WorldWideScience

Sample records for airy functions

  1. Generalized Airy functions for use in one-dimensional quantum mechanical problems

    Science.gov (United States)

    Eaves, J. O.

    1972-01-01

    The solution of the one dimensional, time independent, Schroedinger equation in which the energy minus the potential varies as the nth power of the distance is obtained from proper linear combinations of Bessel functions. The linear combinations called generalized Airy functions, reduce to the usual Airy functions Ai(x) and Bi(x) when n equals 1 and have the same type of simple asymptotic behavior. Expressions for the generalized Airy functions which can be evaluated by the method of generalized Gaussian quadrature are obtained.

  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. Inpainting using airy diffusion

    Science.gov (United States)

    Lorduy Hernandez, Sara

    2015-09-01

    One inpainting procedure based on Airy diffusion is proposed, implemented via Maple and applied to some digital images. Airy diffusion is a partial differential equation with spatial derivatives of third order in contrast with the usual diffusion with spatial derivatives of second order. Airy diffusion generates the Airy semigroup in terms of the Airy functions which can be rewritten in terms of Bessel functions. The Airy diffusion can be used to smooth an image with the corresponding noise elimination via convolution. Also the Airy diffusion can be used to erase objects from an image. We build an algorithm using the Maple package ImageTools and such algorithm is tested using some images. Our results using Airy diffusion are compared with the similar results using standard diffusion. We observe that Airy diffusion generates powerful filters for image processing which could be incorporated in the usual packages for image processing such as ImageJ and Photoshop. Also is interesting to consider the possibility to incorporate the Airy filters as applications for smartphones and smart-glasses.

  4. 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.

  5. Computing complex Airy functions by numerical quadrature

    NARCIS (Netherlands)

    A. Gil (Amparo); J. Segura (Javier); N.M. Temme (Nico)

    2001-01-01

    textabstractIntegral representations are considered of solutions of the Airydifferential equation w''-z, w=0 for computing Airy functions for complex values of z.In a first method contour integral representations of the Airyfunctions are written as non-oscillating

  6. Acoustic non-diffracting Airy beam

    International Nuclear Information System (INIS)

    Lin, Zhou; Guo, Xiasheng; Tu, Juan; Ma, Qingyu; Wu, Junru; Zhang, Dong

    2015-01-01

    The acoustic non-diffracting Airy beam as its optical counterpart has unique features of self-bending and self-healing. The complexity of most current designs handicaps its applications. A simple design of an acoustic source capable of generating multi-frequency and broad-band acoustic Airy beam has been theoretically demonstrated by numerical simulations. In the design, a piston transducer is corrugated to induce spatial phase variation for transducing the Airy function. The piston's surface is grooved in a pattern that the width of each groove corresponds to the half wavelength of Airy function. The resulted frequency characteristics and its dependence on the size of the piston source are also discussed. This simple design may promote the wide applications of acoustic Airy beam particularly in the field of medical ultrasound

  7. 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.

  8. Vortex Airy beams directly generated via liquid crystal q-Airy-plates

    Science.gov (United States)

    Wei, Bing-Yan; Liu, Sheng; Chen, Peng; Qi, Shu-Xia; Zhang, Yi; Hu, Wei; Lu, Yan-Qing; Zhao, Jian-Lin

    2018-03-01

    Liquid crystal q-Airy-plates with director distributions integrated by q-plates and polarization Airy masks are proposed and demonstrated via the photoalignment technique. Single/dual vortex Airy beams of opposite topological charges and orthogonal circular polarizations are directly generated with polarization-controllable characteristic. The singular phase of the vortex part is verified by both astigmatic transformation and digital holography. The trajectory of vortex Airy beams is investigated, manifesting separate propagation dynamics of optical vortices and Airy beams. Meanwhile, Airy beams still keep their intrinsic transverse acceleration, self-healing, and nondiffraction features. This work provides a versatile candidate for generating high-quality vortex Airy beams.

  9. 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.

  10. Experimental investigation of complex circular Airy beam characteristics

    Science.gov (United States)

    Porfirev, A. P.; Fomchenkov, S. A.; Khonina, S. N.

    2018-04-01

    We demonstrate a new type of circular Airy beams, the so-called azimuthally modulated circular Airy beams, generated by utilizing a diffraction element, whose transmission function is the sum of the transmission function of the element generating a "petal" pattern and the transmission function of the element generating a circular Airy beam. We experimentally investigate the propagation dynamics of such beams and demonstrate that their autofocusing and selfhealing properties are strongly dependent on the number of generated petals. These beams are a combination of a conventional circular Airy beam and vortex laser beams (or their superpositions). Using a spatial light modulator, we demonstrate that these beams have unique properties such as autofocusing, "nondiffractive" propagation and self-healing after passing through an obstacle. The experimental results are in good agreement with the simulation. We believe that these results can be very useful for lensless laser fabrication and laser manipulation techniques, as well as for development of new filament plasma multi-channel formation methods.

  11. 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.

  12. Exchange energy in the local Airy gas approximation

    DEFF Research Database (Denmark)

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

    2000-01-01

    The Airy gas model of the edge electron gas is used to construct an exchange-energy functional that is an alternative to those obtained in the local-density and generalized-gradient approximations. Test calculations for rare-gas atoms, molecules, solids, and surfaces show that the Airy gas...

  13. Two kinds of Airy-related beams

    International Nuclear Information System (INIS)

    Xu, Yiqing; Zhou, Guoquan; Zhang, Lijun; Ru, Guoyun

    2015-01-01

    Two kinds of Airy-related beams are introduced in this manuscript. The normalized intensity distribution in the x-direction of the two kinds of Airy-related beams is close to that of the Gaussian beam. The normalized intensity distribution in the y-direction of the two kinds of Airy-related beams is close to that of the second-order and the third-order elegant Hermite–Gaussian beams, respectively. Analytical expressions of the two kinds of Airy-related beams passing through an ABCD paraxial optical system are derived. The beam propagation factors for the two kinds of Airy-related beams are 1.933 and 2.125, respectively. Analytical expressions of the beam half widths and the kurtosis parameters of the two kinds of Airy-related beams passing through an ABCD paraxial optical system are also presented. As a numerical example, the propagation properties of the two kinds of Airy-related beams are demonstrated in free space. Moreover, the comparison between the two kinds of Airy-related beams and their corresponding elegant Hermite–Gaussian beams along the two transverse directions are performed in detail. Upon propagation, the former kind of Airy-related beam will evolve from the central bright beam into the dark hollow beam. Contrarily, the latter kind of Airy-related beam will evolve from the dark hollow beam into the central bright beam. These two kinds of Airy-related beams can be used to describe specially distributed beams. (paper)

  14. 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.

  15. Stationary nonlinear Airy beams

    International Nuclear Information System (INIS)

    Lotti, A.; Faccio, D.; Couairon, A.; Papazoglou, D. G.; Panagiotopoulos, P.; Tzortzakis, S.; Abdollahpour, D.

    2011-01-01

    We demonstrate the existence of an additional class of stationary accelerating Airy wave forms that exist in the presence of third-order (Kerr) nonlinearity and nonlinear losses. Numerical simulations and experiments, in agreement with the analytical model, highlight how these stationary solutions sustain the nonlinear evolution of Airy beams. The generic nature of the Airy solution allows extension of these results to other settings, and a variety of applications are suggested.

  16. Airy beams on two dimensional materials

    Science.gov (United States)

    Imran, Muhammad; Li, Rujiang; Jiang, Yuyu; Lin, Xiao; Zheng, Bin; Dehdashti, Shahram; Xu, Zhiwei; Wang, Huaping

    2018-05-01

    We propose that quasi-transverse-magnetic (quasi-TM) Airy beams can be supported on two dimensional (2D) materials. By taking graphene as a typical example, the solution of quasi-TM Airy beams is studied under the paraxial approximation. The analytical field intensity in a bilayer graphene-based planar plasmonic waveguide is confirmed by the simulation results. Due to the tunability of the chemical potential of graphene, the self-accelerating behavior of the quasi-TM Airy beam can be steered effectively. 2D materials thus provide a good platform to investigate the propagation of Airy beams.

