability to a Bessel–Gaussian beam and an Airy beam have been studied and compared. Comparing the evolution of the similarity of Bessel–Gaussian beam with Airy beam under the same conditions, we find that Bessel–Gaussian beam has stronger self-healing ability and is more stable than that of Airy beam. To confirm this result, the intensity profiles of Bessel–Gaussian beam and Airy beam with different similarities are numerically calculated and compared.

  1. Estonian Airi Boeing sattus kaks korda hädaolukorda / Krister Kivi

    Index Scriptorium Estoniae

    Kivi, Krister, 1975-

    2011-01-01

    Estonian Airi Boeing ES-ABL sattus 2011. aasta algus kahel korral ohtlikku olukorda. Lennuamet tegi Estonian Airile ettekirjutuse, kuid seda pole ameti kodulehel avaldatud. Lennufirma kapteni ja lennuohutuse inspektori Andreas Kari, lennuameti selgitusi

  2. Nonparaxial shape-preserving Airy beams with Bessel signature

    CERN Document Server

    Zapata-Rodriguez, Carlos J

    2014-01-01

    Spatially accelerating beams that are solutions to the Maxwell equations may propagate along incomplete circular trajectories, after which diffraction broadening takes over and the beams spread out. Taking these truncated Bessel wave fields to the paraxial limit, some authors sustained that it is recovered the known Airy beams (AiBs). Based on the angular spectrum representation of optical fields, we demonstrated that the paraxial approximation rigorously leads to off-axis focused beams instead of finite-energy AiBs. The latter will arise under the umbrella of a nonparaxial approach following elliptical trajectories in place of parabolas. Deviations from full-wave simulations appear more severely in beam positioning rather than its local profile.

  3. Interaction of Airy-Gaussian beams in defected photonic lattices

    CERN Document Server

    Shi, Zhiwei; Zhu, Xing; Xiang, Ying; Li, Huagang

    2016-01-01

    We investigate interactions by means of direct numerical simulations between two finite Airy-Gaussian (AiG) beams in different media with the defected photonic lattices in one transverse dimension. We discuss different lattice structures in which the beams with different intensities and phases are launched into the medium, but accelerate in opposite directions. During interactions we see the interference fringe, breathers and soliton pairs generated that are not accelerating. In the linear media, the initial deflection direction of the accelerated beams is changed by adjusting the phase shift and the beam interval. For a certain lattice period, the periodic interference fringe can form. A constructive or destructive interference can vary with the defect depth and phase shift. While the nonlinearity is introduced, the breathers is generated. Especially, the appropriate beam amplitude and lattice depth may lead to the formation of soliton pairs.

  4. Airy functions and the Recursive Ray Acoustics Algorithm

    OpenAIRE

    House, Robert Simpson

    1994-01-01

    Approved for public release, distribution unlimited This thesis examines the acquisition environment and the Marine Corps Acquisition Process as they relate to the determination of initial requirements for weapon systems in juxatposition with Congressional and public expectations. The major conclusion drawn is that greater incorporation of operational Commander's inputs will serve to develop a more viable baseline required operational capability, and that the best vehicle to record and man...

  5. Periodic inversion and phase transition of finite energy Airy beams in a medium with parabolic potential.

    Science.gov (United States)

    Zhang, Yiqi; Belić, Milivoj R; Zhang, Lei; Zhong, Weiping; Zhu, Dayu; Wang, Ruimin; Zhang, Yanpeng

    2015-04-20

    We study periodic inversion and phase transition of normal, displaced, and chirped finite energy Airy beams propagating in a parabolic potential. This propagation leads to an unusual oscillation: for half of the oscillation period the Airy beam accelerates in one transverse direction, with the main Airy beam lobe leading the train of pulses, whereas in the other half of the period it accelerates in the opposite direction, with the main lobe still leading - but now the whole beam is inverted. The inversion happens at a critical point, at which the beam profile changes from an Airy profile to a Gaussian one. Thus, there are two distinct phases in the propagation of an Airy beam in the parabolic potential - the normal Airy and the single-peak Gaussian phase. The length of the single-peak phase is determined by the size of the decay parameter: the smaller the decay, the smaller the length. A linear chirp introduces a transverse displacement of the beam at the phase transition point, but does not change the location of the point. A quadratic chirp moves the phase transition point, but does not affect the beam profile. The two-dimensional case is discussed briefly, being equivalent to a product of two one-dimensional cases.

  6. Estonian Airi käekäik on meie enda kätes / Juhan Parts

    Index Scriptorium Estoniae

    Parts, Juhan, 1966-

    2010-01-01

    Logistikauudiste online intervjuu raames vastas majandus- ja kommunikatsiooniminister küsimustele, mis puudutasid Estonian Airi tulevikku ning riigi panust logistika- ja transpordisektorisse järgmisel aastal

  7. Multi-gigahertz, femtosecond Airy beam optical parametric oscillator pumped at 78 MHz

    Science.gov (United States)

    Aadhi, A.; Sharma, Varun; Chaitanya, N. Apurv; Samanta, G. K.

    2017-01-01

    We report a high power ultrafast Airy beam source producing femtosecond pulses at multi-gigahertz (GHz) repetition rate (RR). Based on intra-cavity cubic phase modulation of an optical parametric oscillator (OPO) designed in high harmonic cavity configuration synchronous to a femtosecond Yb-fiber laser operating at 78 MHz, we have produced ultrafast 2D Airy beam at multi-GHz repetition rate through the fractional increment in the cavity length. While small (Magnesium-oxide doped periodically poled LiNbO3 (MgO:PPLN) crystal for efficient generation of ultrafast Airy beam and broadband mid-IR radiation. Pumping the MgO:PPLN crystal of grating period, Λ = 30 μm and crystal temperature, T = 100 °C using a 5-W femtosecond laser centred at 1064 nm, we have produced Airy beam radiation of 684 mW in ~639 fs (transform limited) pulses at 1525 nm at a RR of ~2.5 GHz. Additionally, the source produces broadband idler radiation with maximum power of 510 mW and 94 nm bandwidth at 3548 nm in Gaussian beam profile. Using an indirect method (change in cavity length) we estimate maximum RR of the Airy beam source to be ~100 GHz. PMID:28262823

  8. Optical Bloch oscillations of an Airy beam in a photonic lattice with a linear transverse index gradient.

    Science.gov (United States)

    Xiao, Fajun; Li, Baoran; Wang, Meirong; Zhu, Weiren; Zhang, Peng; Liu, Sheng; Premaratne, Malin; Zhao, Jianlin

    2014-09-22

    We theoretically report the existence of optical Bloch oscillations (BO) of an Airy beam in a one-dimensional optically induced photonic lattice with a linear transverse index gradient. The Airy beam experiencing optical BO shows a more robust non-diffracting feature than its counterparts in free space or in a uniform photonic lattice. Interestingly, a periodical recurrence of Airy shape accompanied with constant alternation of its acceleration direction is also found during the BO. Furthermore, we demonstrate that the period and amplitude of BO of an Airy beam can be readily controlled over a wide range by varying the index gradient and/or the lattice period. Exploiting these features, we propose a scheme to rout an Airy beam to a predefined output channel without losing its characteristics by longitudinally modulating the transverse index gradient.

  9. Lossless Airy Surface Polaritons in a Metamaterial via Active Raman Gain

    CERN Document Server

    Zhang, Qi; Huang, Guoxiang

    2016-01-01

    We propose a scheme to realize a lossless propagation of linear and nonlinear Airy surface polaritons (SPs) via active Raman gain (ARG). The system we suggest is a planar interface superposed by a negative index metamaterial (NIMM) and a dielectric, where three-level quantum emitters are doped. By using the ARG from the quantum emitters and the destructive interference effect between the electric and magnetic responses from the NIMM, we show that not only the Ohmic loss of the NIMM but also the light absorption of the quantum emitters can be completely eliminated. As a result, non-diffractive Airy SPs may propagate for very long distance without attenuation. We also show that the Kerr nonlinearity of the system can be largely enhanced due to the introduction of the quantum emitters and hence lossless Airy surface polaritonic solitons with very low power can be generated in the system.

  10. Optical Bloch oscillations and Zener tunneling of Airy beams in ionic-type photonic lattices.

    Science.gov (United States)

    Xiao, Fajun; Zhu, Weiren; Shang, Wuyun; Wang, Meirong; Zhang, Peng; Liu, Sheng; Premaratne, Malin; Zhao, Jianlin

    2016-08-01

    We report on the existence of optical Bloch oscillations (OBOs) and Zener tunneling (ZT) of Airy beams in ionic-type photonic lattices with a refractive index ramp. Different from their counterparts in uniform lattices, Airy beams undergoing OBOs show an alternatively switched concave and convex trajectory as well as a periodical revival of input beam profiles. Moreover, the ionic-type photonic lattice established in photorefractive crystal exhibits a reconfigurable lattice structure, which provides a flexible way to tune the amplitude and period of the OBOs. Remarkably, it is demonstrated that the band gap of the lattice can be readily controlled by rotating the lattice inducing beam, which forces the ZT rate to follow two significant different decay curves amidst decreasing index gradient. Our results open up new possibilities for all-optical switching, routing and manipulation of Airy beams.

  11. Airy-like pulses in models of large molecular chains, and conservative numerical methods for quasi-linear Hamiltonian systems

    CERN Document Server

    LeMesurier, Brenton

    2013-01-01

    The phenomenon of coherent energetic pulse propagation in macromolecular chains such as $\\alpha$-helix protein is studied using the Davydov-Scott model, with both numerical studies using a new unconditionally stable fourth order accurate energy-momentum conserving time discretization, and with analysis based on ideas of center manifold theory. It is shown that for physically natural impulsive initial data, the coherent traveling pulses seen have a form related to the Airy function, but with rapid variation of phase along the chain. This can be explained in terms of a new continuum limit approximation by the third derivative nonlinear Schr\\"odinger equation, which differs from the previous continuum limit approximations related to the standard NLS equation. A theorem is given describing the construction of such conservative time discretizations for a large class of Hamiltonian systems.

  12. Widely varying giant Goos-Hänchen shifts from Airy beams at nonlinear interfaces.

    Science.gov (United States)

    Chamorro-Posada, Pedro; Sánchez-Curto, Julio; Aceves, Alejandro B; McDonald, Graham S

    2014-03-15

    We present a numerical study of the giant Goos-Hänchen shifts (GHSs) obtained from an Airy beam impinging on a nonlinear interface. To avoid any angular restriction associated with the paraxial approximation, the analysis is based on the nonlinear Helmholtz equation. We report the existence of nonstandard nonlinear GHSs displaying an extreme sensitivity to the input intensity and the existence of multiple critical values. These intermittent and oscillatory regimes can be explained in terms of competition between critical coupling to a surface mode and soliton emission from the refracted beam component and how this interplay varies with localization of the initial Airy beam.

  13. Intermittent Giant Goos-Hanchen shifts from Airy beams at nonlinear interfaces

    CERN Document Server

    Chamorro-Posada, Pedro; Aceves, Alejandro B; McDonald, Graham S

    2013-01-01

    We study the giant Goos-Hanchen shift obtained from an Airy beam impinging on a nonlinear interface. To avoid any angular restriction associated with the paraxial approximation, the analysis is based on the numerical solution of the nonlinear Helmholtz equation. We report the existence of non-standard intermittent and oscillatory regimes for the nonlinear Goos-Hanchen shifts which can be explained in terms of the competition between the critical coupling to a surface mode of the reflected component of the Airy beam and the soliton emission from the refracted beam component.

  14. Olev Schults : SAS vajab Estonian Airi rahvusliku lennufirmana / Olev Schults ; interv. Andres Reimer

    Index Scriptorium Estoniae

    Schults, Olev

    2008-01-01

    Estonian Airi nõukogu esimees vastab küsimustele, kas SAS arendas Läti airBalticut Estonian SAS-i arvel, mis mõte on rahvuslikul lennukompaniil, kui riik ei tohi seda finantseerida, kuidas mõjutab investorite meeleolu SAS-i Eestis tabanud poliitikute kriitika tulv

  15. "Translocal Express" tembutab jälle / Rael Artel, Airi Triisberg

    Index Scriptorium Estoniae

    Artel, Rael, 1980-

    2008-01-01

    Korraldajad 22. ja 23. II Okupatsioonide Muuseumis toimuvast rahvusvahelisest seminarist "Translocal Express. Jubilee Edition", kus vaatluse all on kaasaegse kunsti ja natsionalismi suhted. Seminari kava. Eesti kunstnikest esineb Flo Kasearu, esitletakse Rael Arteli ja Airi Triisbergi raamatut "Public Preparation - Biennale of Young Artists"

  16. SAS võib omapoolse panusena kustutada osa Estonian Airi laenust / Gert D. Hankewitz

    Index Scriptorium Estoniae

    Hankewitz, Gert D.

    2011-01-01

    Lennufirma SAS investorsuhete asepresidendi Sture Stoleni sõnul ei ole tõenäoline, et nende firma maksaks mingit raha Estonian Airi kapitali, küll aga ei saa välistada võimalust, et võidakse kustutada osa antud laenust

  17. Investigation on partially coherent Airy beams and their propagation∗%部分相干Airy光束及其传输的研究*

    Institute of Scientific and Technical Information of China (English)

    崔省伟; 陈子阳; 胡克磊; 蒲继雄

    2013-01-01

    Based on the cross-spectral density function of Gaussian Shell-Model and Huygens integral, the expression of partially coherent Airy beam was derived. The non-diffraction and acceleration characteristics of partially coherent Airy beam were theoretically studied and experimentally observed. The experimental observation was consistent with the theoretical prediction. Furthermore, the non-diffraction distance and the transversal acceleration decrease with decreasing coherent length.%  利用高斯-谢尔模型的交叉谱密度公式和惠更斯衍射积分,得到了部分相干Airy光束的表达式。对不同相干度的部分相干Airy光束的无衍射和横向加速偏移的性质进行了理论分析并予以实验验证,结果一致表明部分相干Airy光束也具有无衍射和横向加速度的特性,而且相干度越低,部分相干Airy光束的无衍射距离越短,横向加速度越小。

  18. Dynamics of Finite Energy Airy Beams Carrying Orbital Angular Momentum in Multilevel Atomic Vapors

    Science.gov (United States)

    Wu, Zhenkun; Wang, Shun; Hu, Weifei; Gu, Yuzong

    2016-10-01

    We numerically investigate the dynamics of inward circular finite-energy Airy beams carrying different orbital angular momentum (OAM) numbers in a close-Λ three-level atomic vapor with the electromagnetically induced transparency (EIT) window. We report that due to the EIT induced by the microwave field, the transverse intensity distribution properties of Airy beam can be feasibly manipulated and modulated through adjusting OAM numbers l and the frequency detuning, as well as the propagation distance, in the multi-level atomic systems. What's more, the rotation of the beam also can be observed with different positions in atomic ensembles. The investigation may provide a useful tool for studying particle manipulation, signal processing and propagation in graded-index (GRIN) fibers.

  19. Wavelength estimation by using the Airy disk from a diffraction pattern with didactic purposes

    Science.gov (United States)

    Rivera-Ortega, Uriel; Pico-Gonzalez, Beatriz

    2016-01-01

    In this paper a simple and easy to implement method that uses the Airy disk generated from a Fraunhofer diffraction pattern due to a circular aperture will be used to estimate the wavelength of the illuminating laser source. This estimation is based on the measurement of the Airy disk diameter, whose approximation is directly proportional to the wavelength of the light source and to the distance between the aperture and the image plane; and inversely proportional to the diameter of the aperture. Due to the characteristics and versatility of the present proposal, this is perfectly suitable for use in graduate or undergraduate physics laboratories, or even in classrooms for educational and/or demonstrative purposes.

  20. Nonlinear dynamics of Airy-Vortex 3D wave packets: Emission of vortex light waves

    CERN Document Server

    Driben, Rodislav

    2014-01-01

    The dynamics of 3D Airy-vortex wave packets is studied under the action of strong self-focusing Kerr nonlinearity. Emissions of nonlinear 3D waves out of the main wave packets with the topological charges were demonstrated. Due to the conservation of the total angular momentum, charges of the emitted waves are equal to those carried by the parental light structure. The rapid collapse imposes a severe limitation on the propagation of multidimensional waves in Kerr media. However, the structure of the Airy beam carrier allows the coupling of light from the leading, most intense peak into neighboring peaks and consequently strongly postpones the collapse. The dependence of the critical input amplitude for the appearance of a fast collapse on the beam width is studied for wave packets with zero and non-zero topological charges. Wave packets carrying angular momentum are found to be much more resistant to the rapid collapse, especially those having small width.

  1. Nonlinear dynamics of Airy-vortex 3D wave packets: emission of vortex light waves.

    Science.gov (United States)

    Driben, Rodislav; Meier, Torsten

    2014-10-01

    The dynamics of 3D Airy-vortex wave packets is studied under the action of strong self-focusing Kerr nonlinearity. Emissions of nonlinear 3D waves out of the main wave packets with the topological charges were demonstrated. Because of the conservation of the total angular momentum, charges of the emitted waves are equal to those carried by the parental light structure. The rapid collapse imposes a severe limitation on the propagation of multidimensional waves in Kerr media. However, the structure of the Airy beam carrier allows the coupling of light from the leading, most intense peak into neighboring peaks and consequently strongly postpones the collapse. The dependence of the critical input amplitude for the appearance of a fast collapse on the beam width is studied for wave packets with zero and nonzero topological charges. Wave packets carrying angular momentum are found to be much more resistant to the rapid collapse.

  2. Three-dimensional ultrashort optical Airy beams in an inhomogeneous medium with carbon nanotubes

    Science.gov (United States)

    Zhukov, Alexander V.; Bouffanais, Roland; Belonenko, Mikhail B.; Dvuzhilov, Ilya S.

    2017-03-01

    In this Letter, we consider the problem of the dynamics of propagation of three-dimensional optical pulses (a.k.a. light bullets) with an Airy profile through a heterogeneous environment of carbon nanotubes. We show numerically that such beams exhibit sustained and stable propagation. Moreover, we demonstrate that by varying the density modulation period of the carbon nanotubes one can indirectly control the pulse velocity, which is a particularly valuable feature for the design and manufacturing of novel pulse delay devices.

  3. Shaping symmetric Airy beam through binary amplitude modulation for ultralong needle focus

    Energy Technology Data Exchange (ETDEWEB)

    Fang, Zhao-Xiang; Gong, Lei [Department of Optics and Optical Engineering, University of Science and Technology of China, Hefei 230026 (China); Ren, Yu-Xuan, E-mail: yxren@ustc.edu.cn [National Center for Protein Sciences Shanghai, Institute of Biochemistry and Cell Biology, Shanghai Institutes for Biological Sciences, Shanghai 200031 (China); Vaveliuk, Pablo [Centro de Investigaciones Opticas (CONICET La Plata-CIC), Cno. Centenario y 506, P.O. Box 3, 1897 Gonnet, La Plata, Pcia. de Buenos Aires (Argentina); Chen, Yue; Lu, Rong-De, E-mail: lrd@ustc.edu.cn [Physics Experiment Teaching Center, School of Physical Sciences, University of Science and Technology of China, Hefei 230026 (China)

    2015-11-28

    Needle-like electromagnetic field has various advantages for the applications in high-resolution imaging, Raman spectroscopy, as well as long-distance optical transportation. The realization of such field often requires high numerical aperture (NA) objective lens and the transmission masks. We demonstrate an ultralong needle-like focus in the optical range produced with an ordinary lens. This is achieved by focusing a symmetric Airy beam (SAB) generated via binary spectral modulation with a digital micromirror device. Such amplitude modulation technique is able to shape traditional Airy beams, SABs, as well as the dynamic transition modes between the one-dimensional and two-dimensional (2D) symmetric Airy modes. The created 2D SAB was characterized through measurement of the propagating fields with one of the four main lobes blocked by an opaque mask. The 2D SAB was verified to exhibit self-healing property against propagation with the obstructed major lobe reconstructed after a certain distance. We further produced an elongated focal line by concentrating the SAB via lenses with different NAs and achieved an ultralong longitudinal needle focus. The produced long needle focus will be applied in optical, chemical, and biological sciences.

  4. Dealing with Dependent Uncertainty in Modelling: A Comparative Study Case through the Airy Equation

    Directory of Open Access Journals (Sweden)

    J.-C. Cortés

    2013-01-01

    Full Text Available The consideration of uncertainty in differential equations leads to the emergent area of random differential equations. Under this approach, inputs become random variables and/or stochastic processes. Often one assumes that inputs are independent, a hypothesis that simplifies the mathematical treatment although it could not be met in applications. In this paper, we analyse, through the Airy equation, the influence of statistical dependence of inputs on the output, computing its expectation and standard deviation by Fröbenius and Polynomial Chaos methods. The results are compared with Monte Carlo sampling. The analysis is conducted by the Airy equation since, as in the deterministic scenario its solutions are highly oscillatory, it is expected that differences will be better highlighted. To illustrate our study, and motivated by the ubiquity of Gaussian random variables in numerous practical problems, we assume that inputs follow a multivariate Gaussian distribution throughout the paper. The application of Fröbenius method to solve Airy equation is based on an extension of the method to the case where inputs are dependent. The numerical results show that the existence of statistical dependence among the inputs and its magnitude entails changes on the variability of the output.

  5. Shaping symmetric Airy beam through binary amplitude modulation for ultralong needle focus

    CERN Document Server

    Fang, Zhao-Xiang; Gong, Lei; Vaveliuk, Pablo; Chen, Yue; Lu, Rong-De

    2015-01-01

    Needle-like electromagnetic fields has various advantages for the applications in high-resolution imaging, Raman Spectroscopy, as well as long-distance optical transportation. The realization of such field often requires high numerical aperture (NA) objective lens and the transmission masks. We demonstrate an ultralong needle-like focus in the optical range produced with an ordinary lens. This is achieved by focusing a symmetric Airy beam (SAB) generated via binary spectral modulation with a digital micromirror device(DMD). Such amplitude modulation technique is able to shape traditional Airy beams, SABs, as well as the dynamic transition modes between the one-dimensional(1D) and two-dimensional (2D) symmetric Airy modes. The created 2D SAB was characterized through measurement of the propagating fields with one of the four main lobes blocked by an opaque mask. The 2D SAB was verified to exhibit self-healing property against propagation with the obstructed major lobe reconstructed after a certain distance. We...

  6. Ühe minuti loengute abil jõuavad väärt teadmised kiiresti ja mugavalt huvilisteni / Airi Ilisson-Cruz ; intervjueerinud Ada Maltseva

    Index Scriptorium Estoniae

    Ilisson-Cruz, Airi, 1980-

    2014-01-01

    Tallinna Ülikooli loengute sarjast, mille idee autor ja konsultant on Balti Filmi- ja Meediakooli õppejõud Indrek Treufeldt, kaasa löövad Tallinna Ülikooli turundus- ja kommunikatsiooniosakond, produtsent Airi Ilisson-Cruz ja e-õppekeskus, operaatorid-monteerijad Kristjan Madalvee ja Tarmo Lehari. Intervjuu loengusarja produtsendi Airi Ilisson-Cruziga

  7. Bourdieu on püüdnud näidata oma teooriate universaalsust... : Bourdieu / Anders Härm, Airi-Alina Allaste

    Index Scriptorium Estoniae

    Härm, Anders, 1977-

    2005-01-01

    Küsimusele milliste probleemidega tegelemisel Eestis võiks abi olla Pierre Bourdieu' teooriatest vastavad teiste hulgas Airi-Alina Allaste ja Anders Härm. Airi-Alina Allaste toob näiteks kunstisotsioloogia. Anders Härm P. Bourdieu teooriate kasutamisvõimalustest kunstiteaduses. B. Bourdieu teooriate rakendamise näiteks toob ta Johannes Saare ja Epp Lankotsa

  8. Propagation of an Airy-Gaussian beam in defected photonic lattices

    CERN Document Server

    Shi, Zhiwei; Zhu, Xing; Li, Yang; Li, Huagang

    2016-01-01

    We investigate numerically that a finite Airy-Gaussian (AiG) beam varies its trajectory and shape in the defected photonic lattices. The propagation properties and beam self-bending are controlled with modulation depth and period of the photonic lattices, positive and negative defects, beam distribution factor and nonlinearity change. For positive defects, the pseudo-period oscillation and localization of the AiG beam may be formed under a certain condition, while the beam is diffused for negative defects. Moreover, the solitons may appear during the propagation process when the self-focusing nonlinearity is introduced.

  9. Soliton pair generation in the interactions of Airy and nonlinear accelerating beams

    CERN Document Server

    Zhang, Yiqi; Wu, Zhenkun; Zheng, Huaibin; Lu, Keqing; Li, Yuanyuan; Zhang, Yanpeng

    2013-01-01

    We investigate numerically the interactions of two in-phase and out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-phase case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-phase case, they repel each other and after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.

  10. Propagation of ring Airy Gaussian beams with optical vortices through anisotropic non-Kolmogorov turbulence

    Science.gov (United States)

    Zhi, Dong; Tao, Rumao; Zhou, Pu; Ma, Yanxing; Wu, Wuming; Wang, Xiaolin; Si, Lei

    2017-03-01

    A new ring Airy Gaussian (RAiG) vortex beam generation method by coherent combination of Gaussian beam array has been proposed. To validate the feasibility of this method, the propagation properties of the RAiG vortex beam and the coherent combining beam in vacuum have been studied and analyzed. From the comparisons of the intensity distributions and phase patterns along the propagation path, we can conclude that the coherent combining beam has the same properties as those of the ideal RAiG vortex beam. So this method can be used to obtain RAiG vortex beam in practice. Then the general analytical expression of the root-mean-square (RMS) beam width of the RAiG vortex beam, which is appropriately generated by coherent combining method, through anisotropic non-Kolmogorov turbulence has been derived. The influence of anisotropic turbulence on RMS beam width of the generated RAiG vortex beam has been numerically calculated. This generation method has good appropriation to the ideal RAiG vortex beam and is very useful for deriving the analytical expression of propagation properties through a random media. The conclusions are useful in practical applications, such as laser communication and remote sensing systems.

  11. Gaussian and Airy wave-packets of massive particles with orbital angular momentum

    CERN Document Server

    Karlovets, Dmitry V

    2014-01-01

    While wave-packet solutions for relativistic wave equations are oftentimes thought to be approximate (paraxial), we demonstrate that there is a family of such solutions, which are exact, by employing a null-plane (light-cone) variables formalism. A scalar Gaussian wave-packet in transverse plane is generalized so that it acquires a well-defined z-component of the orbital angular momentum (OAM), while may not acquire a typical "doughnut" spatial profile. Such quantum states and beams, in contrast to the Bessel ones, may have an azimuthal-angle-dependent probability density and finite quantum uncertainty of the OAM, which is determined by the packet's width. We construct a well-normalized Airy wave-packet, which can be interpreted as a one-particle state for relativistic massive boson, show that its center moves along the same quasi-classical straight path and, what is more important, spreads with time and distance exactly as a Gaussian wave-packet does, in accordance with the uncertainty principle. It is expla...

  12. Numerical and asymptotic aspects of parabolic cylinder functions

    NARCIS (Netherlands)

    Temme, N.M.

    2000-01-01

    Several uniform asymptotics expansions of the Weber parabolic cylinder functions are considered, one group in terms of elementary functions, another group in terms of Airy functions. Starting point for the discussion are asymptotic expansions given earlier by F.W.J. Olver. Some of his results are

  13. On Characteristics of the Propagation of Airy Beams in Meta-materials%艾里光束在超常介质中的传输特性

    Institute of Scientific and Technical Information of China (English)

    王友文; 李舒; 游开明; 陈列尊; 陆世专; 戴志平; 凌晓辉

    2014-01-01

    艾里光束(Airy beam )是近年来备受关注的新型无衍射激光束之一,艾里激光束具有自由加速、无衍射及自愈等奇异特性,并具有重要应用前景。超常介质为人工微结构材料,它使人们具备按需要设计介质参数的能力。基于一维光束传输方程,获得了超常介质中艾里光束复振幅传输解析表达式。数值计算结果表明,超常介质中艾里光束振幅的大小与在正常介质中完全相同,而振幅的虚部和相位正好相反。所得结果为人们操控艾里光束提供支持。%The Airy beam is a new kind of non-diffracting beam discovered in recent years .Airy beams have exotic characteris-tics such as free acceleration ,non-diffracting laser beam and self-healing ,and so have important application potentials .Meta-materials are artificial microstructures material ,which permit people to design electromagnetic parameters of media at will . Based on the paraxial wave equation ,the analytical expression of complex amplitude of Airy beams in meta-materials is ob-tained ;in addition ,the numerical results show that ,the module of complex amplitude of Airy beams in meta-materials is simi-lar to that of conventional medium ,while the imaginary part and the phase complex amplitude are opposite .The results may provide support for people to better manipulation of the Airy beam .

  14. Energy Harvesting From Sea Waves With Consideration of Airy and JONSWAP Theory and Optimization of Energy Harvester Parameters

    Institute of Scientific and Technical Information of China (English)

    Hadi Mirab; Reza Fathi; Vahid Jahangiri; Mir Mohammad Ettefagh; Reza Hassannejad

    2015-01-01

    One of the new methods for powering low-power electronic devices at sea is a wave energy harvesting system. In this method, piezoelectric material is employed to convert the mechanical energy of sea waves into electrical energy. The advantage of this method is based on avoiding a battery charging system. Studies have been done on energy harvesting from sea waves, however, considering energy harvesting with random JONSWAP wave theory, then determining the optimum values of energy harvested is new. This paper does that by implementing the JONSWAP wave model, calculating produced power, and realistically showing that output power is decreased in comparison with the more simple Airy wave model. In addition, parameters of the energy harvester system are optimized using a simulated annealing algorithm, yielding increased produced power.

  15. Integrals of Bessel functions

    CERN Document Server

    Luke, Yudell L

    2014-01-01

    Integrals of Bessel Functions concerns definite and indefinite integrals, the evaluation of which is necessary to numerous applied problems. A massive compendium of useful information, this volume represents a resource for applied mathematicians in many areas of academia and industry as well as an excellent text for advanced undergraduates and graduate students of mathematics.Starting with an extensive introductory chapter on basic formulas, the treatment advances to indefinite integrals, examining them in terms of Lommel and Bessel functions. Subsequent chapters explore airy functions, incomp

  16. Spatially induced Airy-Bessel light bullets%空间诱导产生艾里-贝塞尔光弹研究

    Institute of Scientific and Technical Information of China (English)

    任志君; 吴琼; 周卫东; 吴根柱; 施逸乐

    2012-01-01

    利用波动方程,研究了脉冲贝塞尔光束在自由空间传输时的空间诱导群速度色散(SIGVD)效应.结果表明,三阶SIGVD能使脉冲贝塞尔光束的时域逐渐演化为艾里分布.由于艾里一贝塞尔光弹是一种新奇的时、空都不扩展的局域波包,能在光与物质相互作用的很多应用领域发挥作用.因此,本文提出了通过色散管理技术补偿二阶SIGVD,利用三阶SIGVD在自由空间产生艾里.贝塞尔光弹的方案.为分析这种光弹的时空传输特性,数值模拟了它在色散介质中的传输情况.结果表明,这种光弹能在色散介质中保持空域不衍射、时域不色散的稳定传输.%Based on wave equation, we theoretically study the effect of spatially induced group velocity dispersion (SIGVD) of pulsed Bessel light beam propagation in free space. The results show that the third-order SIGVD can make pulsed Bessel beam gradually evolve into temporally Airy distribution. Airy-Bessel wave packet is such an exotic localized optical wave packet that it can possibly serve versatile tool in the research of light-matter interactions and has extensive applications. Hence we demonstrate the realization scheme of Airy-Bessel light bullets in free space by compensating the second-order SIGVD through utilizing dispersion management technique. To analyze the spatiotemporal propagation properties, we numerically simulate this light bullet propagation in a dispersion medium. The results show that it can retain spatial diffraction-free and temporal dispersion-free propagation in medium.

  17. Propagation properties of right-hand circularly polarized Airy-Gaussian beams through slabs of right-handed materials and left-handed materials.

    Science.gov (United States)

    Huang, Jiayao; Liang, Zijie; Deng, Fu; Yu, Weihao; Zhao, Ruihuang; Chen, Bo; Yang, Xiangbo; Deng, Dongmei

    2015-11-01

    The propagation of right-hand circularly polarized Airy-Gaussian beams (RHCPAiGBs) through slabs of right-handed materials (RHMs) and left-handed materials (LHMs) is investigated analytically and numerically with the transfer matrix method. An approximate analytical expression for the RHCPAiGBs passing through a paraxial ABCD optical system is derived on the basis of the Huygens diffraction integral formula. The intensity and the phase distributions of the RHCPAiGBs through RHMs and LHMs are demonstrated. The influence of the parameter χ0 on the propagation of RHCPAiGBs through RHM and LHM slabs is investigated. The RHCPAiGBs possess transverse-momentum currents, which shows that the physics underlying this intriguing accelerating effect is that of the combined contributions of the transverse spin and transverse orbital currents. Additionally, we go a step further to explore the radiation force including the gradient force and scattering force of the RHCPAiGBs.

  18. Bending analysis of a functionally graded piezoelectric cantilever beam

    Institute of Scientific and Technical Information of China (English)

    YU Tao; ZHONG Zheng

    2007-01-01

    A new analysis based on Airy stress function method is presented for a functionally graded piezoelectric material cantilever beam.Assuming that the mechanical and electric properties of the material have the same variations along the thickness direction,a two-dimensional plane elasticity solution is obtained for the coupling electroelastic fields of the beam under different loadings.This solution will be useful in analyzing FGPM beam with arbitrary variations of material properties.The influences of the functionally graded material properties on the structural response of the beam subjected to different loads are also studied through numerical examples.

  19. Bending analysis of a functionally graded piezoelectric cantilever beam

    Institute of Scientific and Technical Information of China (English)

    2007-01-01

    A new analysis based on Airy stress function method is presented for a functionally graded piezoelectric material cantilever beam. Assuming that the mechanical and electric properties of the material have the same variations along the thickness direction, a two-dimensional plane elasticity solution is obtained for the coupling electroelastic fields of the beam under different loadings. This solution will be useful in analyzing FGPM beam with arbitrary variations of material properties. The influences of the functionally graded material properties on the structural response of the beam subjected to different loads are also studied through numerical examples.

  20. SEMICONDUCTOR DEVICES Comparison of electron transmittances and tunneling currents in an anisotropic TiNx/HfO2/SiO2/p-Si(100) metal—oxide—semiconductor (MOS) capacitor calculated using exponential- and Airy-wavefunction approaches and a transfer matrix method

    Science.gov (United States)

    Noor, Fatimah A.; Abdullah, Mikrajuddin; Sukirno; Khairurrijal

    2010-12-01

    Analytical expressions of electron transmittance and tunneling current in an anisotropic TiNx/HfO2/SiO2/p-Si(100) metal—oxide—semiconductor (MOS) capacitor were derived by considering the coupling of transverse and longitudinal energies of an electron. Exponential and Airy wavefunctions were utilized to obtain the electron transmittance and the electron tunneling current. A transfer matrix method, as a numerical approach, was used as a benchmark to assess the analytical approaches. It was found that there is a similarity in the transmittances calculated among exponential- and Airy-wavefunction approaches and the TMM at low electron energies. However, for high energies, only the transmittance calculated by using the Airy-wavefunction approach is the same as that evaluated by the TMM. It was also found that only the tunneling currents calculated by using the Airy-wavefunction approach are the same as those obtained under the TMM for all range of oxide voltages. Therefore, a better analytical description for the tunneling phenomenon in the MOS capacitor is given by the Airy-wavefunction approach. Moreover, the tunneling current density decreases as the titanium concentration of the TiNx metal gate increases because the electron effective mass of TiNx decreases with increasing nitrogen concentration. In addition, the mass anisotropy cannot be neglected because the tunneling currents obtained under the isotropic and anisotropic masses are very different.

  1. Emancipation(s) / Airi Triisberg

    Index Scriptorium Estoniae

    Triisberg, Airi, 1982-

    2009-01-01

    Tallinna Kunstihoones 20. jaan.-1.märtsini 2009 olnud Mika Hannula ja Minna Henrikssoni kureeritud näitusest "Happy Together" Mika Hannula näitusele eelnenud loengu valguses. Näitusel osalesid kunstnikud Kagu-Euroopast, Balti- ja Põhjamaadest. Petra Baueri (Rootsi) performance-loengust "Deleted Swedish Stories", Igor Grubici (Horvaatia) videost "East Side Story" (2009), Kristina Normani tööst "Community" (2009), Soome rühmituse YKON mängust "Ykon Game v.0.3"

  2. Rukkikrahvi Sangaste loss / Airi Hallik

    Index Scriptorium Estoniae

    Hallik, Airi, 1975-

    2006-01-01

    Sangaste lossi (arhitekt Otto Pius Hippius, ehitusmeister Rudolf Maag, 1879-1883) ajaloost, omanikest, arhitektuurist, parkmetsast, legendidest, Bergide suguvõsa vapist jm. Lossi lasi ehitada krahv Friedrich Georg Magnus von Berg. Talli ja veetorni kavandasid Paul Alisch ja R. Bernhard. 2004. a. sai lossi haldajaks OÜ Lossihaldus. Lossi restaureerimisest, haldaja tulevikuplaanidest. Parkmetsa on püstitatud sammas metsaülemale Herbert Raap'ile. 18 ill

  3. Tage Anderseni muinasjutt / Airi Hallik

    Index Scriptorium Estoniae

    Hallik, Airi, 1975-

    2006-01-01

    Taani floristi Tage Anderseni (sünd. 1947) muuseum-galerii Kopenhaagenis Ny Adelgade'il. Peale lilleseadete on T. Andersen teinud lavakujundusi ja teatrikostüüme, kirjutanud raamatuid taimekunstist. 2004. a. sai T. Andersen Rootsi Norrvikeni aiakompleksi peadirektoriks. Suvel on seal avatud tema kujundatud restoran Kommandanten. Taivo Piller T. Anderseni taimeseadetest. 6 värv. ill

  4. Second-order complex linear differential equations with special functions or extremal functions as coefficients

    Directory of Open Access Journals (Sweden)

    Xiubi Wu

    2015-05-01

    Full Text Available The classical problem of finding conditions on the entire coefficients A(z and B(z guaranteeing that all nontrivial solutions of $f''+A(zf'+B(zf=0$ are of infinite order is discussed. Two distinct approaches are used. In the first approach the coefficient A(z itself is a solution of a differential equation $w''+P(zw=0$, where P(z is a polynomial. This assumption yields stability on the behavior of A(z via Hille's classical method on asymptotic integration. In this case A(z is a special function of which the Airy integral is one example. The second approach involves extremal functions. It is assumed that either A(z is extremal for Yang's inequality or B(z is extremal for Denjoy's conjecture. A combination of these two approaches is also discussed.

  5. Extinction efficiency of "elastic-sheet" beams by a cylindrical (viscous) fluid inclusion embedded in an elastic medium and mode conversion—Examples of nonparaxial Gaussian and Airy beams

    Science.gov (United States)

    Mitri, F. G.

    2016-10-01

    Stemming from the law of the conservation of energy in an elastic medium, this work extends the scope of the previous analysis for a scatterer immersed in a nonviscous liquid [F. G. Mitri, Ultrasonics 62, 20-26 (2015)] to the case of a (viscous) fluid circular cylinder cross-section encased in a homogeneous, isotropic, elastic matrix. Analytical expressions for the absorption, scattering, and extinction efficiencies (or cross-sections) are derived for "elastic-sheets" (i.e., finite beams in 2D propagating in elastic media) of arbitrary wavefront, in contrast to the ideal case of plane waves of infinite extent. The mathematical expressions are formulated in generalized partial-wave series expansions in cylindrical coordinates involving the beam-shape coefficients of finite elastic-sheet beams with arbitrary wavefront, and the scattering coefficients of the fluid cylinder encased in the elastic matrix. The analysis shows that in elastodynamic scattering, both the scattered L-wave as well as the scattered T-wave contribute to the time-averaged scattered efficiency (or power). However, the extinction efficiency only depends on the scattering coefficients characterizing the same type (L or T) as the incident wave. Numerical computations for the (non-dimensional energy) efficiency factors such as the absorption, scattering, and extinction efficiencies of a circular cylindrical viscous fluid cavity embedded in an elastic aluminum matrix are performed for nonparaxial focused Gaussian and Airy elastic-sheet beams with arbitrary longitudinal and transverse normally-polarized (shear) wave incidences in the Rayleigh and resonance regimes. A series of elastic resonances are manifested in the plots of the efficiencies as the non-dimensional size parameters for the L- and T-waves are varied. As the beam waist for the nonparaxial Gaussian beam increases, the plane wave result is recovered, while for a tightly focused wavefront, some of the elastic resonances can be suppressed

  6. Centroids computation and point spread function analysis for reverse Hartmann test

    Science.gov (United States)

    Zhao, Zhu; Hui, Mei; Liu, Ming; Dong, Liquan; Kong, Linqqin; Zhao, Yuejin

    2017-03-01

    This paper studies the point spread function (PSF) and centroids computation methods to improve the performance of reverse Hartmann test (RHT) in poor conditions, such as defocus, background noise, etc. In the RHT, we evaluate the PSF in terms of Lommel function and classify it as circle of confusion (CoC) instead of Airy disk. Approximation of a CoC spot with Gaussian or super-Gaussian profile to identify its centroid forms the basis of centroids algorithm. It is also effective for fringe pattern while the segmental fringe is served as a 'spot' with an infinite diameter in one direction. RHT experiments are conducted to test the fitting effects and centroiding performances of the methods with Gaussian and super-Gaussian approximations. The fitting results show that the super-Gaussian obtains more reasonable fitting effects. The super-Gauss orders are only slightly larger than 2 means that the CoC has a similar profile with Airy disk in certain conditions. The results of centroids computation demonstrate that when the signal to noise ratio (SNR) is falling, the centroid computed by super-Gaussian method has a less shift and the shift grows at a slower pace. It implies that the super-Gaussian has a better anti-noise capability in centroid computation.

  7. Partition functions of 3d $\\hat D$-quivers and their mirror duals from 1d free fermions

    CERN Document Server

    Assel, Benjamin; Felix, Jan

    2015-01-01

    We study the matrix models calculating the sphere partition functions of 3d gauge theories with $\\mathcal{N}=4$ supersymmetry and a quiver structure of a $\\hat D$ Dynkin diagram (where each node is a unitary gauge group). As in the case of necklace ($\\hat A $) quivers, we can map the problem to that of free fermion quantum mechanics whose complicated Hamiltonian we find explicitly. Many of these theories are conjectured to be dual under mirror symmetry to certain unitary linear quivers with extra Sp nodes or antisymmetric hypermultiplets. We show that the free fermion formulations of such mirror pairs are related by a linear symplectic transformation. We then study the large N expansion of the partition function, which as in the case of the $\\hat A$-quivers is given to all orders in 1/N by an Airy function. We simplify the algorithm to calculate the numerical coefficients appearing in the Airy function and evaluate them for a wide class of $\\hat D$-quiver theories.

  8. Semilocal density functional theory with correct surface asymptotics

    Science.gov (United States)

    Constantin, Lucian A.; Fabiano, Eduardo; Pitarke, J. M.; Della Sala, Fabio

    2016-03-01

    Semilocal density functional theory is the most used computational method for electronic structure calculations in theoretical solid-state physics and quantum chemistry of large systems, providing good accuracy with a very attractive computational cost. Nevertheless, because of the nonlocality of the exchange-correlation hole outside a metal surface, it was always considered inappropriate to describe the correct surface asymptotics. Here, we derive, within the semilocal density functional theory formalism, an exact condition for the imagelike surface asymptotics of both the exchange-correlation energy per particle and potential. We show that this condition can be easily incorporated into a practical computational tool, at the simple meta-generalized-gradient approximation level of theory. Using this tool, we also show that the Airy-gas model exhibits asymptotic properties that are closely related to those at metal surfaces. This result highlights the relevance of the linear effective potential model to the metal surface asymptotics.

  9. Functional

    Directory of Open Access Journals (Sweden)

    Fedoua Gandia

    2014-07-01

    Full Text Available The study was carried out to investigate the effects of inhaled Mg alone and associated with F in the treatment of bronchial hyperresponsiveness. 43 male Wistar rats were randomly divided into four groups and exposed to inhaled NaCl 0.9%, MeCh, MgSO4 and MgF2. Pulmonary changes were assessed by means of functional tests and quantitative histological examination of lungs and trachea. Results revealed that delivery of inhaled Mg associated with F led to a significant decrease of total lung resistance better than inhaled Mg alone (p < 0.05. Histological examinations illustrated that inhaled Mg associated with F markedly suppressed muscular hypertrophy (p = 0.034 and bronchoconstriction (p = 0.006 in MeCh treated rats better than inhaled Mg alone. No histological changes were found in the trachea. This study showed that inhaled Mg associated with F attenuated the main principle of the central components of changes in MeCh provoked experimental asthma better than inhaled Mg alone, potentially providing a new therapeutic approach against asthma.

  10. Thermo-Electro-Mechanical Analysis of a Curved Functionally Graded Piezoelectric Actuator with Sandwich Structure

    Directory of Open Access Journals (Sweden)

    Liying Jiang

    2011-12-01

    Full Text Available In this work, the problem of a curved functionally graded piezoelectric (FGP actuator with sandwich structure under electrical and thermal loads is investigated. The middle layer in the sandwich structure is functionally graded with the piezoelectric coefficient g31 varying continuously along the radial direction of the curved actuator. Based on the theory of linear piezoelectricity, analytical solutions are obtained by using Airy stress function to examine the effects of material gradient and heat conduction on the performance of the curved actuator. It is found that the material gradient and thermal load have significant influence on the electroelastic fields and the mechanical response of the curved FGP actuator. Without the sacrifice of actuation deflection, smaller internal stresses are generated by using the sandwich actuator with functionally graded piezoelectric layer instead of the conventional bimorph actuator. This work is very helpful for the design and application of curved piezoelectric actuators under thermal environment.

  11. The Green function for the BFKL pomeron and the transition to DGLAP evolution

    Science.gov (United States)

    Kowalski, H.; Lipatov, L. N.; Ross, D. A.

    2014-06-01

    We consider the (process-independent) Green function for the BFKL equation with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the Airy equation. The unique Green function is obtained from a combination of its required ultraviolet behaviour compatible with asymptotic freedom and an infrared limit phase imposed by the non-perturbative sector of QCD. We show that at sufficiently large gluon transverse momenta the corresponding gluon density matches that of the DGLAP analysis, whereas for relatively small values of the gluon transverse momentum the gluon distribution is sensitive to the Regge poles, whose positions are determined both by the non-perturbative QCD dynamics and physics at large transverse momenta.

  12. The Green Function for the BFKL Pomeron and the Transition to DGLAP Evolution

    CERN Document Server

    Kowalski, Henri; Ross, Douglas

    2014-01-01

    We consider the (process-independent) Green function for the BFKL equation in the next-to-leading order approximation, with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the Airy equation. The unique Green function is obtained from a combination of its required ultraviolet behaviour compatible with asymptotic freedom and an infrared limit phase imposed by the non-perturbative sector of QCD. We show that at sufficiently large gluon transverse momenta the corresponding gluon density matches that of the DGLAP analysis, whereas for relatively small values of the gluon transverse momentum the gluon distribution is sensitive to the Regge poles, whose positions are determined both by the non-pertubative QCD dynamics and physics at large transverse momenta.

  13. 艾里光束的远场特性及其演化规律%Propagation characteristics in the far-field and evolution regular of Airy beam

    Institute of Scientific and Technical Information of China (English)

    程振; 楚兴春; 赵尚弘; 邓博于; 张曦文

    2015-01-01

    The propagation characteristics of Airy beam in the far-field were detailly studied, which start with the theoretical foundation, including the evolution process of intensity distribution, spot diameter and Power in the Bucket (PIB). The change regular of intensity distribution was investigated with the truncation factor a and the arbitrary scale in the transverse x0 and how do a and x0 influence the propagation Distance with Keeping Non-diffraction (DKNd), the Distance in which the Evolution became similar Guassian(DEG) and Self-bending Degree(SbD). The research shows that in the evolution process of intensity distribution which transforms into similar Guassian, the DKNd, DEG and SbD increase with the increase of x0, the DKNd and DEG decrease with the increase of a and a has no effect on SbD. The evolution regular of spot diameter and PIB was also researched. The research shows that the spot diameter fistly remain unchanged and then increases, PIB firstly decreases, then increases and is 0.76 finally in the propagation progress under different values of a.%从艾里光束的理论基础出发,详细研究了艾里光束的远场传输特性,包括场强分布、光斑直径和桶中功率(Power in the Bucket,PIB)的演化过程.探讨了场强分布随截断因子a和任意横向刻度x0的变化规律,以及a和x0对艾里光束保持无衍射性质传输的距离 (Distance with Keeping Non-diffraction,DKNd)、演化成类高斯分布的距离(Distance in which the Evolution became similar Guassian, DEG)和自弯曲程度(Self-bending Degree,SbD)的影响.研究发现:场强分布在演化成类高斯分布过程中,DKNd、DEG和SbD都随着x0的增大而增大,DKNd和DEG随a的增大而减小,a对SbD无影响.研究了艾里光束的光斑直径和PIB的演化规律, 发现在a值不同的情况下,在传输过程中光斑直径先保持不变后增加,PIB先减小后增大,最终等于0.76.

  14. A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons

    CERN Document Server

    Roy, Sabyasachi

    2013-01-01

    Nambu-Goto action of bosonic string predicts the quark-antiquark potential to be $ V (r) = \\frac{\\gamma}{r} + \\sigma r +\\mu_0 $. The coefficient$ \\gamma = - \\frac{\\pi(d-2)}{24} $ is the universal L\\"{u}scher coefficient of the L\\"uscher term $ \\frac{\\gamma}{r}$, which depends upon the space-time dimension `d'. We take linear term in potential as parent and L\\"uscher term as perturbation for the generation of wave function for meson in d space-time dimension.The wave function comes out in terms of Airy's infinite polynomial series. With this wave function in higher dimension, we then study the Isgur-Wise function for heavy-light mesons and its derivatives.

  15. Rowan Gibson julgustab riskima / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2007-01-01

    Innovatsioonistrateeg Rowan Gibsoni ümbermõtlemise sõnum on organisatsioone ja inimesi üle maailma julgustanud tegema raskesti läbiviidavaid ja ohtlikke käike, ta keskendub ümbermõtlemise ärile uues, innovaatilises majanduses. Vt. samas: Innovaatik võidab alati. Tallinnas Ülemiste City kontseptsiooniga tutvudes väitis R. Gibson, et see vastab tema nägemusele nüüdisaegsest ärikeskkonnast

  16. Mesipuu talu seitse palet / Airi Hallik

    Index Scriptorium Estoniae

    Hallik, Airi, 1975-

    2007-01-01

    Kanepi vallas asuvast Maie ja Hennu Krukovi Mesipuu talust, kus saavad kokku põline elamisviis ja uued inspireerivad ideed, mis ulatuvad internetipunktist Rehepapi päevadeni. Elamu renoveerimisest, saun-puhkemaja ehitamisest. Talu meened on kujundanud kunstnik Epp Margna. 15 värv. ill

  17. Feminism on kõikidele / Airi Triisberg

    Index Scriptorium Estoniae

    Triisberg, Airi, 1982-

    2009-01-01

    Iisraeli naiskunstnike näitus "Naised muudavad maailma" Tallinna Kunstihoones 13. detsembrini 2009. Kuraatorid Reet Varblane ja Shula Keshet. Pikemalt Shula Kesheti fotoseeriast "Naised muudavad maailma", Ester Almo fotoseeriast "Nimetu", Vered Nissimi fotodest "Venuse pilk. Autoportree" ja "Venuse pilk. Ema"

  18. Ühe jalaga Hollywoodis / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2005-01-01

    USAs elava filmirežissööri Jaanus Silla initsiatiivil Eestist ja Eesti filmitegijatest huvitunud Hollywoodi produtsendi Anne Marie Gillen'i ettepanekud Eesti filmirahastajatele. Lisatud andmed Jaanus Silla ja Anne Marie Gilleni kohta ning Ilmar Raagi, Tiina Loki ja Peeter Rebase kommentaarid

  19. Tallinna Sadama kallis kingitus / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2006-01-01

    Riho Rasmann ja Jaan Toots sõlmisid Tallinna Sadama juhtidega lepingu, mis võimaldab transiidiärimehel Sandu Hubanil ja Vene transiidigigandil Severstalil küsida ettevõttelt üle 30 miljoni krooni. Vt. samas: Sandu Huban ja Severstal said pihta tulusale lepingule; Sandaal ja Lipinski teevad ühisäri juba kümmekond aastat; Riigikontroll taunib maa tasuta äraandmist; Sandu Hubani kuldne tehing. Kommenteerib Jaan Toots

  20. Asymptotics of bivariate generating functions with algebraic singularities

    Science.gov (United States)

    Greenwood, Torin

    Flajolet and Odlyzko (1990) derived asymptotic formulae the coefficients of a class of uni- variate generating functions with algebraic singularities. Gao and Richmond (1992) and Hwang (1996, 1998) extended these results to classes of multivariate generating functions, in both cases by reducing to the univariate case. Pemantle and Wilson (2013) outlined new multivariate ana- lytic techniques and used them to analyze the coefficients of rational generating functions. After overviewing these methods, we use them to find asymptotic formulae for the coefficients of a broad class of bivariate generating functions with algebraic singularities. Beginning with the Cauchy integral formula, we explicity deform the contour of integration so that it hugs a set of critical points. The asymptotic contribution to the integral comes from analyzing the integrand near these points, leading to explicit asymptotic formulae. Next, we use this formula to analyze an example from current research. In the following chapter, we apply multivariate analytic techniques to quan- tum walks. Bressler and Pemantle (2007) found a (d + 1)-dimensional rational generating function whose coefficients described the amplitude of a particle at a position in the integer lattice after n steps. Here, the minimal critical points form a curve on the (d + 1)-dimensional unit torus. We find asymptotic formulae for the amplitude of a particle in a given position, normalized by the number of steps n, as n approaches infinity. Each critical point contributes to the asymptotics for a specific normalized position. Using Groebner bases in Maple again, we compute the explicit locations of peak amplitudes. In a scaling window of size the square root of n near the peaks, each amplitude is asymptotic to an Airy function.

  1. Hanschmidt : teeme samu asju suuremate numbritega / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2006-01-01

    Tallink ostis Silja Line'i. Vt. samas: Soomlased elavad naabrite suurtehingule kaasa; Martin Hanson. Vanhanen: Tallinki edu sõltub majandusest; Vähi: Tallink kindlasti suurim üllataja Eesti ettevõtluses

  2. Pulse Capability of the AIRI Lead Chloride Electrode.

    Science.gov (United States)

    1979-11-01

    au PbC12 constituaient un autre grave inconvenient par rapport aux filectrodes au chiorure d’argent. Les glectrodes au chlorure de plomb n’offraient...aucun avantage r6el par rapport aux ilectrodes au chlorure d’argent. Tout travail ult~rieur portent sur la mise en point d’Alectrodes au chlorure de...source now in use is a seawater-activated battery in which the anode is a magnesium alloy and the cathode a silver chloride electrode. These batteries

  3. Jäätmekeskus õgib riigi miljoneid / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2007-01-01

    Riik ehitas AS-ile Epler & Lorenz 23,2 miljoni kroonise ohtlike jäätmete kogumiskeskuse hoone, makstes järgnevatel aastatel veel miljoneid kroone lisaks. Vt. samas: Riik kuldab Epler & Lorenzit ka tulevikus; Ettevõtte CV. Kommenteerivad Rein Randver ja Heiki Kranich

  4. Intellektuaalne luksus-spaa Van Abbemuseumis / Rael Artel, Airi Triisberg

    Index Scriptorium Estoniae

    Artel, Rael, 1980-

    2008-01-01

    Eindhovenis Van Abbemuseumis 2007. a. lõpul toimunud kolmenädalasest rahvusvahelisest kohtumisest "Be[com]ing Dutch Caucus". Projekt keskendus rahvusliku identiteedi problemaatikale kaasaegses globaalses ühiskonnas. Esinejatest, ettekannetest

  5. Naiskodukaitse keskendub väljaõppe lihvimisele / Airi Neve

    Index Scriptorium Estoniae

    Neve, Airi

    2008-01-01

    Naiskodukaitse esinaine annab ülevaate organisatsiooni hetkeseisust: suurenenud on liikmeskond, tööd alustasid palgalised instruktorid, valmis baasväljaõppe kursuse kava, erialaväljaõppe täiustamine, projektid naiskodukaitse tegevuse jäädvustamiseks

  6. Kas Bombardier lennutab Estonian Airi üles? / Henrik Ilves

    Index Scriptorium Estoniae

    Ilves, Henrik

    2011-01-01

    Estonian Air on saanud oma käsutusse kaks kolmest ostetud lennukist Bombardier CRJ900, millega saavutatakse Boeing 737-ga võrreldes oluline kütuse kokkuhoid. 20 aastaga on müüdud CRJ-seeria lennukeid juba üle 1700

  7. Terved mullad - terveks eluks / kokkuvõtte tegi Airi Vetemaa

    Index Scriptorium Estoniae

    2015-01-01

    ÜRO on kuulutanud 2015. aasta rahvusvaheliseks mulla-aastaks. Meie mullad on kogu inimeksistentsi aluseks - see sisuliselt taastumatu loodusvara annab 95% meie toidust. Eesti aasta muld 2015 on paepealne muld

  8. Distsiplinaarsest, aporeetilisest ning mittedistsiplinaarsest mõtlemisest / Airi Liimets

    Index Scriptorium Estoniae

    Liimets, Airi, 1959-

    2009-01-01

    Lähtudes Michel Foucault’ mõtetest diskursuse, kõnelevate häälte, filosoofia ja selle alguse kohta, küsib autor, missugusel viisil oleks võimalik mõelda muusikast ja muusikapedagoogikast, ja toob esile kolm mõtlemisviisi ning vaatleb neid teaduse vaatepunktist rõhuasetusega muusikapedagoogikal ja muusikal

  9. Kalle Norberg õpetab eestlasi kasutama Luksemburgi pangasaladuste kaitset / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2004-01-01

    Firma Luxembourg Financial Service filiaal Eestis hakkab pakkuma privaatpanganduse teenust. Vt. samas intervjuud Kalle Norbergiga. Kommenteerib Tiit Vähi. Lisad: Luxembourg Financial Services; Luksemburgi ärikeskkond; Info lekib

  10. Linnar Viik kaotas lahingu IKEA omanikule / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2005-01-01

    Linnar Viik valiti 50 kõige mõjukama eurooplase hulka ning kandideeris Euroopa aasta ärijuhi tiitlile, tiitli pälvis IKEA asutaja Ingvar Kamprad. Kõige edukama eurooplase tiitli sai Türgi peaminister Recep Tayyip Erdogan

  11. MBO rahastamisel on Eestis probleemiks pangalaenud / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2002-01-01

    Tehingust, mille käigus Baltikumi juhtiv tööstusmasinate müüja ja vahendaja Thomesto Machine Agencies tippjuhtkond ostis koostöös Baltcapiga 73% TMA aktsiatest. Skeem ja tabel: TMA MBO struktuur; mõned Thom Tehnika näitajad. Lisad: Pangad on MBO rahastamisel ettevaatlikud; TMA Eestis; TMA käive on ligi 20 miljonit eurot

  12. Gruusia magnet tõmbab eestlasi / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2006-01-01

    Eesti ärimeeste ja poliitikute huvid ja tegevus Gruusias. Vt. samas: Bathumi sadam otsib Eestist operaatoreid; Vomm toob Eestisse õige Kindzmarauli; Helenius investeerib Gruusia kinnisvarasse; Eestlased ostsid Gruusias veinitehase

  13. Trigon Capital sukeldub Ukraina piimaärisse / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2005-01-01

    Investeerimisfirma Trigon Capital valis uueks investeeringute sihiks Ukraina piimatööstuse muutunud poliitilise kliima ja piimatöökvootide puudumise tõttu. Lisa: Kinnisvara. Horvaatia kinnisvaraäri

  14. Kauksi Ülle sai kanepise hame / Airi Hallik

    Index Scriptorium Estoniae

    Hallik, Airi, 1975-

    2008-01-01

    Kanepis avati raamatupäeval endise kirikumõisa maakivist ait, mille sise- ja välisseintel olid Toomas Kalve,.Epp Margna, Jaanus Nessleri, Evar Riitsaare ja Toomas Kuusingu tehtud pildid. Antiigiaidaks kujundatud hoone peremees Vaidu Vidil näitas dokumentaalfilme Kanepist. Peapreemia - kanepise hame - sai Kauksi Ülle, Toomas Kalve eripreemia Olavi Ruitlane

  15. Analytic methods for field induced tunneling in quantum wells with arbitrary potential profiles

    Indian Academy of Sciences (India)

    S Panda; B K Panda

    2001-06-01

    Electric field induced tunneling is studied in three different types of quantum wells by solving time-independent effective mass equation in analytic methods based on three different Airy function approaches. Comparison of different Airy function methods indicates that they are identical and connected to each other by the Breit–Wigner formula.

  16. Effect of different proportions of brea gum in the functional characteristics of wheat flour starch: impact on the physical quality of bread

    Directory of Open Access Journals (Sweden)

    Estela Patricia LÓPEZ

    2016-01-01

    Full Text Available The aim of this work was to study the changes induced by BG in the behaviour of wheat starch, and observe the influence of these variations on the quality of a basic white bread. The effect of four BG addition levels in the wheat flour functional characteristics (WAI, WSI, and pasting properties and bread quality (physical parameters, crumb grain structure, moisture and hardness was investigated. The highest levels of BG (1% and 2% decreased the peak viscosity, and increased the stability and setback of the flour. This was due to a lower gelatinization of the starch granules, caused by a competition for water between the hydrocolloid and starch. These changes influenced the bread quality. The loaves added with 1% and 2% of BG presented smaller alveoli: this resulted in more compact, hard and less airy crumbs. Nevertheless, the moisture of the samples at 1% and 2% of added gum was higher than the control bread. However, the incorporation of BG at 0.5% did not affect the pasting parameters and bread quality, but increased moisture of crumb, so this concentration would be most recommended for baking, since higher humidity could favour the shelf- life of the product.

  17. Functional Boxplots

    KAUST Repository

    Sun, Ying

    2011-01-01

    This article proposes an informative exploratory tool, the functional boxplot, for visualizing functional data, as well as its generalization, the enhanced functional boxplot. Based on the center outward ordering induced by band depth for functional data, the descriptive statistics of a functional boxplot are: the envelope of the 50% central region, the median curve, and the maximum non-outlying envelope. In addition, outliers can be detected in a functional boxplot by the 1.5 times the 50% central region empirical rule, analogous to the rule for classical boxplots. The construction of a functional boxplot is illustrated on a series of sea surface temperatures related to the El Niño phenomenon and its outlier detection performance is explored by simulations. As applications, the functional boxplot and enhanced functional boxplot are demonstrated on children growth data and spatio-temporal U.S. precipitation data for nine climatic regions, respectively. This article has supplementary material online. © 2011 American Statistical Association.

  18. Functionalized Calixpyrroles

    DEFF Research Database (Denmark)

    Vargas-Zúñiga, Gabriela; Sessler, Jonathan; Bähring, Steffen

    2016-01-01

    as the extraction and transport of anionic species and ion pairs including cesium halide and sulfate salts. It is divided into seven sections. The first section describes the synthetic methods employed to functionalized calix[4]pyrrole. The second section focuses on functionalized calix[4]pyrroles that display...... enhanced anion binding properties compared to the non-functionalized parent system, octamethylcalix[4]pyrrole. The use of functionalized calix[4]pyrroles containing a fluorescent group or functionalized calix[4]pyrroles as building blocks for the preparation of stimulus-responsive materials is discussed...... and the eventual development of therapeutics that function via the transport of anions across cell membranes, are discussed....

  19. Entire functions

    CERN Document Server

    Markushevich, A I

    1966-01-01

    Entire Functions focuses on complex numbers and the algebraic operations on them and the basic principles of mathematical analysis.The book first elaborates on the concept of an entire function, including the natural generalization of the concept of a polynomial and power series. The text then takes a look at the maximum absolute value and the order of an entire function, as well as calculations for the coefficients of power series representing a given function, use of integrals, and complex numbers. The publication elaborates on the zeros of an entire function and the fundamen

  20. Functionalized amphipols

    DEFF Research Database (Denmark)

    Della Pia, Eduardo Antonio; Hansen, Randi Westh; Zoonens, Manuela

    2014-01-01

    Amphipols are amphipathic polymers that stabilize membrane proteins isolated from their native membrane. They have been functionalized with various chemical groups in the past years for protein labeling and protein immobilization. This large toolbox of functionalized amphipols combined with their......Amphipols are amphipathic polymers that stabilize membrane proteins isolated from their native membrane. They have been functionalized with various chemical groups in the past years for protein labeling and protein immobilization. This large toolbox of functionalized amphipols combined...... surfaces for various applications in synthetic biology. This review summarizes the properties of functionalized amphipols suitable for synthetic biology approaches....

  1. Lightness functions

    DEFF Research Database (Denmark)

    Campi, Stefano; Gardner, Richard; Gronchi, Paolo;

    2012-01-01

    Variants of the brightness function of a convex body K in n-dimensional Euclidean are investigated. The Lambertian lightness function L(K; v , w ) gives the total reflected light resulting from illumination by a light source at infinity in the direction w that is visible when looking...... in the direction v . The partial brightness function R( K ; v , w ) gives the area of the projection orthogonal to v of the portion of the surface of K that is both illuminated by a light source from the direction w and visible when looking in the direction v . A class of functions called lightness functions...... is introduced that includes L(K;.) and R(K;.) as special cases. Much of the theory of the brightness function like uniqueness, stability, and the existence and properties of convex bodies of maximal and minimal volume with finitely many function values equal to those of a given convex body, is extended...

  2. POWER FUNCTIONS

    Institute of Scientific and Technical Information of China (English)

    王雷

    2008-01-01

    <正>A power function of degree n is a function of the form f(x)=ax~n.For large n,it appears that the graph coincide with the x-axis near the origin,but it does not;the graph actually touches the x—axis only at the origin.

  3. Stability Functions

    CERN Document Server

    Burns, Daniel; Wang, Zuoqin

    2008-01-01

    In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to problems in toric geometry. In particular we show how one can use these techniques to recover results of Burns-Guillemin-Uribe and Shiffman-Tate-Zelditch on asymptotic properties of sections of holomorphic line bundles over toric varieties.

  4. CARDINAL FUNCTIONS AND INTEGRAL FUNCTIONS

    OpenAIRE

    MIRCEA E. ŞELARIU; FLORENTIN SMARANDACHE; MARIAN NIŢU

    2015-01-01

    This paper presents the correspondences of the eccentric mathematics of cardinal and integral functions and centric mathematics, or ordinary mathematics. Centric functions will also be presented in the introductory section, because they are, although widely used in undulatory physics, little known.

  5. Functional Unparsing

    DEFF Research Database (Denmark)

    Danvy, Olivier

    1998-01-01

    A string-formatting function such as printf in C seemingly requires dependent types, because its control string determines the rest of its arguments. We show how changing the representation of the control string makes it possible to program printf in ML (which does not allow dependent types......). The result is well typed and perceptibly more efficient than the corresponding library functions in Standard ML of New Jersey and in Caml....

  6. Functional unparsing

    DEFF Research Database (Denmark)

    Danvy, Olivier

    2000-01-01

    A string-formatting function such as printf in C seemingly requires dependent types, because its control string determines the rest of its arguments. Examples: formula here We show how changing the representation of the control string makes it possible to program printf in ML (which does not allow...... dependent types). The result is well typed and perceptibly more efficient than the corresponding library functions in Standard ML of New Jersey and in Caml....

  7. interval functions

    Directory of Open Access Journals (Sweden)

    J. A. Chatfield

    1978-01-01

    Full Text Available Suppose N is a Banach space of norm |•| and R is the set of real numbers. All integrals used are of the subdivision-refinement type. The main theorem [Theorem 3] gives a representation of TH where H is a function from R×R to N such that H(p+,p+, H(p,p+, H(p−,p−, and H(p−,p each exist for each p and T is a bounded linear operator on the space of all such functions H. In particular we show that TH=(I∫abfHdα+∑i=1∞[H(xi−1,xi−1+−H(xi−1+,xi−1+]β(xi−1+∑i=1∞[H(xi−,xi−H(xi−,xi−]Θ(xi−1,xiwhere each of α, β, and Θ depend only on T, α is of bounded variation, β and Θ are 0 except at a countable number of points, fH is a function from R to N depending on H and {xi}i=1∞ denotes the points P in [a,b]. for which [H(p,p+−H(p+,p+]≠0 or [H(p−,p−H(p−,p−]≠0. We also define an interior interval function integral and give a relationship between it and the standard interval function integral.

  8. Bessel functions

    CERN Document Server

    Nambudiripad, K B M

    2014-01-01

    After presenting the theory in engineers' language without the unfriendly abstraction of pure mathematics, several illustrative examples are discussed in great detail to see how the various functions of the Bessel family enter into the solution of technically important problems. Axisymmetric vibrations of a circular membrane, oscillations of a uniform chain, heat transfer in circular fins, buckling of columns of varying cross-section, vibrations of a circular plate and current density in a conductor of circular cross-section are considered. The problems are formulated purely from physical considerations (using, for example, Newton's law of motion, Fourier's law of heat conduction electromagnetic field equations, etc.) Infinite series expansions, recurrence relations, manipulation of expressions involving Bessel functions, orthogonality and expansion in Fourier-Bessel series are also covered in some detail. Some important topics such as asymptotic expansions, generating function and Sturm-Lioville theory are r...

  9. POLYNOMIAL FUNCTIONS

    Institute of Scientific and Technical Information of China (English)

    王雷

    2008-01-01

    <正>Polynomial functions are among the sim- plest expressions in algebra.They are easy to evaluate:only addition and repeated multipli- cation are required.Because of this,they are often used to approximate other more compli-

  10. Functional dyspepsia

    NARCIS (Netherlands)

    Kleibeuker, JH; Thijs, JC

    2004-01-01

    Purpose of review Functional dyspepsia is a common disorder, most of the time of unknown etiology and with variable pathophysiology. Therapy has been and still is largely empirical. Data from recent studies provide new clues for targeted therapy based on knowledge of etiology and pathophysiologic me

  11. Functional Organometallics

    Institute of Scientific and Technical Information of China (English)

    K.H.DTZ

    2007-01-01

    1 Results The lecture will address aspects of functional organometallics related to the development of novel organometallic materials.In chromium complexes of fused arenes-regio-and diastereoselectively accessible by chromium-templated benzannulation of arylcarbenes by alkynes[1]-a haptotropic migration of the chromium fragment along the π-face of fused arenes is controlled by both thermodynamics and the substitution pattern of the arene and the metal coligand sphere,and can be applied towards an organo...