  17. Maximum nondiffracting propagation distance of aperture-truncated Airy beams

    Science.gov (United States)

    Chu, Xingchun; Zhao, Shanghong; Fang, Yingwu

    2018-05-01

    Airy beams have called attention of many researchers due to their non-diffracting, self-healing and transverse accelerating properties. A key issue in research of Airy beams and its applications is how to evaluate their nondiffracting propagation distance. In this paper, the critical transverse extent of physically realizable Airy beams is analyzed under the local spatial frequency methodology. The maximum nondiffracting propagation distance of aperture-truncated Airy beams is formulated and analyzed based on their local spatial frequency. The validity of the formula is verified by comparing the maximum nondiffracting propagation distance of an aperture-truncated ideal Airy beam, aperture-truncated exponentially decaying Airy beam and exponentially decaying Airy beam. Results show that the formula can be used to evaluate accurately the maximum nondiffracting propagation distance of an aperture-truncated ideal Airy beam. Therefore, it can guide us to select appropriate parameters to generate Airy beams with long nondiffracting propagation distance that have potential application in the fields of laser weapons or optical communications.

  18. 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.

  19. Computation of the modified Bessel function of the third kind of imaginary orders: uniform Airy-type asymptotic expansion

    NARCIS (Netherlands)

    A. Gil (Amparo); J. Segura (Javier); N.M. Temme (Nico)

    2002-01-01

    textabstractThe use of a uniform Airy-type asymptotic expansion for the computation of the modified Bessel functions of the third kind of imaginary orders ($K_{ia}(x)$) near the transition point $x=a$, is discussed. In [2], an algorithm for the evaluation of $K_{ia}(x)$ was presented, which made use

  20. Numerical algorithms for uniform Airy-type asymptotic expansions

    NARCIS (Netherlands)

    N.M. Temme (Nico)

    1997-01-01

    textabstractAiry-type asymptotic representations of a class of special functions are considered from a numerical point of view. It is well known that the evaluation of the coefficients of the asymptotic series near the transition point is a difficult problem. We discuss two methods for computing

  1. Dynamic Control of Collapse in a Vortex Airy Beam

    Science.gov (United States)

    Chen, Rui-Pin; Chew, Khian-Hooi; He, Sailing

    2013-01-01

    Here we study systematically the self-focusing dynamics and collapse of vortex Airy optical beams in a Kerr medium. The collapse is suppressed compared to a non-vortex Airy beam in a Kerr medium due to the existence of vortex fields. The locations of collapse depend sensitively on the initial power, vortex order, and modulation parameters. The collapse may occur in a position where the initial field is nearly zero, while no collapse appears in the region where the initial field is mainly distributed. Compared with a non-vortex Airy beam, the collapse of a vortex Airy beam can occur at a position away from the area of the initial field distribution. Our study shows the possibility of controlling and manipulating the collapse, especially the precise position of collapse, by purposely choosing appropriate initial power, vortex order or modulation parameters of a vortex Airy beam. PMID:23518858

  2. 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.

  3. Quasi-Airy beams along tunable propagation trajectories and directions.

    Science.gov (United States)

    Qian, Yixian; Zhang, Site

    2016-05-02

    We present a theoretical and experimental exhibit that accelerates quasi-Airy beams propagating along arbitrarily appointed parabolic trajectories and directions in free space. We also demonstrate that such quasi-Airy beams can be generated by a tunable phase pattern, where two disturbance factors are introduced. The topological structures of quasi-Airy beams are readily manipulated with tunable phase patterns. Quasi-Airy beams still possess the characteristics of non-diffraction, self-healing to some extent, although they are not the solutions for paraxial wave equation. The experiments show the results are consistent with theoretical predictions. It is believed that the property of propagation along arbitrarily desired parabolic trajectories will provide a broad application in trapping atom and living cell manipulation.

  4. 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

  5. The robustness of truncated Airy beam in PT Gaussian potentials media

    Science.gov (United States)

    Wang, Xianni; Fu, Xiquan; Huang, Xianwei; Yang, Yijun; Bai, Yanfeng

    2018-03-01

    The robustness of truncated Airy beam in parity-time (PT) symmetric Gaussian potentials media is numerically investigated. A high-peak power beam sheds from the Airy beam due to the media modulation while the Airy wavefront still retain its self-bending and non-diffraction characteristics under the influence of modulation parameters. Increasing the modulation factor results in the smaller value of maximum power of the center beam, and the opposite trend occurs with the increment of the modulation depth. However, the parabolic trajectory of the Airy wavefront does not be influenced. By utilizing the unique features, the Airy beam can be used as a long distance transmission source under the PT symmetric Gaussian potentials medium.

  6. On the dynamics of Airy beams in nonlinear media with nonlinear losses.

    Science.gov (United States)

    Ruiz-Jiménez, Carlos; Nóbrega, K Z; Porras, Miguel A

    2015-04-06

    We investigate on the nonlinear dynamics of Airy beams in a regime where nonlinear losses due to multi-photon absorption are significant. We identify the nonlinear Airy beam (NAB) that preserves the amplitude of the inward Hänkel component as an attractor of the dynamics. This attractor governs also the dynamics of finite-power (apodized) Airy beams, irrespective of the location of the entrance plane in the medium with respect to the Airy waist plane. A soft (linear) input long before the waist, however, strongly speeds up NAB formation and its persistence as a quasi-stationary beam in comparison to an abrupt input at the Airy waist plane, and promotes the formation of a new type of highly dissipative, fully nonlinear Airy beam not described so far.

  7. Airy function approach and Numerov method to study the anharmonic oscillator potentials V(x) = Ax{sup 2α} + Bx{sup 2}

    Energy Technology Data Exchange (ETDEWEB)

    Al Sdran, N. [King Khalid University, Faculty of Science, Physics Department P.O. Box 9004 Abha (Saudi Arabia); Najran University, Faculty of Sciences and Arts, Najran (Saudi Arabia); Maiz, F., E-mail: fethimaiz@gmail.com [King Khalid University, Faculty of Science, Physics Department P.O. Box 9004 Abha (Saudi Arabia); Thermal Process Laboratory Research and Technologies Centre of Energy, BP 95, 2050 Hammam-lif (Tunisia)

    2016-06-15

    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) = Ax{sup 2α} + Bx{sup 2}, (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.

  8. Airy asymptotics: the logarithmic derivative and its reciprocal

    International Nuclear Information System (INIS)

    Kearney, Michael J; Martin, Richard J

    2009-01-01

    We consider the asymptotic expansion of the logarithmic derivative of the Airy function Ai'(z)/Ai(z), and also its reciprocal Ai(z)/Ai'(z), as |z| → ∞. We derive simple, closed-form solutions for the coefficients which appear in these expansions, which are of interest since they are encountered in a wide variety of problems. The solutions are presented as Mellin transforms of given functions; this fact, together with the methods employed, suggests further avenues for research.

  9. Temporal Airy pulses control cell poration

    Directory of Open Access Journals (Sweden)

    S. Courvoisier

    2016-07-01

    Full Text Available We show that spectral phase shaping of fs-laser pulses can be used to optimize laser-cell membrane interactions in water environment. The energy and peak intensity thresholds required for cell poration with single pulse in the nJ range can be significantly reduced (25% reduction in energy and 88% reduction in peak intensity by using temporal Airy pulses, controlled by positive third order dispersion, as compared to bandwidth limited pulses. Temporal Airy pulses are also effective to control the morphology of the induced pores, with prospective applications from cellular to tissue opto-surgery and transfection.

  10. Role of third-order dispersion in chirped Airy pulse propagation in single-mode fibers

    Science.gov (United States)

    Cai, Wangyang; Wang, Lei; Wen, Shuangchun

    2018-04-01

    The dynamic propagation of the initial chirped Airy pulse in single-mode fibers is studied numerically, special attention being paid to the role of the third-order dispersion (TOD). It is shown that for the positive TOD, the Airy pulse experiences inversion irrespective of the sign of initial chirp. The role of TOD in the dynamic propagation of the initial chirped Airy pulse depends on the combined sign of the group-velocity dispersion (GVD) and the initial chirp. If the GVD and chirp have the opposite signs, the chirped Airy pulse compresses first and passes through a breakdown area, then reconstructs a new Airy pattern with opposite acceleration, with the breakdown area becoming small and the main peak of the new Airy pattern becoming asymmetric with an oscillatory structure due to the positive TOD. If the GVD and chirp have the same signs, the finite-energy Airy pulse compresses to a focal point and then inverses its acceleration, in the case of positive TOD, the distance to the focal point becoming smaller. At zero-dispersion point, the finite-energy Airy pulse inverses to the opposite acceleration at a focal point, with the tight-focusing effect being reduced by initial chirp. Under the effect of negative TOD, the initial chirped Airy pulse disperses and the lobes split. In addition, in the anomalous dispersion region, for strong nonlinearity, the initial chirped Airy pulse splits and enters a soliton shedding regime.

  11. 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

  12. 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

  13. Airy Wave Packets Accelerating in Space-Time

    Science.gov (United States)

    Kondakci, H. Esat; Abouraddy, Ayman F.

    2018-04-01

    Although diffractive spreading is an unavoidable feature of all wave phenomena, certain waveforms can attain propagation invariance. A lesser-explored strategy for achieving optical self-similar propagation exploits the modification of the spatiotemporal field structure when observed in reference frames moving at relativistic speeds. For such an observer, it is predicted that the associated Lorentz boost can bring to a halt the axial dynamics of a wave packet of an arbitrary profile. This phenomenon is particularly striking in the case of a self-accelerating beam—such as an Airy beam—whose peak normally undergoes a transverse displacement upon free propagation. Here we synthesize an acceleration-free Airy wave packet that travels in a straight line by deforming its spatiotemporal spectrum to reproduce the impact of a Lorentz boost. The roles of the axial spatial coordinate and time are swapped, leading to "time diffraction" manifested in self-acceleration observed in the propagating Airy wave-packet frame.

  14. Sub-Airy Confocal Adaptive Optics Scanning Ophthalmoscopy.

    Science.gov (United States)

    Sredar, Nripun; Fagbemi, Oladipo E; Dubra, Alfredo

    2018-04-01

    To demonstrate the viability of improving transverse image resolution in reflectance scanning adaptive optics ophthalmoscopy using sub-Airy disk confocal detection. The foveal cone mosaic was imaged in five human subjects free of known eye disease using two custom adaptive optics scanning light ophthalmoscopes (AOSLOs) in reflectance with 7.75 and 4.30 mm pupil diameters. Confocal pinholes of 0.5, 0.6, 0.8, and 1.0 Airy disk diameters (ADDs) were used in a retinal conjugate plane before the light detector. Average cone photoreceptor intensity profile width and power spectrum were calculated for the resulting images. Detected energy using a model eye was recorded for each pinhole size. The cone photoreceptor mosaic is better resolved with decreasing confocal pinhole size, with the high spatial frequency content of the images enhanced in both the large- and small-pupil AOSLOs. The average cone intensity profile width was reduced by ∼15% with the use of a 0.5 ADD pinhole when compared to a 1.0 ADD, with an accompanying reduction in signal greater than a factor of four. The use of sub-Airy disk confocal pinhole detection without increasing retinal light exposure results in a substantial improvement in image resolution at the cost of larger than predicted signal reduction. Improvement in transverse resolution using sub-Airy disk confocal detection is a practical and low-cost approach that is applicable to all point- and line-scanning ophthalmoscopes, including optical coherence tomographers.

  15. Optimal Conformal Polynomial Projections for Croatia According to the Airy/Jordan Criterion

    Directory of Open Access Journals (Sweden)

    Dražen Tutić

    2009-05-01

    Full Text Available The paper describes optimal conformal polynomial projections for Croatia according to the Airy/Jordan criterion. A brief introduction of history and theory of conformal mapping is followed by descriptions of conformal polynomial projections and their current application. The paper considers polynomials of degrees 1 to 10. Since there are conditions in which the 1st degree polynomial becomes the famous Mercator projection, it was not considered specifically for Croatian territory. The area of Croatia was defined as a union of national territory and the continental shelf. Area definition data were taken from the Euro Global Map 1:1 000 000 for Croatia, as well as from two maritime delimitation treaties. Such an irregular area was approximated with a regular grid consisting of 11 934 ellipsoidal trapezoids 2' large. The Airy/Jordan criterion for the optimal projection is defined as minimum of weighted mean of Airy/Jordan measure of distortion in points. The value of the Airy/Jordan criterion is calculated from all 11 934 centres of ellipsoidal trapezoids, while the weights are equal to areas of corresponding ellipsoidal trapezoids. The minimum is obtained by Nelder and Mead’s method, as implemented in the fminsearch function of the MATLAB package. Maps of Croatia representing the distribution of distortions are given for polynomial degrees 2 to 6 and 10. Increasing the polynomial degree results in better projections considering the criterion, and the 6th degree polynomial provides a good ratio of formula complexity and criterion value.

  16. Airi Liimets: "Teistmoodi mõeldes võiks taas otsast alata" / Airi Liimets ; intervjueerinud Ia Remmel

    Index Scriptorium Estoniae

    Liimets, Airi, 1959-

    2009-01-01

    Eesti Muusika- ja Teatriakadeemia koolimuusika instituudi ning filosoofilise ja pedagoogilise antropoloogia keskuse juhataja, kasvatusfilosoofia ja kasvatusteaduse professori Airi Liimetsaga tema koostatud ja toimetatud, TLÜ kirjastuse poolt välja antud raamatust "Muusikalise kontegelikkuse ühendused identiteedi ja diferentsiga"

  17. Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles

    International Nuclear Information System (INIS)

    Akemann, G.; Bender, M.

    2010-01-01

    We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane. These are orthogonal with respect to a non-Gaussian weight including a modified Bessel function of the second kind, and we give an elementary proof for this. In the large n limit, the eigenvalue statistics at the spectral edge close to the real axis are described by the same family of kernels interpolating between Airy and Poisson that was recently found by one of the authors for the elliptic Ginibre ensemble. We conclude that this scaling limit is universal, appearing for two different non-Hermitian random matrix ensembles with unitary symmetry. As a second result we give an equivalent form for the interpolating Airy kernel in terms of a single real integral, similar to representations for the asymptotic kernel in the bulk and at the hard edge of the spectrum. This makes its structure as a one-parameter deformation of the Airy kernel more transparent.

  18. Rainbows: Mie computations and the Airy approximation.

    Science.gov (United States)

    Wang, R T; van de Hulst, H C

    1991-01-01

    Efficient and accurate computation of the scattered intensity pattern by the Mie formulas is now feasible for size parameters up to x = 50,000 at least, which in visual light means spherical drops with diameters up to 6 mm. We present a method for evaluating the Mie coefficients from the ratios between Riccati-Bessel and Neumann functions of successive order. We probe the applicability of the Airy approximation, which we generalize to rainbows of arbitrary p (number of internal reflections = p - 1), by comparing the Mie and Airy intensity patterns. Millimeter size water drops show a match in all details, including the position and intensity of the supernumerary maxima and the polarization. A fairly good match is still seen for drops of 0.1 mm. A small spread in sizes helps to smooth out irrelevant detail. The dark band between the rainbows is used to test more subtle features. We conclude that this band contains not only externally reflected light (p = 0) but also a sizable contribution f rom the p = 6 and p = 7 rainbows, which shift rapidly with wavelength. The higher the refractive index, the closer both theories agree on the first primary rainbow (p = 2) peak for drop diameters as small as 0.02 mm. This may be useful in supporting experimental work.

  19. Optical trapping and manipulation of Mie particles with Airy beam

    International Nuclear Information System (INIS)

    Zhao, Ziyu; Zang, Weiping; Tian, Jianguo

    2016-01-01

    In this paper we calculate the radiation forces and moving trajectories of Mie particles induced by 1D Airy beams using the plane wave spectrum method and arbitrary beam theory. Numerical results show that both the transverse and the longitudinal radiation forces are deeply dependent on the relative refractive index, radii and positions of the scattering particles illuminated by the Airy beam. Due to the radiation forces, Mie particles with different radii and initial positions can be dragged into the nearest main intensity lobes, and move along parabolic trajectories in the direction of the Poynting vector. At the ends of these trajectories, in the presence of Brownian force, the trapped scattering particles show irregular Brownian movement near their equilibrium positions. This characteristic property of Airy beams enables optical sorting to be used more easily in the colloidal and biological sciences. (paper)

  20. Obstacle evasion in free-space optical communications utilizing Airy beams

    Science.gov (United States)

    Zhu, Guoxuan; Wen, Yuanhui; Wu, Xiong; Chen, Yujie; Liu, Jie; Yu, Siyuan

    2018-03-01

    A high speed free-space optical communication system capable of self-bending signal transmission around line-of-sight obstacles is proposed and demonstrated. Airy beams are generated and controlled to achieve different propagating trajectories, and the signal transmission characteristics of these beams around the obstacle are investigated. Our results confirm that, by optimising their ballistic trajectories, Airy beams are able to bypass obstacles with more signal energy and thus improve the communication performance compared with normal Gaussian beams.

  1. An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum

    International Nuclear Information System (INIS)

    Mahalov, Alex; Suslov, Sergei K.

    2012-01-01

    We consider generalizations of the Berry and Balazs nonspreading and accelerating solution of the time-dependent Schrödinger equation in empty space, which has been experimentally demonstrated in paraxial optics. In particular, we show that the original nonspreading wave packet is unstable. An explicit variation of the initial Airy-state evolves into the self-accelerating and self-compressing solution presented here. Quasi-diffraction-free finite energy Airy beams that are more realistic for experimental study are obtained by analytic continuation and their Wigner function is evaluated. Nonlinear generalizations related to second Painlevé transcendents are briefly discussed.