  12. Lung function

    Institute of Scientific and Technical Information of China (English)

    2005-01-01

    2005200 The effect of body position changes on lung function, lung CT imaging and pathology in an oleic acid induced acute lung injury model. JI Xin-ping (戢新平), et al. Dept Emergency, 1st Affili Hosp, China Med Univ, Shenyang 110001. Chin J Tuberc Respir Dis, 2005;28(1) :33-36. Objective: To study the effect of body position changes on lung mechanics, oxygenation, CT images and pathology in an oleic acid-induced acute lung injury (ALl) model. Methods: The study groups con-

  13. Functional metamirrors

    CERN Document Server

    Asadchy, V S; Vehmas, J; Tretyakov, S A

    2014-01-01

    Conventional mirrors obey Snell's reflection law: a plane wave is reflected as a plane wave, at the same angle. To engineer spatial distributions of fields reflected from a mirror, one can either shape the reflector (for example, creating a parabolic reflector) or position some phase-correcting elements on top of a mirror surface (for example, designing a reflectarray antenna). Here we show, both theoretically and experimentally, that full-power reflection with general control over reflected wave phase is possible with a single-layer array of deeply sub-wavelength inclusions. These proposed artificial surfaces, metamirrors, provide various functions of shaped or nonuniform reflectors without utilizing any mirror. This can be achieved only if the forward and backward scattering of the inclusions in the array can be engineered independently, and we prove that it is possible using electrically and magnetically polarizable inclusions. The proposed sub-wavelength inclusions possess desired reflecting properties at...

  14. Functions of bounded variation

    OpenAIRE

    Lind, Martin

    2006-01-01

    The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined.

  15. Relations between Lipschitz functions and convex functions

    Institute of Scientific and Technical Information of China (English)

    RUAN Yingbin

    2005-01-01

    We discuss the relationship between Lipschitz functions and convex functions.By these relations, we give a sufficient condition for the set of points where Lipschitz functions on a Hilbert space is Frechet differentiable to be residual.

  16. Gaussian Functions, Γ-Functions and Wavelets

    Institute of Scientific and Technical Information of China (English)

    蔡涛; 许天周

    2003-01-01

    The relations between Gaussian function and Γ-function is revealed first at one-dimensional situation. Then, the Fourier transformation of n-dimensional Gaussian function is deduced by a lemma. Following the train of thought in one-dimensional situation, the relation between n-dimensional Gaussian function and Γ-function is given. By these, the possibility of arbitrary derivative of an n-dimensional Gaussian function being a mother wavelet is indicated. The result will take some enlightening role in exploring the internal relations between Gaussian function and Γ-function as well as in finding high-dimensional mother wavelets.

  17. Kuidas mõjutab uus meedia kultuuri ja sotsiaalseid suhteid / Airi-Alina Allaste

    Index Scriptorium Estoniae

    Allaste, Airi-Alina, 1967-

    2008-01-01

    Infotehnoloogia ja interneti mõjust kultuurile ja sotsiaalsetele suhetele ühiskonnas. Autoritaarses ja suletud ühiskonnas on veebi võimalused kaasa aidanud selle avanemisele ja demokratiseerumisele ning negatiivseid mõjusid ei ole põhjust üle dramatiseerida

  18. Internet - kas vaimse tervise edendamise suurepärane tööriist? / Airi Mitendorf

    Index Scriptorium Estoniae

    Mitendorf, Airi, 1974-

    2012-01-01

    Üleeuroopalise terviseprogrammi projekti SUPREME (Suicide Prevention by Internet and Media Based Mental Health Promotion) raames kaardistati veebileheküljed, mis avanesid märksõnadele suitsiid ja enesetapp

  19. Let's Refuse to Be What We Are (Supposed to Be)! / Airi Triisberg

    Index Scriptorium Estoniae

    Triisberg, Airi, 1982-

    2010-01-01

    Rahvusvaheline kaasaegse kunsti näitus "Räägime rahvuslusest! Ideoloogia ja identiteedi vahel" ("Let's Talk About Nationalism! Between Ideology and Identity") Kumu Kunstimuuseumis 5.02.-25.04.2010. Kuraator Rael Artel. Katarina Zdjelari (Rotterdam), Tanja Muravskaja (Eesti), Jens Haaningu (Kopenhaagen), Artur Żmijewski (Varssavi), Joanna Rajkowska (Varssavi) ja John Phillip Mäkineni (Helsingi) töödest näitusel

  20. SAS paneb Estonian Airi kiirmüüki / Gert D. Hankewitz

    Index Scriptorium Estoniae

    Hankewitz, Gert D.

    2009-01-01

    Majandusraskustes lennufirma SAS kavatseb loobuda osalustest kõigis lennufirmades, mis ei sobi kokku nende uue tegevuskavaga. Majandus- ja kommunikatsiooniminister Juhan Parts arvab, et riik peaks leidma Estonian Airile kodumaised partnerid

  1. Lillikate suvi on Nava Lava päralt / Airi Hallik

    Index Scriptorium Estoniae

    Hallik, Airi, 1975-

    2008-01-01

    Lõuna-Eestis Lilli külas asuva Nava talu Nava Lava suvistest üritustest. Olulisim ettevõtmine oli talu peremehe Jaak Kõdari talu ajaloost kirjutatud näitemängu "Jukra" lavale toomine. Tänavu oli talu aidas avatud ka Lembit Sootsi maalinäitus

  2. Rõõmus jõulukoosviibimine New Yorgi Eesti Majas / Airi Vaga ; fotod: Peeter Teedla

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2006-01-01

    New Yorgi Eesti Haridusseltsi korraldusel, tervitused ütles seltsi esimees Peeter Teedla, järgnes palvus, sõnavõtt ja New Yorgi Eesti Naiskoori esinemine, õhtu solist oli sopran Mariliina Vilimaa.

  3. Ühe minuti loeng: videoformaat, mis tuli ja võitis / Airi Ilisson-Cruz

    Index Scriptorium Estoniae

    Ilisson-Cruz, Airi, 1980-

    2014-01-01

    Tallinna Ülikooli "Ühe Minuti Loengu" videoklippide sarjast, mis võitis Suhtekorralduse Auhind 2013 hariduse eripreemia. Igas klipis arutleb teadlane lihtsas ja loogilises sõnastuses ühe konkreetse, sageli üllatusmomendiga fakti üle. Videoklippide sari kui sisuturunduse näide

  4. Austraalia peaminister jagas eelarve ülejäägid rahvale / Airi Ilisson-Cruz

    Index Scriptorium Estoniae

    Ilisson-Cruz, Airi, 1980-

    2009-01-01

    Austraalia peaminister Kevin Rudd'i majanduskriisiga võitlemise plaanist, mis nägi ette 2008. aasta detsembris ühiskonna vaesemate kihtide, pensionäride, noorte ja lastega perede rahalist toetamist riigi eelarveülejäägist, ka 2009. aastal jätkub toetuste jagamine. Graafik: Töötus Austraalias viimastel aastatel

  5. Two new cembranoids from the leaves of Croton longissimus Airy Shaw.

    Science.gov (United States)

    Kawakami, Susumu; Matsunami, Katsuyoshi; Otsuka, Hideaki; Lhieochaiphant, Duangporn; Lhieochaiphant, Sorasak

    2013-04-01

    Two new cembrane-type diterpenoids (1 and 2) along with five known compounds (3-7) were isolated from leaves of Croton longissimus collected in Thailand. Their structures were elucidated from spectroscopic evidence and compound 4 was found by HPLC analysis to be identical to oblongionoside B-a compound isolated from Croton oblongifolius-including the absolute configuration at the C-9 position.

  6. Briti ekspert : euroliidus kaob Eestist tööpuudus / Michael Richardson ; interv. Airi Ilisson

    Index Scriptorium Estoniae

    Richardson, Michael

    2003-01-01

    Eestis Suurbritannia tööreformi tutvustava töö- ja sotsiaalnõuniku sõnul on Suurbritannias peaaegu kadunud pikaajaline töötus noorte hulgas, vanematest inimestest on vaid üksikud tööta kauem kui aasta. Vt. samas: Kes on Michael Richardson?

  7. Alternatiivne noorsookultuur - võitjate või kaotajate kultuur? / Airi-Alina Allaste

    Index Scriptorium Estoniae

    Allaste, Airi-Alina, 1967-

    2001-01-01

    Lühiülevaade reivikultuuri tekkimisest ja arenemisest Eestis ning nn. klubikultuurist - tavanormidest erinevast seksuaalkäitumisest ning tolerantsest suhtumisest uimastite tarbimisse. Artikkel põhineb kvalitatiivsel uurimusel, aastatel 1998-1999 läbi viidud avatud intervjuudel ja osaleval observatsioonil

  8. No Time for the "Airy Fairy": Teacher Perspectives on Creative Writing in High Stakes Environments

    Science.gov (United States)

    Frawley, Emily

    2014-01-01

    This paper discusses a research project undertaken to examine teachers' perceptions of creative writing in the senior English curriculum. It was a case study undertaken in a state high school in Melbourne under the Victorian Certificate of Education (VCE). The project investigated the challenges facing English teachers as they prepare students to…

  9. Sub-Airy disk angular resolution with high dynamic range in the near-infrared

    Directory of Open Access Journals (Sweden)

    Richichi A.

    2011-07-01

    Full Text Available Lunar occultations (LO are a simple and effective high angular resolution method, with minimum requirements in instrumentation and telescope time. They rely on the analysis of the diffraction fringes created by the lunar limb. The diffraction phenomen occurs in space, and as a result LO are highly insensitive to most of the degrading effects that limit the performance of traditional single telescope and long-baseline interferometric techniques used for direct detection of faint, close companions to bright stars. We present very recent results obtained with the technique of lunar occultations in the near-IR, showing the detection of companions with very high dynamic range as close as few milliarcseconds to the primary star. We discuss the potential improvements that could be made, to increase further the current performance. Of course, LO are fixed-time events applicable only to sources which happen to lie on the Moon’s apparent orbit. However, with the continuously increasing numbers of potential exoplanets and brown dwarfs beign discovered, the frequency of such events is not negligible. I will list some of the most favorable potential LO in the near future, to be observed from major observatories.

  10. Eesti firmade külm suplus välismaal / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2005-01-01

    Elo Reiljani doktoritööst, milles on uuritud ettevõtete taandumist välisturgudelt. Viiest suuremast analüüsitud suurettevõttest. Lisad: Kuidas ettevõtted piiri tagant taandusid? Ettevõtete tollased esindajad liikumiste põhjustest. Diagrammid: Klementi; Sangar; Tarkon; Tarmeko; Ösel Foods

  11. Keeglist, joogiautomaatidest ja sotsiaalsest kapitalist / Robert Putnam ; interv. Airi-Alina Allaste

    Index Scriptorium Estoniae

    Putnam, Robert

    2006-01-01

    Tänapäeva üks mõjukam sotsiaaltedlane Robert Putnam, kes hiljuti esines Avatud Ühiskonna Foorumil "Sotsiaalne kapital muutuvas maailmas", sotsiaalse kapitali mõistest, siduva ja ühendava sotsiaalse kapitali omavahelistest suhtest. Lisa: Robert Putnam

  12. Eesti president Toomas H. Ilves Pennsylvania ülikooli ajakirjas / Airi Vaga

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2008-01-01

    University of Pennsylvania ajakirjas "The Pennsylvania Gazette" ilmunud artiklist "From Estonian Exile to Executive Office", autor Susan Frith - järjekordsest võimalusest tutvustada Eestit ja eestlasi USA ülikoolide kaudu

  13. Palga tõusuks jääb raha puudu / Airi Amtmann

    Index Scriptorium Estoniae

    Amtmann, Airi

    2008-01-01

    Paljud Raplamaa omavalitsused on probleemi ees, kuidas kindlustada pedagoogidele 22%-list palgatõusu. Arvamust avaldavad Vigala vallavanem Priit Kärsna, Käru vallavanem Elari Hiis, Rapla abivallavanem Imbi Kalberg, Kohila vallavanem Hillar Kalmet, Juuru vallavalitsuse haridus- ja kultuurispetsialist Aili Normak ja haridusministeeriumi nõunik Riho Raave

  14. Projekt OK-NET-ARABLE : mahetootmiseks vajalik teave tuleb tuua praktikuteni / Airi Vetemaa

    Index Scriptorium Estoniae

    Vetemaa, Airi

    2015-01-01

    OK-NET-ARABLE, mida võiks tõlkida kui põllukultuuride kasvatuse alast maheteabe võrgustikku, on ELi teadusrahastu Horisont 2020 projekt, mille eesmärk on vahendada innovaatilist ja traditsioonilist teavet mahetootjate, nõustajate ja teadlaste vahel, suurendamaks mahepõllukultuuride produktiivsust ja kvaliteeti üle Euroopa

  15. Estonian Airi üks variant on jätkata odavlennufirmana / Raigo Neudorf

    Index Scriptorium Estoniae

    Neudorf, Raigo

    2005-01-01

    Estonian Air on jõudnud olukorrani, kus tuleb valida, kas jätkata tegevust klassikalise lennufirmana või muutuda odavlennufirmade sarnaseks. Lisa: Paljud firmad otsivad oma õiget palet. Diagrammid

  16. Meri : tulevik on noorte kätes / Lennart Meri ; intervjueerinud Airi Ilisson

    Index Scriptorium Estoniae

    Meri, Lennart, 1929-2006

    2004-01-01

    Ekspresident Lennart Meri selgitab intervjuus, et ei kandideeri europarlamendi valimistel, räägib geenivaramust ja mälestusteraamatu kirjutamisest. Lennart Meri kohtus okupatsioonimuuseumis holokaustipäeval koolinoortega. Vt. samas: Õpilased meenutasid ülekohut

  17. Geometric Schr(o)dinger-Airy Flows on K(a)hler Manifolds

    Institute of Scientific and Technical Information of China (English)

    Xiao Wei SUN; You De WANG

    2013-01-01

    We define a class of geometric flows on a complete K(a)hler manifold to unify some physical and mechanical models such as the motion equations of vortex filament,complex-valued mKdV equations,derivative nonlinear Schr(o)dinger equations etc.Furthermore,we consider the existence for these flows from S1 into a complete K(a)hler manifold and prove some local and global existence results.

  18. Lauluarmastaja, võitleja, unustamatu sõber Oscar Uusima saadeti igaviku teedele / Airi Vaga

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2007-01-01

    järelehüüe EELK Bergen County koguduse nõukogu liikmele, koguduse revisjoni komisjoni esimehele, New Yorgi Eesti Meeskoori lauljale ja juhatuse esimehele, korporatsiooni Estica USA koondise esimehele ja abiesimehele Oscar Uusimale 24. 09. 1917 - 17. 07. 2007

  19. Tallinn loob koolimajade haldamiseks äriühingu / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2002-01-01

    Tallinna abilinnapea Rein Lang pakkus välja idee luua koolidele raha hankimiseks aktsiaselts Tallinna Koolimajad. Äriühingusse kuuluvad koolid saaksid pankadelt remondiks laenu, mille tagatiseks on remonditav koolimaja

  20. On quasinearly subharmonic functions

    OpenAIRE

    Dovgoshey, O.; Riihentaus, J.

    2016-01-01

    We recall the definition of quasinearly subharmonic functions, point out that this function class includes, among others, subharmonic functions, quasisubharmonic functions, nearly subharmonic functions and essentially almost subharmonic functions. It is shown that the sum of two quasinearly subharmonic functions may not be quasinearly subharmonic. Moreover, we characterize the harmonicity via quasinearly subharmonicity.

  1. Bayesian function-on-function regression for multilevel functional data.

    Science.gov (United States)

    Meyer, Mark J; Coull, Brent A; Versace, Francesco; Cinciripini, Paul; Morris, Jeffrey S

    2015-09-01

    Medical and public health research increasingly involves the collection of complex and high dimensional data. In particular, functional data-where the unit of observation is a curve or set of curves that are finely sampled over a grid-is frequently obtained. Moreover, researchers often sample multiple curves per person resulting in repeated functional measures. A common question is how to analyze the relationship between two functional variables. We propose a general function-on-function regression model for repeatedly sampled functional data on a fine grid, presenting a simple model as well as a more extensive mixed model framework, and introducing various functional Bayesian inferential procedures that account for multiple testing. We examine these models via simulation and a data analysis with data from a study that used event-related potentials to examine how the brain processes various types of images.

  2. Modelling distribution functions and fragmentation functions

    CERN Document Server

    Rodrigues, J; Mulders, P J

    1995-01-01

    We present examples for the calculation of the distribution and fragmentation functions using the representation in terms of non-local matrix elements of quark field operators. As specific examples, we use a simple spectator model to estimate the leading twist quark distribution functions and the fragmentation functions for a quark into a nucleon or a pion.

  3. Optical dual self functions

    Institute of Scientific and Technical Information of China (English)

    华建文; 刘立人; 王宁

    1997-01-01

    A recipe to construct the exact dual self-Fourier-Fresnel-transform functions is shown, where the Dirac comb function and transformable even periodic function are used. The mathematical proof and examples are given Then this kind of self-transform function is extended to the feasible optical dual self-transform functions.

  4. Riemann Zeta Matrix Function

    OpenAIRE

    Kargın, Levent; Kurt, Veli

    2015-01-01

    In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sinπxP.  Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals. We prove a functional equation for Riemann zeta matrix function.

  5. Functionality and homogeneity.

    NARCIS (Netherlands)

    2011-01-01

    Functionality and homogeneity are two of the five Sustainable Safety principles. The functionality principle aims for roads to have but one exclusive function and distinguishes between traffic function (flow) and access function (residence). The homogeneity principle aims at differences in mass, spe

  6. Properties of Bourbaki's Function

    CERN Document Server

    McCollum, James

    2010-01-01

    We examine Bourbaki's function, an easily-constructed continuous but nowhere-differentiable function, and explore properties including functional identities, the antiderivative, and the Hausdorff dimension of the graph.

  7. Platelet Function Tests

    Science.gov (United States)

    ... be limited. Home Visit Global Sites Search Help? Platelet Function Tests Share this page: Was this page helpful? ... their patients by ordering one or more platelet function tests. Platelet function testing may include one or more of ...

  8. Congenital platelet function defects

    Science.gov (United States)

    ... storage pool disorder; Glanzmann's thrombasthenia; Bernard-Soulier syndrome; Platelet function defects - congenital ... Congenital platelet function defects are bleeding disorders that ... function, even though there are normal platelet numbers. Most ...

  9. Random functions and turbulence

    CERN Document Server

    Panchev, S

    1971-01-01

    International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random

  10. Functional Maximum Autocorrelation Factors

    DEFF Research Database (Denmark)

    Larsen, Rasmus; Nielsen, Allan Aasbjerg

    2005-01-01

    Purpose. We aim at data where samples of an underlying function are observed in a spatial or temporal layout. Examples of underlying functions are reflectance spectra and biological shapes. We apply functional models based on smoothing splines and generalize the functional PCA in\\verb+~+\\$\\backsl......Purpose. We aim at data where samples of an underlying function are observed in a spatial or temporal layout. Examples of underlying functions are reflectance spectra and biological shapes. We apply functional models based on smoothing splines and generalize the functional PCA in...

  11. Acquired platelet function defect

    Science.gov (United States)

    Acquired qualitative platelet disorders; Acquired disorders of platelet function ... blood clotting. Disorders that can cause problems in platelet function include: Idiopathic thrombocytopenic purpura Chronic myelogenous leukemia Multiple ...

  12. Functional microorganisms for functional food quality.

    Science.gov (United States)

    Gobbetti, M; Cagno, R Di; De Angelis, M

    2010-09-01

    Functional microorganisms and health benefits represent a binomial with great potential for fermented functional foods. The health benefits of fermented functional foods are expressed either directly through the interactions of ingested live microorganisms with the host (probiotic effect) or indirectly as the result of the ingestion of microbial metabolites synthesized during fermentation (biogenic effect). Since the importance of high viability for probiotic effect, two major options are currently pursued for improving it--to enhance bacterial stress response and to use alternative products for incorporating probiotics (e.g., ice cream, cheeses, cereals, fruit juices, vegetables, and soy beans). Further, it seems that quorum sensing signal molecules released by probiotics may interact with human epithelial cells from intestine thus modulating several physiological functions. Under optimal processing conditions, functional microorganisms contribute to food functionality through their enzyme portfolio and the release of metabolites. Overproduction of free amino acids and vitamins are two classical examples. Besides, bioactive compounds (e.g., peptides, γ-amino butyric acid, and conjugated linoleic acid) may be released during food processing above the physiological threshold and they may exert various in vivo health benefits. Functional microorganisms are even more used in novel strategies for decreasing phenomenon of food intolerance (e.g., gluten intolerance) and allergy. By a critical approach, this review will aim at showing the potential of functional microorganisms for the quality of functional foods.

  13. Deformation of two welded elastic half-spaces due to a long inclined tensile fault

    Indian Academy of Sciences (India)

    Anil Kumar; Sarva Jit Singh; Jagdish Singh

    2005-02-01

    The calculation of the deformation caused by shear and tensile faults is necessary for the investigation of seismic and volcanic sources. The solution of the two-dimensional problem of a long inclined shear fault in two welded half-spaces is well known. The purpose of this note is to present the corresponding solution for a tensile fault. Closed-form analytical expressions for the Airy stress function for a tensile line source in two welded half-spaces are first obtained. These expressions are then integrated analytically to derive the Airy stress function for a long tensile fault of arbitrary dip and finite width. Closed-form analytical expressions for the displacements and stresses follow immediately from the Airy stress function. These expressions are suitable for computing the displacement and stress fields around a long inclined tensile fault near an internal boundary.

  14. Rough function model and rough membership function

    Institute of Scientific and Technical Information of China (English)

    Wang Yun; Guan Yanyong; Huang Zhiqin

    2008-01-01

    Two pairs of approximation operators, which are the scale lower and upper approximations as well as the real line lower and upper approximations, are defined. Their properties and antithesis characteristics are analyzed. The rough function model is generalized based on rough set theory, and the scheme of rough function theory is made more distinct and complete. Therefore, the transformation of the real function analysis from real line to scale is achieved. A series of basic concepts in rough function model including rough numbers, rough intervals, and rough membership functions are defined in the new scheme of the rough function model. Operating properties of rough intervals similar to rough sets are obtained. The relationship of rough inclusion and rough equality of rough intervals is defined by two kinds of tools, known as the lower (upper) approximation operator in real numbers domain and rough membership functions. Their relative properties are analyzed and proved strictly, which provides necessary theoretical foundation and technical support for the further discussion of properties and practical application of the rough function model.

  15. Entire functions sharing one small function

    Institute of Scientific and Technical Information of China (English)

    LI Yun-tong; CAO Yao

    2007-01-01

    The uniqueness problem of entire functions sharing one small function was studied. By Picard's Theorem, we proved that for two transcendental entire functions f (z) and g(z), a positive integer n≥9, and a(z) (not identically eaqual to zero) being a common small function related to f (z) and g(z), if f n(z)(f(z)-1)f'(z) and gn(z)(g'z)-1)g'(z) share a(z) CM, where CM is counting multiplicity, then g(z)≡f (z). This is an extended version of Fang and Hong's theorem [ Fang ML, Hong W, A unicity theorem for entire functions concerning differential polynomials, Journal of Indian Pure Applied Mathematics, 2001, 32 (9): 1343-1348].

  16. Hepatic (Liver) Function Panel

    Science.gov (United States)

    ... 1- to 2-Year-Old Blood Test: Hepatic (Liver) Function Panel KidsHealth > For Parents > Blood Test: Hepatic (Liver) Function Panel Print A A A What's in ... Is The hepatic function panel, also known as liver function tests, is a group of seven tests ...

  17. GENERALIZED WEAK FUNCTIONS

    Institute of Scientific and Technical Information of China (English)

    丁夏畦; 罗佩珠

    2004-01-01

    In this paper the authors introduce some new ideas on generalized numbers and generalized weak functions. They prove that the product of any two weak functions is a generalized weak function. So in particular they solve the problem of the multiplication of two generalized functions.

  18. Teager Correlation Function

    DEFF Research Database (Denmark)

    Bysted, Tommy Kristensen; Hamila, R.; Gabbouj, M.;

    1998-01-01

    A new correlation function called the Teager correlation function is introduced in this paper. The connection between this function, the Teager energy operator and the conventional correlation function is established. Two applications are presented. The first is the minimization of the Teager err...... norm and the second one is the use of the instantaneous Teager correlation function for simultaneous estimation of TDOA and FDOA (Time and Frequency Difference of Arrivals)....

  19. Relations between Lipschitz functions and convex functions

    Institute of Scientific and Technical Information of China (English)

    2005-01-01

    [1]Zajicek, J., On the differentation of convex functions in finite and infinite dimensional spaces, Czech J. Math.,1979, 29: 340-348.[2]Hu, T. C., Klee, V. L., Larman, D. G., Optimization of globally convex functions, SIAM J. Control Optim., 1989,27: 1026-1047.[3]Cepedello Boiso, M., Approximation of Lipschitz functions by △-convex functions in Banach spaces, Israel J.Math., 1998, 106: 269-284.[4]Asplund, E., Frechet differentiability of convex functions, Acta Math., 1968, 121: 31-47.[5]Johnson, J. A., Lipschitz spaces, Pacific J. Math, 1974, 51: 177-186.[6]Stromberg, T., The operation of infimal convolution, Dissert. Math., (Rozprawy Mat.), 1996, 325: 58.[7]Kadison, R. V., Ringrose, J. R., Fundamentals of the theory of operator algebras, volume Ⅰ: Elementary Theory,Graduate Studies in Math., vol. 15, Amer. Math. Soc., 1997.[8]Phelps, R. R., Convex functions,monotone operators and differentiability, Lect. Notes in Math., vol. 1364,Springer-Verlag, 1977.[9]Lindenstrauss, J., On operators which attain their norm, Israel J. Math., 1963, 1: 139-148.[10]Press, D., Gateaux differentiable functions are somewhere Frechet differentiable, Rend. Circ. Mat. Palermo,1984, 33: 122-133.[11]Press, D., Differentiability of Lipschitz functions on Banach spaces, J. Funct. Anal., 1990, 91:312-345.[12]Lindenstrauss, J., Press, D., On Frechet differentiability of Lipschitz maps between Banach spaces, Annals of Math., 2003, 157: 257-288.[13]Press, D., Gateaux differentiable Lipschitz functions need not be Frechet differentiable on a residual set, Supplemento Rend. Circ. Mat. Palermo, Serie Ⅱ, 1982, 2: 217-222.

  20. Sampling functions for geophysics

    Science.gov (United States)

    Giacaglia, G. E. O.; Lunquist, C. A.

    1972-01-01

    A set of spherical sampling functions is defined such that they are related to spherical-harmonic functions in the same way that the sampling functions of information theory are related to sine and cosine functions. An orderly distribution of (N + 1) squared sampling points on a sphere is given, for which the (N + 1) squared spherical sampling functions span the same linear manifold as do the spherical-harmonic functions through degree N. The transformations between the spherical sampling functions and the spherical-harmonic functions are given by recurrence relations. The spherical sampling functions of two arguments are extended to three arguments and to nonspherical reference surfaces. Typical applications of this formalism to geophysical topics are sketched.

  1. Filter function synthesis by Gegenbauer generating function

    Directory of Open Access Journals (Sweden)

    Pavlović Vlastimir D.

    2006-01-01

    Full Text Available Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1 flatness conditions for ω = 0 are considered in this paper. A new class of filters in explicit form with one free parameter is obtained by applying generating functions of Gegenbauer polynomials. This class of filters has good selectivity and good shape of amplitude characteristics in the pass-band. The amplitude characteristics of these transfer functions have gain in the upper part of pass-band with respect to the gain for ω = 0. This way we have greater margin of attenuation in the upper part of the pass-band. This means a greater tolerance of elements or for elements with given tolerances, greater ambient temperature changes. The appropriate choice of the free parameter enables us to generate filter functions obtained with Chebyshev polynomials of the first and second kind and Legendre polynomials.

  2. A Blue Lagoon Function

    DEFF Research Database (Denmark)

    Markvorsen, Steen

    2007-01-01

    We consider a specific function of two variables whose graph surface resembles a blue lagoon. The function has a saddle point $p$, but when the function is restricted to any given straight line through $p$ it has a {\\em{strict local minimum}} along that line at $p$.......We consider a specific function of two variables whose graph surface resembles a blue lagoon. The function has a saddle point $p$, but when the function is restricted to any given straight line through $p$ it has a {\\em{strict local minimum}} along that line at $p$....

  3. Functionalized boron nitride nanotubes

    Science.gov (United States)

    Sainsbury, Toby; Ikuno, Takashi; Zettl, Alexander K

    2014-04-22

    A plasma treatment has been used to modify the surface of BNNTs. In one example, the surface of the BNNT has been modified using ammonia plasma to include amine functional groups. Amine functionalization allows BNNTs to be soluble in chloroform, which had not been possible previously. Further functionalization of amine-functionalized BNNTs with thiol-terminated organic molecules has also been demonstrated. Gold nanoparticles have been self-assembled at the surface of both amine- and thiol-functionalized boron nitride Nanotubes (BNNTs) in solution. This approach constitutes a basis for the preparation of highly functionalized BNNTs and for their utilization as nanoscale templates for assembly and integration with other nanoscale materials.

  4. Belief functions on lattices

    CERN Document Server

    Grabisch, Michel

    2008-01-01

    We extend the notion of belief function to the case where the underlying structure is no more the Boolean lattice of subsets of some universal set, but any lattice, which we will endow with a minimal set of properties according to our needs. We show that all classical constructions and definitions (e.g., mass allocation, commonality function, plausibility functions, necessity measures with nested focal elements, possibility distributions, Dempster rule of combination, decomposition w.r.t. simple support functions, etc.) remain valid in this general setting. Moreover, our proof of decomposition of belief functions into simple support functions is much simpler and general than the original one by Shafer.

  5. Cryptographic Hash Functions

    DEFF Research Database (Denmark)

    Thomsen, Søren Steffen

    2009-01-01

    Cryptographic hash functions are commonly used in many different areas of cryptography: in digital signatures and in public-key cryptography, for password protection and message authentication, in key derivation functions, in pseudo-random number generators, etc. Recently, cryptographic hash...... functions have received a huge amount of attention due to new attacks on widely used hash functions. This PhD thesis, having the title "Cryptographic Hash Functions", contains both a general description of cryptographic hash functions, including their applications and expected properties as well as some...

  6. Scaled density functional theory correlation functionals.

    Science.gov (United States)

    Ghouri, Mohammed M; Singh, Saurabh; Ramachandran, B

    2007-10-18

    We show that a simple one-parameter scaling of the dynamical correlation energy estimated by the density functional theory (DFT) correlation functionals helps increase the overall accuracy for several local and nonlocal functionals. The approach taken here has been described as the "scaled dynamical correlation" (SDC) method [Ramachandran, J. Phys. Chem. A 2006, 110, 396], and its justification is the same as that of the scaled external correlation (SEC) method of Brown and Truhlar. We examine five local and five nonlocal (hybrid) DFT functionals, the latter group including three functionals developed specifically for kinetics by the Truhlar group. The optimum scale factors are obtained by use of a set of 98 data values consisting of molecules, ions, and transition states. The optimum scale factors, found with a linear regression relationship, are found to differ from unity with a high degree of correlation in nearly every case, indicating that the deviation of calculated results from the experimental values are systematic and proportional to the dynamic correlation energy. As a consequence, the SDC scaling of dynamical correlation decreases the mean errors (signed and unsigned) by significant amounts in an overwhelming majority of cases. These results indicate that there are gains to be realized from further parametrization of several popular exchange-correlation functionals.

  7. Functional Median Polish

    KAUST Repository

    Sun, Ying

    2012-08-03

    This article proposes functional median polish, an extension of univariate median polish, for one-way and two-way functional analysis of variance (ANOVA). The functional median polish estimates the functional grand effect and functional main factor effects based on functional medians in an additive functional ANOVA model assuming no interaction among factors. A functional rank test is used to assess whether the functional main factor effects are significant. The robustness of the functional median polish is demonstrated by comparing its performance with the traditional functional ANOVA fitted by means under different outlier models in simulation studies. The functional median polish is illustrated on various applications in climate science, including one-way and two-way ANOVA when functional data are either curves or images. Specifically, Canadian temperature data, U. S. precipitation observations and outputs of global and regional climate models are considered, which can facilitate the research on the close link between local climate and the occurrence or severity of some diseases and other threats to human health. © 2012 International Biometric Society.

  8. ASYMPTOTIC EXPANSIONS OF ZEROS FOR KRAWTCHOUK POLYNOMIALS WITH ERROR BOUNDS

    Institute of Scientific and Technical Information of China (English)

    ZHU Xiao-feng; LI Xiu-chun

    2006-01-01

    Krawtchouk polynomials are frequently applied in modern physics. Based on the results which were educed by Li and Wong, the asymptotic expansions of Krawtchouk polynomials are improved by using Airy function, and uniform asymptotic expansions are got. Furthermore, the asymptotic expansions of the zeros for Krawtchouk polynomials are again deduced by using the property of the zeros of Airy function, and their corresponding error bounds are discussed. The obtained results give the asymptotic property of Krawtchouk polynomials with their zeros, which are better than the results educed by Li and Wong.

  9. Functionalized diamond nanoparticles

    KAUST Repository

    Beaujuge, Pierre M.

    2014-10-21

    A diamond nanoparticle can be functionalized with a substituted dienophile under ambient conditions, and in the absence of catalysts or additional reagents. The functionalization is thought to proceed through an addition reaction.

  10. Functional Python programming

    CERN Document Server

    Lott, Steven

    2015-01-01

    This book is for developers who want to use Python to write programs that lean heavily on functional programming design patterns. You should be comfortable with Python programming, but no knowledge of functional programming paradigms is needed.

  11. Operations Between Functions

    DEFF Research Database (Denmark)

    Gardner, Richard J.; Kiderlen, Markus

    A structural theory of operations between real-valued (or extended-real-valued) functions on a nonempty subset A of Rn is initiated. It is shown, for example, that any operation ∗ on a cone of functions containing the constant functions, which is pointwise, positively homogeneous, monotonic......, and associative, must be one of 40 explicitly given types. In particular, this is the case for operations between pairs of arbitrary, or continuous, or differentiable functions. The term pointwise means that (f ∗g)(x) = F(f(x), g(x)), for all x ∈ A and some function F of two variables. Several results in the same...... spirit are obtained for operations between convex functions or between support functions. For example, it is shown that ordinary addition is the unique pointwise operation between convex functions satisfying the identity property, i.e., f ∗ 0 = 0 ∗ f = f, for all convex f, while other results classify Lp...

  12. Liver Function Tests

    Science.gov (United States)

    ... food, store energy, and remove poisons. Liver function tests are blood tests that check to see how well your liver ... hepatitis and cirrhosis. You may have liver function tests as part of a regular checkup. Or you ...

  13. Pseudolinear functions and optimization

    CERN Document Server

    Mishra, Shashi Kant

    2015-01-01

    Pseudolinear Functions and Optimization is the first book to focus exclusively on pseudolinear functions, a class of generalized convex functions. It discusses the properties, characterizations, and applications of pseudolinear functions in nonlinear optimization problems.The book describes the characterizations of solution sets of various optimization problems. It examines multiobjective pseudolinear, multiobjective fractional pseudolinear, static minmax pseudolinear, and static minmax fractional pseudolinear optimization problems and their results. The authors extend these results to locally

  14. Distributed processing; distributed functions?

    OpenAIRE

    Fox, Peter T.; FRISTON, KARL J

    2012-01-01

    After more than twenty years busily mapping the human brain, what have we learned from neuroimaging? This review (coda) considers this question from the point of view of structure–function relationships and the two cornerstones of functional neuroimaging; functional segregation and integration. Despite remarkable advances and insights into the brain’s functional architecture, the earliest and simplest challenge in human brain mapping remains unresolved: We do not have a principled way to map ...

  15. Spheroidal wave functions

    CERN Document Server

    Flammer, Carson

    2005-01-01

    Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal coordinates.Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products. Additional subje

  16. Monotone Boolean functions

    Energy Technology Data Exchange (ETDEWEB)

    Korshunov, A D [S.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk (Russian Federation)

    2003-10-31

    Monotone Boolean functions are an important object in discrete mathematics and mathematical cybernetics. Topics related to these functions have been actively studied for several decades. Many results have been obtained, and many papers published. However, until now there has been no sufficiently complete monograph or survey of results of investigations concerning monotone Boolean functions. The object of this survey is to present the main results on monotone Boolean functions obtained during the last 50 years.