  2. Study on THz wave generation from air plasma induced by quasi-square Airy beam

    Science.gov (United States)

    Zhang, Shijing; Zhang, Liangliang; Jiang, Guangtong; Zhang, Cunlin; Zhao, Yuejin

    2018-01-01

    Terahertz (THz) wave has attracted considerable attention in recent years because of its potential applications. The intense THz waves generated from air plasma induced by two-color femtosecond laser are widely used due to its high generation efficiency and broad frequency bandwidth. The parameters of the laser change the distribution of the air plasma, and then affect the generation of THz wave. In this research, we investigate the THz wave generation from air plasma induced by quasi-square Airy beam. Unlike the common Gauss beam, the quasi-square Airy beam has ability to autofocus and to increase the maximum intensity at the focus. By using the spatial light modulator (SLM), we can change the parameters of phase map to control the shape of the Airy beam. We obtain the two-color laser field by a 100-um-thick BBO crystal, then use a Golay detector to record THz wave energy. By comparing terahertz generation at different modulation depths, we find that terahertz energy produced by quasi-square Airy beam is up to 3.1 times stronger than that of Gauss beam with identical laser energy. In order to understand the influence of quasi-square Airy beam on the BBO crystal, we record THz wave energy by changing the azimuthal angle of BBO crystal with Gauss beam and Airy beam at different modulation depths. We find that the trend of terahertz energy with respect to the azimuthal angle of the BBO crystal keeps the same for different laser beams. We believe that the quasi-square Airy beam or other auto focusing beam can significantly improve the efficiency of terahertz wave generation and pave the way for its applications.

  3. Simple quantal model for collision-induced dissociation: An Airy basis calculation

    International Nuclear Information System (INIS)

    Hunt, P.M.; Sridharan, S.

    1982-01-01

    New matrix elements for the Airy continuum basis are employed to find quantum mechanical dissociation probabilities for the the forced Morse oscillator. The calculations performed illustrate the ease with which the continuously infinite Airy basis can be manipulated, and they illustrate the transition from vibrational enhancement to vibrational inhibition of diatomic breakup. The forced Morse oscillator model thus reproduces the behavior of more complicated collinear collision-induced dissociation systems

  4. Propagation Properties of Airy Beam through Periodic Slab System with Negative Index Materials

    Directory of Open Access Journals (Sweden)

    Long Jin

    2018-01-01

    Full Text Available Based on light transfer matrix and electric field vector equation, the evolution of Airy beam propagating in periodic slab system with three negative index materials (NIMs and its transmission mechanism are investigated. The intensity profiles on emergent surface of periodic slab system and side view of Airy beam propagating in each right handed material (RHM and double negative material (DNM unit including lossless and losses DNMs are discussed. It is revealed that the self-recovery Airy beam can be achieved in long distance by using lossless periodic slab system as long as the negative refractive index nl=-nr and each unit length L=Z. As to losses slab system contained DNMs, the smaller the collision frequencies are, the better the Airy beam quality is formed. It is expected that the proposed manner of beam transmission and corresponding conclusions can be useful for extension applications of optical control, especially for optical communication and optical encryption technique.

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

    Energy Technology Data Exchange (ETDEWEB)

    Zhukov, Alexander V., E-mail: alex.zhukov@outlook.sg [Singapore University of Technology & Design, 8 Somapah Road, 487372 Singapore (Singapore); Bouffanais, Roland [Singapore University of Technology & Design, 8 Somapah Road, 487372 Singapore (Singapore); Belonenko, Mikhail B. [Laboratory of Nanotechnology, Volgograd Institute of Business, 400048 Volgograd (Russian Federation); Volgograd State University, 400062 Volgograd (Russian Federation); Dvuzhilov, Ilya S. [Volgograd State University, 400062 Volgograd (Russian Federation)

    2017-03-11

    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. - Highlights: • Propagation of Airy pulses in CNTs with modulated density. • Light bullets propagate stably. • Influence of Airy parameter is revealed. • Modulation period results in an increase of the pulse velocity.

  6. Thermoacoustic focusing lens by symmetric Airy beams with phase manipulations

    Science.gov (United States)

    Liu, Chen; Xia, Jian-Ping; Sun, Hong-Xiang; Yuan, Shou-Qi

    2017-12-01

    We report the realization of broadband acoustic focusing lenses based on two symmetric thermoacoustic phased arrays of Airy beams, in which the units of thermoacoustic phase control are designed by employing air with different temperatures surrounded by rigid insulated boundaries and thermal insulation films. The phase delays of the transmitted and reflected units could cover a whole 2π interval, which arises from the change of the sound velocity of air induced by the variation of the temperature. Based on the units of phase control, we design the transmitted and reflected acoustic focusing lenses with two symmetric Airy beams, and verify the high self-healing focusing characteristic and the feasibility of the thermal insulation films. Besides, the influences of the bending angle of the Airy beam on the focusing performance are discussed in detail. The proposed acoustic lens has advantages of broad bandwidth (about 4.8 kHz), high focusing performance, self-healing feature, and simple structure, which enable it to provide more schemes for acoustic focusing. It has excellent potential applications in acoustic devices.

  7. 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

  8. Interaction of Airy-Gaussian beams in saturable media

    Science.gov (United States)

    Zhou, Meiling; Peng, Yulian; Chen, Chidao; Chen, Bo; Peng, Xi; Deng, Dongmei

    2016-08-01

    Based on the nonlinear Schrödinger equation, the interactions of the two Airy-Gaussian components in the incidence are analyzed in saturable media, under the circumstances of the same amplitude and different amplitudes, respectively. It is found that the interaction can be both attractive and repulsive depending on the relative phase. The smaller the interval between two Airy-Gaussian components in the incidence is, the stronger the intensity of the interaction. However, with the equal amplitude, the symmetry is shown and the change of quasi-breathers is opposite in the in-phase case and out-of-phase case. As the distribution factor is increased, the phenomena of the quasi-breather and the self-accelerating of the two Airy-Gaussian components are weakened. When the amplitude is not equal, the image does not have symmetry. The obvious phenomenon of the interaction always arises on the side of larger input power in the incidence. The maximum intensity image is also simulated. Many of the characteristics which are contained within other images can also be concluded in this figure. Project supported by the National Natural Science Foundation of China (Grant Nos. 11374108 and 10904041), the Foundation for the Author of Guangdong Province Excellent Doctoral Dissertation (Grant No. SYBZZXM201227), and the Foundation of Cultivating Outstanding Young Scholars (“Thousand, Hundred, Ten” Program) of Guangdong Province, China. CAS Key Laboratory of Geospace Environment, University of Science and Technology of China.

  9. The 90deg excitation function for elastic 12C+12C scattering. The importance of Airy elephants

    International Nuclear Information System (INIS)

    McVoy, K.W.; Brandan, M.E.

    1992-01-01

    The 90deg excitation function for elastic 12 C+ 12 C scattering, at laboratory energies between the Coulomb barrier and 130 MeV, exhibits a complex structure of peaks and valleys whose nature has remained an unsolved mystery for more than 20 years. The problem has primarily been caused by the difficulty of choosing from a plethora of discretely ambiguous optical potentials. However, data accumulated above 150 MeV over the last decade have determined unique potentials at these higher energies, and the requirement of continuity downward in energy has recently permitted the determination of a unique set of potentials for angular distributions at energies below 130 MeV, where the excitation-function data exist. These new potentials are used to provide a mean-field (i.e., nonresonant) interpretation of the structure in the 12 C+ 12 C 90deg excitation function between 70 and 130 MeV. Its most prominent minima are found to be Airy minima from nuclear rainbows, with the remaining structure arising primarily from more elementary optical phenomena related to Fraunhofer diffraction. These same potentials are also successful in explaining the details of excitation functions measured very recently at other angles by Morsad. (orig.)

  10. Probing neural tissue with airy light-sheet microscopy: investigation of imaging performance at depth within turbid media

    Science.gov (United States)

    Nylk, Jonathan; McCluskey, Kaley; Aggarwal, Sanya; Tello, Javier A.; Dholakia, Kishan

    2017-02-01

    Light-sheet microscopy (LSM) has received great interest for fluorescent imaging applications in biomedicine as it facilitates three-dimensional visualisation of large sample volumes with high spatiotemporal resolution whilst minimising irradiation of, and photo-damage to the specimen. Despite these advantages, LSM can only visualize superficial layers of turbid tissues, such as mammalian neural tissue. Propagation-invariant light modes have played a key role in the development of high-resolution LSM techniques as they overcome the natural divergence of a Gaussian beam, enabling uniform and thin light-sheets over large distances. Most notably, Bessel and Airy beam-based light-sheet imaging modalities have been demonstrated. In the single-photon excitation regime and in lightly scattering specimens, Airy-LSM has given competitive performance with advanced Bessel-LSM techniques. Airy and Bessel beams share the property of self-healing, the ability of the beam to regenerate its transverse beam profile after propagation around an obstacle. Bessel-LSM techniques have been shown to increase the penetration-depth of the illumination into turbid specimens but this effect has been understudied in biologically relevant tissues, particularly for Airy beams. It is expected that Airy-LSM will give a similar enhancement over Gaussian-LSM. In this paper, we report on the comparison of Airy-LSM and Gaussian-LSM imaging modalities within cleared and non-cleared mouse brain tissue. In particular, we examine image quality versus tissue depth by quantitative spatial Fourier analysis of neural structures in virally transduced fluorescent tissue sections, showing a three-fold enhancement at 50 μm depth into non-cleared tissue with Airy-LSM. Complimentary analysis is performed by resolution measurements in bead-injected tissue sections.

  11. Model of a tunneling current in a p-n junction based on armchair graphene nanoribbons - an Airy function approach and a transfer matrix method

    International Nuclear Information System (INIS)

    Suhendi, Endi; Syariati, Rifki; Noor, Fatimah A.; Khairurrijal; Kurniasih, Neny

    2014-01-01

    We modeled a tunneling current in a p-n junction based on armchair graphene nanoribbons (AGNRs) by using an Airy function approach (AFA) and a transfer matrix method (TMM). We used β-type AGNRs, in which its band gap energy and electron effective mass depends on its width as given by the extended Huckel theory. It was shown that the tunneling currents evaluated by employing the AFA are the same as those obtained under the TMM. Moreover, the calculated tunneling current was proportional to the voltage bias and inversely with temperature

  12. Autobiography of Sir George Biddell Airy

    Science.gov (United States)

    Airy, George Biddell; Airy, Wilfred

    2010-06-01

    Preface; 1. Personal sketch of George Biddell Airy; 2. From his birth to his taking his B.A. degree; 3. At Trinity College, Cambridge; 4. At Cambridge Observatory; 5. At Greenwich Observatory, 1836-1846; 6. At Greenwich Observatory, 1846-1856; 7. At Greenwich Observatory, 1856-1866; 8. At Greenwich Observatory, 1866-1876; 9. At Greenwich Observatory to his resignation in 1881; 10. At the White House, Greewich, to his death; Appendix: List of printed papers; Index.

  13. 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...

  14. 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.

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

    KAUST Repository

    Mamlouk, Hedi; Guessasma, Sofiane

    2013-01-01

    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

  17. 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

  18. Evaluation of the AIRIS Standoff Hyperspectral Imaging System

    Science.gov (United States)

    2011-01-01

    desorption gas chromatography ( TD -GC). 13 4.4 Sensor Configuration For these measurements the AIRIS sensor was mounted on a lab bench opposite the fume...I J. ^4 5 . . ? J? s - » - ? ] g > > 1 ; j ’.’ S •; u] | 1 z | r 2 .• ^ z i ^ ^ ^’ i £ ^ | | i i 2 | Z I i i £ J: • in 1/1 c & <£• •: llJ 15 10

  19. Analysis of moire figures using interferometric lattices with Airy perfils

    International Nuclear Information System (INIS)

    Rabal, H.J.; Garavaglia, M.

    1979-01-01

    Using a Fabry-Perot interferometer and a spectrograph, iluminated with white light, ondulatory spectra are obtained. The componentes are not equidistance among them and the intensity distribution obeys the Airy's law. It is been made preliminar experiments to determinate if the moire figures, generated by the ondulatory spectra interaction, allows to measure displacements, rotations, etc [es

  20. Airy's and Klinkerfues' experiments incompatible with special relativity

    International Nuclear Information System (INIS)

    Wilczyn'ski, J.

    1986-01-01

    One Airy's and two Klinkerfues' experiments and their results are analysed in details; the mistakes committed by Klinkerfues in his consideration and derivation are corrected. Each of these results finds no explanation in Einstein's special theory of relativity (STR). The so-called relativistic 'aberrational refraction' in the aberration effect ought to be rejected with further consequences in STR. Each of the experiments confirms the explanation given by classical physics but with the drag co-efficient K equal to k 2 =1-1/n instead of to k=1-1/n 2 (n-the refractive index). And, in agreement with this author's derivation for K=k 2 , the independence of t he starlight aberration of filling really exists only in Airy's telescope and does not exist in Klinkerfues' lunette. Because K not equal to k in the experiments, the method used in the first Klinkerfues experiment is a one to measure the absolute values of both aberration and Earth's speed V at one point of the Earth's orbit. The value of 30 km/s, received in the experiment, finds its explanation in a new model of ether and light. The singularity of the instrument with broken tube is revealed. The deflection effect at reflection of starlight from a moving mirror is confirmed in Klinkerfues' experiments. (author). 58 refs

  1. AiryÕs Greenwich Staff

    Science.gov (United States)

    Chapman, A.

    2012-01-01

    One major research development in the history of astronomy, pioneered in particular by the SHA, is a shift from the concern with what the ÔgiantsÕ, such as Galileo or Newton, achieved to an examination of the wider spectrum of astronomical personnel. And one rich field of inquiry here is that body of men, and later of women, who earned their livings as assistant astronomers. It is, in fact, an abundantly documented area, including figures employed in Grand Amateur, university, and civic observatories, though without doubt the richest and longest-running body of data pertaining to what might be called the ÔAstronomersÕ GentlemenÕ comes from the archives of the Royal Observatory, Greenwich, especially for the years 1835 to 1881, when Sir George Biddell Airy was Astronomer Royal.

  2. 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.

  3. Global rainbow thermometry assessed by Airy and Lorenz-Mie theories and compared with phase Doppler anemometry.

    Science.gov (United States)

    van Beeck, Jeronimus Petrus Antonius Johannes; Grosges, Thomas; De Giorgi, Maria Grazia

    2003-07-01

    Global rainbow thermometry (GRT) measures the mean size and temperature of an ensemble of spray droplets. The domain of validity of the Airy theory for this technique is established through comparison with Lorenz-Mie theory. The temperature derivation from the inflection points of the Airy rainbow pattern appears to be independent of the type of spray dispersion. Measurements in a water spray are reported. The mean diameter obtained from the rainbow pattern lies between the arithmetic and the Sauter mean diameters measured by phase Doppler anemometry. The temperature measurement by GRT is shown to be accurate within a few degrees Celsius.

  4. 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

  5. Noored ei usu oma võimalustesse olulisi otsuseid mõjutada / Airi-Alina Allaste

    Index Scriptorium Estoniae

    Allaste, Airi-Alina, 1967-

    2015-01-01

    Euroopa Komisjoni rahastatud projektist Myplace, mis keskendus noorte ühiskondlikule, poliitilisele ja kodanikuaktiivsusele 14 riigis. Eestis uuriti 16-24-aastaseid noori Ida-Virumaal ja Tartumaal. Intervjuu Myplace'i projekti Eesti juhi, Tallinna Ülikooli sotsioloogia professori Airi-Alina Allastega

  6. Computer program for Bessel and Hankel functions

    Science.gov (United States)

    Kreider, Kevin L.; Saule, Arthur V.; Rice, Edward J.; Clark, Bruce J.

    1991-01-01

    A set of FORTRAN subroutines for calculating Bessel and Hankel functions is presented. The routines calculate Bessel and Hankel functions of the first and second kinds, as well as their derivatives, for wide ranges of integer order and real or complex argument in single or double precision. Depending on the order and argument, one of three evaluation methods is used: the power series definition, an Airy function expansion, or an asymptotic expansion. Routines to calculate Airy functions and their derivatives are also included.

  7. Special functions & their applications

    CERN Document Server

    Lebedev, N N

    1972-01-01

    Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.

  8. 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.

  9. 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

  10. Interplay between topological phase and self-acceleration in a vortex symmetric Airy beam.

    Science.gov (United States)

    Fang, Zhao-Xiang; Chen, Yue; Ren, Yu-Xuan; Gong, Lei; Lu, Rong-De; Zhang, An-Qi; Zhao, Hong-Ze; Wang, Pei

    2018-03-19

    Photons in an optical vortex usually carry orbital angular momentum, which boosts the application of the micro-rotation of absorbing particles and quantum information encoding. Such photons propagate along a straight line in free space or follow a curved trace once guided by an optical fiber. Teleportation of an optical vortex using a beam with non-diffraction and self-healing is quite challenging. We demonstrate the manipulation of the propagation trace of an optical vortex with a symmetric Airy beam (SAB) and found that the SAB experiences self-rotation with the implementation of a topological phase structure of coaxial vortex. Slight misalignment of the vortex and the SAB enables the guiding of the vortex into one of the self-accelerating channels. Multiple off-axis vortices embedded in SAB are also demonstrated to follow the trajectory of the major lobe for the SAB beam. The Poynting vector for the beams proves the direction of the energy flow corresponding to the intensity distribution. Hence, we anticipate that the proposed vortex symmetric Airy beam (VSAB) will provide new possibilities for optical manipulation and optical communication.