  17. Functional linear models

    OpenAIRE

    2015-01-01

    This work aims at the exposition of two different results we have obtained in Functional Data Analysis. The first is a variable selection method in Functional Regression which is an adaptation of the well known Lasso technique. The second is a brand new Random Walk test for Functional Time Series. Being the results afferent to different areas of Functional Data Analysis, as well as of general Statistics, the introduction will be divided in three parts. Firstly we expose the fundament...

  18. Two Functions of Language

    Science.gov (United States)

    Feldman, Carol Fleisher

    1977-01-01

    Author advocates the view that meaning is necessarily dependent upon the communicative function of language and examines the objections, particularly those of Noam Chomsky, to this view. Argues that while Chomsky disagrees with the idea that communication is the essential function of language, he implicitly agrees that it has a function.…

  19. Diplomacy and diplomatic functions

    OpenAIRE

    2011-01-01

    Through the main lines of this study we try to introduce specific approaches of diplomacy, diplomatic mission, diplomatic visits and diplomatic functions. Functions of diplomacy: representation, negotiation, information, diplomatic protection, international cooperation, consular function have been developed and analyzed more in depth

  20. What Is Functionalism?

    Science.gov (United States)

    Bates, Elizabeth; MacWhinney, Brian

    A defense of functionalism in linguistics, and more specifically the competition model of linguistic performance, examines six misconceptions about the functionalist approach. Functionalism is defined as the belief that the forms of natural languages are created, governed, constrained, acquired, and used for communicative functions. Functionalism…

  1. Degenerate Euler zeta function

    OpenAIRE

    Kim, Taekyun

    2015-01-01

    Recently, T. Kim considered Euler zeta function which interpolates Euler polynomials at negative integer (see [3]). In this paper, we study degenerate Euler zeta function which is holomorphic function on complex s-plane associated with degenerate Euler polynomials at negative integers.

  2. Functional Cantor equation

    Science.gov (United States)

    Shabat, A. B.

    2016-12-01

    We consider the class of entire functions of exponential type in relation to the scattering theory for the Schrödinger equation with a finite potential that is a finite Borel measure. These functions have a special self-similarity and satisfy q-difference functional equations. We study their asymptotic behavior and the distribution of zeros.

  3. Expanding Pseudorandom Functions

    DEFF Research Database (Denmark)

    Damgård, Ivan Bjerre; Nielsen, Jesper Buus

    2002-01-01

    Given any weak pseudorandom function, we present a general and efficient technique transforming such a function to a new weak pseudorandom function with an arbitrary length output. This implies, among other things, an encryption mode for block ciphers. The mode is as efficient as known (and widely...

  4. Clinical functional MRI. Presurgical functional neuroimaging

    Energy Technology Data Exchange (ETDEWEB)

    Stippich, C. (ed.) [Heidelberg Univ. (Germany). Div. of Neuroradiology

    2007-07-01

    Functional magnetic resonance imaging (fMRI) permits noninvasive imaging of the ''human brain at work'' under physiological conditions. This is the first textbook on clinical fMRI. It is devoted to preoperative fMRI in patients with brain tumors and epilepsies, which are the most well-established clinical applications. By localizing and lateralizing specific brain functions, as well as epileptogenic zones, fMRI facilitates the selection of a safe treatment and the planning and performance of function-preserving neurosurgery. State of the art fMRI procedures are presented, with detailed consideration of the physiological and methodological background, imaging and data processing, normal and pathological findings, diagnostic possibilities and limitations, and other related techniques. All chapters are written by recognized experts in their fields, and the book is designed to be of value to beginners, trained clinicians and experts alike. (orig.)

  5. Planar Difference Functions

    CERN Document Server

    Hall, Joanne L; Donovan, Diane

    2012-01-01

    In 1980 Alltop produced a family of cubic phase sequences that nearly meet the Welch bound for maximum non-peak correlation magnitude. This family of sequences were shown by Wooters and Fields to be useful for quantum state tomography. Alltop's construction used a function that is not planar, but whose difference function is planar. In this paper we show that Alltop type functions cannot exist in fields of characteristic 3 and that for a known class of planar functions, $x^3$ is the only Alltop type function.

  6. Managing Functional Power

    DEFF Research Database (Denmark)

    Rosenstand, Claus Andreas Foss; Laursen, Per Kyed

    2013-01-01

    How does one manage functional power relations between leading functions in vision driven digital media creation, and this from idea to master during the creation cycle? Functional power is informal, and it is understood as roles, e.g. project manager, that provide opportunities to contribute...... to the product quality. The area of interest is the vision driven digital media industry in general; however, the point of departure is the game industry due to its aesthetic complexity. The article's contribution to the area is a power graph, which shows the functional power of the leading functions according...

  7. Introduction to functional equations

    CERN Document Server

    Sahoo, Prasanna K

    2011-01-01

    Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as possible for students from a variety of disciplines, the book chooses not to focus on functional equations where the unknown functions take on values on algebraic structures such as groups, rings, or fields. However, each chapter includes sections hig

  8. The Cosmological Mass Function

    CERN Document Server

    Monaco, P

    1997-01-01

    This thesis aims to review the cosmological mass function problem, both from the theoretical and the observational point of view, and to present a new mass function theory, based on realistic approximations for the dynamics of gravitational collapse. Chapter 1 gives a general introduction on gravitational dynamics in cosmological models. Chapter 2 gives a complete review of the mass function theory. Chapters 3 and 4 present the ``dynamical'' mass function theory, based on truncated Lagrangian dynamics and on the excursion set approach. Chapter 5 reviews the observational state-of-the-art and the main applications of the mass function theories described before. Finally, Chapter 6 gives conclusions and future prospects.

  9. Transfer function combinations

    KAUST Repository

    Zhou, Liang

    2012-10-01

    Direct volume rendering has been an active area of research for over two decades. Transfer function design remains a difficult task since current methods, such as traditional 1D and 2D transfer functions, are not always effective for all data sets. Various 1D or 2D transfer function spaces have been proposed to improve classification exploiting different aspects, such as using the gradient magnitude for boundary location and statistical, occlusion, or size metrics. In this paper, we present a novel transfer function method which can provide more specificity for data classification by combining different transfer function spaces. In this work, a 2D transfer function can be combined with 1D transfer functions which improve the classification. Specifically, we use the traditional 2D scalar/gradient magnitude, 2D statistical, and 2D occlusion spectrum transfer functions and combine these with occlusion and/or size-based transfer functions to provide better specificity. We demonstrate the usefulness of the new method by comparing to the following previous techniques: 2D gradient magnitude, 2D occlusion spectrum, 2D statistical transfer functions and 2D size based transfer functions. © 2012 Elsevier Ltd.

  10. Multistate nested canalizing functions

    CERN Document Server

    Adeyeye, J O; Laubenbacher, R; Li, Y

    2013-01-01

    The concept of a nested canalizing Boolean function has been studied over the course of the last decade in the context of understanding the regulatory logic of molecular interaction networks, such as gene regulatory networks. Such functions appear preferentially in published models of such networks. Recently, this concept has been generalized to include multi-state functions, and a recursive formula has been derived for their number, as a function of the number of variables. This paper carries out a detailed analysis of the class of nested canalizing functions over an arbitrary finite field. Furthermore, the paper generalizes the concept further, and derives a closed formula for the number of such generalized functions. The paper also derives a closed formula for the number of equivalence classes under permutation of variables. This is motivated by the fact that two nested canalizing functions that differ by a permutation of the variables share many important properties with each other. The paper contributes ...

  11. Cryptographic Hash Functions

    DEFF Research Database (Denmark)

    Gauravaram, Praveen; Knudsen, Lars Ramkilde

    2010-01-01

    standard which will be referred to as SHA-3. This chapter studies hash functions. Several approaches to design hash functions are discussed. An overview of the generic attacks and short-cut attacks on the iterated hash functions is provided. Important hash function applications are described. Several hash......Cryptographic hash functions are an important tool of cryptography and play a fundamental role in efficient and secure information processing. A hash function processes an arbitrary finite length input message to a fixed length output referred to as the hash value. As a security requirement, a hash...... value should not serve as an image for two distinct input messages and it should be difficult to find the input message from a given hash value. Secure hash functions serve data integrity, non-repudiation and authenticity of the source in conjunction with the digital signature schemes. Keyed hash...

  12. ALGEBROIDAL FUNCTION AND ITS DERIVED FUNCTION IN UNIT CIRCULAR DISC

    Institute of Scientific and Technical Information of China (English)

    Huo Yingying; Sun Daochun

    2009-01-01

    In this article, the authors define the derived function of an algeboidal function in the unit disc, prove it is an algabriodal function, and study the order of algebroidal function and that of its derived function in unit circular disc.

  13. Antisymmetric Orbit Functions

    Directory of Open Access Journals (Sweden)

    Anatoliy Klimyk

    2007-02-01

    Full Text Available In the paper, properties of antisymmetric orbit functions are reviewed and further developed. Antisymmetric orbit functions on the Euclidean space $E_n$ are antisymmetrized exponential functions. Antisymmetrization is fulfilled by a Weyl group, corresponding to a Coxeter-Dynkin diagram. Properties of such functions are described. These functions are closely related to irreducible characters of a compact semisimple Lie group $G$ of rank $n$. Up to a sign, values of antisymmetric orbit functions are repeated on copies of the fundamental domain $F$ of the affine Weyl group (determined by the initial Weyl group in the entire Euclidean space $E_n$. Antisymmetric orbit functions are solutions of the corresponding Laplace equation in $E_n$, vanishing on the boundary of the fundamental domain $F$. Antisymmetric orbit functions determine a so-called antisymmetrized Fourier transform which is closely related to expansions of central functions in characters of irreducible representations of the group $G$. They also determine a transform on a finite set of points of $F$ (the discrete antisymmetric orbit function transform. Symmetric and antisymmetric multivariate exponential, sine and cosine discrete transforms are given.

  14. The exact solution for the Dirac equation with the Cornell potential

    CERN Document Server

    Trevisan, L A; Andrade, F M

    2013-01-01

    An analytical solution of the Dirac equation with a Cornell potential, with identical scalar and vectorial parts, is presented. The solution is obtained by using the linear potential solution, related to Airy functions, multiplied by another function to be determined. The energy levels are obtained and we notice that they obey a band structure.

  15. Refined Error Estimates for the Riccati Equation with Applications to the Angular Teukolsky Equation

    CERN Document Server

    Finster, Felix

    2013-01-01

    We derive refined rigorous error estimates for approximate solutions of Sturm-Liouville and Riccati equations with real or complex potentials. The approximate solutions include WKB approximations, Airy and parabolic cylinder functions, and certain Bessel functions. Our estimates are applied to solutions of the angular Teukolsky equation with a complex aspherical parameter in a rotating black hole Kerr geometry.

  16. Counting with symmetric functions

    CERN Document Server

    Mendes, Anthony

    2015-01-01

    This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics.  It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions.  Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions.  Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4.  The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya’s enu...

  17. Elliptic hypergeometric functions

    CERN Document Server

    Spiridonov, V P

    2016-01-01

    This is author's Habilitation Thesis (Dr. Sci. dissertation) submitted at the beginning of September 2004. It is written in Russian and is posted due to the continuing requests for the manuscript. The content: 1. Introduction, 2. Nonlinear chains with the discrete time and their self-similar solutions, 3. General theory of theta hypergeometric series, 4. Theta hypergeometric integrals, 5. Biorthogonal functions, 6. Elliptic hypergeometric functions with |q|=1, 7. Conclusion, 8. References. It contains an outline of a general heuristic scheme for building univariate special functions through self-similar reductions of spectral transformation chains, which allowed construction of the differential-difference q-Painleve equations, as well as of the most general known set of elliptic biorthogonal functions comprising all classical orthogonal polynomials and biorthogonal rational functions. One of the key results of the thesis consists in the discovery of genuinely transcendental elliptic hypergeometric functions d...

  18. Intrinsic-Density Functionals

    CERN Document Server

    Engel, J

    2006-01-01

    The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham procedure slightly to evaluate the mean-field approximation to the functional, and carefully describe the construction of the leading corrections for a system of fermions in one dimension with a spin-degeneracy equal to the number of particles N. Despite the fact that the corrections are complicated and nonlocal, we are able to construct a local Skyrme-like intrinsic-density functional that, while different from the exact functional, shares with it a minimum value equal to the exact ground-state energy at the exact ground-state intrinsic density, to next-to-leading order in 1/N. We briefly discuss implications for real Skyrme functionals.

  19. New Similarity Functions

    DEFF Research Database (Denmark)

    Yazdani, Hossein; Ortiz-Arroyo, Daniel; Kwasnicka, Halina

    2016-01-01

    In data science, there are important parameters that affect the accuracy of the algorithms used. Some of these parameters are: the type of data objects, the membership assignments, and distance or similarity functions. This paper discusses similarity functions as fundamental elements in membership...... assignments. The paper introduces Weighted Feature Distance (WFD), and Prioritized Weighted Feature Distance (PWFD), two new distance functions that take into account the diversity in feature spaces. WFD functions perform better in supervised and unsupervised methods by comparing data objects on their feature...... spaces, in addition to their similarity in the vector space. Prioritized Weighted Feature Distance (PWFD) works similarly as WFD, but provides the ability to give priorities to desirable features. The accuracy of the proposed functions are compared with other similarity functions on several data sets...

  20. Balance Function Disorders

    Science.gov (United States)

    1991-01-01

    Researchers at the Balance Function Laboratory and Clinic at the Minneapolis (MN) Neuroscience Institute on the Abbot Northwestern Hospital Campus are using a rotational chair (technically a "sinusoidal harmonic acceleration system") originally developed by NASA to investigate vestibular (inner ear) function in weightlessness to diagnose and treat patients with balance function disorders. Manufactured by ICS Medical Corporation, Schaumberg, IL, the chair system turns a patient and monitors his or her responses to rotational stimulation.

  1. EVALUATING FUNCTIONAL REGIONS

    Directory of Open Access Journals (Sweden)

    Samo Drobne

    2012-12-01

    Full Text Available In the paper, we suggest an approach to evaluate the number and composition of functional regions. Suggested approach is based on basic characteristics of functional regions, that are (1 more intensive intra-regional than the inter-regional interactions and (2 internal social and economic heterogeneity. Those characteristics are measured by factors estimated in spatial interaction model. The approach to evaluate functional regions was applied to Slovenia for three time periods.

  2. Spectral Functions in QFT

    CERN Document Server

    Pisani, Pablo

    2015-01-01

    We present a pedagogical exposition of some applications of functional methods in quantum field theory: we use heat-kernel and zeta-function techniques to study the Casimir effect, the pair production in strong electric fields, quantum fields at finite temperature and beta-functions for a self-interacting scalar field, QED and pure Yang-Mills theories. The more recent application to the UV/IR mixing phenomenon in noncommutative theories is also discussed in this framework.

  3. Functional bowel disease

    DEFF Research Database (Denmark)

    Rumessen, J J; Gudmand-Høyer, E

    1988-01-01

    Twenty-five patients with functional bowel disease were given fructose, sorbitol, fructose-sorbitol mixtures, and sucrose. The occurrence of malabsorption was evaluated by means of hydrogen breath tests and the gastrointestinal symptoms, if any, were recorded. One patient could not be evaluated...... with functional bowel disease. The findings may have direct influence on the dietary guidance given to a major group of patients with functional bowel disease and may make it possible to define separate entities in this disease complex....

  4. Symmetric Boolean functions

    OpenAIRE

    Canteaut, Anne; Videau, Marion

    2005-01-01

    http://www.ieee.org/; We present an extensive study of symmetric Boolean functions, especially of their cryptographic properties. Our main result establishes the link between the periodicity of the simplified value vector of a symmetric Boolean function and its degree. Besides the reduction of the amount of memory required for representing a symmetric function, this property has some consequences from a cryptographic point of view. For instance, it leads to a new general bound on the order of...

  5. The gamma function

    CERN Document Server

    Artin, Emil

    2015-01-01

    This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, ""I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus."" Generations of teachers

  6. ON A FUNCTIONAL EQUATION

    Institute of Scientific and Technical Information of China (English)

    Ding Yi

    2009-01-01

    In this article, the author derives a functional equation η(s)=[(π/4)s-1/2√2/πг(1-s)sin(πs/2)]η(1-s) of the analytic function η(s) which is defined by η(s)=1-s-3-s-5-s+7-s…for complex variable s with Re s>1, and is defined by analytic continuation for other values of s. The author proves (1) by Ramanujan identity (see [1], [3]). Her method provides a new derivation of the functional equation of Riemann zeta function by using Poisson summation formula.

  7. Quantum Iterated Function Systems

    CERN Document Server

    Lozinski, A; Slomczynski, W; Lozinski, Artur; Zyczkowski, Karol; Slomczynski, Wojciech

    2003-01-01

    Iterated functions system (IFS) is defined by specifying a set of functions in a classical phase space, which act randomly on the initial point. In an analogous way, we define quantum iterated functions system (QIFS), where functions act randomly with prescribed probabilities in the Hilbert space. In a more general setting a QIFS consists of completely positive maps acting in the space of density operators. We present exemplary classical IFSs, the invariant measure of which exhibits fractal structure, and study properties of the corresponding QIFSs and their invariant state.

  8. Functional Object Analysis

    DEFF Research Database (Denmark)

    Raket, Lars Lau

    -effect formulations, where the observed functional signal is assumed to consist of both fixed and random functional effects. This thesis takes the initial steps toward the development of likelihood-based methodology for functional objects. We first consider analysis of functional data defined on high......-dimensional Euclidean spaces under the effect of additive spatially correlated effects, and then move on to consider how to include data alignment in the statistical model as a nonlinear effect under additive correlated noise. In both cases, we will give directions on how to generalize the methodology to more complex...

  9. Functional foods in pediatrics.

    Science.gov (United States)

    Van den Driessche, M; Veereman-Wauters, G

    2002-01-01

    The philosophy that food can be health promoting beyond its nutritional value is gaining acceptance. Known disease preventive aspects of nutrition have led to a new science, the 'functional food science'. Functional foods, first introduced in Japan, have no universally accepted definition but can be described as foods or food ingredients that may provide health benefits and prevent diseases. Currently, there is a growing interest in these products. However, not all regulatory issues have been settled yet. Five categories of foods can be classified as functional foods: dietary fibers, vitamins and minerals, bioactive substances, fatty acids and pro-, pre- and symbiotics. The latter are currently the main focus of research. Functional foods can be applied in pediatrics: during pregnancy, nutrition is 'functional' since it has prenatal influences on the intra-uterine development of the baby, after birth, 'functional' human milk supports adequate growth of infants and pro- and prebiotics can modulate the flora composition and as such confer certain health advantages. Functional foods have also been studied in pediatric diseases. The severity of necrotising enterocolitis (NEC), diarrhea, irritable bowel syndrome, intestinal allergy and lactose intolerance may be reduced by using functional foods. Functional foods have proven to be valuable contributors to the improvement of health and the prevention of diseases in pediatric populations.

  10. Contributing to Functionality

    DEFF Research Database (Denmark)

    Törpel, Bettina

    2006-01-01

    The objective of this paper is the design of computer supported joint action spaces. It is argued against a view of functionality as residing in computer applications. In such a view the creation of functionality is equivalent to the creation of computer applications. Functionality, in the view...... advocated in this paper, emerges in the specific dynamic interplay of actors, objectives, structures, practices and means. In this view, functionality is the result of creating, harnessing and inhabiting computer supported joint action spaces. The successful creation and further development of a computer...

  11. Functional Nausea in Children.

    Science.gov (United States)

    Kovacic, Katja; Di Lorenzo, Carlo

    2016-03-01

    Chronic nausea is a highly prevalent, bothersome, and difficult-to-treat symptom among adolescents. When chronic nausea presents as the predominant symptom and is not associated with any underlying disease, it may be considered a functional gastrointestinal disorder and named "functional nausea." The clinical features of functional nausea and its association with comorbid conditions provide clues to the underlying pathophysiological mechanisms. These may include gastrointestinal motor and sensory disturbances, autonomic imbalance, altered central nervous system pathways, or a combination of these. This review summarizes the current knowledge on mechanisms and treatment strategies for chronic, functional nausea in children.

  12. Control functions in MFM

    DEFF Research Database (Denmark)

    Lind, Morten

    2011-01-01

    Multilevel Flow Modeling (MFM) has been proposed as a tool for representing goals and functions of complex industrial plants and suggested as a basis for reasoning about control situations. Lind presents an introduction to MFM but do not describe how control functions are used in the modeling....... The purpose of the present paper is to serve as a companion paper to this introduction by explaining the basic principles used in MFM for representation of control functions. A theoretical foundation for modeling control functions is presented and modeling examples are given for illustration....

  13. Perceptual Audio Hashing Functions

    Directory of Open Access Journals (Sweden)

    Emin Anarım

    2005-07-01

    Full Text Available Perceptual hash functions provide a tool for fast and reliable identification of content. We present new audio hash functions based on summarization of the time-frequency spectral characteristics of an audio document. The proposed hash functions are based on the periodicity series of the fundamental frequency and on singular-value description of the cepstral frequencies. They are found, on one hand, to perform very satisfactorily in identification and verification tests, and on the other hand, to be very resilient to a large variety of attacks. Moreover, we address the issue of security of hashes and propose a keying technique, and thereby a key-dependent hash function.

  14. Theory of functions

    CERN Document Server

    Knopp, Konrad

    1996-01-01

    This is a one-volume edition of Parts I and II of the classic five-volume set The Theory of Functions prepared by renowned mathematician Konrad Knopp. Concise, easy to follow, yet complete and rigorous, the work includes full demonstrations and detailed proofs.Part I stresses the general foundation of the theory of functions, providing the student with background for further books on a more advanced level.Part II places major emphasis on special functions and characteristic, important types of functions, selected from single-valued and multiple-valued classes.

  15. Marine functional food

    NARCIS (Netherlands)

    Luten, J.B.

    2009-01-01

    This book reviews the research on seafood and health, the use and quality aspects of marine lipids and seafood proteins as ingredients in functional foods and consumer acceptance of (marine) functional food. The first chapter covers novel merging areas where seafood may prevent disease and improve h

  16. Thyroid function in pregnancy☆

    OpenAIRE

    Leung, Angela M.

    2012-01-01

    Iodine is required for the production of thyroid hormones. Normal thyroid function during pregnancy is important for both the mother and developing fetus. This review discusses the changes in thyroid physiology that occur during pregnancy, the significance of thyroid function tests and thyroid antibody titers assessed during pregnancy, and the potential obstetric complications associated with maternal hypothyroidism.

  17. Construction of Resilient Functions

    Institute of Scientific and Technical Information of China (English)

    ZHANG Jie; WEN Qiao-yan

    2005-01-01

    Based on the relationship between nonlinearity and resiliency of a multi-output function, we present a method for constructing nonintersecting linear codes from packing design. Through these linear codes, we obtain n-variable, moutput, t-resilient functions with very high nonlinearity.Their nonlinearities are currently the best results for most of cases.

  18. On minimal round functions

    NARCIS (Netherlands)

    Khimshiashvili, G.; Siersma, D.

    2001-01-01

    We describe the structure of minimal round functions on closed surfaces and three-folds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-

  19. The Colored Jones Function

    Institute of Scientific and Technical Information of China (English)

    HAN You-fa; YAN Xin-ming; LV Li-li

    2012-01-01

    In this paper,we discuss the properties of the colored Jones function of knots.Particularly,we calculate the colored Jones function of some knots(31,41,51,52).Furthermore,one can compute the Kashaev's invariants and study some properties of the Kashaev's conjecture.

  20. Functional and cognitive grammars

    Institute of Scientific and Technical Information of China (English)

    Anna Siewierska

    2011-01-01

    This paper presents a comprehensive review of the functional approach and cognitive approach to the nature of language and its relation to other aspects of human cognition. The paper starts with a brief discussion of the origins and the core tenets of the two approaches in Section 1. Section 2 discusses the similarities and differences between the three full-fledged structural functional grammars subsumed in the functional approach: Halliday's Systemic Functional Grammar (SFG), Dik's Functional Grammar (FG), and Van Valin's Role and Reference Grammar (RRG). Section 3 deals with the major features of the three cognitive frameworks: Langacker's Cognitive Grammar (CG), Goldberg's Cognitive Construction Grammar (CCG), and Croft's Radical Construction Grammar (RCG). Section 4 compares the two approaches and attempts to provide a unified functional-cognitive grammar. In the last section, the author concludes the paper with remarks on the unidirectional shift from functional grammar to cognitive grammar that may indicate a reinterpretation of the traditional relationship between functional and cognitive models of grammar.

  1. Distribution Functions of Copulas

    Institute of Scientific and Technical Information of China (English)

    LI Yong-hong; He Ping

    2007-01-01

    A general method was proposed to evaluate the distribution function of 〈C1|C2〉 . Some examples were presented to validate the application of the method. Then the sufficient and necessary condition for that the distribution function ofis uniform was proved.

  2. Function spaces, 1

    CERN Document Server

    Pick, Luboš; John, Oldrich; Fucík, Svatopluk

    2012-01-01

    This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as partial differential equations. Volum

  3. New Similarity Functions

    DEFF Research Database (Denmark)

    Yazdani, Hossein; Ortiz-Arroyo, Daniel; Kwasnicka, Halina

    2016-01-01

    In data science, there are important parameters that affect the accuracy of the algorithms used. Some of these parameters are: the type of data objects, the membership assignments, and distance or similarity functions. This paper discusses similarity functions as fundamental elements in membership...

  4. FUNCTIONS(Ⅱ)

    Institute of Scientific and Technical Information of China (English)

    王雷

    2008-01-01

    <正>EXAMPLE 1 Determining Wheth- er a Relation Represents a Function. Determining whether the following relation represent functions. (a)For this relation, the domain represents the employee of Saraxvs Pre -Owner Car Mart and the range repre- sents their base salary.

  5. Pulmonary Function Tests

    OpenAIRE

    Ranu, H; Wilde, M.; Madden, B

    2011-01-01

    Pulmonary function tests are valuable investigations in the management of patients with suspected or previously diagnosed respiratory disease. They aid diagnosis, help monitor response to treatment and can guide decisions regarding further treatment and intervention. The interpretation of pulmonary functions tests requires knowledge of respiratory physiology. In this review we describe investigations routinely used and discuss their clinical implications.

  6. Fundamentals of Functional Analysis

    CERN Document Server

    Kutateladze, S S; Slovák, Jan

    2001-01-01

    A concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces with applications to the Schwartz spaces of distributions and Radon measures.

  7. Functional Magnetic Resonance Imaging

    Science.gov (United States)

    Voos, Avery; Pelphrey, Kevin

    2013-01-01

    Functional magnetic resonance imaging (fMRI), with its excellent spatial resolution and ability to visualize networks of neuroanatomical structures involved in complex information processing, has become the dominant technique for the study of brain function and its development. The accessibility of in-vivo pediatric brain-imaging techniques…

  8. ON UNIVALENT BLOCH FUNCTIONS

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    A new characterization of univalent Bloch functions is given by investigating the growth order of an essentially increasing function. Our contribution can be considered as a slight improvement of the well-known Pommerenke's result and its all generalizations, and the proof presented in this paper is independently developed.

  9. Monadic Functional Reactive Programming

    NARCIS (Netherlands)

    Ploeg, A.J. van der; Shan, C

    2013-01-01

    Functional Reactive Programming (FRP) is a way to program reactive systems in functional style, eliminating many of the problems that arise from imperative techniques. In this paper, we present an alternative FRP formulation that is based on the notion of a reactive computation: a monadic computatio

  10. A Functional HAZOP Methodology

    DEFF Research Database (Denmark)

    Liin, Netta; Lind, Morten; Jensen, Niels;

    2010-01-01

    A HAZOP methodology is presented where a functional plant model assists in a goal oriented decomposition of the plant purpose into the means of achieving the purpose. This approach leads to nodes with simple functions from which the selection of process and deviation variables follow directly....... The functional HAZOP methodology lends itself directly for implementation into a computer aided reasoning tool to perform root cause and consequence analysis. Such a tool can facilitate finding causes and/or consequences far away from the site of the deviation. A functional HAZOP assistant is proposed...... and investigated in a HAZOP study of an industrial scale Indirect Vapor Recompression Distillation pilot Plant (IVaRDiP) at DTU-Chemical and Biochemical Engineering. The study shows that the functional HAZOP methodology provides a very efficient paradigm for facilitating HAZOP studies and for enabling reasoning...

  11. Submodular functions and optimization

    CERN Document Server

    Fujishige, Satoru

    2005-01-01

    It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems. Since the publication of the 1st edition of this book fifteen years ago, submodular functions have been showing further increasing importance in optimization, combinatorics, discrete mathematics, algorithmic computer science, and algorithmic economics, and there have been made remarkable developments of theory and algorithms in submodular functions. The 2nd edition of the book supplements the 1st edition with a lot of remarks and with new two chapters: "Submodular Function Minimization" and "Discrete Convex Analysis." The present 2nd edition is still a unique book on submodular functions, which is essential to students and researchers interested in combinatorial optimization, discrete mathematics, and discrete algorithms in the fields of mathematics, operations research, computer science, and economics. Key features: - Self-contained exposition of the theory of submodular ...

  12. Implementing function spreadsheets

    DEFF Research Database (Denmark)

    Sestoft, Peter

    2008-01-01

    A large amount of end-user development is done with spreadsheets. The spreadsheet metaphor is attractive because it is visual and accommodates interactive experimentation, but as observed by Peyton Jones, Blackwell and Burnett, the spreadsheet metaphor does not admit even the most basic abstraction......: that of turning an expression into a named function. Hence they proposed a way to define a function in terms of a worksheet with designated input and output cells; we shall call it a function sheet. The goal of our work is to develop implementations of function sheets and study their application to realistic...... examples. Therefore, we are also developing a simple yet comprehensive spreadsheet core implementation for experimentation with this technology. Here we report briefly on our experiments with function sheets as well as other uses of our spreadsheet core implementation....

  13. Function Photonic Crystals

    CERN Document Server

    Wu, Xiang-Yao; Yang, Jing-Hai; Liu, Xiao-Jing; Ba, Nuo; Wu, Yi-Heng; Wang, Qing-Cai; Li, Jing-Wu

    2010-01-01

    In the paper, we present a new kind of function photonic crystals, which refractive index is a function of space position. Unlike conventional PCs, which structure grow from two materials, A and B, with different dielectric constants $\\epsilon_{A}$ and $\\epsilon_{B}$. By Fermat principle, we give the motion equations of light in one-dimensional, two-dimensional and three-dimensional function photonic crystals. For one-dimensional function photonic crystals, we study the dispersion relation, band gap structure and transmissivity, and compare them with conventional photonic crystals. By choosing various refractive index distribution function $n(z)$, we can obtain more width or more narrow band gap structure than conventional photonic crystals.

  14. properties and luminosity functions

    Directory of Open Access Journals (Sweden)

    Hektor Monteiro

    2007-01-01

    Full Text Available In this article, we present an investigation of a sample of 1072 stars extracted from the Villanova Catalog of Spectroscopically Identified White Dwarfs (2005 on-line version, studying their distribution in the Galaxy, their physical properties and their luminosity functions. The distances and physical properties of the white dwarfs are determined through interpolation of their (B-V or (b-y colors in model grids. The solar position relative to the Galactic plane, luminosity function, as well as separate functions for each white dwarf spectral type are derived and discussed. We show that the binary fraction does not vary significantly as a function of distance from the Galactic disk out to 100 pc. We propose that the formation rates of DA and non-DAs have changed over time and/or that DAs evolve into non-DA types. The luminosity functions for DAs and DBs have peaks possibly related to a star burst event.

  15. Functional data analysis

    CERN Document Server

    Ramsay, J O

    1997-01-01

    Scientists today collect samples of curves and other functional observations. This monograph presents many ideas and techniques for such data. Included are expressions in the functional domain of such classics as linear regression, principal components analysis, linear modelling, and canonical correlation analysis, as well as specifically functional techniques such as curve registration and principal differential analysis. Data arising in real applications are used throughout for both motivation and illustration, showing how functional approaches allow us to see new things, especially by exploiting the smoothness of the processes generating the data. The data sets exemplify the wide scope of functional data analysis; they are drwan from growth analysis, meterology, biomechanics, equine science, economics, and medicine. The book presents novel statistical technology while keeping the mathematical level widely accessible. It is designed to appeal to students, to applied data analysts, and to experienced researc...

  16. Ego functions in epilepsy

    DEFF Research Database (Denmark)

    Sørensen, A S; Hansen, H; Høgenhaven, H;

    1988-01-01

    served as controls: 15 patients with a non-neurological but relapsing disorder, psoriasis, and 15 healthy volunteers. Compared with the group of healthy volunteers, a decreased adaptive level of ego functioning was found in the epilepsy groups, regardless of seizure types and EEG findings, and......, to a lesser extent, compared with the psoriasis group. Areas of ego functioning most affected were "reality testing", "cognitive functioning", "integrative functioning" and "regulation and control of drives". Patients with more than one type of seizure were the most affected, as were patients who were younger...... than 15 years when the disease began. The number of anticonvulsants administered did not influence the results. No difference on adaptive level of ego functioning was found between the group with primary generalized epilepsy and the group with temporal lobe epilepsy. Similarly, the temporal lobe...

  17. Time Functions as Utilities

    Science.gov (United States)

    Minguzzi, E.

    2010-09-01

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

  18. Learning Submodular Functions

    CERN Document Server

    Balcan, Maria-Florina

    2010-01-01

    There has recently been significant interest in the machine learning community on understanding and using submodular functions. Despite this recent interest, little is known about submodular functions from a learning theory perspective. Motivated by applications such as pricing goods in economics, this paper considers PAC-style learning of submodular functions in a distributional setting. A problem instance consists of a distribution on {0,1}^n and a real-valued function on {0,1}^n that is non-negative, monotone and submodular. We are given poly(n) samples from this distribution, along with the values of the function at those sample points. The task is to approximate the value of the function to within a multiplicative factor at subsequent sample points drawn from the same distribution, with sufficiently high probability. We prove several results for this problem. (1) If the function is Lipschitz and the distribution is a product distribution, such as the uniform distribution, then a good approximation is pos...

  19. Time functions as utilities

    CERN Document Server

    Minguzzi, E

    2009-01-01

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

  20. Unification of Filled Function and Tunnelling Function in Global Optimization

    Institute of Scientific and Technical Information of China (English)

    Wei Wang; Yong-jian Yang; Lian-sheng Zhang

    2007-01-01

    In this paper, two auxiliary functions for global optimization are proposed. These two auxiliary functions possess all characters of tunnelling functions and filled functions under certain general assumptions.Thus, they can be considered as the unification of filled function and tunnelling function. Moreover, the process of tunneling or filling for global optimization can be unified as the minimization of such auxiliary functions.Result of numerical experiments shows that such two auxiliary functions are effective.

  1. The H-Function

    CERN Document Server

    Mathai, AM

    2009-01-01

    The two main topics emphasized in this book, special functions and fractional calculus, are currently under fast development in theory and application to many problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book begins by setting forth definitions, contours, existence conditions, and particular cases of the H-function. The authors then deal with Laplace, Fourier, Hankel, and other transforms. As these relations are explored, fractional calculus and its relations to H-functions emerge with important results on fra

  2. Quantum iterated function systems.

    Science.gov (United States)

    Łoziński, Artur; Zyczkowski, Karol; Słomczyński, Wojciech

    2003-10-01

    An iterated function system (IFS) is defined by specifying a set of functions in a classical phase space, which act randomly on an initial point. In an analogous way, we define a quantum IFS (QIFS), where functions act randomly with prescribed probabilities in the Hilbert space. In a more general setting, a QIFS consists of completely positive maps acting in the space of density operators. This formalism is designed to describe certain problems of nonunitary quantum dynamics. We present exemplary classical IFSs, the invariant measure of which exhibits fractal structure, and study properties of the corresponding QIFSs and their invariant states.

  3. Mean-periodic functions

    Directory of Open Access Journals (Sweden)

    Carlos A. Berenstein

    1980-01-01

    Full Text Available We show that any mean-periodic function f can be represented in terms of exponential-polynomial solutions of the same convolution equation f satisfies, i.e., u∗f=0(μ∈E′(ℝn. This extends to n-variables the work of L. Schwartz on mean-periodicity and also extends L. Ehrenpreis' work on partial differential equations with constant coefficients to arbitrary convolutors. We also answer a number of open questions about mean-periodic functions of one variable. The basic ingredient is our work on interpolation by entire functions in one and several complex variables.

  4. Correlation Functions and Spin

    CERN Document Server

    Tyc, T

    2000-01-01

    The k-electron correlation function of a free chaotic electron beam is derived with the spin degree of freedom taken into account. It is shown that it can be expressed with the help of correlation functions for a polarized electron beam of all orders up to k and the degree of spin polarization. The form of the correlation function suggests that if the electron beam is not highly polarized, observing multi-particle correlations should be difficult. The result can be applied also to chaotic photon beams, the degree of spin polarization being replaced by the degree of polarization.

  5. Ego functions in epilepsy

    DEFF Research Database (Denmark)

    Sørensen, A S; Hansen, H; Høgenhaven, H;

    1988-01-01

    Two groups of epilepsy patients (28 patients with temporal lobe epilepsy and 15 patients with primary generalized epilepsy) entered a study of personality traits related to epilepsy, based on a modification of Bellak's semistructured interview for assessment of ego strength. Two groups of subjects......, to a lesser extent, compared with the psoriasis group. Areas of ego functioning most affected were "reality testing", "cognitive functioning", "integrative functioning" and "regulation and control of drives". Patients with more than one type of seizure were the most affected, as were patients who were younger...

  6. Choice probability generating functions

    DEFF Research Database (Denmark)

    Fosgerau, Mogens; McFadden, Daniel; Bierlaire, Michel

    2010-01-01

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

  7. Catalytic Functions of Standards

    NARCIS (Netherlands)

    K. Blind (Knut)

    2009-01-01

    textabstractThe three different areas and the examples have illustrated several catalytic functions of standards for innovation. First, the standardisation process reduces the time to market of inventions, research results and innovative technologies. Second, standards themselves promote the diffusi

  8. The Grindahl Hash Functions

    DEFF Research Database (Denmark)

    Knudsen, Lars Ramkilde; Rechberger, Christian; Thomsen, Søren Steffen

    2007-01-01

    In this paper we propose the Grindahl hash functions, which are based on components of the Rijndael algorithm. To make collision search sufficiently difficult, this design has the important feature that no low-weight characteristics form collisions, and at the same time it limits access to the st......In this paper we propose the Grindahl hash functions, which are based on components of the Rijndael algorithm. To make collision search sufficiently difficult, this design has the important feature that no low-weight characteristics form collisions, and at the same time it limits access...... to the state. We propose two concrete hash functions, Grindahl-256 and Grindahl-512 with claimed security levels with respect to collision, preimage and second preimage attacks of 2^128 and 2^256, respectively. Both proposals have lower memory requirements than other hash functions at comparable speeds...

  9. Functionally Graded Media

    OpenAIRE

    Campos, Cédric M.; Epstein, Marcelo; De León, Manuel

    2007-01-01

    The notions of uniformity and homogeneity of elastic materials are reviewed in terms of Lie groupoids and frame bundles. This framework is also extended to consider the case Functionally Graded Media, which allows us to obtain some homogeneity conditions.

  10. Normal Functioning Family

    Science.gov (United States)

    ... Spread the Word Shop AAP Find a Pediatrician Family Life Medical Home Family Dynamics Adoption & Foster Care ... Español Text Size Email Print Share Normal Functioning Family Page Content Article Body Is there any way ...

  11. ON COMMUTING FUNCTIONS,

    Science.gov (United States)

    The methods used seem to be new, and the author feels that further work in this direction may eventually yield a proof of the conjecture in the case when one of the functions is of bounded variation . (Author)

  12. Pair Correlation Function Integrals

    DEFF Research Database (Denmark)

    Wedberg, Nils Hejle Rasmus Ingemar; O'Connell, John P.; Peters, Günther H.J.;

    2011-01-01

    numerical tests complementing previous results. Pure molecular fluids are here studied in the isothermal-isobaric ensemble with isothermal compressibilities evaluated from the total correlation function integrals and compared with values derived from volume fluctuations. For systems where the radial......We describe a method for extending radial distribution functions obtained from molecular simulations of pure and mixed molecular fluids to arbitrary distances. The method allows total correlation function integrals to be reliably calculated from simulations of relatively small systems. The long......, and J. Abildskov, Mol. Simul. 36, 1243 (2010); Fluid Phase Equilib. 302, 32 (2011)], but describe here its theoretical basis more thoroughly and derive long-distance approximations for the direct correlation functions. We describe the numerical implementation of the method in detail, and report...

  13. The Protostellar Luminosity Function

    CERN Document Server

    Offner, Stella

    2011-01-01

    The protostellar luminosity function (PLF) is the present-day luminosity function of the protostars in a region of star formation. It is determined using the protostellar mass function (PMF) in combination with a stellar evolutionary model that provides the luminosity as a function of instantaneous and final stellar mass. As in McKee & Offner (2010), we consider three main accretion models: the Isothermal Sphere model, the Turbulent Core model, and an approximation of the Competitive Accretion model. We also consider the effect of an accretion rate that tapers off linearly in time and an accelerating star formation rate. For each model, we characterize the luminosity distribution using the mean, median, maximum, ratio of the median to the mean, standard deviation of the logarithm of the luminosity, and the fraction of very low luminosity objects. We compare the models with bolometric luminosities observed in local star forming regions and find that models with an approximately constant accretion time, suc...

  14. Fundamentals of functional analysis

    CERN Document Server

    Farenick, Douglas

    2016-01-01

    This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often buried within full-length overviews of the subjects. This is particularly useful for those in applied mathematics, engineering, or physics who need to have a firm grasp of functional analysis, but not necessarily some of the more abstruse aspects of topology and measure theory normally encountered. The reader is assumed to only have knowledge of basic real analysis, complex analysis, and algebra. The latter part of the text provides an outstanding treatment of Banach space theory and operator theory, covering topics not usually found together in other books on functional analysis. Written in a clear, concise manner,...

  15. Lectures on Functional Analysis

    CERN Document Server

    Kurepa, Svetozar; Kraljević, Hrvoje

    1987-01-01

    This volume consists of a long monographic paper by J. Hoffmann-Jorgensen and a number of shorter research papers and survey articles covering different aspects of functional analysis and its application to probability theory and differential equations.

  16. Phonon Green's function.

    OpenAIRE

    1991-01-01

    The concepts of source and quantum action principle are used to produce the phonon Green's function appropriate for an initial phonon vacuum state. An application to the Mossbauer effect is presented.

  17. [Vascular endothelial Barrier Function].

    Science.gov (United States)

    Ivanov, A N; Puchinyan, D M; Norkin, I A

    2015-01-01

    Endothelium is an important regulator of selective permeability of the vascular wall for different molecules and cells. This review summarizes current data on endothelial barrier function. Endothelial glycocalyx structure, its function and role in the molecular transport and leukocytes migration across the endothelial barrier are discussed. The mechanisms of transcellular transport of macromolecules and cell migration through endothelial cells are reviewed. Special section of this article addresses the structure and function of tight and adherens endothelial junction, as well as their importance for the regulation of paracellular transport across the endothelial barrier. Particular attention is paid to the signaling mechanism of endothelial barrier function regulation and the factors that influence on the vascular permeability.

  18. On Network Functional Compression

    CERN Document Server

    Feizi, Soheil

    2010-01-01

    In this paper, we consider different aspects of the network functional compression problem where computation of a function (or, some functions) of sources located at certain nodes in a network is desired at receiver(s). The rate region of this problem has been considered in the literature under certain restrictive assumptions, particularly in terms of the network topology, the functions and the characteristics of the sources. In this paper, we present results that significantly relax these assumptions. Firstly, we consider this problem for an arbitrary tree network and asymptotically lossless computation. We show that, for depth one trees with correlated sources, or for general trees with independent sources, a modularized coding scheme based on graph colorings and Slepian-Wolf compression performs arbitrarily closely to rate lower bounds. For a general tree network with independent sources, optimal computation to be performed at intermediate nodes is derived. We introduce a necessary and sufficient condition...

  19. Bosonic Partition Functions

    CERN Document Server

    Kellerstein, M; Verbaarschot, J J M

    2016-01-01

    The behavior of quenched Dirac spectra of two-dimensional lattice QCD is consistent with spontaneous chiral symmetry breaking which is forbidden according to the Coleman-Mermin-Wagner theorem. One possible resolution of this paradox is that, because of the bosonic determinant in the partially quenched partition function, the conditions of this theorem are violated allowing for spontaneous symmetry breaking in two dimensions or less. This goes back to work by Niedermaier and Seiler on nonamenable symmetries of the hyperbolic spin chain and earlier work by two of the auhtors on bosonic partition functions at nonzero chemical potential. In this talk we discuss chiral symmetry breaking for the bosonic partition function of QCD at nonzero isospin chemical potential and a bosonic random matrix theory at imaginary chemical potential and compare the results with the fermionic counterpart. In both cases the chiral symmetry group of the bosonic partition function is noncompact.

  20. Bioprinting: Functional droplet networks

    Science.gov (United States)

    Durmus, Naside Gozde; Tasoglu, Savas; Demirci, Utkan

    2013-06-01

    Tissue-mimicking printed networks of droplets separated by lipid bilayers that can be functionalized with membrane proteins are able to spontaneously fold and transmit electrical currents along predefined paths.

  1. ON BANDLIMITED SCALING FUNCTION

    Institute of Scientific and Technical Information of China (English)

    Wei Chen; Qiao Yang; Wei-jun Jiang; Si-long Peng

    2002-01-01

    This paper discuss band-limited scaling function, especially on the interval band case and three interval bands case, its relationship to oversampling property and weakly translation invariance are also studied. At the end, we propose an open problem.

  2. Holographic Three point Functions

    DEFF Research Database (Denmark)

    Bissi, Agnese

    In this thesis it is addressed the problem of the computation of three point correlation functions within the AdS=CFT correspondence. In the context of the AdS 5=CFT4 correspondence we present three computations. First we compare the results of tree level three point functions of two giant...... gravitons and a point like graviton and its dual counterpart, namely two Schur polynomials and a single trace chiral primary. Secondly we compute the one loop correction to planar, non extremal three point functions of two heavy and one light operators, both from the gauge and string side in the Frolov......-Tseytlin regime. Finally we generalize the scalar product of two states belonging to the SO(6) sector of N = 4 SYM with implications on the construction of three point functions of 3 non-BPS operators from the gauge theory side. On the other hand in the AdS4=CFT3 correspondence we compare the computations...

  3. A Totient Function Inequality

    Directory of Open Access Journals (Sweden)

    N. Carella

    2013-09-01

    Full Text Available A new unconditional inequality of the totient function is contributed to the literature. This result is associated with various unsolved problems about the distribution of prime numbers.  

  4. Characterisation of Functional Surfaces

    DEFF Research Database (Denmark)

    Lonardo, P.M.; De Chiffre, Leonardo; Bruzzone, A.A.

    2004-01-01

    Characterisation of surfaces is of fundamental importance to control the manufacturing process and the functional performance of the part. Many applications concern contact and tribology problems, which include friction, wear and lubrication. This paper presents the techniques and instruments for...

  5. Center for Functional Nanomaterials

    Data.gov (United States)

    Federal Laboratory Consortium — The Center for Functional Nanomaterials (CFN) explores the unique properties of materials and processes at the nanoscale. The CFN is a user-oriented research center...

  6. Functional Task Test: Data Review

    Science.gov (United States)

    Cromwell, Ronita

    2014-01-01

    After space flight there are changes in multiple physiological systems including: Cardiovascular function; Sensorimotor function; and Muscle function. How do changes in these physiological system impact astronaut functional performance?

  7. Proteins: Form and function

    OpenAIRE

    Roy D Sleator

    2012-01-01

    An overwhelming array of structural variants has evolved from a comparatively small number of protein structural domains; which has in turn facilitated an expanse of functional derivatives. Herein, I review the primary mechanisms which have contributed to the vastness of our existing, and expanding, protein repertoires. Protein function prediction strategies, both sequence and structure based, are also discussed and their associated strengths and weaknesses assessed.

  8. Applied functional analysis

    CERN Document Server

    Griffel, DH

    2002-01-01

    A stimulating introductory text, this volume examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Detailed enough to impart a thorough understanding, the text is also sufficiently straightforward for those unfamiliar with abstract analysis. Its four-part treatment begins with distribution theory and discussions of Green's functions. Essentially independent of the preceding material, the second and third parts deal with Banach spaces, Hilbert space, spectral theory, and variational techniques. The final part outlines the

  9. Green's functions with applications

    CERN Document Server

    Duffy, Dean G

    2015-01-01

    This second edition systematically leads readers through the process of developing Green's functions for ordinary and partial differential equations. In addition to exploring the classical problems involving the wave, heat, and Helmholtz equations, the book includes special sections on leaky modes, water waves, and absolute/convective instability. The book helps readers develop an intuition about the behavior of Green's functions, and considers the questions of the computational efficiency and possible methods for accelerating the process.

  10. Function, anticipation, representation

    Science.gov (United States)

    Bickhard, Mark. H.

    2001-06-01

    Function emerges in certain kinds of far-from-equilibrium systems. One important kind of function is that of interactive anticipation, an adaptedness to temporal complexity. Interactive anticipation is the locus of the emergence of normative representational content, and, thus, of representation in general: interactive anticipation is the naturalistic core of the evolution of cognition. Higher forms of such anticipation are involved in the subsequent macro-evolutionary sequence of learning, emotions, and reflexive consciousness.

  11. Structure function monitor

    Energy Technology Data Exchange (ETDEWEB)

    McGraw, John T [Placitas, NM; Zimmer, Peter C [Albuquerque, NM; Ackermann, Mark R [Albuquerque, NM

    2012-01-24

    Methods and apparatus for a structure function monitor provide for generation of parameters characterizing a refractive medium. In an embodiment, a structure function monitor acquires images of a pupil plane and an image plane and, from these images, retrieves the phase over an aperture, unwraps the retrieved phase, and analyzes the unwrapped retrieved phase. In an embodiment, analysis yields atmospheric parameters measured at spatial scales from zero to the diameter of a telescope used to collect light from a source.

  12. LDF (Lag Dependence Functions)

    DEFF Research Database (Denmark)

    2000-01-01

    LDF (Lag Dependence Functions) is an S-PLUS library for identification of non-linear dependencies in univariate time series. The methods can be considered generalizations of the tools applicable for linear time series.......LDF (Lag Dependence Functions) is an S-PLUS library for identification of non-linear dependencies in univariate time series. The methods can be considered generalizations of the tools applicable for linear time series....

  13. Inequalities for Humbert functions

    Directory of Open Access Journals (Sweden)

    Ayman Shehata

    2014-04-01

    Full Text Available This paper is motivated by an open problem of Luke’s theorem. We consider the problem of developing a unified point of view on the theory of inequalities of Humbert functions and of their general ratios are obtained. Some particular cases and refinements are given. Finally, we obtain some important results involving inequalities of Bessel and Whittaker’s functions as applications.

  14. Functionally graded materials

    CERN Document Server

    Mahamood, Rasheedat Modupe

    2017-01-01

    This book presents the concept of functionally graded materials as well as their use and different fabrication processes. The authors describe the use of additive manufacturing technology for the production of very complex parts directly from the three dimension computer aided design of the part by adding material layer after layer. A case study is also presented in the book on the experimental analysis of functionally graded material using laser metal deposition process.

  15. Nonlinear functional analysis

    Directory of Open Access Journals (Sweden)

    W. L. Fouché

    1983-03-01

    Full Text Available In this article we discuss some aspects of nonlinear functional analysis. It included reviews of Banach’s contraction theorem, Schauder’s fixed point theorem, globalising techniques and applications of homotopy theory to nonlinear functional analysis. The author emphasises that fundamentally new ideas are required in order to achieve a better understanding of phenomena which contain both nonlinear and definite infinite dimensional features.

  16. Purely Functional Structured Programming

    OpenAIRE

    Obua, Steven

    2010-01-01

    The idea of functional programming has played a big role in shaping today's landscape of mainstream programming languages. Another concept that dominates the current programming style is Dijkstra's structured programming. Both concepts have been successfully married, for example in the programming language Scala. This paper proposes how the same can be achieved for structured programming and PURELY functional programming via the notion of LINEAR SCOPE. One advantage of this proposal is that m...

  17. Partly occupied Wannier functions

    DEFF Research Database (Denmark)

    Thygesen, Kristian Sommer; Hansen, Lars Bruno; Jacobsen, Karsten Wedel

    2005-01-01

    We introduce a scheme for constructing partly occupied, maximally localized Wannier functions (WFs) for both molecular and periodic systems. Compared to the traditional occupied WFs the partly occupied WFs possess improved symmetry and localization properties achieved through a bonding-antibondin......We introduce a scheme for constructing partly occupied, maximally localized Wannier functions (WFs) for both molecular and periodic systems. Compared to the traditional occupied WFs the partly occupied WFs possess improved symmetry and localization properties achieved through a bonding...

  18. Production Functions Behaving Badly

    DEFF Research Database (Denmark)

    Fredholm, Thomas

    This paper reconsiders Anwar Shaikh's critique of the neoclassical theory of growth and distribution based on its use of aggregate production functions. This is done by reconstructing and extending Franklin M. Fisher's 1971 computer simulations, which Shaikh used to support his critique. Together...... with other recent extensions to Shaikh's seminal work, my results support and strengthen the evidence against the use of aggregate production functions....

  19. Functions & Features of Idioms

    Institute of Scientific and Technical Information of China (English)

    周来纳

    2015-01-01

    Idioms, or conventionalized multiword expressions, often but not always non-literal, are hardly marginal in English, though they have been relatively neglected in lexical studies of the language. This neglect is especially evident in respect of the functions of idioms. The aim of this article, accordingly, is to account for the functions of idioms by analyzing what they do with the features of idioms.

  20. Handbook of functional equations functional inequalities

    CERN Document Server

    2014-01-01

    As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the  Riemann–Stieltjes integral, means and related functional inequalities, Weighted G...

  1. Functional balance tests

    Directory of Open Access Journals (Sweden)

    Parvin Raji

    2012-12-01

    Full Text Available Background and Aim: All activities of daily living need to balance control in static and dynamic movements. In recent years, a numerous increase can be seen in the functional balance assessment tools. Functional balance tests emphasize on static and dynamic balance, balance in weight transfer, the equilibrium response to the imbalances, and functional mobility. These standardized and available tests assess performance and require minimal or no equipment and short time to run. Functional balance is prerequisite for the most static and dynamic activities in daily life and needs sufficient interaction between sensory and motor systems. According to the critical role of balance in everyday life, and wide application of functional balance tests in the diagnosis and assessment of patients, a review of the functional balance tests was performed.Methods: The Google Scholar, PubMed, Science Direct, Scopus, Magiran, Iran Medex, and IranDoc databases were reviewed and the reliable and valid tests which were mostly used by Iranian researchers were assessed.Conclusion: It seems that Berg balance scale (BBS have been studied by Iranian and foreign researches more than the other tests. This test has high reliability and validity in elderly and in the most neurological disorders.

  2. Functional neuroimaging of sleep.

    Science.gov (United States)

    Nofzinger, Eric A

    2005-03-01

    Sleep and sleep disorders have traditionally been viewed from a polysomnographic perspective. Although these methods provide information on the timing of various stages of sleep and wakefulness, they do not provide information regarding function in brain structures that have been implicated in the generation of sleep and that may be abnormal in different sleep disorders. Functional neuroimaging methods provide information regarding changes in brain function across the sleep-wake cycle that provides information for models of sleep dysregulation in a variety of sleep disorders. Early studies show reliable increases in function in limbic and anterior paralimbic cortex in rapid eye movement (REM) sleep and decreases in function in higher-order cortical regions in known thalamocortical networks during non-REM sleep. Although most of the early work in this area has been devoted to the study of normal sleep mechanisms, a collection of studies in diverse sleep disorders such as sleep deprivation, depression, insomnia, dyssomnias, narcolepsy, and sleep apnea suggest that functional neuroimaging methods have the potential to clarify the pathophysiology of sleep disorders and to guide treatment strategies.

  3. Simulation of Performance of Quantum Well Infrared Photodetectors

    Science.gov (United States)

    2005-06-01

    Simulation of the above implies numerical solution of the Schroedinger equation, using algorithms and methods, which give accurate results. In our approach...the transfer matrix method (TMM) was used with exponentials and Airy functions to represent the solutions to Schroedinger equation under zero and non

  4. The Reason for the Efficiency of the Pian-Sumihara Basis

    CERN Document Server

    Childs, S J

    1999-01-01

    A logical explanation as to why the choice of the Pian-Sumihara basis (as a linear basis to approximate stress) leads to greater efficiency in enhanced strain problems, is presented. An Airy stress function and the consequent selective simplification resulting from the differentiation of an implied, single, parent approximating polynomial, are the essence of this argument.

  5. Estimation of the p-wave velocity profile of elastic real data based on surface wave inversion

    NARCIS (Netherlands)

    Ponomarenko, A.V.; Kashtan, B.M.; Troyan, V.N.; Mulder, W.A.

    2013-01-01

    Recently, we proposed an analytical approach to invert for a smoothly varying near-surface P-wave velocity profile that has a squared slowness linearly decreasing with depth. The exact solution for such a velocity profile in the acoustic approximation can be expressed in terms of Airy functions and

  6. Sperm function test

    Directory of Open Access Journals (Sweden)

    Pankaj Talwar

    2015-01-01

    Full Text Available With absolute normal semen analysis parameters it may not be necessary to shift to specialized tests early but in cases with borderline parameters or with history of fertilization failure in past it becomes necessary to do a battery of tests to evaluate different parameters of spermatozoa. Various sperm function tests are proposed and endorsed by different researchers in addition to the routine evaluation of fertility. These tests detect function of a certain part of spermatozoon and give insight on the events in fertilization of the oocyte. The sperms need to get nutrition from the seminal plasma in the form of fructose and citrate (this can be assessed by fructose qualitative and quantitative estimation, citrate estimation. They should be protected from the bad effects of pus cells and reactive oxygen species (ROS (leukocyte detection test, ROS estimation. Their number should be in sufficient in terms of (count, structure normal to be able to fertilize eggs (semen morphology. Sperms should have intact and functioning membrane to survive harsh environment of vagina and uterine fluids (vitality and hypo-osmotic swelling test, should have good mitochondrial function to be able to provide energy (mitochondrial activity index test. They should also have satisfactory acrosome function to be able to burrow a hole in zona pellucida (acrosome intactness test, zona penetration test. Finally, they should have properly packed DNA in the nucleus to be able to transfer the male genes (nuclear chromatic decondensation test to the oocyte during fertilization.

  7. Functional integration over geometries

    CERN Document Server

    Mottola, E

    1995-01-01

    The geometric construction of the functional integral over coset spaces {\\cal M}/{\\cal G} is reviewed. The inner product on the cotangent space of infinitesimal deformations of \\cal M defines an invariant distance and volume form, or functional integration measure on the full configuration space. Then, by a simple change of coordinates parameterizing the gauge fiber \\cal G, the functional measure on the coset space {\\cal M}/{\\cal G} is deduced. This change of integration variables leads to a Jacobian which is entirely equivalent to the Faddeev-Popov determinant of the more traditional gauge fixed approach in non-abelian gauge theory. If the general construction is applied to the case where \\cal G is the group of coordinate reparametrizations of spacetime, the continuum functional integral over geometries, {\\it i.e.} metrics modulo coordinate reparameterizations may be defined. The invariant functional integration measure is used to derive the trace anomaly and effective action for the conformal part of the me...

  8. Space race functional responses.

    Science.gov (United States)

    Sjödin, Henrik; Brännström, Åke; Englund, Göran

    2015-02-22

    We derive functional responses under the assumption that predators and prey are engaged in a space race in which prey avoid patches with many predators and predators avoid patches with few or no prey. The resulting functional response models have a simple structure and include functions describing how the emigration of prey and predators depend on interspecific densities. As such, they provide a link between dispersal behaviours and community dynamics. The derived functional response is general but is here modelled in accordance with empirically documented emigration responses. We find that the prey emigration response to predators has stabilizing effects similar to that of the DeAngelis-Beddington functional response, and that the predator emigration response to prey has destabilizing effects similar to that of the Holling type II response. A stability criterion describing the net effect of the two emigration responses on a Lotka-Volterra predator-prey system is presented. The winner of the space race (i.e. whether predators or prey are favoured) is determined by the relationship between the slopes of the species' emigration responses. It is predicted that predators win the space race in poor habitats, where predator and prey densities are low, and that prey are more successful in richer habitats.

  9. The Functions of Sleep

    Directory of Open Access Journals (Sweden)

    Samson Z Assefa

    2015-08-01

    Full Text Available Sleep is a ubiquitous component of animal life including birds and mammals. The exact function of sleep has been one of the mysteries of biology. A considerable number of theories have been put forward to explain the reason(s for the necessity of sleep. To date, while a great deal is known about what happens when animals sleep, there is no definitive comprehensive explanation as to the reason that sleep is an inevitable part of animal functioning. It is well known that sleep is a homeostatically regulated body process, and that prolonged sleep deprivation is fatal in animals. In this paper, we present some of the theories as to the functions of sleep and provide a review of some hypotheses as to the overall physiologic function of sleep. To better understand the purpose for sleeping, we review the effects of sleep deprivation on physical, neurocognitive and psychic function. A better understanding of the purpose for sleeping will be a great advance in our understanding of the nature of the animal kingdom, including our own.

  10. Functional imaging and endoscopy

    Institute of Scientific and Technical Information of China (English)

    Jian-Guo Zhang; Hai-Feng Liu

    2011-01-01

    The emergence of endoscopy for the diagnosis of gastrointestinal diseases and the treatment of gastrointestinal diseases has brought great changes.The mere observation of anatomy with the imaging mode using modern endoscopy has played a significant role in this regard.However,increasing numbers of endoscopies have exposed additional deficiencies and defects such as anatomically similar diseases.Endoscopy can be used to examine lesions that are difficult to identify and diagnose.Early disease detection requires that substantive changes in biological function should be observed,but in the absence of marked morphological changes,endoscopic detection and diagnosis are difficult.Disease detection requires not only anatomic but also functional imaging to achieve a comprehensive interpretation and understanding.Therefore,we must ask if endoscopic examination can be integrated with both anatomic imaging and functional imaging.In recent years,as molecular biology and medical imaging technology have further developed,more functional imaging methods have emerged.This paper is a review of the literature related to endoscopic optical imaging methods in the hopes of initiating integration of functional imaging and anatomical imaging to yield a new and more effective type of endoscopy.

  11. Learning View Generalization Functions

    CERN Document Server

    Breuel, Thomas M

    2007-01-01

    Learning object models from views in 3D visual object recognition is usually formulated either as a function approximation problem of a function describing the view-manifold of an object, or as that of learning a class-conditional density. This paper describes an alternative framework for learning in visual object recognition, that of learning the view-generalization function. Using the view-generalization function, an observer can perform Bayes-optimal 3D object recognition given one or more 2D training views directly, without the need for a separate model acquisition step. The paper shows that view generalization functions can be computationally practical by restating two widely-used methods, the eigenspace and linear combination of views approaches, in a view generalization framework. The paper relates the approach to recent methods for object recognition based on non-uniform blurring. The paper presents results both on simulated 3D ``paperclip'' objects and real-world images from the COIL-100 database sho...

  12. Algal functional annotation tool

    Energy Technology Data Exchange (ETDEWEB)

    Lopez, D. [UCLA; Casero, D. [UCLA; Cokus, S. J. [UCLA; Merchant, S. S. [UCLA; Pellegrini, M. [UCLA

    2012-07-01

    The Algal Functional Annotation Tool is a web-based comprehensive analysis suite integrating annotation data from several pathway, ontology, and protein family databases. The current version provides annotation for the model alga Chlamydomonas reinhardtii, and in the future will include additional genomes. The site allows users to interpret large gene lists by identifying associated functional terms, and their enrichment. Additionally, expression data for several experimental conditions were compiled and analyzed to provide an expression-based enrichment search. A tool to search for functionally-related genes based on gene expression across these conditions is also provided. Other features include dynamic visualization of genes on KEGG pathway maps and batch gene identifier conversion.

  13. Functional Programming Using F#

    DEFF Research Database (Denmark)

    Hansen, Michael Reichhardt; Rischel, Hans

    This comprehensive introduction to the principles of functional programming using F# shows how to apply basic theoretical concepts to produce succinct and elegant programs. It demonstrates the role of functional programming in a wide spectrum of applications including databases and systems....... Coverage also includes advanced features in the .NET library, the imperative features of F# and topics such as text processing, sequences, computation expressions and asynchronous computation. With a broad spectrum of examples and exercises, the book is perfect for courses in functional programming...... and for self-study. Enhancing its use as a text is an accompanying website with downloadable programs, lecture slides, a mini-projects and links to further F# sources....

  14. Ghrelin and Functional Dyspepsia

    Directory of Open Access Journals (Sweden)

    Takashi Akamizu

    2010-01-01

    Full Text Available The majority of patients with dyspepsia have no identifiable cause of their disease, leading to a diagnosis of functional dyspepsia (FD. While a number of different factors affect gut activity, components of the nervous and endocrine systems are essential for normal gut function. Communication between the brain and gut occurs via direct neural connections or endocrine signaling events. Ghrelin, a peptide produced by the stomach, affects gastric motility/emptying and secretion, suggesting it may play a pathophysiological role in FD. It is also possible that the functional abnormalities in FD may affect ghrelin production in the stomach. Plasma ghrelin levels are reported to be altered in FD, correlating with FD symptom score. Furthermore, some patients with FD suffer from anorexia with body-weight loss. As ghrelin increases gastric emptying and promotes feeding, ghrelin therapy may be a new approach to the treatment of FD.

  15. Harmonic function theory

    CERN Document Server

    Axler, Sheldon; Ramey, Wade

    2013-01-01

    This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer.

  16. [Functional mitral regurgitation].

    Science.gov (United States)

    Sade, Leyla Elif

    2009-07-01

    Functional mitral regurgitation (FMR) is the mitral regurgitation that occurs due to myocardial disease in the presence of normal mitral valve leaflets. This scenario has the different characteristics than the organic mitral regurgitation. Functional mitral regurgitation is a disease of the ventricle and occurs by the deformation of the mitral valve leaflets. This morbid entity is frequent and has bad prognosis. Functional mitral regurgitation is the result of complex pathophysiologic process including left ventricular local and global remodeling, mitral annular and papillary muscle dysfunction, and left ventricular dysfunction. The dynamic behavior of FMR complicates the quantification of the regurgitation. Exercise stress echocardiography is of particular importance in the evaluation of the hemodynamic burden of FMR. Particular pathophysiological properties of the FMR necessitate different therapeutic approaches than the current ones for classical mitral regurgitation.

  17. Platelet function in dogs

    DEFF Research Database (Denmark)

    Nielsen, Line A.; Zois, Nora Elisabeth; Pedersen, Henrik D.

    2007-01-01

    Background: Clinical studies investigating platelet function in dogs have had conflicting results that may be caused by normal physiologic variation in platelet response to agonists. Objectives: The objective of this study was to investigate platelet function in clinically healthy dogs of 4...... different breeds by whole-blood aggregometry and with a point-of-care platelet function analyzer (PFA-100), and to evaluate the effect of acetylsalicylic acid (ASA) administration on the results from both methods. Methods: Forty-five clinically healthy dogs (12 Cavalier King Charles Spaniels [CKCS], 12...... applied. However, the importance of these breed differences remains to be investigated. The PFA-100 method with Col + Epi as agonists, and ADP-induced platelet aggregation appear to be sensitive to ASA in dogs....

  18. Protein Functionalized Nanodiamond Arrays

    Directory of Open Access Journals (Sweden)

    Liu YL

    2010-01-01

    Full Text Available Abstract Various nanoscale elements are currently being explored for bio-applications, such as in bio-images, bio-detection, and bio-sensors. Among them, nanodiamonds possess remarkable features such as low bio-cytotoxicity, good optical property in fluorescent and Raman spectra, and good photostability for bio-applications. In this work, we devise techniques to position functionalized nanodiamonds on self-assembled monolayer (SAMs arrays adsorbed on silicon and ITO substrates surface using electron beam lithography techniques. The nanodiamond arrays were functionalized with lysozyme to target a certain biomolecule or protein specifically. The optical properties of the nanodiamond-protein complex arrays were characterized by a high throughput confocal microscope. The synthesized nanodiamond-lysozyme complex arrays were found to still retain their functionality in interacting with E. coli.

  19. Quantal density functional theory

    CERN Document Server

    Sahni, Viraht

    2016-01-01

    This book deals with quantal density functional theory (QDFT) which is a time-dependent local effective potential theory of the electronic structure of matter. The treated time-independent QDFT constitutes a special case. In the 2nd edition, the theory is extended to include the presence of external magnetostatic fields. The theory is a description of matter based on the ‘quantal Newtonian’ first and second laws which is in terms of “classical” fields that pervade all space, and their quantal sources. The fields, which are explicitly defined, are separately representative of electron correlations due to the Pauli exclusion principle, Coulomb repulsion, correlation-kinetic, correlation-current-density, and correlation-magnetic effects. The book further describes Schrödinger theory from the new physical perspective of fields and quantal sources. It also describes traditional Hohenberg-Kohn-Sham DFT, and explains via QDFT the physics underlying the various energy functionals and functional derivatives o...

  20. Spaces of continuous functions

    CERN Document Server

    Groenewegen, G L M

    2016-01-01

    The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given. Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem. The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.

  1. Generating functions for symmetric and shifted symmetric functions

    OpenAIRE

    Jing, Naihuan; Rozhkovskaya, Natasha

    2016-01-01

    We describe generating functions for several important families of classical symmetric functions and shifted Schur functions. The approach is originated from vertex operator realization of symmetric functions and offers a unified method to treat various families of symmetric functions and their shifted analogues.