  11. Tight focusing of radially polarized circular Airy vortex beams

    Science.gov (United States)

    Chen, Musheng; Huang, Sujuan; Shao, Wei

    2017-11-01

    Tight focusing properties of radially polarized circular Airy vortex beams (CAVB) are studied numerically. The light field expressions for the focused fields are derived based on vectorial Debye theory. We also study the relationship between focal profiles, such as light intensity distribution, radius of focal spot and focal length, and the parameters of CAVB. Numerical results demonstrate that we can generate a radially polarized CAVB with super-long focal length, super-strong longitudinal intensity or subwavelength focused spot at the focal plane by properly choosing the parameters of incident light and high numerical aperture (NA) lens. These results have potential applications for optical trapping, optical storage and particle acceleration.

  12. "Extraneous government business": the Astronomer Royal as government scientist: George Airy and his work on the commissions of state and other bodies, 1838-1880

    Science.gov (United States)

    Perkins, Adam

    2001-12-01

    In the absence of a scientific civil service the governments of Victoria's reign had few public servants to consult when it came to the requirement for specialist scientific and technological advice - and this was at the height of the industrial revolution when the enormous changes wrought were affecting the whole population of Britain. So governments turned to one man of cast-iron probity and unparalleled credentials: George Airy. Though his formal scientific training was in mathematics and astronomy, not the engineering and thermodynamics that the industrial age might have called for, Airy gave of his time and energy to the full. But what were the purposes of the commissions? When did they sit? Who ran the Royal Observatory in Airy's absence? Only recently have the original papers in the RGO Archives been plumbed in any depth and the answers to these questions make an intriguing story.

  13. Simulation of generation and dynamics of polarization singularities with circular Airy beams.

    Science.gov (United States)

    Ye, Dong; Peng, Xinyu; Zhou, Muchun; Xin, Yu; Song, Minmin

    2017-11-01

    The generation and dynamics of polarization singularities have been underresearched for years, while the focusing property of the topological configuration has not been explored much. In this paper, we simulated the generation of low-order polarization singularities with a circular Airy beam and explored the focusing property of the synthetic light field during propagation due to the autofocusing of the component. Our work researched the focusing properties of the polarization singularity configuration, which may help to develop its application prospect.

  14. The first-passage area for drifted Brownian motion and the moments of the Airy distribution

    International Nuclear Information System (INIS)

    Kearney, Michael J; Majumdar, Satya N; Martin, Richard J

    2007-01-01

    An exact expression for the distribution of the area swept out by a drifted Brownian motion till its first-passage time is derived. A study of the asymptotic behaviour confirms earlier conjectures and clarifies their range of validity. The analysis leads to a simple closed-form solution for the moments of the Airy distribution. (fast track communication)

  15. 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.

  16. EKSISTENSI DAN KETUNGGALAN SOLUSI PERSAMAAN GELOMBANG AIRY MENGGUNAKAN PENDEKATAN SEMIGRUP C_0

    Directory of Open Access Journals (Sweden)

    M Kiftiah

    2017-03-01

    Full Text Available Semigrup  merupakan salah satu metode yang digunakan untuk menunjukkan Masalah Nilai Awal (MNA dari persamaan diferensial di Ruang Hilbert bersifat well posed. MNA dalam abstrak ini disebut Masalah Cauchy Abstrak. Semigrup pada Ruang Hilbert H merupakan keluarga operator linear  pada Ruang Hilbert H yang tertutup terhadap komposisi dan memiliki elemen identitas. Lebih lanjut, jika semigrup mempunyai turunan kanan di  maka turunannya disebut infinitesimal generator. Dalam hal ini, Teorema Lumer Philips memberikan ekivalensi antara infinitesimal generator dengan semigrup. Dalam hal tertentu semigrup dapat diperluas menjadi grup. Teorema Stone memberikan ekuivalensi antara generator dengan grup. Secara teknis, Teorema Lumer Philips mengatakan MNA bersifat well posed jika dan hanya jika infinitesimal generatornya bersifat m-dissipative. Selanjutnya, pendekatan semigrup diaplikasikan pada persamaan Airy.Semigroup  is one method used to show the Initial Value Problems (MNAof differential equations in Hilbert space is well posed. In this research, MNA called Abstract Cauchy Problems. Semigroup is a family of linear operators  on Hilbert Space H which is closed under composition and has an identity element. Furthermore, if semigrup has a right derivative at  then it is called infinitesimal generator. In this case, the Lumer Philips Theorem provides the equivalence between infinitesimal generator and semigroup. In certain cases, semigroup can be expanded into a group. Stone Theorem gives the equivalence between generator and group. Then Lumer Philips Theorem said the MNA is well posed if and only if the infinitesimal generator is m-dissipative. Furthermore, semigroup approach was applied to the Airy equation.

  17. 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

    International Nuclear Information System (INIS)

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

    2010-01-01

    Analytical expressions of electron transmittance and tunneling current in an anisotropic TiN x /HfO 2 /SiO 2 /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 TiN x metal gate increases because the electron effective mass of TiN x 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. (semiconductor devices)

  18. Propagation properties of the chirped Airy beams through the gradient-index medium

    Science.gov (United States)

    Feng, Liyan; Zhang, Jianbin; Pang, Zihao; Wang, Linyi; Zhong, Tianfen; Yang, Xiangbo; Deng, Dongmei

    2017-11-01

    Through analytical derivation and numerical analysis, the propagation properties of the chirped Airy(CAi) beams in the gradient-index medium are investigated. The intensity and the phase distributions, the propagation trajectory and the Poynting vector of the CAi beams are demonstrated to investigate the propagation properties. Owing to the special and symmetrical refractive index profile of the gradient-index medium, the CAi beams propagate periodically. The effects of the distribution factor and the chirped parameter on the propagation of the CAi beams are analyzed. As the increasing of the distribution factor, the intensity distribution of the CAi beams is more scattering. However, with the chirped parameter increasing, the focusing property of the CAi beams strengthens. The variation of the chirped parameter can change the position of the peak intensity maximum, but it cannot alter the period of the peak intensity. The variations of the initial phase and the energy of the beams in the transverse plane expedite accordingly.

  19. Luigi Gatteschi's work on asymptotics of special functions and their zeros

    Science.gov (United States)

    Gautschi, Walter; Giordano, Carla

    2008-12-01

    A good portion of Gatteschi's research publications-about 65%-is devoted to asymptotics of special functions and their zeros. Most prominently among the special functions studied figure classical orthogonal polynomials, notably Jacobi polynomials and their special cases, Laguerre polynomials, and Hermite polynomials by implication. Other important classes of special functions dealt with are Bessel functions of the first and second kind, Airy functions, and confluent hypergeometric functions, both in Tricomi's and Whittaker's form. This work is reviewed here, and organized along methodological lines.

  20. Special function solutions of the free particle Dirac equation

    International Nuclear Information System (INIS)

    Strange, P

    2012-01-01

    The Dirac equation is one of the fundamental equations in physics. Here we present and discuss two novel solutions of the free particle Dirac equation. These solutions have an exact analytical form in terms of Airy or Mathieu functions and exhibit unexpected properties including an enhanced Doppler effect, accelerating wavefronts and solutions with a degree of localization. (paper)

  1. Acoustics of finite asymmetric exotic beams: Examples of Airy and fractional Bessel beams

    Science.gov (United States)

    Mitri, F. G.

    2017-12-01

    The purpose of this investigation is to examine the properties of finite asymmetric exotic scalar (acoustic) beams with unusual properties using the angular spectrum decomposition in plane waves. Such beams possess intrinsic uncommon characteristics that make them attractive from the standpoint of particle manipulation, handling and rotation, and possibly other applications in particle clearing and separation. Assuming a specific apodization function at the acoustic source, the angular spectrum function is calculated and used to synthesize the radiated pressure field (i.e., excluding evanescent waves that decay away from the source) in the forward direction of wave motion (i.e., away from the source). Moreover, a generalized hybrid method combining the angular spectrum approach with the multipole expansion formalism in spherical coordinates is developed, which is applicable to any finite beam of arbitrary wavefront. The improved approach allows adequate computation of the resonance scattering, radiation force, and spin torque components on an object of arbitrary shape, located on or off the axis of the incident beam in space. Considering the illustrative example of a viscous fluid sphere submerged in a non-viscous liquid and illuminated by finite asymmetric beams such as the Airy and the Bessel vortex beam with fractional order, numerical computations for the scattering, radiation force, and torque components are performed with an emphasis on the distance from the source, the arbitrary location of the particle ,and the asymmetric nature of the incident field. Moreover, beamforming calculations are presented with supplementary animations for the pressure field distribution in space, with an emphasis on the intrinsic properties of the selected beams. The numerical predictions illustrate the scattering, radiation force, and spin torque properties depending on the beam parameters and the distance separating the sphere from the source. This study provides a generalized

  2. Improved WKB radial wave functions in several bases

    International Nuclear Information System (INIS)

    Durand, B.; Durand, L.; Department of Physics, University of Wisconsin, Madison, Wisconsin 53706)

    1986-01-01

    We develop approximate WKB-like solutions to the radial Schroedinger equation for problems with an angular momentum barrier using Riccati-Bessel, Coulomb, and harmonic-oscillator functions as basis functions. The solutions treat the angular momentum singularity near the origin more accurately in leading approximation than the standard WKB solutions based on sine waves. The solutions based on Riccati-Bessel and free Coulomb wave functions continue smoothly through the inner turning point and are appropriate for scattering problems. The solutions based on oscillator and bound Coulomb wave functions incorporate both turning points smoothly and are particularly appropriate for bound-state problems; no matching of piecewise solutions using Airy functions is necessary

  3. Effects of a modulated vortex structure on the diffraction dynamics of ring Airy Gaussian beams.

    Science.gov (United States)

    Huang, Xianwei; Shi, Xiaohui; Deng, Zhixiang; Bai, Yanfeng; Fu, Xiquan

    2017-09-01

    The evolution of the ring Airy Gaussian beams with a modulated vortex in free space is numerically investigated. Compared with the unmodulated vortex, the unique property is that the beam spots first break up, and then gather. The evolution of the beams is influenced by the parameters of the vortex modulation, and the splitting phenomenon gets enhanced with multiple rings becoming light spots if the modulation depth increases. The symmetric branch pattern of the beam spots gets changed when the number of phase folds increases, and the initial modulation phase only impacts the angle of the beam spots. Moreover, a large distribution factor correlates to a hollow Gaussian vortex shape and weakens the splitting and gathering trend. By changing the initial parameters of the vortex modulation and the distribution factor, the peak intensity is greatly affected. In addition, the energy flow and the angular momentum are elucidated with the beam evolution features being confirmed.

  4. Predicting the past: ancient eclipses and Airy, Newcomb, and Huxley on the authority of science.

    Science.gov (United States)

    Stanley, Matthew

    2012-06-01

    Greek historical accounts of ancient eclipses were an important, if peculiar, focus of scientific attention in the nineteenth century. Victorian-era astronomers tried to correct the classical histories using scientific methods, then used those histories as data with which to calibrate their lunar theories, then rejected the histories as having any relevance at all. The specific dating of these eclipses--apparently a simple exercise in celestial mechanics--became bound up with tensions between scientific and humanistic approaches to the past as well as with wider social debates over the power and authority of science in general. The major figures discussed here, including G. B. Airy, Simon Newcomb, and T. H. Huxley, argued that the critical question was whether science could speak authoritatively about the past. To them, the ability of science to talk about the past indicated its power to talk about the future; it was also the fulcrum of fierce boundary disputes among science, history, and religion.

  5. Semiclassical propagator of the Wigner function.

    Science.gov (United States)

    Dittrich, Thomas; Viviescas, Carlos; Sandoval, Luis

    2006-02-24

    Propagation of the Wigner function is studied on two levels of semiclassical propagation: one based on the Van Vleck propagator, the other on phase-space path integration. Leading quantum corrections to the classical Liouville propagator take the form of a time-dependent quantum spot. Its oscillatory structure depends on whether the underlying classical flow is elliptic or hyperbolic. It can be interpreted as the result of interference of a pair of classical trajectories, indicating how quantum coherences are to be propagated semiclassically in phase space. The phase-space path-integral approach allows for a finer resolution of the quantum spot in terms of Airy functions.

  6. Indispensable factors influence the quasi-bound levels of biased multi-barrier quantum well structures

    International Nuclear Information System (INIS)

    Wang Hongmei; Xu Huaizhe; Zhang Yafei

    2005-01-01

    A few of mistakes made in transfer matrix method of Airy functions in previous literatures have been identified and corrected in this work. By using our improved transfer matrix method of Airy functions, quasi-bound level dependence upon carrier effective masses, bias, well width, barrier width and height has been investigated systematically for several biased/unbiased double/triple-barrier quantum well structures. Its validity and accuracy has been proved by comparisons with other currently used techniques. It is shown that our improved transfer matrix method of Airy functions is more promising for evaluating and designing intra-band transition far-infrared detectors and quantum cascade lasers

  7. On the elastostatic significance of four boundary integrals involving biharmonic functions

    DEFF Research Database (Denmark)

    Christiansen, Søren

    1998-01-01

    For a biharmonic function U, depending upon two space variables, it is known that four curve integrals, which involve U and some derivatives of U evaluated at a closed boundary, must be equal to zero. When U plays the role of an Airy stress function, we investigate the elastostatic significance o...... with the values of the four integrals. The computer algebra system Maple V has been an invaluable tool. By suitable comparisons among the various results obtained we are led to the conclusions about the elastostatic significance of the integrals....

  8. Dispersion analysis for difference schemes: tables of generalized Airy functions

    International Nuclear Information System (INIS)

    Chin, R.C.Y.; Hedstrom, G.W.

    1978-01-01

    This papers contains graphs and tables of the function /sup Ai/p,q(/sup alpha,x/) =∫/sup infinity/: infinity (2π) -1 exp]y/sup p//p-αy/sup q//q+ixy]dy and its indefinite integral for p=3,5,7, for q=2,4,6, and for several values of α with α> or =0. It is shown how these tables should influence the choice of an artifical viscosity for a difference scheme for a linear hyperbolic equation

  9. Comparison of Electron Transmittance and Tunneling Current through a Trapezoidal Potential Barrier with Spin Polarization Consideration by using Analytical and Numerical Approaches

    Science.gov (United States)

    Nabila, Ezra; Noor, Fatimah A.; Khairurrijal

    2017-07-01

    In this study, we report an analytical calculation of electron transmittance and polarized tunneling current in a single barrier heterostructure of a metal-GaSb-metal by considering the Dresselhaus spin orbit effect. Exponential function, WKB method and Airy function were used in calculating the electron transmittance and tunneling current. A Transfer Matrix Method, as a numerical method, was utilized as the benchmark to evaluate the analytical calculation. It was found that the transmittances calculated under exponential function and Airy function is the same as that calculated under TMM method at low electron energy. However, at high electron energy only the transmittance calculated under Airy function approach is the same as that calculated under TMM method. It was also shown that the transmittances both of spin-up and spin-down conditions increase as the electron energy increases for low energies. Furthermore, the tunneling current decreases with increasing the barrier width.

  10. Vertex function of an electron in a constant electromagnetic field

    International Nuclear Information System (INIS)

    Morozov, D.A.; Narozhnyj, N.B.; Ritus, V.I.

    1981-01-01

    The third order with respect to radiation field vertex function for an electron located in a constant crossed field of arbitrary intensity is determined. It is shown that radiative interaction smears out the Airy function which describes the intensity of the interaction between electrons and photons in an external field as a function of the nonconserving momentum component. The qualitative relation Vsup((3)) approximately αchisup(2/3)Vsup((1)) between the third and first order vertex functions is found for large values of the dynamic parameter chi=((eFp)sup(2))sup(1/2)msup(-2). It is also shown that radiative interaction does not alter the order of magnitude of the squared mass of the system transferred at the vertex. The vertex function satisfies the Ward identity modified by the external field [ru

  11. Optical force and torque on a dielectric Rayleigh particle by a circular Airy vortex beam

    Science.gov (United States)

    Chen, Musheng; Huang, Sujuan; Shao, Wei; Liu, Xianpeng

    2018-03-01

    Optical force and torque exerted on the Rayleigh particles by tightly focused circularly polarized circular Airy vortex beams (CAVB) in the far field are studied in this paper. The relation between parameters of circularly polarized CAVB and the trapping properties is numerically analyzed based on Rayleigh models and the Debye diffraction theory. The results show that both the high refractive index and low refractive index particles can be fully stably trapped in three dimensions by circularly polarized CAVB. The parameters of circularly polarized CAVB greatly affect the optical force. The longitudinal and transverse gradient force increase with the increase of decay factor and scaling factor, and decrease with the increase of the radius of the first primary ring and topological charges. The positions of the longitudinal stable equilibrium move toward the high numerical aperture lens when the scaling factor and the radius of the primary ring increase. The trapping range is broadened with the decrease of scaling factor. The optical orbital torque (OOT) of circularly polarized CAVB has circular symmetry and remains positive or negative. With the increase of topological charges, the peak value of OOT first increases and then decreases after reaches a maximum. These results are useful for optical trapping, optical levitation and particle acceleration.