  2. Peakonsul Jaanus Kirikmäe andis teenetemärgi praost Thomas Vagale / Airi Vaga ; foto: Harold Karu

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2008-01-01

    President Toomas Hendrik Ilves annetas iseseisvuspäeva puhul USA I praostkonna praostile Thomas Vagale Valgetähe IV klassi teenetemärgi. Teenetemärgi andis Thomas Vagale üle Eesti Vabariigi peakonsul Jaanus Kirikmäe

  3. Ameerika suursaadik Aldona Sofia Wos : toon kättpidi USA suurfirmad Eestisse / Aldona Zofia Wos ; interv. Airi Ilisson

    Index Scriptorium Estoniae

    Wos, Aldona Zofia

    2005-01-01

    USA suursaadik Eestis vastab küsimustele, mis on seotud Londonis USA riigidepartemangu korraldatud konverentsiga, kus Balti riikide juhid rääkisid USA ettevõtete esindajatele, miks tuleks investeerida Balti riikidesse. USA tehtud investeeringutest Eestisse, Eesti ettevõtjate võimalustest USA-s. Lisa: Tõhus rahapüüdja

  4. Eesti 15-16 aastaste koolinoorte uimastitarbimine : 1995., 1999. ja 2003. aasta uurimuste võrdlus / Airi-Alina Allaste

    Index Scriptorium Estoniae

    Allaste, Airi-Alina, 1967-

    2004-01-01

    Rahvusvaheliste uurimuste ESPAD käigus koguti andmeid uimastite tarvitamisega seotud käitumise kohta koolinoorte hulgas; Joon.: uimastite tarvitamine soo ja õppekeele järgi, tubakaga katsetajad ja regulaarsed suitsetajad, kanepisuitsetajad

  5. Estonian Airi president : uus äristrateegia toob ettevõttele edu / Borge Thornbech ; interv. Andres Reimer

    Index Scriptorium Estoniae

    Thornbech, Borge

    2007-01-01

    Estonian Air asutas regionaalsete lendude korraldamiseks ettevõtte Estonian Air Regional, idee on arendada tegevust lühidistantsidel ja luua ühenduslüli lennukompanii Euroopa-liinide vahel. Kommenteerivad Olev Schults, Oleg Harlamov, Rein Mark. Vt. samas: Kõik aktsionärid vannuvad Estonian Airile truudust; Estonian Air kaalub Tartu lennuliini avamist. Kaart: Reisijate jagunemine sihtkohtade vahel. Graafikud: Estonian Air kukkus kahjumisse

  6. Muusika põhimõistete tundmisest põhikooli ja gümnaasumi õpilaste hulgas / Lilian Reinmets, Airi Liimets

    Index Scriptorium Estoniae

    Reinmets, Lilian

    2009-01-01

    Gustav Reiali ja Riho Pätsi 1934. aasta ainetestist muusikaõpetuses. Lilian Reinmetsa 2006. aasta ainetestist, kus õpilastel tuli oma sõnadega avada teatud muusika põhimõistete sisu. Uurimuses osalesid õpilased kolmest Tallinna koolist

  7. Kõik metsaettevõtted kahjuks veel seadust ei järgi / Airi Lepassar ; kommenteerinud Jaanus Aun, Tarmo Lees

    Index Scriptorium Estoniae

    Lepassar, Airi

    2016-01-01

    Raietööde tellimisel tasub uurida ettevõtte senist tegevust. Tasub kontrollida, kas isikul on ka tegelikult vastavas äriühingus esindusõigust ja otsida internetist teavet äriühingu varasemate tööde kohta, lisaks on kasulik uurida MTA kodulehelt tasutud maksude andmeid

  8. Clocks and cardiovascular function

    Science.gov (United States)

    McLoughlin, Sarah C.; Haines, Philip; FitzGerald, Garret A.

    2016-01-01

    Circadian clocks in central and peripheral tissues enable the temporal synchronization and organization of molecular and physiological processes of rhythmic animals, allowing optimum functioning of cells and organisms at the most appropriate time of day. Disruption of circadian rhythms, from external or internal forces, leads to widespread biological disruption and is postulated to underlie many human conditions, such as the incidence and timing of cardiovascular disease. Here, we describe in vivo and in vitro methodology relevant to studying the role of circadian rhythms in cardiovascular function and dysfunction PMID:25707279

  9. The Coulomb Green's function

    Science.gov (United States)

    Lieber, Michael

    1989-06-01

    It is something of a miracle that the nonrelativistic Schrodinger equation with a Coulomb potential can be solved for the wavefunction in exact analytic form. Even more miraculous is the result of Schwinger which enables the Green's function to be solved in closed form, for this is in effect, an infinite sum of wavefunction products. In the relativistic case too the wavefunction can be found in closed form, but as yet no such result for the Green's function has been found. This lecture provides a brief overview of the situation with an emphasis on the ``hidden symmetry'' which underlies the nonrelativisitic problem and its degenerate form which carries over to the relativistic case.

  10. The function genomics study

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    @@ Genomics is a biology term appeared ten years ago, used to describe the researches of genomic mapping, sequencing, and structure analysis, etc. Genomics, the first journal for publishing papers on genomics research was born in 1986. In the past decade, the concept of genomics has been widely accepted by scientists who are engaging in biology research. Meanwhile, the research scope of genomics has been extended continuously, from simple gene mapping and sequencing to function genomics study. To reflect the change, genomics is divided into two parts now, the structure genomics and the function genomics.

  11. Rarefied elliptic hypergeometric functions

    CERN Document Server

    Spiridonov, V P

    2016-01-01

    We prove exact evaluation formulae for two multiple rarefied elliptic beta integrals related to the simplest lens space. These integrals generalize the multiple type I and II van Diejen-Spiridonov integrals attached to the root system $C_n$. Symmetries of the rarefied elliptic analogue of the Euler-Gauss hypergeometric function are described and the corresponding generalization of the hypergeometric equation is constructed. An extension of the latter function to the root system $C_n$ and applications to some eigenvalue problems are briefly discussed.

  12. Magnetosome production and functionalization

    DEFF Research Database (Denmark)

    Anyaogu, Diana Chinyere; Zhuang, Shiwen; Mortensen, Uffe Hasbro

    as a model organism used to produce magnetosmes and is known to require a low dissolved oxygen (DO) concentration and iron during cultivation for magnetosome production. However, the relationship between these parameters and fermentation behavior is not well understood. We will present a study where we...... investigate how the addition of iron impacts the physiology of the MSR-1 cells and the expression of key genes involved in the production of mangetosomes. Furthermore, utilization of magnetosomes for applications as immunoassays requires the functionalization of the magnetsomes. Functionalization...

  13. Complex function theory

    CERN Document Server

    Sarason, Donald

    2007-01-01

    Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Co

  14. A stabilized pairing functional

    CERN Document Server

    Erler, J; Reinhard, P --G

    2008-01-01

    We propose a modified pairing functional for nuclear structure calculations which avoids the abrupt phase transition between pairing and non-pairing states. The intended application is the description of nuclear collective motion where the smoothing of the transition is compulsory to remove singularities. The stabilized pairing functional allows a thoroughly variational formulation, unlike the Lipkin-Nogami (LN) scheme which is often used for the purpose of smoothing. First applications to nuclear ground states and collective excitations prove the reliability and efficiency of the proposed stabilized pairing.

  15. Chromatin Structure and Function

    CERN Document Server

    Wolffe, Alan P

    1999-01-01

    The Third Edition of Chromatin: Structure and Function brings the reader up-to-date with the remarkable progress in chromatin research over the past three years. It has been extensively rewritten to cover new material on chromatin remodeling, histone modification, nuclear compartmentalization, DNA methylation, and transcriptional co-activators and co-repressors. The book is written in a clear and concise fashion, with 60 new illustrations. Chromatin: Structure and Function provides the reader with a concise and coherent account of the nature, structure, and assembly of chromatin and its active

  16. GADRAS Detector Response Function.

    Energy Technology Data Exchange (ETDEWEB)

    Mitchell, Dean J.; Harding, Lee; Thoreson, Gregory G; Horne, Steven M.

    2014-11-01

    The Gamma Detector Response and Analysis Software (GADRAS) applies a Detector Response Function (DRF) to compute the output of gamma-ray and neutron detectors when they are exposed to radiation sources. The DRF is fundamental to the ability to perform forward calculations (i.e., computation of the response of a detector to a known source), as well as the ability to analyze spectra to deduce the types and quantities of radioactive material to which the detectors are exposed. This document describes how gamma-ray spectra are computed and the significance of response function parameters that define characteristics of particular detectors.

  17. Stability of Trigonometric Functional Equations in Generalized Functions

    Directory of Open Access Journals (Sweden)

    Jeongwook Chang

    2010-01-01

    Full Text Available We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.

  18. Executive functions in synesthesia

    NARCIS (Netherlands)

    R. Rouw; J. van Driel; K. Knip; K.R. Ridderinkhof

    2013-01-01

    In grapheme-color synesthesia, a number or letter can evoke two different and possibly conflicting (real and synesthetic) color sensations at the same time. In this study, we investigate the relationship between synesthesia and executive control functions. First, no general skill differences were ob

  19. Objectification and Semiotic Function

    Science.gov (United States)

    Santi, George

    2011-01-01

    The objective of this paper is to study students' difficulties when they have to ascribe the same meaning to different representations of the same mathematical object. We address two theoretical tools that are at the core of Radford's cultural semiotic and Godino's onto-semiotic approaches: objectification and the semiotic function. The analysis…

  20. Choice probability generating functions

    DEFF Research Database (Denmark)

    Fosgerau, Mogens; McFadden, Daniel; Bierlaire, Michel

    2013-01-01

    This paper considers discrete choice, with choice probabilities coming from maximization of preferences from a random utility field perturbed by additive location shifters (ARUM). Any ARUM can be characterized by a choice-probability generating function (CPGF) whose gradient gives the choice prob...

  1. Educational Production Functions.

    Science.gov (United States)

    Polachek, Solomon W.; And Others

    1978-01-01

    A constant partial elasticity of substitution production function for academic achievement is presented and estimated with nonlinear maximum likelihood methods. We find that ability and time devoted to various aspects of the learning process are the most important determinants of students' accomplishments. (Author/CTM)

  2. functional-differential inequalities

    Directory of Open Access Journals (Sweden)

    Ludwik Byszewski

    1995-01-01

    Full Text Available A theorem about a system of strong impulsive degenerate nonlinear parabolic functional-differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear parabolic differential problem are established.

  3. Thrombocyte and thrombocyte function

    Institute of Scientific and Technical Information of China (English)

    1997-01-01

    970384 The mechanism of preserving platelet func-tion by aprotinin during cardiopulmonary bypass.YANG Tianyu(杨天宇), et al. Anesthesiol &Cardiòpulmon Bypass Lab, Cardiovasc Instit & FuwaiHosp, CAMS & PUMC, Beijing, 100037. Chin Cir J1996; 11(12): 739-742.

  4. Automate functional testing

    Directory of Open Access Journals (Sweden)

    Ramesh Kalindri

    2014-06-01

    Full Text Available Currently, software engineers are increasingly turning to the option of automating functional tests, but not always have successful in this endeavor. Reasons range from low planning until over cost in the process. Some principles that can guide teams in automating these tests are described in this article.

  5. Hantush Well Function Revisited

    NARCIS (Netherlands)

    Veling, E.J.M.; Maas, C.

    2010-01-01

    In this paper we comment on some recent numerical and analytical work to evaluate the Hantush Well Function. We correct an expression found in a Comment by Nadarajah (J. of Hydrology, vol. 338, p. 152-153 (2007)) to a paper by Prodanoff et al. (J. of Hydrology, vol. 318, p. 173-183 (2006)). We subse

  6. Tagging Grammatical Functions

    CERN Document Server

    Brants, T; Krenn, B; Brants, Thorsten; Skut, Wojciech; Krenn, Brigitte

    1997-01-01

    This paper addresses issues in automated treebank construction. We show how standard part-of-speech tagging techniques extend to the more general problem of structural annotation, especially for determining grammatical functions and syntactic categories. Annotation is viewed as an interactive process where manual and automatic processing alternate. Efficiency and accuracy results are presented. We also discuss further automation steps.

  7. Functional ingredients from microalgae

    NARCIS (Netherlands)

    Buono, S.; Langellotti, A.L.; Martello, A.; Rinna, F.; Fogliano, V.

    2014-01-01

    A wide variety of natural sources are under investigation to evaluate their possible use for new functional ingredient formulation. Some records attested the traditional and ancient use of wild harvested microalgae as human food but their cultivation for different purposes started about 40 years ago

  8. Laboratory Density Functionals

    OpenAIRE

    Giraud, B G

    2007-01-01

    We compare several definitions of the density of a self-bound system, such as a nucleus, in relation with its center-of-mass zero-point motion. A trivial deconvolution relates the internal density to the density defined in the laboratory frame. This result is useful for the practical definition of density functionals.

  9. Empirical microeconomics action functionals

    Science.gov (United States)

    Baaquie, Belal E.; Du, Xin; Tanputraman, Winson

    2015-06-01

    A statistical generalization of microeconomics has been made in Baaquie (2013), where the market price of every traded commodity, at each instant of time, is considered to be an independent random variable. The dynamics of commodity market prices is modeled by an action functional-and the focus of this paper is to empirically determine the action functionals for different commodities. The correlation functions of the model are defined using a Feynman path integral. The model is calibrated using the unequal time correlation of the market commodity prices as well as their cubic and quartic moments using a perturbation expansion. The consistency of the perturbation expansion is verified by a numerical evaluation of the path integral. Nine commodities drawn from the energy, metal and grain sectors are studied and their market behavior is described by the model to an accuracy of over 90% using only six parameters. The paper empirically establishes the existence of the action functional for commodity prices that was postulated to exist in Baaquie (2013).

  10. Nonlinear functional analysis

    CERN Document Server

    Deimling, Klaus

    1985-01-01

    topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider­ ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical languag...

  11. Holographic Three point Functions

    DEFF Research Database (Denmark)

    Martirosyan, Ara

    The main subject of this thesis is the computation of structure constants appearing in the three-point functions for certain type of states/operators in the context of the AdS/CFT correspondence, which is one of the important parts of the dynamical problem in the dual theories of the correspondence...

  12. Choice Probability Generating Functions

    DEFF Research Database (Denmark)

    Fosgerau, Mogens; McFadden, Daniel L; Bierlaire, Michel

    This paper considers discrete choice, with choice probabilities coming from maximization of preferences from a random utility field perturbed by additive location shifters (ARUM). Any ARUM can be characterized by a choice-probability generating function (CPGF) whose gradient gives the choice...

  13. Enzyme design: Functional Frankensteins

    Science.gov (United States)

    Makhlynets, Olga V.; Korendovych, Ivan V.

    2016-09-01

    An artificial esterase with no known natural structural analogues has been formed via the homo-heptameric self-assembly of a designed peptide. This esterase represents the first report of a functional catalytic triad rationally engineered into a de novo protein framework.

  14. Bayes Multiple Decision Functions

    CERN Document Server

    Wu, Wensong

    2011-01-01

    This paper deals with the problem of simultaneously making many (M) binary decisions based on one realization of a random data matrix X. M is typically large and X will usually have M rows associated with each of the M decisions to make, but for each row the data may be low dimensional. A Bayesian decision-theoretic approach for this problem is implemented with the overall loss function being a cost-weighted linear combination of Type I and Type II loss functions. The class of loss functions considered allows for the use of the false discovery rate (FDR), false nondiscovery rate (FNR), and missed discovery rate (MDR) in assessing the decision. Through this Bayesian paradigm, the Bayes multiple decision function (BMDF) is derived and an efficient algorithm to obtain the optimal Bayes action is described. In contrast to many works in the literature where the rows of the matrix X are assumed to be stochastically independent, we allow in this paper a dependent data structure with the associations obtained through...

  15. Automatic Functional Harmonic Analysis

    NARCIS (Netherlands)

    de Haas, W.B.; Magalhães, J.P.; Wiering, F.; Veltkamp, R.C.

    2013-01-01

    Music scholars have been studying tonal harmony intensively for centuries, yielding numerous theories and models. Unfortunately, a large number of these theories are formulated in a rather informal fashion and lack mathematical precision. In this article we present HarmTrace, a functional model of W

  16. Predicatively computable functions on sets

    CERN Document Server

    Arai, Toshiyasu

    2012-01-01

    Inspired from a joint work by A. Beckmann, S. Buss and S. Friedman, we propose a class of set-theoretic functions, predicatively computable functions. Each function in this class is polynomial time computable when we restrict to finite binary strings. Moreover a fragment of set theory is given in which \\Sigma_1-definable functions are exactly the functions in the class.

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

    DEFF Research Database (Denmark)

    Pedersen, Henrik Laurberg

    2011-01-01

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

  18. EXECUTIVE FUNCTIONING IN SCHIZOPHRENIA

    Directory of Open Access Journals (Sweden)

    Gricel eOrellana

    2013-06-01

    Full Text Available The executive function (EF is a set of abilities, which allows us to invoke voluntary control of our behavioral responses. These functions enable human beings to develop and carry out plans, make up analogies, obey social rules, solve problems, adapt to unexpected circumstances, do many tasks simultaneously and locate episodes in time and place. EF includes divided attention and sustained attention, working memory, set-shifting, flexibility, planning and the regulation of goal directed behavior and can be defined as a brain function underlying the human faculty to act or think not only in reaction to external events but also in relation with internal goals and states. EF is mostly associated with dorsolateral prefrontal cortex (PFC. Besides EF, PFC is involved in self-regulation of behavior, i.e. the ability to regulate behavior according to internal goals and constraints, particularly in less structured situations. Self-regulation of behavior is subtended by ventral medial /orbital PFC. Impairment of EF is one of the most commonly observed deficits in schizophrenia through the various disease stages. Impairment in tasks measuring conceptualization, planning, cognitive flexibility, verbal fluency, ability to solve complex problems and working memory occur in schizophrenia. Disorders detected by executive tests are consistent with evidence from functional neuroimaging, which have shown PFC dysfunction in patients while performing these kinds of tasks. Schizophrenics also exhibit deficit in odor identifying, decision-making and self-regulation of behavior suggesting dysfunction of the orbital PFC. However, impairment in executive tests is explained by dysfunction of prefronto-striato-thalamic, prefronto-parietal and prefronto-temporal neural networks mainly. Disorders in executive functions may be considered central facts with respect to schizophrenia and it has been suggested that negative symptoms may be explained by that executive dysfunction.

  19. Partition density functional theory

    Science.gov (United States)

    Nafziger, Jonathan

    Partition density functional theory (PDFT) is a method for dividing a molecular electronic structure calculation into fragment calculations. The molecular density and energy corresponding to Kohn Sham density-functional theory (KS-DFT) may be exactly recovered from these fragments. Each fragment acts as an isolated system except for the influence of a global one-body 'partition' potential which deforms the fragment densities. In this work, the developments of PDFT are put into the context of other fragment-based density functional methods. We developed three numerical implementations of PDFT: One within the NWChem computational chemistry package using basis sets, and the other two developed from scratch using real-space grids. It is shown that all three of these programs can exactly reproduce a KS-DFT calculation via fragment calculations. The first of our in-house codes handles non-interacting electrons in arbitrary one-dimensional potentials with any number of fragments. This code is used to explore how the exact partition potential changes for different partitionings of the same system and also to study features which determine which systems yield non-integer PDFT occupations and which systems are locked into integer PDFT occupations. The second in-house code, CADMium, performs real-space calculations of diatomic molecules. Features of the exact partition potential are studied for a variety of cases and an analytical formula determining singularities in the partition potential is derived. We introduce an approximation for the non-additive kinetic energy and show how this quantity can be computed exactly. Finally a PDFT functional is developed to address the issues of static correlation and delocalization errors in approximations within DFT. The functional is applied to the dissociation of H2 + and H2.

  20. Riik jätaks kolmandiku Estonian Airist SASile / Jaana Pikalev ; kommenteerinud Olev Schults

    Index Scriptorium Estoniae

    Pikalev, Jaana

    2010-01-01

    Eesti valitsuse ja SAS-i kavatsuste deklaratsioonile allakirjutamine lükati edasi. Eesti huvi on saada Estonian Airis enamusosalus, Cresco kavatseb oma osalusest Estonian Airis loobuda, kui riik peaks Estonian Airi üle kontrolli saavutama

  1. THE WAVELET TRANSFORM OF PERIODIC FUNCTION AND NONSTATIONARY PERIODIC FUNCTION

    Institute of Scientific and Technical Information of China (English)

    刘海峰; 周炜星; 王辅臣; 龚欣; 于遵宏

    2002-01-01

    Some properties of the wavelet transform of trigonometric function, periodic function and nonstationary periodic function have been investigated. The results show that the peak height and width in wavelet energy spectrum of a periodic function are in proportion to its period. At the same time, a new equation, which can truly reconstruct a trigonometric function with only one scale wavelet coefficient, is presented. The reconstructed wave shape of a periodic function with the equation is better than any term of its Fourier series. And the reconstructed wave shape of a class of nonstationary periodic function with this equation agrees well with the function.

  2. Uniqueness property for quasiharmonic functions

    Directory of Open Access Journals (Sweden)

    Sevdiyor A. Imomkulov

    2014-10-01

    Full Text Available In this paper we consider a class of continuous functions, called quasiaharmonic functions, admitting best approximations by harmonic polynomials. In this class we prove a uniqueness theorem by analogy with the analytic functions.

  3. Functional magnetic microspheres

    Science.gov (United States)

    Yen, Shiao-Ping S. (Inventor); Rembaum, Alan (Inventor); Landel, Robert F. (Inventor)

    1981-01-01

    Functional magnetic particles are formed by dissolving a mucopolysaccharide such as chitosan in acidified aqueous solution containing a mixture of ferrous chloride and ferric chloride. As the pH of the solution is raised magnetite is formed in situ in the solution by raising the pH. The dissolved chitosan is a polyelectrolyte and forms micelles surrounding the granules at pH of 8-9. The chitosan precipitates on the granules to form microspheres containing the magnetic granules. On addition of the microspheres to waste aqueous streams containing dissolved ions, the hydroxyl and amine functionality of the chitosan forms chelates binding heavy metal cations such as lead, copper, and mercury and the chelates in turn bind anions such as nitrate, fluoride, phosphate and borate.

  4. Functional Biomimetic Architectures

    Science.gov (United States)

    Levine, Paul M.

    N-substituted glycine oligomers, or 'peptoids,' are a class of sequence--specific foldamers composed of tertiary amide linkages, engendering proteolytic stability and enhanced cellular permeability. Peptoids are notable for their facile synthesis, sequence diversity, and ability to fold into distinct secondary structures. In an effort to establish new functional peptoid architectures, we utilize the copper-catalyzed azide-alkyne [3+2] cycloaddition (CuAAC) reaction to generate peptidomimetic assemblies bearing bioactive ligands that specifically target and modulate Androgen Receptor (AR) activity, a major therapeutic target for prostate cancer. Additionally, we explore chemical ligation protocols to generate semi-synthetic hybrid biomacromolecules capable of exhibiting novel structures and functions not accessible to fully biosynthesized proteins.

  5. Functionalization of Carbon Nanotubes

    Science.gov (United States)

    Khare, Bishun N. (Inventor); Meyyappan, Meyya (Inventor)

    2009-01-01

    Method and system for functionalizing a collection of carbon nanotubes (CNTs). A selected precursor gas (e.g., H2 or F2 or CnHm) is irradiated to provide a cold plasma of selected target species particles, such as atomic H or F, in a first chamber. The target species particles are d irected toward an array of CNTs located in a second chamber while suppressing transport of ultraviolet radiation to the second chamber. A CNT array is functionalized with the target species particles, at or below room temperature, to a point of saturation, in an exposure time interval no longer than about 30 sec. *Discrimination against non-target species is provided by (i) use of a target species having a lifetime that is much greater than a lifetime of a non-target species and/or (2) use of an applied magnetic field to discriminate between charged particle trajectories for target species and for non-target species.

  6. Vestnorden. A functional region?

    Directory of Open Access Journals (Sweden)

    Grétar Þór Eyþórsson

    2013-06-01

    Full Text Available This article discusses the issue of what kind of a region Vestnorden is. The need for such a discussion arises from the challenges posed by globalisation for the idea and construction of the West Nordic space, and the need to observe how this regional unit counters these processes. The article is based on an analytical framework which presupposes that a functional region has to consist of four elements. First, whether the space has its own institutions for decision making; second, how far there is economic complementarities among the involved nations and territories; third, to what degree they have common economic interests; and finally, to what extent social, cultural and historical ties exist between the territories involved. The article argues that there is an urgent need to discuss and reorient the institutional functionality of Vestnorden as a regional unit.

  7. Functional foods in Europe

    DEFF Research Database (Denmark)

    Bech-Larsen, Tino; Scholderer, Joachim

    2007-01-01

    reading of the main principles of the harmonized regulation COM/2003/0424, this situation is about to change. This article reviews the regulatory aspects, the results of consumer research and the marketing strategies regarding the use of health claims for functional foods in Europe, and it comments......The fact that the European markets for functional foods generally are less developed, compared to the US and the Japanese markets, has often been attributed to a restrictive and inconsistent health claim legislation in and between the European countries. With the European Parliament's second...... on the lack of correspondence between the new regulation and the marketing experiences and research as regard consumer reactions to health claims....

  8. PUBLIC FINANCE FUNCTIONS

    Directory of Open Access Journals (Sweden)

    VEZURE OANA SABINA

    2011-09-01

    Full Text Available The emergence of public finances is due to objective causes needs and determined their main function being to obtain the financial resources it needs for the State to exercise its powers and on the way to intervene in the economy and society general. Public finances are necessary, subjectively and objectively, as it contributes to accomplishing the tasks and functions of the state, which could not be realized without financial leverage. Public finances are inextricably linked to the existence of the state, and public sector's role in the economy. Thus, they express "social relations, economic arising in the establishment and use of public funds between the state, on the one hand, and members of society on the other hand, to meet the needs of general interest of society" [1]. Thus, the role of public finance is to meet the needs of general interest or collective needs.

  9. Subtypes of functional dyspepsia

    Institute of Scientific and Technical Information of China (English)

    Georgina Baker; Robert J Fraser; Graeme Young

    2006-01-01

    Functional dyspepsia is a common clinical condition characterised by chronic or recurrent upper abdominal pain or discomfort commonly associated with a variety of associated gastrointestinal symptoms and a normal endoscopy. To standardise research-based approaches,an initial categorisation of into sub groups was agreed to, based on clusters of symptoms. However the early expectation that these subgroups would be associated with distinct pathophysiologies amenable to specific therapy has not been realised. A classification based on the most troublesome symptom has been suggested but the utility of this is also unclear. More recent data suggest that some of the pathophysiologic dysfunctions may be associated with specific symptoms and so provide a better tool for grouping patients. But this approach remains incomplete as current insights into the pathogenesis are still too limited for this to be satisfactory. In conclusion, no classification provides for an adequate treatment-based approach to the syndrome of functional dyspepsia. As a consequence treatment remains largely empiric.

  10. Skin barrier function

    DEFF Research Database (Denmark)

    2016-01-01

    Renowned experts present the latest knowledge Although a very fragile structure, the skin barrier is probably one of the most important organs of the body. Inward/out it is responsible for body integrity and outward/in for keeping microbes, chemicals, and allergens from penetrating the skin. Since...... the role of barrier integrity in atopic dermatitis and the relationship to filaggrin mutations was discovered a decade ago, research focus has been on the skin barrier, and numerous new publications have become available. This book is an interdisciplinary update offering a wide range of information...... on the subject. It covers new basic research on skin markers, including results on filaggrin and on methods for the assessment of the barrier function. Biological variation and aspects of skin barrier function restoration are discussed as well. Further sections are dedicated to clinical implications of skin...

  11. Nuclear Parton Distribution Functions

    Energy Technology Data Exchange (ETDEWEB)

    I. Schienbein, J.Y. Yu, C. Keppel, J.G. Morfin, F. Olness, J.F. Owens

    2009-06-01

    We study nuclear effects of charged current deep inelastic neutrino-iron scattering in the framework of a {chi}{sup 2} analysis of parton distribution functions (PDFs). We extract a set of iron PDFs which are used to compute x{sub Bj}-dependent and Q{sup 2}-dependent nuclear correction factors for iron structure functions which are required in global analyses of free nucleon PDFs. We compare our results with nuclear correction factors from neutrino-nucleus scattering models and correction factors for charged-lepton--iron scattering. We find that, except for very high x{sub Bj}, our correction factors differ in both shape and magnitude from the correction factors of the models and charged-lepton scattering.

  12. Sexual function and obesity

    DEFF Research Database (Denmark)

    Larsen, S H; Wagner, G; Heitmann, B L

    2007-01-01

    OBJECTIVE: To review the literature on the relationship between obesity and sexual function. METHOD: A search in the medical literature from 1966 and onwards was carried out through Medline and Embase for publications on obesity, in combination with Medical Subject Heading words related to sexual...... function and dysfunction. COMMENTS: Four prospective and seven cross-sectional studies were found describing association between obesity and erectile dysfunction (ED). One cross-sectional study was found describing obesity and female sexual dysfunction (FSD). The prospective studies on ED all demonstrated...... activity among both men and women after weight loss intervention. CONCLUSION: Support for the assumption that obesity is associated with ED was found in both prospective and cross-sectional studies. FSD was not adequately described in the literature and prospective studies are needed here. Results from...

  13. Physically Functional Materials

    OpenAIRE

    Berg, Rolf Henrik; Hvilsted, Søren; Ramanujam, P.S.

    2002-01-01

    The invention relates to novel monodisperse or polydisperse compounds, in general named DNO (diamino acid Nalpha-substituted oligopeptides), preferably low molecular weight polypeptides, e.g., based on ornithine, lysine, diaminobutyric acid, diaminopropionic acid, aminoethylglycine or other amino acids or peptides having azobenzenes or other physicially functional groups, e.g., photoresponsive groups, as side chains. These compounds may be synthesized using solid phase peptide synthesis techn...

  14. Holographic c-Function

    CERN Document Server

    Haque, S Shajidul

    2016-01-01

    We propose a simple and generic holographic $c$-function that is defined purely from geometry by using the non-affine expansion for null congruences. We examined the proposal for BPS black solutions in $\\mathcal{N}=2$ gauged supergravity that interpolate between two different dimensional AdS spacetimes and also for domain wall solutions. Moreover, we commented on the relation of this geometric proposal with the one from the holographic entanglement entropy.

  15. Generalised twisted partition functions

    CERN Document Server

    Petkova, V B

    2001-01-01

    We consider the set of partition functions that result from the insertion of twist operators compatible with conformal invariance in a given 2D Conformal Field Theory (CFT). A consistency equation, which gives a classification of twists, is written and solved in particular cases. This generalises old results on twisted torus boundary conditions, gives a physical interpretation of Ocneanu's algebraic construction, and might offer a new route to the study of properties of CFT.

  16. Design of Functional Metalloproteins

    OpenAIRE

    Lu, Yi; Yeung, Natasha; Sieracki, Nathan; Marshall, Nicholas M.

    2009-01-01

    Metalloproteins catalyze some of the most difficult and yet important functions in Nature, such as photosynthesis and water oxidation. An ultimate test of our knowledge of how metalloproteins work is by designing novel metalloproteins. Such design can not only reveal hidden structural features that may be missing from studies of native metalloproteins and their variants, but also result in new metalloenzymes for biotechnological and pharmaceutical applications. While it is much more challengi...

  17. Which impulse response function?

    OpenAIRE

    2011-01-01

    This paper compares standard and local projection techniques in the production of impulse response functions both theoretically and empirically. Through careful selection of a structural decomposition, the comparison continues to an application of US data to the textbook ISLM model. It is argued that local projection techniques offer a remedy to the bias of the conventional method especially at horizons longer than the vector autoregression's lag length. The application highlights that the te...

  18. Analyzing Pseudophosphatase Function.

    Science.gov (United States)

    Hinton, Shantá D

    2016-01-01

    Pseudophosphatases regulate signal transduction cascades, but their mechanisms of action remain enigmatic. Reflecting this mystery, the prototypical pseudophosphatase STYX (phospho-serine-threonine/tyrosine-binding protein) was named with allusion to the river of the dead in Greek mythology to emphasize that these molecules are "dead" phosphatases. Although proteins with STYX domains do not catalyze dephosphorylation, this in no way precludes their having other functions as integral elements of signaling networks. Thus, understanding their roles in signaling pathways may mark them as potential novel drug targets. This chapter outlines common strategies used to characterize the functions of pseudophosphatases, using as an example MK-STYX [mitogen-activated protein kinase (MAPK) phospho-serine-threonine/tyrosine binding], which has been linked to tumorigenesis, apoptosis, and neuronal differentiation. We start with the importance of "restoring" (when possible) phosphatase activity in a pseudophosphatase so that the active mutant may be used as a comparison control throughout immunoprecipitation and mass spectrometry analyses. To this end, we provide protocols for site-directed mutagenesis, mammalian cell transfection, co-immunoprecipitation, phosphatase activity assays, and immunoblotting that we have used to investigate MK-STYX and the active mutant MK-STYXactive. We also highlight the importance of utilizing RNA interference (RNAi) "knockdown" technology to determine a cellular phenotype in various cell lines. Therefore, we outline our protocols for introducing short hairpin RNA (shRNA) expression plasmids into mammalians cells and quantifying knockdown of gene expression with real-time quantitative PCR (qPCR). A combination of cellular, molecular, biochemical, and proteomic techniques has served as powerful tools in identifying novel functions of the pseudophosphatase MK-STYX. Likewise, the information provided here should be a helpful guide to elucidating the

  19. Vestibular function testing.

    LENUS (Irish Health Repository)

    Lang, E E

    2010-06-01

    Vestibular symptoms of vertigo, dizziness and dysequilibrium are common complaints which can be disabling both physically and psychologically. Routine examination of the ear nose and throat and neurological system are often normal in these patients. An accurate history and thorough clinical examination can provide a diagnosis in the majority of patients. However, in a subgroup of patients, vestibular function testing may be invaluable in arriving at a correct diagnosis and ultimately in the optimal treatment of these patients.

  20. Heart function and hemodynamics

    Institute of Scientific and Technical Information of China (English)

    1993-01-01

    930054 Clinical assessment of left ventricularfunction by equilibrium radionuclide ventriculo-graphy before and after mitral valve replace-ment.CHU Yinping(褚银平),et al.2nd Hosp,Shanxi Med Coll,Taiyuan.Chin Cir J 1992;7(5):457-458.Equilibrium radionuclide ventriculographywas used to estimate the left ventricular(LV)function in control subjects(Group 1;n=8)and in 24 patients of mitral valvular diseasesChina Medical Abstracts(Internal Medicine)

  1. Applied functional analysis

    CERN Document Server

    Oden, J Tinsley

    2010-01-01

    The textbook is designed to drive a crash course for beginning graduate students majoring in something besides mathematics, introducing mathematical foundations that lead to classical results in functional analysis. More specifically, Oden and Demkowicz want to prepare students to learn the variational theory of partial differential equations, distributions, and Sobolev spaces and numerical analysis with an emphasis on finite element methods. The 1996 first edition has been used in a rather intensive two-semester course. -Book News, June 2010

  2. Notes on the ellipsoidal function

    CERN Document Server

    Liang, Chang-Hong

    2017-01-01

    This book focuses on the ellipsoidal function, which serves as an evolution and extension of the circular function (trigonometric function) and elliptic function. It presents an in-depth discussion of the ellipsoidal function (algebra) theory and the conformal mapping (geometry) theory of the ellipsoid function, demonstrating the outstanding performance of the ellipsoid function response filter. Applications of the ellipsoidal function include the capacitance of ellipsoidal conductors and the surface area of ellipsoids, which in turn correspond to ellipsoidal integrals of the first kind and the second kind, respectively. The book offers a valuable reference guide for undergraduates, graduate students and researchers in the related fields. .

  3. Remarks on Shintani's zeta function

    OpenAIRE

    Wakayama, Masato

    2005-01-01

    We introduce a zeta function attached to a representation of a group. We show that the multi-dimensional zeta function due to Shintani [Sh 1], which is a generalization of the multiple Hurwitz zeta function, can be obtained in this framework. We also construct a gamma function from the zeta function attached to a representation via zeta regularization. We study then a $q$-analogue of the Shintani zeta function and the corresponding gamma function. A sine function defined via the reflection fo...

  4. Posttraumatic functional movement disorders.

    Science.gov (United States)

    Ganos, C; Edwards, M J; Bhatia, K P

    2017-01-01

    Traumatic injury to the nervous system may account for a range of neurologic symptoms. Trauma location and severity are important determinants of the resulting symptoms. In severe head injury with structural brain abnormalities, the occurrence of trauma-induced movement disorders, most commonly hyperkinesias such as tremor and dystonia, is well recognized and its diagnosis straightforward. However, the association of minor traumatic events, which do not lead to significant persistent structural brain damage, with the onset of movement disorders is more contentious. The lack of clear clinical-neuroanatomic (or symptom lesion) correlations in these cases, the variable timing between traumatic event and symptom onset, but also the presence of unusual clinical features in a number of such patients, which overlap with signs encountered in patients with functional neurologic disorders, contribute to this controversy. The purpose of this chapter is to provide an overview of the movement disorders, most notably dystonia, that have been associated with peripheral trauma and focus on their unusual characteristics, as well as their overlap with functional neurologic disorders. We will then provide details on pathophysiologic views that relate minor peripheral injuries to the development of movement disorders and compare them to knowledge from primary organic and functional movement disorders. Finally, we will comment on the appropriate management of these disorders.

  5. Functions of multivector variables.

    Science.gov (United States)

    Chappell, James M; Iqbal, Azhar; Gunn, Lachlan J; Abbott, Derek

    2015-01-01

    As is well known, the common elementary functions defined over the real numbers can be generalized to act not only over the complex number field but also over the skew (non-commuting) field of the quaternions. In this paper, we detail a number of elementary functions extended to act over the skew field of Clifford multivectors, in both two and three dimensions. Complex numbers, quaternions and Cartesian vectors can be described by the various components within a Clifford multivector and from our results we are able to demonstrate new inter-relationships between these algebraic systems. One key relationship that we discover is that a complex number raised to a vector power produces a quaternion thus combining these systems within a single equation. We also find a single formula that produces the square root, amplitude and inverse of a multivector over one, two and three dimensions. Finally, comparing the functions over different dimension we observe that Cl(R(3)) provides a particularly versatile algebraic framework.

  6. Functions of multivector variables.

    Directory of Open Access Journals (Sweden)

    James M Chappell

    Full Text Available As is well known, the common elementary functions defined over the real numbers can be generalized to act not only over the complex number field but also over the skew (non-commuting field of the quaternions. In this paper, we detail a number of elementary functions extended to act over the skew field of Clifford multivectors, in both two and three dimensions. Complex numbers, quaternions and Cartesian vectors can be described by the various components within a Clifford multivector and from our results we are able to demonstrate new inter-relationships between these algebraic systems. One key relationship that we discover is that a complex number raised to a vector power produces a quaternion thus combining these systems within a single equation. We also find a single formula that produces the square root, amplitude and inverse of a multivector over one, two and three dimensions. Finally, comparing the functions over different dimension we observe that Cl(R(3 provides a particularly versatile algebraic framework.

  7. [Functional hypothalamic amenorrhea].

    Science.gov (United States)

    Stárka, Luboslav; Dušková, Michaela

    2015-10-01

    Functional hypothalamic amenorrhea (FHA) besides pregnancy and syndrome of polycystic ovary is one of the most common causes of secondary amenorrhea. FHA results from the aberrations in pulsatile gonadotropin-releasing hormone (GnRH) secretion, which in turn causes impairment of the gonadotropins (follicle-stimulating hormone and luteinizing hormone). FHA is a form of the defence of organism in situations where life functions are more important than reproductive function. FHA is reversible; it can be normalized after ceasing the stress situation. There are three types of FHA: weight loss related, stress-related, and exercise-related amenorrhea. The final consequences are complex hormonal changes manifested by profound hypoestrogenism. Additionally, these patients present mild hypercortisolemia, low serum insulin levels, low insulin-like growth factor 1 (IGF-1) and low total triiodothyronine. Women health in this disorder is disturbed in several aspects including the skeletal system, cardiovascular system, and mental problems. Patients manifest a decrease in bone mass density, which is related to an increase in fracture risk. Therefore, osteopenia and osteoporosis are the main long-term complications of FHA. Cardiovascular complications include endothelial dysfunction and abnormal changes in the lipid profile. FHA patients present significantly higher depression and anxiety and also sexual problems compared to healthy subjects.

  8. Lipids and immune function.

    Science.gov (United States)

    Vitale, J J; Broitman, S A

    1981-09-01

    There is in vitro and in vivo evidence to suggest that dietary lipids play a role in modulating immune function. A review of the current literature on the interrelationships among dietary lipids, blood cholesterol levels, immunosuppression, and tumorigenesis makes for a very strong argument that (a) immunosuppression may be causally related to lymphoproliferative disorders, as well as to tumorigenesis and (b) diets high in polyunsaturated fat, relative to diets high in saturated fat, are more immunosuppressive and are better promotors of tumorigenesis. The effects of dietary fat on immune function seem to be mediated though its component parts, the unsaturated fatty acids, specially linoleic, linolenic, and arachidonic. It is not clear how these components affect immune function. Several studies suggest that one effect is mediated by altering the lipid component of the cell membrane and thus its fluidity; the more fluid the membrane, the less responsive it is. Thus, fluidity of both immune cells and those to be destroyed or protected may be affected. The effects of saturated as well as unsaturated fatty acids may be mediated by modulating serum lipoprotein levels, prostaglandin metabolism, and cholesterol concentrations and metabolism.

  9. Composing decoherence functionals

    CERN Document Server

    Boes, Paul

    2016-01-01

    Quantum Measure Theory (QMT) is a generalization of quantum theory where physical predictions are computed from a matrix known as decoherence functional (DF). Previous works have noted that, in its original formulation, QMT exhibits a problem with composability, since the composition of two decoherence functionals is, in general, not a valid decoherence functional. This does not occur when the DFs in question happen to be positive semidefinite (a condition known as strong positivity). In this paper, we study the concept of composability of DFs and its consequences for QMT. First, using the notion of composability, we settle an old problem in QMT regarding the definition of decoherent histories. Then we show that the problem of composability is much deeper than originally envisaged, since, for any $n$, there exists a DF that can co-exist with $n-1$ copies of itself, but not with $n$. Finally, we prove that the set of strongly positive DFs cannot be enlarged while remaining closed under composition. Furthermore...

  10. Functional neuropeptidomics in invertebrates.

    Science.gov (United States)

    De Haes, Wouter; Van Sinay, Elien; Detienne, Giel; Temmerman, Liesbet; Schoofs, Liliane; Boonen, Kurt

    2015-07-01

    Neuropeptides are key messengers in almost all physiological processes. They originate from larger precursors and are extensively processed to become bioactive. Neuropeptidomics aims to comprehensively identify the collection of neuropeptides in an organism, organ, tissue or cell. The neuropeptidome of several invertebrates is thoroughly explored since they are important model organisms (and models for human diseases), disease vectors and pest species. The charting of the neuropeptidome is the first step towards understanding peptidergic signaling. This review will first discuss the latest developments in exploring the neuropeptidome. The physiological roles and modes of action of neuropeptides can be explored in two ways, which are largely orthogonal and therefore complementary. The first way consists of inferring the functions of neuropeptides by a forward approach where neuropeptide profiles are compared under different physiological conditions. Second is the reverse approach were neuropeptide collections are used to screen for receptor-binding. This is followed by localization studies and functional tests. This review will focus on how these different functional screening methods contributed to the field of invertebrate neuropeptidomics and expanded our knowledge of peptidergic signaling. This article is part of a Special Issue entitled: Neuroproteomics: Applications in Neuroscience and Neurology.

  11. Functionalized Amorphous Aluminosilicates

    Science.gov (United States)

    Mesgar, Milad

    Alkali treated aluminosilicate (geopolymer) was functionalized by surfactant to increase the hydrophobicity for making Pickering emulsion for the first part of this work. In the first part of this study, alkali treated metakaolin was functionalized with cetyltrimethylammonium bromide ((C16H33)N(CH 3)3Br, CTAB). The electrostatic interaction between this quaternary ammonium and the surface of the aluminosilicate which has negative charge has taken place. The particles then were used to prepare Pickering emulsion. The resulting stable dispersions, obtained very fast at very simple conditions with low ratio of aluminosilicate to liquid phase. In the second part, the interaction between geopolymer and glycerol was studied to see the covalent grafting of the geopolymer for making geopolymer composite. The composite material would be the basis material to be used as support catalyst, thin coating reagent and flame retardant material and so on, Variety of techniques, Thermogravimetric (TGA), Particle-induced X-ray emission (PIXE), FTIR, Solid state NMR, Powder X-ray diffraction (PXRD), BET surface area, Elemental analysis (CHN), TEM, SEM and Optical microscopy were used to characterize the functionalized geopolymer.

  12. Lutein and Brain Function

    Directory of Open Access Journals (Sweden)

    John W. Erdman

    2015-10-01

    Full Text Available Lutein is one of the most prevalent carotenoids in nature and in the human diet. Together with zeaxanthin, it is highly concentrated as macular pigment in the foveal retina of primates, attenuating blue light exposure, providing protection from photo-oxidation and enhancing visual performance. Recently, interest in lutein has expanded beyond the retina to its possible contributions to brain development and function. Only primates accumulate lutein within the brain, but little is known about its distribution or physiological role. Our team has begun to utilize the rhesus macaque (Macaca mulatta model to study the uptake and bio-localization of lutein in the brain. Our overall goal has been to assess the association of lutein localization with brain function. In this review, we will first cover the evolution of the non-human primate model for lutein and brain studies, discuss prior association studies of lutein with retina and brain function, and review approaches that can be used to localize brain lutein. We also describe our approach to the biosynthesis of 13C-lutein, which will allow investigation of lutein flux, localization, metabolism and pharmacokinetics. Lastly, we describe potential future research opportunities.

  13. Hexagonalization of Correlation Functions

    CERN Document Server

    Fleury, Thiago

    2016-01-01

    We propose a nonperturbative framework to study general correlation functions of single-trace operators in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory at large $N$. The basic strategy is to decompose them into fundamental building blocks called the hexagon form factors, which were introduced earlier to study structure constants using integrability. The decomposition is akin to a triangulation of a Riemann surface, and we thus call it hexagonalization. We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios. Our method is conceptually different from the conventional operator product expansion and automatically takes into account multi-trace operators exchanged in OPE channels. To illustrate the idea in simple set-ups, we compute four-point functions of BPS operators of arbitrary lengths and correlation functions of one Konishi operator and three short BPS operators, all at one loop. In all cases,...

  14. 基于成像清晰度函数的非球面反射镜位置校正实验研究∗%Exp erimental research of alignment error correction by aspheric mirror based on the function of imaging quality

    Institute of Scientific and Technical Information of China (English)

    周龙峰; 张昂; 张俊波; 樊新龙; 魏凌; 陈善球; 鲜浩

    2016-01-01

    Image definition will be influenced by alignment errors of mirrors in an optical system consisting of hyperbolic, parabolic or ellipse mirrors. The major factors of alignment errors are gravity, wind loads and heat exchange for some optical systems like ground-based telescopes, while vibration and temperature gradient for systems like space telescopes. Larger telescopes are more sensitive to these error sources, which becomes the concerns of researchers. So the alignment errors of mirrors must be corrected in time to keep systems working in best condition. In order to solve the problem, many methods are proposed based on the detection of wave-front errors using wave-front sensors like Hartmann-Shack. However, wave-front sensors may not be used or cause optical systems to be more complicated. For example, multi-fields must be tested when telescope is working. On the one hand, if a wave-front sensor is used, it must be moved around imaging plane, on the other hand, if more wave-front sensors are used, system must be more complicated. So a new method is discussed for alignment error correction by evaluating the quality of spot diagrams based on the using of stochastic parallel gradient descent (SPGD) algorithm. The method considers the performance metric like spot diagram radius as a function of control parameters and then uses the SPGD optimization algorithm to improve the performance metric. The control parameters include positions of mirrors. The iteration process must be used in the right way to control position parameters. If it is not considered, a problem may come up that positions of spot diagrams may be influenced by the iteration. Furthermore, spot diagrams will probably disappear from detectors. Then the radii of spot diagrams are not correct. So a better way is put forward by the combination of de-center and tilt of mirrors. The way ensures that the position error produced by de-center and tilt are compensated for. A formula is provided in this paper to

  15. A CLASS OF FUNCTIONAL EQUATION AND FRACTAL INTERPOLATION FUNCTIONS

    Institute of Scientific and Technical Information of China (English)

    ShaZhen

    1999-01-01

    A new class of functional equation in C0(I) is investigated. It is proved that some class of FIF satisfies the functional equation. Another functional equation is constructed. Theirsolutions can approximate FIF arbitrarily. And a new approximate estimate between FIF andinterpolated function is given.

  16. [Functional pathophysiology of consciousness].

    Science.gov (United States)

    Jellinger, Kurt A

    2009-01-01

    Consciousness (Latin conscientia "moral conscience"), according to the English philosopher John Locke (1632-1704) [103], is the awareness of all that occurs in the mind of a person, whereas the American philosopher John Searle (2000) defined it as "inner qualitative, subjective states and processes of awareness". In modern science it is defined as a continuous state of full awareness of the Self and one's relationship to the external and internal environment, describing the degree of wakefulness in which an organism recognizes stimuli. This widely discussed biological term for complex neuronal processes that allow an individuum to recognize itself and its environment and to act accordingly, has been and still is the subject of much research in philosophy and natural/neuroscience. Its definition is often used for awareness and recognition, too. While the Egyptians in the papyrus Edwin Smith already recognized the brain as the seat of consciousness, René Descartes (1644 [36]) believed its special structure should be "a small gland in the middle", but the anatomical structures and physiological processes involved in consciousness were elucidated only in the middle of the 20th century. Neuronal substrates include several functional networks that are hierarchically organized and cooperate functionally. The lowest level is the mesencephalic formatio reticularis and its projections to the thalamus that were identified als ascending reticular system (ARAS) by the classical experiments of Moruzzi and Magoun, whereas later analyses of patients with impaired consciousness provided further insights. The mesencephalic ARAS as motor of the function of higher structures projects 1. via the reticular thalamus diffusely to the cortex, 2. via hypothalamus to the basal forebrain and limbic system, and 3. to the medial raphe of the brainstem and locus coeruleus and their diffuse cortical projections. The reticular system is stimulated directly and indirectly via numerous collaterals

  17. Collision-resistant hash function based on composition of functions

    CERN Document Server

    Ndoundam, Rene

    2011-01-01

    cryptographic hash function is a deterministic procedure that compresses an arbitrary block of numerical data and returns a fixed-size bit string. There exist many hash functions: MD5, HAVAL, SHA, ... It was reported that these hash functions are not longer secure. Our work is focused in the construction of a new hash function based on composition of functions. The construction used the NP-completeness of Three-dimensional contingency tables and the relaxation of the constraint that a hash function should also be a compression function.

  18. Log-supermodular functions, functional clones and counting CSPs

    CERN Document Server

    Bulatov, Andrei A; Goldberg, Leslie Ann; Jerrum, Mark

    2011-01-01

    Motivated by a desire to understand the computational complexity of counting constraint satisfaction problems (counting CSPs), particularly the complexity of approximation, we study functional clones of functions on the Boolean domain, which are analogous to the familiar relational clones constituting Post's lattice. One of these clones is the collection of log-supermodular (lsm) functions, which turns out to play a significant role in classifying counting CSPs. In our study, we assume that non-negative unary functions (weights) are available. Given this, we prove that there are no functional clones lying strictly between the clone of lsm functions and the total clone (containing all functions). Thus, any counting CSP that contains a single non-lsm function is computationally as hard as any problem in #P. Furthermore, any non-trivial functional clone (in a sense that will be made precise below) contains the binary function "implies". As a consequence, all non-trivial counting CSPs (with non-negative unary wei...

  19. Functions and graphs

    CERN Document Server

    Gelfand, I M; Shnol, E E

    2002-01-01

    The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature step-by-step diagrams for the complete construction of each graph. The first part of the book employs simple fu

  20. DNA: Structure and function

    DEFF Research Database (Denmark)

    Sinden, Richard R.; E. Pearson, Christopher; N. Potaman, Vladimir

    1998-01-01

    This chapter discusses the structure and function of DNA. DNA occupies a critical role in cells, because it is the source of all intrinsic genetic information. Chemically, DNA is a very stable molecule, a characteristic important for a macromolecule that may have to persist in an intact form...... for a long period of time before its information is accessed by the cell. Although DNA plays a critical role as an informational storage molecule, it is by no means as unexciting as a computer tape or disk drive. The structure of the DNA described by Watson and Crick in 1953 is a right handed helix of two...

  1. Matrix string partition function

    CERN Document Server

    Kostov, Ivan K; Kostov, Ivan K.; Vanhove, Pierre

    1998-01-01

    We evaluate quasiclassically the Ramond partition function of Euclidean D=10 U(N) super Yang-Mills theory reduced to a two-dimensional torus. The result can be interpreted in terms of free strings wrapping the space-time torus, as expected from the point of view of Matrix string theory. We demonstrate that, when extrapolated to the ultraviolet limit (small area of the torus), the quasiclassical expressions reproduce exactly the recently obtained expression for the partition of the completely reduced SYM theory, including the overall numerical factor. This is an evidence that our quasiclassical calculation might be exact.

  2. Functional properties of vinegar.

    Science.gov (United States)

    Budak, Nilgün H; Aykin, Elif; Seydim, Atif C; Greene, Annel K; Guzel-Seydim, Zeynep B

    2014-05-01

    A variety of natural vinegar products are found in civilizations around the world. A review of research on these fermented products indicates numerous reports of health benefits derived by consumption of vinegar components. Therapeutic effects of vinegar arising from consuming the inherent bioactive components including acetic acid, gallic acid, catechin, ephicatechin, chlorogenic acid, caffeic acid, p-coumaric acid, and ferulic acid cause antioxidative, antidiabetic, antimicrobial, antitumor, antiobesity, antihypertensive, and cholesterol-lowering responses. The aims of this article are to discuss vinegar history, production, varieties, acetic acid bacteria, and functional properties of vinegars.

  3. Recharge Response Functions

    Directory of Open Access Journals (Sweden)

    A. Calver

    1997-01-01

    Full Text Available This paper explores the establishment of transfer functions for describing the annual oscillation of unconfined aquifer water levels in response to effective precipitation. A simple saturated zone representation is developed to accompany the unsaturated zone mechanism. Practical examples are drawn from a sample of sites from the chalk and the Permo-Triassic sandstones of England and Wales. Modelled water levels are in many cases good. The technique is most appropriate within the usual range of fluctuation of aquifer water level, with no great change in influence of abstractions, and when it is acceptable to approximate the complexity of unsaturated zone processes in practical analysis.

  4. Fabrics in Function

    DEFF Research Database (Denmark)

    Bang, Anne Louise

    2007-01-01

    to the establishment of an initial framework for the project it has a focus on how to explore costumers and users emotional experiences with fabrics. The three year research project is based on experimental design research and the textile designer's competences and knowledge. During the research project exploring...... sensing of fabrics in function. It is proposed that tactile and visual sensing of fabrics is a way to investigate and express emotional utility values. The further purpose is to use experiments with repertory grid models as part of the mapping of the entire research project and also as a basis...

  5. Design of functional metalloproteins.

    Science.gov (United States)

    Lu, Yi; Yeung, Natasha; Sieracki, Nathan; Marshall, Nicholas M

    2009-08-13

    Metalloproteins catalyse some of the most complex and important processes in nature, such as photosynthesis and water oxidation. An ultimate test of our knowledge of how metalloproteins work is to design new metalloproteins. Doing so not only can reveal hidden structural features that may be missing from studies of native metalloproteins and their variants, but also can result in new metalloenzymes for biotechnological and pharmaceutical applications. Although it is much more challenging to design metalloproteins than non-metalloproteins, much progress has been made in this area, particularly in functional design, owing to recent advances in areas such as computational and structural biology.

  6. The hash function BLAKE

    CERN Document Server

    Aumasson, Jean-Philippe; Phan, Raphael; Henzen, Luca

    2014-01-01

    This is a comprehensive description of the cryptographic hash function BLAKE, one of the five final contenders in the NIST SHA3 competition, and of BLAKE2, an improved version popular among developers. It describes how BLAKE was designed and why BLAKE2 was developed, and it offers guidelines on implementing and using BLAKE, with a focus on software implementation.   In the first two chapters, the authors offer a short introduction to cryptographic hashing, the SHA3 competition, and BLAKE. They review applications of cryptographic hashing, they describe some basic notions such as security de

  7. Bayes multiple decision functions.

    Science.gov (United States)

    Wu, Wensong; Peña, Edsel A

    2013-01-01

    This paper deals with the problem of simultaneously making many (M) binary decisions based on one realization of a random data matrix X. M is typically large and X will usually have M rows associated with each of the M decisions to make, but for each row the data may be low dimensional. Such problems arise in many practical areas such as the biological and medical sciences, where the available dataset is from microarrays or other high-throughput technology and with the goal being to decide which among of many genes are relevant with respect to some phenotype of interest; in the engineering and reliability sciences; in astronomy; in education; and in business. A Bayesian decision-theoretic approach to this problem is implemented with the overall loss function being a cost-weighted linear combination of Type I and Type II loss functions. The class of loss functions considered allows for use of the false discovery rate (FDR), false nondiscovery rate (FNR), and missed discovery rate (MDR) in assessing the quality of decision. Through this Bayesian paradigm, the Bayes multiple decision function (BMDF) is derived and an efficient algorithm to obtain the optimal Bayes action is described. In contrast to many works in the literature where the rows of the matrix X are assumed to be stochastically independent, we allow a dependent data structure with the associations obtained through a class of frailty-induced Archimedean copulas. In particular, non-Gaussian dependent data structure, which is typical with failure-time data, can be entertained. The numerical implementation of the determination of the Bayes optimal action is facilitated through sequential Monte Carlo techniques. The theory developed could also be extended to the problem of multiple hypotheses testing, multiple classification and prediction, and high-dimensional variable selection. The proposed procedure is illustrated for the simple versus simple hypotheses setting and for the composite hypotheses setting

  8. Computing with Harmonic Functions

    OpenAIRE

    Axler, Sheldon

    2015-01-01

    This document is the manual for a free Mathematica package for computing with harmonic functions. This package allows the user to make calculations that would take a prohibitive amount of time if done without a computer. For example, the Poisson integral of any polynomial can be computed exactly. This software can find exact solutions to Dirichlet, Neumann, and biDirichlet problems in R^n with polynomial data on balls, ellipsoids, and annular regions. It can also find bases for spaces of sphe...

  9. Billiards correlation functions

    CERN Document Server

    Pedro, G; Pedro, Garrido; Giovanni, Gallavotti

    1993-01-01

    Abstract: We discuss various experiments on the time decay of velocity autocorrelation functions in billiards. We perform new experiments and find results which are compatible with an exponential mixing hypothesis, first put forward by [FM]: they do not seem compatible with the stretched exponentials believed, in spite of [FM], to describe the mixing. The analysis led us to several byproducts: we obtain information about the normal diffusive nature of the motion and we consider the probability distribution of the number of collisions in time $t_m$ (as $t_m\\to\\io$) finding a strong dependence on some geometric characteristics of the locus of the billiards obstacles.

  10. Some Properties of Bent Functions

    Institute of Scientific and Technical Information of China (English)

    Ying Zhao

    2007-01-01

    First, this paper discusses and sums up some properties of a pair of functions p(x), q(x) that makes (y + 1)p(x) + yq(x) into a bent function. Then it discusses the properties of bent functions. Also, the upper and lower bounds of the number of bent functions on GF(2)2k are discussed.

  11. A Primer on Functional Analysis

    Science.gov (United States)

    Yoman, Jerome

    2008-01-01

    This article presents principles and basic steps for practitioners to complete a functional analysis of client behavior. The emphasis is on application of functional analysis to adult mental health clients. The article includes a detailed flow chart containing all major functional diagnoses and behavioral interventions, with functional assessment…

  12. Functional Foods for Women's Health.

    Science.gov (United States)

    Lindeman, Alice K.

    2002-01-01

    Describes functional foods for women's health (foods or food ingredients that provide health benefits beyond basic nutrition), explaining that both whole and modified foods can be included as functional foods. The paper discusses the history, regulation, and promotion of functional foods; consumer interest in functional foods; how to incorporate…

  13. ESD - FUNCTIONAL CLOTHING

    Directory of Open Access Journals (Sweden)

    SCARLAT Razvan

    2016-05-01

    Full Text Available The functional clothing represents a sustainable development direction of in the field of technical textiles, a bridge between various activity domains, a solution to user’s complex requirements. The research and development potential in the field is supported by the new fibers/ yarns generation, the new technologies and the market niches, as well. Protective clothing is now a major part of textile classified under technical textile. Protective clothing refers to the garment and other fabric related items designed to protect the wearer from harsh environmental effects that results in injuries or death. The innovation, as a result of convergence processing technologies, consumer demands and what is viable on the market, defines the personal protective equipment field. In this article, we present the work of an ESD protective clothing development. Therefore, it has been applied a modern knitting technology, on 7E and 12E STOLL machines, using cotton and wool yarns as base yarn and conductive yarns for plaiting structures. Also, the optimal parameters establishment and the functional requirements are aspects of the research activity performed. The experimental models have been conducted in order to demonstrate the design concept used and choosing the optimal variant. The characterization of the developed experimental variants took into account the evaluation of physico-mechanical and electrical characteristics. From the electrical point of view, the variants have been mainly evaluated through “point to point” method in terms of electrical isolation efficiency dimensional changes analysis.

  14. Functional diversity of laminins.

    Science.gov (United States)

    Domogatskaya, Anna; Rodin, Sergey; Tryggvason, Karl

    2012-01-01

    Laminins are a large family of conserved, multidomain trimeric basement membrane proteins that contribute to the structure of extracellular matrix and influence the behavior of associated cells, such as adhesion, differentiation, migration, phenotype stability, and resistance to anoikis. In lower organisms such as Hydra there is only one isoform of laminin, but higher organisms have at least 16 trimeric isoforms with varying degrees of cell/tissue specificity. In vitro protein and cell culture studies, gene manipulation in animals, and laminin gene mutations in human diseases have provided insight into the specific functions of some laminins, but the biological roles of many isoforms are still largely unexplored, mainly owing to difficulties in isolating them in pure form from tissues or cells. In this review, we elucidate the evolution of laminins, describe their molecular complexity, and explore the current knowledge of their diversity and functional aspects, including laminin-mediated signaling via membrane receptors, in vitro cell biology, and involvement in various tissues gained from animal model and human disease studies. The potential use of laminins in cell biology research and biotechnology is discussed.

  15. Chitosan functional properties.

    Science.gov (United States)

    Shepherd, R; Reader, S; Falshaw, A

    1997-06-01

    Chitosan is a partially deacetylated polymer of N-acetyl glucosamine. It is essentially a natural, water-soluble, derivative of cellulose with unique properties. Chitosan is usually prepared from chitin (2 acetamido-2-deoxy beta-1,4-D-glucan) and chitin has been found in a wide range of natural sources (crustaceans, fungi, insects, annelids, molluscs, coelenterata etc.) However chitosan is only manufactured from crustaceans (crab and crayfish) primarily because a large amount of the crustacean exoskeleton is available as a by product of food processing. Squid pens (a waste byproduct of New Zealand squid processing) are a novel, renewable source of chitin and chitosan. Squid pens are currently regarded as waste and so the raw material is relatively cheap. This study was intended to assess the functional properties of squid pen chitosan. Chitosan was extracted from squid pens and assessed for composition, rheology, flocculation, film formation and antimicrobial properties. Crustacean chitosans were also assessed for comparison. Squid chitosan was colourless, had a low ash content and had significantly improved thickening and suspending properties. The flocculation capacity of squid chitosan was low in comparison with the crustacean sourced chitosans. However it should be possible to increase the flocculation capacity of squid pen chitosan by decreasing the degree of acetylation. Films made with squid chitosan were more elastic than crustacean chitosan with improved functional properties. This high quality chitosan could prove particularly suitable for medical/analytical applications.

  16. Functionalism and consciousness.

    Science.gov (United States)

    Shoemaker, S

    1993-01-01

    It is widely held that a mental state and the subject's introspective belief about it are always 'distinct existences' and only contingently connected. This suggests that for each sort of mental state there could be a creature that is introspectively 'blind' with respect to states of that sort, meaning that while it is capable of having such states, and of conceiving of itself as having them, it is totally without introspective access to its states of that sort. It is argued here that introspective blindness with respect to many sorts of mental states, in particular beliefs and sensory states, is not a possibility, because it is incompatible with requirements of rationality that are internal to the functional roles that are constitutive of these states. Introspective accessibility is essential to the functional roles of such mental states when the conceptual and cognitive resources of the subject of those states are sufficiently rich to make beliefs and thoughts about them a possibility. This is a version of the view that such states are necessarily self-intimating and is incompatible with the perceptual model of introspection favoured by some functionalists as well as by many non-functionalists.

  17. From mechanistic to functional behaviorism.

    Science.gov (United States)

    Moxley, R A

    1992-11-01

    A shift from mechanistic behaviorism to functional behaviorism is presented against the background of two historical traditions, one with an emphasis on form, the other with an emphasis on function. Skinner's work, which made more contributions to a functional behaviorism than to a mechanistic behaviorism, exemplifies this shift. The two traditions and an account of Skinner's development of functional relations are presented in order to show Skinner's contributions to aligning modern behavior analysis with the functional tradition.

  18. Construction of bent functions from near-bent functions

    DEFF Research Database (Denmark)

    Leander, Gregor; McGuire, G.

    2009-01-01

    We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m - 1. in particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction.......We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m - 1. in particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction....

  19. Integration a functional approach

    CERN Document Server

    Bichteler, Klaus

    1998-01-01

    This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might...

  20. Physically Functional Materials

    DEFF Research Database (Denmark)

    2002-01-01

    of information (holographic data storage), nonlinear optics (NLO), as photoconductors, photonic band-gap materials, electrically conducting materials, electroluminescent materials, piezo-electric materials, pyroelectric materials, magnetic materials, ferromagnetic materials, ferroelectric materials...... acids or peptides having azobenzenes or other physicially functional groups, e.g., photoresponsive groups, as side chains. These compounds may be synthesized using solid phase peptide synthesis techniques. Materials, e.g., thin films, comprising such compounds may be used for optical storage......, photorefractive materials, or materials in which light-induced conformational changes can be produced. Optical anisotropy may reversibly be generated with polarized laser light whereby a hologram is formed. First order diffraction efficiencies of up to around 80% have been obtained....

  1. Heart function and hemodynamics

    Institute of Scientific and Technical Information of China (English)

    1993-01-01

    930469 The effects of different ventricular pac-ing rates on cardiac hemodynamics and theirclinical significance.WEI Meng(魏盟),et al.Zhongshan Hosp,Shanghai Med Univ,Shanghai,200032.Shanghai Med J 1993;16(3):125—126.Changes of hemodynamics were investigated in26 patients at ventricular pacing rate of 60 to120,and 160 bpm.Effects of increasing ventricu-lar pacing rate on EF which were determined bygated blood pool scintigraphy were also studiedin another 11 patients.It is concluded that:1)inpatients with normal cardiac function as well asmost patients with cardiac insufficiency,the rela-tion of CO with increasing pacing rate can be il-

  2. [Iron function and carcinogenesis].

    Science.gov (United States)

    Akatsuka, Shinya; Toyokuni, Shinya

    2016-07-01

    Though iron is an essential micronutrient for humans, the excess state is acknowledged to be associated with oncogenesis. For example, iron overload in the liver of the patients with hereditary hemocromatosis highly increases the risk of hepatocellular carcinoma. Also, as to asbestos-related mesothelioma, such kinds of asbestos with a higher iron content are considered to be more carcinogenic. Iron is a useful element, which enables fundamental functions for life such as oxygen carrying and electron transport. However, in the situation where organisms are unable to have good control of it, iron turns into a dangerous element which catalyzes generation of reactive oxygen. In this review, I first outline the relationships between iron and cancer in general, then give an explanation about iron-related animal carcinogenesis models.

  3. Multi-functional windows

    Science.gov (United States)

    Nag, Nagendra; Goldman, Lee M.; Balasubramanian, Sreeram; Sastri, Suri

    2013-06-01

    The requirements for modern aircraft are driving the need for conformal windows for future sensor systems. However, limitations on optical systems and the physical properties of optically transparent materials currently limit the geometry of existing windows and window assemblies to faceted assemblies of flat windows held in weight bearing frames. Novel material systems will have to be developed which combine different materials (e.g. ductile metals with transparent ceramics) into structures that combine transparency with structural integrity. Surmet's demonstrated ability to produce novel transparent ceramic/metal structures will allow us to produce such structures in the types of conformal shapes required for future aircraft applications. Furthermore, the ability to incorporate transparencies into such structures also holds out the promise of creating multi-functional windows which provide a broad range of capabilities that might include RF antennas and de-icing in addition to transparency. Recent results in this area will be presented.

  4. Cost function estimation

    DEFF Research Database (Denmark)

    Andersen, C K; Andersen, K; Kragh-Sørensen, P

    2000-01-01

    Statistical analysis of cost data is often difficult because of highly skewed data resulting from a few patients who incur high costs relative to the majority of patients. When the objective is to predict the cost for an individual patient, the literature suggests that one should choose...... a regression model based on the quality of its predictions. In exploring the econometric issues, the objective of this study was to estimate a cost function in order to estimate the annual health care cost of dementia. Using different models, health care costs were regressed on the degree of dementia, sex, age......, marital status and presence of any co-morbidity other than dementia. Models with a log-transformed dependent variable, where predicted health care costs were re-transformed to the unlogged original scale by multiplying the exponential of the expected response on the log-scale with the average...

  5. Thermodynamic Function of Life

    CERN Document Server

    Michaelian, K

    2009-01-01

    Darwinian Theory depicts life as being overwhelmingly consumed by a fight for survival in a hostile environment. However, from a thermodynamic perspective, life is a dynamic, out of equilibrium process, stabilizing and coevolving in concert with its abiotic environment. The living component of the biosphere of greatest mass, the plants and cyanobacteria, are involved in the transpiration of vast amounts of water. Transpiration is part of the global water cycle, and it is this cycle that distinguishes Earth from its life barren neighboring planets, Venus and Mars. The water cycle, including the absorption of sunlight in the biosphere, is by far the greatest entropy producing process occurring on Earth. Life, from this perspective, can therefore be viewed as performing an important thermodynamic function; acting as a dynamic catalyst by aiding process such as the water cycle, hurricanes, and ocean and wind currents to produce entropy. The role of animals in this view is that of unwitting but dedicated servants ...

  6. Billiards correlation functions

    Energy Technology Data Exchange (ETDEWEB)

    Garrido, P.L. [Universidad de Granada (Spain); Gallavotti, G. [Universita di Roma (Italy)

    1994-07-01

    We discuss various experiments on the time decay of velocity autocorrelation functions in billiards. We perform new experiments and find results which are compatible with an exponential mixing hypothesis first put forward by Friedman and Martin (GM): they do not seem compatible with the stretched exponentials believed, in spite of FM and more recently of Chernov, to describe the mixing. The analysis leads to several byproducts: we obtain information about the normal diffusive nature of the motion and we consider the probability distribution of the number of collisions in time t{sub m} (as t{sub m} {yields} {infinity}), finding a strong dependence on some geometric characteristics of the locus of the billiard obstacles.

  7. Study on measurement of refractive index profile of GI-POF by light scattering

    Science.gov (United States)

    Huifen, Jiang; Xiang'e, Han

    2009-04-01

    This paper is devoted to the study on measurement of refractive index profile of graded-index polymer optical fiber (GI-POF) by light scattering. Using Generalized Airy theory and Debye series of an inhomogeneous cylinder, the scattering intensity distributions are obtained of Airy structure of rainbows for different refractive index profile. The results show that positions of Airy peaks depend closely on refractive index profile of GI-POF. Since each order of rainbow penetrates it to different depths, such methods could be used to provide information of the refractive index profile of GI-POF. For GI-POF with given diameter, positions of Airy peaks of rainbows are simulated as a function of refractive index profile, which can be used to inverse unknown parameters of refractive index profile. The least square method is used in inversion of refractive index profile with the given refractive index of the cladding. The results obtained agree with theoretical values with high precision. The method has the advantages of non-instructive and on-line measurement, and can be used for the measurement of other inhomogeneous droplets.

  8. Indirect photobiomodulation in functional networks

    Science.gov (United States)

    Liu, Timon Cheng-Yi; Zhu, Wei-Wei; Yang, Xiang-Bo

    2012-12-01

    Photobiomodulation (PBM) is a non-damaged modulation of laser irradiation or monochromatic light (LI) on a biosystem function. It depends on whether the function is in its function-specific homeostasis (FSH), a negative feedback response for the function to be performed perfectly. Many redundant pathways (RPs) maintain the same cellular function. The full activation of any of RPs can maintain a normal function in its FSH, but partial activation of all the RPs can only maintain a dysfunctional function far from its FSH. A PBM may self-adaptively modulate the activation of a partially activated RP of a normal function until it is fully activated and the normal function is then upgraded. This PBM is called indirect PBM (iPBM). The iPBM on cells such as tumor cells, myoblast cells and fibroblasts and other biosystems and their applications would be reviewed in this paper.

  9. Tamoxifen and ovarian function.

    Directory of Open Access Journals (Sweden)

    Martine Berliere

    Full Text Available BACKGROUND: Some studies suggest that the clinical parameter "amenorrhea" is insufficient to define the menopausal status of women treated with chemotherapy or tamoxifen. In this study, we investigated and compared the ovarian function defined either by clinical or biological parameters in pre-menopausal breast cancer patients treated with tamoxifen administered as adjuvant therapy. MATERIALS AND METHODS: Between 1999 and 2003, 138 premenopausal patients consecutively treated for early breast cancer were included. Sixty-eight received tamoxifen in monotherapy as the only adjuvant systemic treatment (Group I and 70 were treated with tamoxifen after adjuvant chemotherapy (Group II. All patients had a confirmed premenopausal status based on clinical parameters and hormonal values at study entry. They were followed prospectively every 3 months for 3 years: menses data, physical examination and blood tests (LH, FSH, 17-beta-estradiol. Vaginal ultrasonography was carried out every 6 months. After 3 years, prospective evaluation was completed and monitoring of ovarian function was performed as usual in our institution (1x/year. All data were retrospectively evaluated in 2011. RESULTS: Three patients were excluded from the study in group I and 2 were excluded in group II. Patients were divided into 4 subgroups according to clinical data, i.e. menses patterns. These patterns were assessed by questionnaires. a: Regular menses (>10 cycles/year b: Oligomenorrhea (5 to 9 cycles/year c: Severe oligomenorrhea (1 to 4 cycles/year d: Complete amenorrhea Estrogen levels did not appear to have any impact on disease-free survival rates after 3 or 8 years. FSH values were also documented and analyzed. They exhibited the same profile as estradiol values. CONCLUSIONS: Amenorrhea is an insufficient parameter to define menopausal status in patients receiving tamoxifen. Low estradiol levels must be coupled with other biological parameters to characterize endocrine status

  10. [Functional histology of dermis].

    Science.gov (United States)

    Prost-Squarcioni, C; Fraitag, S; Heller, M; Boehm, N

    2008-01-01

    The skin is composed of epidermis, dermis and subcutaneous tissue that interconnect anatomically. The dermis is an integrated system of fibrous and amorphous connective tissue that accommodates nerve and vascular networks, epidermally derived appendages, fibroblasts, macrophages and mast cells. Elastic and collagen tissue are the main types of fibrous connective tissue. The elastic connective tissue is assembled in a continuous network including mature elastic fibers, immature elaunin fibers and oxytalan fibers. Mature elastic fibers and elaunin have microfibrillar and amorphous matrix components while oxytalan fibers only contain microfibrils. Several molecules have been identified as constituents of the elastic fibers. Among the most characterized of these molecules is elastin in amorphous matrix, fibrillins 1 and 2 and LTBP-2 (ligand of latent TGFbeta) in microfibrils and fibulins which interconnect elastin and fibrillins. Elastic fibers provides elasticity to the skin. Under electron microscope, collagen fibers appears as of bundles of periodically banded fibrils which are composed of collagens types I, III and V; type V collagen is believed to assist in regulating fibril diameter. They are associated with FACITs (fibril-associated collagen with interrupted triple helixes) collagens types XIV et XVI. Collagen fibers provide tensile strength to the skin. Non fibrous connective tissue molecules include finely filamentous glycoproteins, glycosaminoglycans and proteoglycans of "the ground substance" (hyaluronic acid and chondroitin sulphate, dermatan sulphate, versican, decorin). Fibroblasts, macrophages and mast cells are regular residents of the dermis. The main function of these cells are well known. Fibroblasts are responsible for the synthesis and the degradation of fibrous and non fibrous connective tissue matrix proteins. Macrophages are phagocytic; they process and present antigen to immunocompetent lymphoid cells. Mast cells are responsible for Ig

  11. Lyapunov functionals and stability of stochastic functional differential equations

    CERN Document Server

    Shaikhet, Leonid

    2013-01-01

    Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for discrete- and continuous-time difference equations. The text begins with a description of the peculiarities of deterministic and stochastic functional differential equations. There follow basic definitions for stability theory of stochastic hereditary systems, and a formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of di...

  12. Generalized -deformed correlation functions as spectral functions of hyperbolic geometry

    Science.gov (United States)

    Bonora, L.; Bytsenko, A. A.; Guimarães, M. E. X.

    2014-08-01

    We analyze the role of vertex operator algebra and 2d amplitudes from the point of view of the representation theory of infinite-dimensional Lie algebras, MacMahon and Ruelle functions. By definition p-dimensional MacMahon function, with , is the generating function of p-dimensional partitions of integers. These functions can be represented as amplitudes of a two-dimensional c = 1 CFT, and, as such, they can be generalized to . With some abuse of language we call the latter amplitudes generalized MacMahon functions. In this paper we show that generalized p-dimensional MacMahon functions can be rewritten in terms of Ruelle spectral functions, whose spectrum is encoded in the Patterson-Selberg function of three-dimensional hyperbolic geometry.

  13. On -Functions for Laguerre Function Expansions of Hermite Type

    Indian Academy of Sciences (India)

    Błażej Jan Wróbel

    2011-02-01

    We examine weighted $L^p$ boundedness of -functions based on semi-groups related to multi-dimensional Laguerre function expansions of Hermite type. A technique of vector-valued Calderón–Zygmund operators is used.

  14. Plant functional traits, functional diversity, and ecosystem functioning: current knowledge and perspectives

    Directory of Open Access Journals (Sweden)

    Lingjie Lei

    2016-08-01

    Full Text Available Increasing attention has recently been focused on the linkages between plant functional traits and ecosystem functioning. A comprehensive understanding of these linkages can facilitate to address the ecological consequences of plant species loss induced by human activities and climate change, and provide theoretical support for ecological restoration and ecosystem management. In recent twenty years, the evidence of strong correlations between plant functional traits and changes in ecosystem processes is growing. More importantly, ecosystem functioning can be predicted more precisely, using plant functional trait diversity (i.e., functional diversity than species diversity. In this paper, we first defined plant functional traits and their important roles in determining ecosystem processes. Then, we review recent advances in the relationships between ecosystem functions and plant functional traits and their diversity. Finally, we propose several important future research directions, including (1 exploration of the relationships between aboveground and belowground plant traits and their roles in determining ecosystem functioning, (2 incorporation of the impacts of consumer and global environmental change into the correlation between plant functional traits and ecosystem functioning, (3 effects of functional diversity on ecosystem multifunctionality, and (4 examination of the functional diversity-ecosystem functioning relationship at different temporal and spatial scales.

  15. Methylmercury toxicity and functional programming

    DEFF Research Database (Denmark)

    Grandjean, Philippe

    2007-01-01

    PURPOSE: Adverse health effects of developmental toxicants may induce abnormal functional programming that leads to lasting functional deficits. This notion is considered from epidemiological evidence using developmental methylmercury neurotoxicity as an example. MOST IMPORTANT FINDINGS...... of certain brain functions, thereby causing confounding bias. The functional deficits caused by prenatal methylmercury exposure appear to be permanent, and their extent may depend on the joint effect of toxicants and nutrients. PRINCIPAL CONCLUSIONS: The lasting functional changes caused...... by neurodevelopmental methylmercury toxicity fit into the pattern of functional programming, with effects opposite to those linked to beneficial stimuli....

  16. Generalization of Hopf Functional Equation

    Institute of Scientific and Technical Information of China (English)

    2002-01-01

    This paper generalizes the Hopf functional equation in order to apply it to a wider class of not necessarily incompressible fluid flows. We start by defining characteristic functionals of the velocity field, the density field and the temperature field of a compressible field. Using the continuity equation, the Navier-Stokes equations and the equation of energy we derive a functional equation governing the motion of an ideal gas flow and a van der Waals gas flow, and then give some general methods of deriving a functional equation governing the motion of any compressible fluid flow. These functional equations can be considered as the generalization of the Hopf functional equation.

  17. Reflection algebra and functional equations

    Energy Technology Data Exchange (ETDEWEB)

    Galleas, W., E-mail: w.galleas@uu.nl; Lamers, J., E-mail: j.lamers@uu.nl

    2014-09-15

    In this work we investigate the possibility of using the reflection algebra as a source of functional equations. More precisely, we obtain functional relations determining the partition function of the six-vertex model with domain-wall boundary conditions and one reflecting end. The model's partition function is expressed as a multiple-contour integral that allows the homogeneous limit to be obtained straightforwardly. Our functional equations are also shown to give rise to a consistent set of partial differential equations satisfied by the partition function.

  18. RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES

    Institute of Scientific and Technical Information of China (English)

    2002-01-01

    The authors compute the quasiconvex envelope of certain functions defined on the space Mmn of real m× n matrices via a homogeneous function on Mmn. They also deduce invariance properties for various convex envelopes from corresponding invariance properties satisfied by a function. Some applications related in particular to nonlinear elasticity are given.

  19. THE BOREL DIRECTIONS OF ALGEBROIDAL FUNCTION AND ITS COEFFICIENT FUNCTIONS

    Institute of Scientific and Technical Information of China (English)

    张少华; 张晓梅; 孙道椿

    2014-01-01

    In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.

  20. Convergence of Infinite Composition of Entire Functions

    CERN Document Server

    Kojima, Shota

    2010-01-01

    The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions becomes an entire function. Moreover, as an example of such functions, we study a function called Poincare function.

  1. Lung function; Lungenfunktion

    Energy Technology Data Exchange (ETDEWEB)

    Sorichter, S. [Universitaetsklinikum Freiburg, Abteilung Pneumologie, Freiburg (Germany)

    2009-08-15

    The term lung function is often restricted to the assessment of volume time curves measured at the mouth. Spirometry includes the assessment of lung volumes which can be mobilised with the corresponding flow-volume curves. In addition, lung volumes that can not be mobilised, such as the residual volume, or only partially as FRC and TLC can be measured by body plethysmography combined with the determination of the airway resistance. Body plethysmography allows the correct positioning of forced breathing manoeuvres on the volume-axis, e.g. before and after pharmacotherapy. Adding the CO single breath transfer factor (T{sub LCO}), which includes the measurement of the ventilated lung volume using He, enables a clear diagnosis of different obstructive, restrictive or mixed ventilatory defects with and without trapped air. Tests of reversibility and provocation, as well as the assessment of inspiratory mouth pressures (PI{sub max}, P{sub 0.1}) help to classify the underlying disorder and to clarify treatment strategies. For further information and to complete the diagnostic of disturbances of the ventilation, diffusion and/or perfusion (capillar-)arterial bloodgases at rest and under physical strain sometimes amended by ergospirometry are recommended. Ideally, lung function measurements are amended by radiological and nuclear medicine techniques. (orig.) [German] Unter dem Begriff Lungenfunktion wird die Bestimmung der Lungenvolumina am Mund verstanden. Dabei werden die mobilisierbaren Lungenvolumina mit den zugehoerigen Fluss-Volumen-Kurven mittels Spirometrie und Ganzkoerperplethysmographie (GKP) und die nicht (RV) und teilweise mobilisierbaren Lungenvolumina (FRC, TLC) einschliesslich der Atemwegswiderstaende bestimmt. Die GKP ermoeglicht zusaetzlich die korrekte (Volumenachsen-)Positionierung der forcierten Atemmanoever. Dieses erlaubt eine uebersichtlichere graphische Darstellung z. B. vor und nach der Applikation pharmakologisch wirksamer Substanzen. Wird die GKP

  2. Cognition and brain functional aging

    Directory of Open Access Journals (Sweden)

    Hui-jie LI

    2014-03-01

    Full Text Available China has the largest population of elderly adults. Meanwhile, it is one of the countries showing fastest aging speed in the world. Aging processing is always companied with a series of brain structural and functional changes, which result in the decline of processing speed, working memory, long-term memory and executive function, etc. The studies based on functional magnetic resonance imaging (fMRI found certain aging effects on brain function activation, spontaneous activity and functional connectivity in old people. However, few studies have explored the brain functional curve during the aging process while most previous studies explored the differences in the brain function between young people and old people. Delineation of the human brain functional aging curve will promote the understanding of brain aging mechanisms and support the normal aging monitoring and early detection of abnormal aging changes. doi: 10.3969/j.issn.1672-6731.2014.03.005

  3. Functional interpretation and inductive definitions

    CERN Document Server

    Avigad, Jeremy

    2008-01-01

    Extending G\\"odel's \\emph{Dialectica} interpretation, we provide a functional interpretation of classical theories of positive arithmetic inductive definitions, reducing them to theories of finite-type functionals defined using transfinite recursion on well-founded trees.

  4. Interpolation in Spaces of Functions

    Directory of Open Access Journals (Sweden)

    K. Mosaleheh

    2006-03-01

    Full Text Available In this paper we consider the interpolation by certain functions such as trigonometric and rational functions for finite dimensional linear space X. Then we extend this to infinite dimensional linear spaces

  5. Functional Abdominal Pain in Children

    Science.gov (United States)

    ... functional abdominal pain. Functional abdominal pain can be intermittent (recurrent abdominal pain or RAP) or continuous. Although ... tests are needed or whether a trial of diet changes, stress management or medication may be started. ...

  6. Cryptographic Hash functions - a review

    Directory of Open Access Journals (Sweden)

    Rajeev Sobti

    2012-03-01

    Full Text Available Cryptographic Hash functions are used to achieve a number of security objectives. In this paper, we bring out the importance of hash functions, its various structures, design techniques, attacks and the progressive recent development in this field.

  7. Fuss Over Function

    DEFF Research Database (Denmark)

    Elsmore, Matthew James

    and trademark law – I have tried to weave a familiar legal discussion into a festive setting. Hence, I stage an office IP party and place it (and the legal discussion) loosely in the ‘happiest’ of settings, Denmark, and at Christmas time (well, just after). A promising start, perhaps. What emerges is a look...... at the main characters at ‘IP-World’ (where you work), and a special focus on trademark law through the office party. From there, you seek some counsel. The office party piece (Part I) is an entry point into a fuller discussion (which begins in Part II); hence acting as aperitif to a main course. (For those...... is an inherent work-in-progress, and hence labelled ‘Draft’. Moreover, this precise point, and my intended wider audience, also helps explain the inclusion of this essay on SSRN. Note: This draft essay has not been reviewed. Thus, any comments on its form and function are welcome, either via the IPKat post...

  8. [Functional gastrointestinal disorders].

    Science.gov (United States)

    Vogt, W

    2007-11-21

    Functional gastrointestinal disorders particularly dyspepsia an irritable bowel syndrome are frequent problems for the general practitioner and also for the specialist. Both are diseases and not only a kind of discomfort. The high frequency of dispepsia and irritable bowel syndrome induces very high direct and indirect charges. Both diseases depend on a number of factors or causes, for whom the evidence is not good. But there are good experimental data for the visceral hypersensitivity as one of the main factors. Gastroscopy is the most important examination in the diagnosis of dyspepsia. Endoscopy has to be done in all patients with alarm symptoms an in all patients older than 45 years. The therapy of dyspepsia is an empirical one. The eradication of Helicobacter pylori is a therapeutical option, but only 8% of the patients will have benefit for a long time. Other therapeutical options are the use of proton-pump inhibitors, prokinetics or phytotherapeutics. The therapy of the irritable bowel syndrome depends on the subtype of the disease (diarrhea, constipation, abdominal pain, bloating). First of all a good doctor-patient relationship is mandatory. Furthermore the use of dietary fibre, antidiarrhoeics, laxatives and muscle relaxants may be beneficial. And phytotherapeutics can be an additional therapeutic approach.

  9. Yogurt and gut function.

    Science.gov (United States)

    Adolfsson, Oskar; Meydani, Simin Nikbin; Russell, Robert M

    2004-08-01

    In recent years, numerous studies have been published on the health effects of yogurt and the bacterial cultures used in the production of yogurt. In the United States, these lactic acid-producing bacteria (LAB) include Lactobacillus and Streptococcus species. The benefits of yogurt and LAB on gastrointestinal health have been investigated in animal models and, occasionally, in human subjects. Some studies using yogurt, individual LAB species, or both showed promising health benefits for certain gastrointestinal conditions, including lactose intolerance, constipation, diarrheal diseases, colon cancer, inflammatory bowel disease, Helicobacter pylori infection, and allergies. Patients with any of these conditions could possibly benefit from the consumption of yogurt. The benefits of yogurt consumption to gastrointestinal function are most likely due to effects mediated through the gut microflora, bowel transit, and enhancement of gastrointestinal innate and adaptive immune responses. Although substantial evidence currently exists to support a beneficial effect of yogurt consumption on gastrointestinal health, there is inconsistency in reported results, which may be due to differences in the strains of LAB used, in routes of administration, or in investigational procedures or to the lack of objective definition of "gut health." Further well-designed, controlled human studies of adequate duration are needed to confirm or extend these findings.

  10. Cluster functional renormalization group

    Science.gov (United States)

    Reuther, Johannes; Thomale, Ronny

    2014-01-01

    Functional renormalization group (FRG) has become a diverse and powerful tool to derive effective low-energy scattering vertices of interacting many-body systems. Starting from a free expansion point of the action, the flow of the RG parameter Λ allows us to trace the evolution of the effective one- and two-particle vertices towards low energies by taking into account the vertex corrections between all parquet channels in an unbiased fashion. In this work, we generalize the expansion point at which the diagrammatic resummation procedure is initiated from a free UV limit to a cluster product state. We formulate a cluster FRG scheme where the noninteracting building blocks (i.e., decoupled spin clusters) are treated exactly, and the intercluster couplings are addressed via RG. As a benchmark study, we apply our cluster FRG scheme to the spin-1/2 bilayer Heisenberg model (BHM) on a square lattice where the neighboring sites in the two layers form the individual two-site clusters. Comparing with existing numerical evidence for the BHM, we obtain reasonable findings for the spin susceptibility, the spin-triplet excitation energy, and quasiparticle weight even in coupling regimes close to antiferromagnetic order. The concept of cluster FRG promises applications to a large class of interacting electron systems.

  11. Noise and Function

    CERN Document Server

    Weinstein, Steven

    2016-01-01

    Noise is widely understood to be something that interferes with a signal or process. Thus, it is generally thought to be destructive, obscuring signals and interfering with function. However, early in the 20th century, mechanical engineers found that mechanisms inducing additional vibration in mechanical systems could prevent sticking and hysteresis. This so-called "dither" noise was later introduced in an entirely different context at the advent of digital information transmission and recording in the early 1960s. Ironically, the addition of noise allows one to preserve information that would otherwise be lost when the signal or image is digitized. As we shall see, the benefits of added noise in these contexts are closely related to the phenomenon which has come to be known as stochastic resonance, the original version of which appealed to noise to explain how small periodic fluctuations in the eccentricity of the earth's orbit might be amplified in such a way as to bring about the observed periodic transiti...

  12. Function of the spine.

    Science.gov (United States)

    Gracovetsky, S

    1986-07-01

    In spite of the considerable effort which has been invested in attempts to understand the mechanism of human spines, substantial controversy remains, particularly in connection with assumptions which have to be made by those engaged in biological modelling. The hypothesis presented here is that the living joint has stress sensors driving a feedback mechanism, an arrangement which could react to imposed loads by modifying muscular action in such a way as to minimize stress at the joints and therefore the risk of injury. A theory of this kind gives an image of the spine not in terms of a spatial picture, as would a CAT scan, but in terms of stresses, forces and moments acting at the intervertebral joints. Calculations show that the erectores spinae alone cannot support more than about 50 kg; there must be some other mechanism to explain man's ability substantially to exceed that load. It is suggested that the interaction between the erectores spinae and the abdominals are of fundamental importance in the function of the spine; how they are co-ordinated during the lifting of weights is examined in detail. The theory resulting from this hypothesis is used to relate spinal injury and an injured subject's posture and behaviour. A mathematical formulation permits an objective evaluation of the spine, and a procedure for determining an automatic diagnosis of lumbar spine disabilities is proposed.

  13. COTTAGE CHEESE PRODUCTS FUNCTIONALITY

    Directory of Open Access Journals (Sweden)

    L. V. Golubeva

    2015-01-01

    Full Text Available Cottage cheese products holds a significant place among the dairy and milk-containing products. The range of products includes cheese: cheese, pastes, creams, cakes, etc. Such diversity can be attributed to their popularity among the population and benefit brought by the body from regular use. Curd protein is much better and easier to digest by the body than protein fish, meat or milk. Rich curd products lysine and methionine. Minerals contained in cheese products have a positive effect on bone formation and structure of tissues. The composition of curd products, in addition to cheese and dairy ingredients may include non-dairy ingredients origin. Today, for the production of cheese products use the most advanced technologies to further enrich its structure and significantly improve the nutritional value. Pine nut is widely used in the manufacture of many dairy products. But, in most cases, the production of dairy products as a filler used pine nut cake, which deprives the finished product valuable cedar oil. The authors proposed a technology for producing curd product with the addition of pine nuts and honey (pine nuts and fructose. Compatible with cream cheese filling insertion determined sensory organoleptic point scale. he optimum dosage of components: pine nuts – 5 %, honey – 10 % fructose – 7 %. Technological process of cottage cheese product is different from the traditional operations training components and their introduction into the finished cheese. Identify indicators of quality of the new product. Production of curd products thus expanding the range of dairy products functional orientation.

  14. Functional neuroanatomy of tics.

    Science.gov (United States)

    Neuner, Irene; Schneider, Frank; Shah, N Jon

    2013-01-01

    The therapeutic success of haloperidol in the treatment of Tourette syndrome (TS) put an end to the discussion about a "hysteric" or "neurotic" origin of TS. The cortico-striato-thalamo-cortical circuit has been identified as an underlying neurobiological correlate of TS. In this review we explore the main findings of structural alterations in TS including cortical areas, basal ganglia, hippocampus, amygdala, midbrain, and cerebellum. Based on the structural changes we examine the functional pattern described by the findings of fMRI and (15)O-PET/(18)FDG PET investigations. From the neuroimaging findings a cortical origin of the generation of tics is indicated. Future research on the neuronal footprint of TS should be directed towards addressing the question of which patterns of connectivity distinguish individuals in whom tics disappear during early adulthood from those in whom the tics persist. The understanding of this pathomechanism could provide a key on how to influence dysconnectivity in TS, for example, by more specific pharmaceutical intervention or by individually adopted EEG and/or fMRI neurofeedback.

  15. Topics on nonlinear generalized functions

    CERN Document Server

    Colombeau, J F

    2011-01-01

    The aim of this paper is to give the text of a recent introduction to nonlinear generalized functions exposed in my talk in the congress gf2011, which was asked by several participants. Three representative topics were presented: two recalls "Nonlinear generalized functions and their connections with distribution theory", "Examples of applications", and a recent development: "Locally convex topologies and compactness: a functional analysis of nonlinear generalized functions".

  16. Structure functions at large x

    CERN Document Server

    Zhang, Z

    2002-01-01

    Structure function data together with other measurements from fixed-target deep inelastic scattering and hadron-hadron collider experiments which contribute to our knowledge of the parton density functions are reviewed. The inclusive cross-section measurements of neutral and charged current interactions at HERA are presented and their impact on the parton density functions is discussed. Future prospects for an improved knowledge of the parton density functions at large x are briefly mentioned.

  17. Functional neuroimaging of sleep disorders.

    Science.gov (United States)

    Nofzinger, Eric A

    2008-01-01

    Functional neuroimaging methods provide a means to understand brain function in patients with sleep disorders. This paper summarizes functional neuroimaging findings in sleep disorders patients, and studies addressing the pharmacology of sleep and sleep disorders. Areas in which functional neuroimaging methods may be helpful in sleep medicine, and in which future development is advised, include: 1) clarification of pathophysiology; 2) aid in differential diagnosis; 3) assessment of treatment response; 4) guiding new drug development; and 5) monitoring treatment response.

  18. What is a Sorting Function?

    DEFF Research Database (Denmark)

    Henglein, Fritz

    2009-01-01

    What is a sorting function—not a sorting function for a given ordering relation, but a sorting function with nothing given? Formulating four basic properties of sorting algorithms as defining requirements, we arrive at intrinsic notions of sorting and stable sorting: A function is a sorting funct...... are derivable without compromising data abstraction. Finally we point out that stable sorting functions as default representations of ordering relations have the advantage of permitting linear-time sorting algorithms; inequality tests forfeit this possibility....

  19. Protein Functionality in Food Systems

    Institute of Scientific and Technical Information of China (English)

    WANG Panpan

    2010-01-01

    The structure,shape,color,smell and taste of food were decided by protein functionality.The utilization of protein will improve by changing the protein functionality.Protein functionality is also advantage to maintain and utilize the nutrition of food.This paper summarized the nature,classification,factors and prospect of protein functionality.It ccn provide a theoretical basis for application of protein in food industry.

  20. A functional RG equation for the c-function

    DEFF Research Database (Denmark)

    Codello, A.; D'Odorico, G.; Pagani, C.

    2014-01-01

    After showing how to prove the integrated c-theorem within the functional RG framework based on the effective average action, we derive an exact RG flow equation for Zamolodchikov's c-function in two dimensions by relating it to the flow of the effective average action. In order to obtain a non......-trivial flow for the c-function, we will need to understand the general form of the effective average action away from criticality, where nonlocal invariants, with beta functions as coefficients, must be included in the ansatz to be consistent. Then we apply our construction to several examples: exact results......, local potential approximation and loop expansion. In each case we construct the relative approximate c-function and find it to be consistent with Zamolodchikov's c-theorem. Finally, we present a relation between the c-function and the (matter induced) beta function of Newton's constant, allowing us...

  1. Building indifferentiable compression functions from the PGV compression functions

    DEFF Research Database (Denmark)

    Gauravaram, P.; Bagheri, Nasour; Knudsen, Lars Ramkilde

    2016-01-01

    Preneel, Govaerts and Vandewalle (PGV) analysed the security of single-block-length block cipher based compression functions assuming that the underlying block cipher has no weaknesses. They showed that 12 out of 64 possible compression functions are collision and (second) preimage resistant. Black...... cipher is ideal. We address the problem of building indifferentiable compression functions from the PGV compression functions. We consider a general form of 64 PGV compression functions and replace the linear feed-forward operation in this generic PGV compression function with an ideal block cipher...... independent of the one used in the generic PGV construction. This modified construction is called a generic modified PGV (MPGV). We analyse indifferentiability of the generic MPGV construction in the ideal cipher model and show that 12 out of 64 MPGV compression functions in this framework...

  2. Reflection algebra and functional equations

    NARCIS (Netherlands)

    Galleas, W.; Lamers, J.

    2014-01-01

    In this work we investigate the possibility of using the reflection algebra as a source of functional equations. More precisely, we obtain functional relations determining the partition function of the six-vertex model with domain-wall boundary conditions and one reflecting end. The model's partitio

  3. [Diagnosis of functional bowel diseases].

    Science.gov (United States)

    Kruis, W

    2007-02-28

    Functional bowel disorders cause frequent doctor visits. The term comprises various disease entities. Most frequent are the irritable bowel syndrome, functional constipation and functional diarrhea. An exact history plays an outstanding role for the diagnosis of all these entities. History either confirms a positive diagnosis or initiates some complementary investigations. Redundant and dangerous technical procedures should be avoided in the diagnostic work up.

  4. Applications of functionalized ionic liquids

    Institute of Scientific and Technical Information of China (English)

    LI; Xuehui; ZHAO; Dongbin; FEI; Zhaofu; WANG; Lefu

    2006-01-01

    Recent developments of the synthesis and applications of functionalized ionic liquids(including dual-functionalized ionic liquids) have been highlighted in this review. Ionic liquids are attracting attention as alternative solvents in green chemistry, but as more functionalized ILs are prepared, a greater number of applications in increasingly diverse fields are found.

  5. Sinc-function based Network

    DEFF Research Database (Denmark)

    Madsen, Per Printz

    1999-01-01

    The purpose of this paper is to describe a neural network (SNN), that is based on Shannons ideas of reconstruction of a real continuous function from its samples. The basic function, used in this network, is the Sinc-function. Two learning algorithms are described. A simple one called IM...

  6. Ecological Correlates of Family Functioning.

    Science.gov (United States)

    Meyers, Steven A.; Varkey, Soji; Aguirre, Angela M.

    2002-01-01

    Explores how parents' psychological functioning, social relationships, and demographic characteristics relate to family functioning with a sample of 197 participants. Significant associations between predictor variables and family functioning were found as rated by mothers, caseworkers, and coders of family interaction tasks. (JDM)

  7. Comments on the slope function

    CERN Document Server

    Kim, Minkyoo

    2016-01-01

    The exact slope function was first proposed in $SL(2)$ sector and generalized to $SU(2)$ sector later. In this note, we consider the slope function in $SU(1|1)$ sector of ${\\cal N}=4$ SYM. We derive the quantity through the method invented by N. Gromov and discuss about its validity. Further, we give comments on the slope function in deformed SYM.

  8. A lung function information system

    NARCIS (Netherlands)

    A.F.M. Verbraak (Anton); E.J. Hoorn (Ewout); J. de Vries (Julius); J.M. Bogaard (Jan); A. Versprille (Adrian)

    1991-01-01

    markdownabstractAbstract A lung function information system (LFIS) was developed for the data analysis of pulmonary function tests at different locations. This system was connected to the hospital information system (HIS) for the retrieval of patient data and the storage of the lung function varia

  9. Functional Similarity and Interpersonal Attraction.

    Science.gov (United States)

    Neimeyer, Greg J.; Neimeyer, Robert A.

    1981-01-01

    Students participated in dyadic disclosure exercises over a five-week period. Results indicated members of high functional similarity dyads evidenced greater attraction to one another than did members of low functional similarity dyads. "Friendship" pairs of male undergraduates displayed greater functional similarity than did "nominal" pairs from…

  10. Normal Families and Shared Functions

    Institute of Scientific and Technical Information of China (English)

    WANG Xue-qin; LEI Chun-lin

    2015-01-01

    Let k be a positive integer, let h be a holomorphic function in a domain D, h 6≡0 and let F be a family of nonvanishing meromorphic functions in D. If each pair of functions f and g in F , f (k) and g(k) share h in D, then F is normal in D.

  11. Simulation Methods for Functional Materials

    Institute of Scientific and Technical Information of China (English)

    Youqi Yang

    2004-01-01

    @@ Functional materials embrace a broad area, ranging from functional information materials to special polymers, from special chemicals for printing to materials used in making paints. Inasmuch as most functional materials are particulate, the present contribution is considered pertinent to the present FORUM.

  12. Evolutionary Design of Boolean Functions

    Institute of Scientific and Technical Information of China (English)

    WANG Zhang-yi; ZHANG Huan-guo; QIN Zhong-ping; MENG Qing-shu

    2005-01-01

    We use evolutionary computing to synthesize Boolean functions randomly. By using specific crossover and mutation operator in evolving process and modifying search space and fitness function, we get some high non-linearity functions which have other good cryptography characteristics such as autocorrelation etc. Comparing to other heuristic search techniques, evolutionary computing approach is more effective because of global search strategy and implicit parallelism.

  13. Construction of optimized Boolean functions

    Institute of Scientific and Technical Information of China (English)

    CHEN Wei; YANG Yi-xian; NIU Xin-xin

    2006-01-01

    Considering connections of characteristics,this paper is aimed at the construction of optimized Boolean functions.A new method based on the Bent function,discrete Walsh spectrum and characteristics matrices are presented by concatenating,breaking,and revising output sequences conditionally.This new construction can be used to construct different kinds of functions satisfying different design criteria.

  14. Staircase and Fractional Part Functions

    Science.gov (United States)

    Amram, Meirav; Dagan, Miriam; Ioshpe, Michael; Satianov, Pavel

    2016-01-01

    The staircase and fractional part functions are basic examples of real functions. They can be applied in several parts of mathematics, such as analysis, number theory, formulas for primes, and so on; in computer programming, the floor and ceiling functions are provided by a significant number of programming languages--they have some basic uses in…

  15. Proposals for iterated hash functions

    DEFF Research Database (Denmark)

    Knudsen, Lars Ramkilde; Thomsen, Søren Steffen

    2006-01-01

    The past few years have seen an increase in the number of attacks on cryptographic hash functions. These include attacks directed at specific hash functions, and generic attacks on the typical method of constructing hash functions. In this paper we discuss possible methods for protecting against...... some generic attacks. We also give a concrete proposal for a new hash function construction, given a secure compression function which, unlike in typical existing constructions, is not required to be resistant to all types of collisions. Finally, we show how members of the SHA-family can be turned...

  16. Proposals for Iterated Hash Functions

    DEFF Research Database (Denmark)

    Knudsen, Lars Ramkilde; Thomsen, Søren Steffen

    2008-01-01

    The past few years have seen an increase in the number of attacks on cryptographic hash functions. These include attacks directed at specific hash functions, and generic attacks on the typical method of constructing hash functions. In this paper we discuss possible methods for protecting against...... some generic attacks. We also give a concrete proposal for a new hash function construction, given a secure compression function which, unlike in typical existing constructions, is not required to be resistant to all types of collisions. Finally, we show how members of the SHA-family can be turned...

  17. Banach spaces of analytic functions

    CERN Document Server

    Hoffman, Kenneth

    2007-01-01

    A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the f

  18. Nongenetic functions of the genome.

    Science.gov (United States)

    Bustin, Michael; Misteli, Tom

    2016-05-01

    The primary function of the genome is to store, propagate, and express the genetic information that gives rise to a cell's architectural and functional machinery. However, the genome is also a major structural component of the cell. Besides its genetic roles, the genome affects cellular functions by nongenetic means through its physical and structural properties, particularly by exerting mechanical forces and by serving as a scaffold for binding of cellular components. Major cellular processes affected by nongenetic functions of the genome include establishment of nuclear structure, signal transduction, mechanoresponses, cell migration, and vision in nocturnal animals. We discuss the concept, mechanisms, and implications of nongenetic functions of the genome.

  19. Density Functional Approach Based on Numerically Obtained Bridge Functional

    Institute of Scientific and Technical Information of China (English)

    ZHOUShi-Qi

    2002-01-01

    The ornstein-zenike equation is solved with the Rogers-Young approximation for bulk hard sphere fluid and Lennard-Jones fluid for several state points.Then the resulted bulk fluid radial distribution function combined with the test particle method is employed to determine numerically the function relationship of bridge functional as a function of indirect correlation function.It is found that all of the calculated points from different phase space state points for a same type of fluid collapse onto a same smooth curve.Then the numerically obtained curve is used to substitute the analytic expression of the bridge functional as a function of indirect correlation function required in the methodology [J.Chem.Phys,112(2000)8079] to determine the density distribution of non-uniform hard sphere fluid and Lennard-Jones fluid.The good agreement of theoretical predictions with the computer simulation data is obtained.The present numerical procedure incroporates the knowledge of bulk fluid radial distribution function into the constructing of the density functional approximation and makes the original methodology more accurate and more filexible for various interaction potential fluid.

  20. Bilinear Expansion For Redistribution Functions

    Science.gov (United States)

    Harutyunian, Haik; Alecian, Georges; Khachatryan, Knarik; Vardanyan, Ani

    2016-11-01

    We suggest here a method for construction of a bilinear expansion for an angle-averaged redistribution function. This function describes the elementary act of a photon scattering by a model two-level atom with the upper level broadened due to radiation damping. An eigenvalue and eigenvector determination problem is formulated and the relevant matrices are found analytically. Numerical procedures for their computations are elaborated as well. A simple method for the numerical calculations accuracy evaluation is suggested. It is shown that a family of redistribution functions describing the light scattering process within the spectral line frequencies can be constructed if the eigenvalue problem for the considered function is solved. It becomes possible if the eigenvalues and eigenvectors with the appropriate basic functions are used. The Voigt function and its derivatives used as basic functions are studied in detail as well.