  12. Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium.

    Science.gov (United States)

    Xie, Jintao; Zhang, Jianbin; Ye, Junran; Liu, Haowei; Liang, Zhuoying; Long, Shangjie; Zhou, Kangzhu; Deng, Dongmei

    2018-03-05

    We introduce the propagation of the first-order chirped Airy vortex beams (FCAiV) in a chiral medium analytically. Results show that the FCAiV beams split into the left circularly polarized vortex (LCPV) beams and the right circularly polarized vortex (RCPV) beams, which have totally different propagation trajectories in the chiral medium. In this paper, we investigate the effects of the first-order chirped parameter β, the chiral parameter γ and the optical vortex on the propagation process of the FCAiV beams. It is shown that the propagation trajectory of the FCAiV beams declines with the chirped parameter increasing. Besides, the increase of the chiral parameter acting on the LCPV beams makes the relative position between the main lobe and the optical vortex further while the effect on the RCPV beams is the opposite. Furthermore, the relative position between the main lobe and the optical vortex contributes to the position of the intensity focusing. Meanwhile, with the chiral parameter increasing, the maximum gradient and scattering forces of the LCPV beams decrease but those of the RCPV beams will increase during the propagation. It is significant that we can control the propagation trajectory, the intensity focusing position and the radiation forces of the FCAiV beams by varying the chirped parameter and the chiral parameter.

  13. Noncommuting limits of oscillator wave functions

    International Nuclear Information System (INIS)

    Daboul, J.; Pogosyan, G. S.; Wolf, K. B.

    2007-01-01

    Quantum harmonic oscillators with spring constants k > 0 plus constant forces f exhibit rescaled and displaced Hermite-Gaussian wave functions, and discrete, lower bound spectra. We examine their limits when (k, f) → (0, 0) along two different paths. When f → 0 and then k → 0, the contraction is standard: the system becomes free with a double continuous, positive spectrum, and the wave functions limit to plane waves of definite parity. On the other hand, when k → 0 first, the contraction path passes through the free-fall system, with a continuous, nondegenerate, unbounded spectrum and displaced Airy wave functions, while parity is lost. The subsequent f → 0 limit of the nonstandard path shows the dc hysteresis phenomenon of noncommuting contractions: the lost parity reappears as an infinitely oscillating superposition of the two limiting solutions that are related by the symmetry

  14. A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element

    Directory of Open Access Journals (Sweden)

    Pei-Lei Zhou

    2015-01-01

    Full Text Available A novel plane quadratic shape-free hybrid stress-function (HS-F polygonal element is developed by employing the principle of minimum complementary energy and the fundamental analytical solutions of the Airy stress function. Without construction of displacement interpolation function, the formulations of the new model are much simpler than those of the displacement-based polygonal elements and can be degenerated into triangular or quadrilateral elements directly. In particular, it is quite insensitive to various mesh distortions and even can keep precision when element shape is concave. Furthermore, the element does not show any spurious zero energy modes. Numerical examples show the excellent performance of the new element, denoted by HSF-AP-19β, in both displacement and stress solutions.

  15. Semiclassical propagation of Wigner functions.

    Science.gov (United States)

    Dittrich, T; Gómez, E A; Pachón, L A

    2010-06-07

    We present a comprehensive study of semiclassical phase-space propagation in the Wigner representation, emphasizing numerical applications, in particular as an initial-value representation. Two semiclassical approximation schemes are discussed. The propagator of the Wigner function based on van Vleck's approximation replaces the Liouville propagator by a quantum spot with an oscillatory pattern reflecting the interference between pairs of classical trajectories. Employing phase-space path integration instead, caustics in the quantum spot are resolved in terms of Airy functions. We apply both to two benchmark models of nonlinear molecular potentials, the Morse oscillator and the quartic double well, to test them in standard tasks such as computing autocorrelation functions and propagating coherent states. The performance of semiclassical Wigner propagation is very good even in the presence of marked quantum effects, e.g., in coherent tunneling and in propagating Schrodinger cat states, and of classical chaos in four-dimensional phase space. We suggest options for an effective numerical implementation of our method and for integrating it in Monte-Carlo-Metropolis algorithms suitable for high-dimensional systems.

  16. Influence of Stress Shape Function on Analysis of Contact Problem Using Hybrid Photoelasticity

    International Nuclear Information System (INIS)

    Shin, Dongchul; Hawong, Jaisug

    2013-01-01

    In this research, a study on stress shape functions was conducted to analyze the contact stress problem by using a hybrid photoelasticity. Because the contact stress problem is generally solved as a half-plane problem, the relationship between two analytical stress functions, which are compositions of the Airy stress function, was similar to one of the crack problem. However, this relationship in itself could not be used to solve the contact stress problem (especially one with singular points). Therefore, to analyze the contact stress problem more correctly, stress shape functions based on the condition of two contact end points had to be considered in the form of these two analytical stress functions. The four types of stress shape functions were related to the stress singularities at the two contact end points. Among them, the primary two types used for the analysis of an O-ring were selected, and their validities were verified in this work

  17. Maximum of an Airy process plus Brownian motion and memory in Kardar-Parisi-Zhang growth

    Science.gov (United States)

    Le Doussal, Pierre

    2017-12-01

    We obtain several exact results for universal distributions involving the maximum of the Airy2 process minus a parabola and plus a Brownian motion, with applications to the one-dimensional Kardar-Parisi-Zhang (KPZ) stochastic growth universality class. This allows one to obtain (i) the universal limit, for large time separation, of the two-time height correlation for droplet initial conditions, e.g., C∞=limt2/t1→+∞h(t1) h (t2)¯c/h(t1)2¯c, with C∞≈0.623 , as well as conditional moments, which quantify ergodicity breaking in the time evolution; (ii) in the same limit, the distribution of the midpoint position x (t1) of a directed polymer of length t2; and (iii) the height distribution in stationary KPZ with a step. These results are derived from the replica Bethe ansatz for the KPZ continuum equation, with a "decoupling assumption" in the large time limit. They agree and confirm, whenever they can be compared, with (i) our recent tail results for two-time KPZ with the work by de Nardis and Le Doussal [J. Stat. Mech. (2017) 053212, 10.1088/1742-5468/aa6bce], checked in experiments with the work by Takeuchi and co-workers [De Nardis et al., Phys. Rev. Lett. 118, 125701 (2017), 10.1103/PhysRevLett.118.125701] and (ii) a recent result of Maes and Thiery [J. Stat. Phys. 168, 937 (2017), 10.1007/s10955-017-1839-2] on midpoint position.

  18. Evolution of arbitrary moments of radiant intensity distribution for partially coherent general beams in atmospheric turbulence

    Science.gov (United States)

    Dan, Youquan; Xu, Yonggen

    2018-04-01

    The evolution law of arbitrary order moments of the Wigner distribution function, which can be applied to the different spatial power spectra, is obtained for partially coherent general beams propagating in atmospheric turbulence using the extended Huygens-Fresnel principle. A coupling coefficient of radiant intensity distribution (RID) in turbulence is introduced. Analytical expressions of the evolution of the first five-order moments, kurtosis parameter, coupling coefficient of RID for general beams in turbulence are derived, and the formulas are applied to Airy beams. Results show that there exist two types for general beams in turbulence. A larger value of kurtosis parameter for Airy beams also reveals that coupling effect due to turbulence is stronger. Both theoretical analysis and numerical results show that the maximum value of kurtosis parameter for an Airy beam in turbulence is independent of turbulence strength parameter and is only determined by inner scale of turbulence. Relative angular spread, kurtosis and coupling coefficient are less influenced by turbulence for Airy beams with a smaller decay factor and a smaller initial width of the first lobe.

  19. Paraxial propagation dynamics of the radially polarized Airy beams in uniaxial crystals orthogonal to the optical axis.

    Science.gov (United States)

    Xie, Jintao; Zhang, Jianbin; Zheng, Xitao; Ye, Junran; Deng, Dongmei

    2018-04-30

    We study the paraxial propagation of the radially polarized Airy beams (RPAiBs) in uniaxial crystals orthogonal to the optical axis analytically and numerically. The propagation trajectory, the intensity and the radiation forces of the RPAiBs are investigated and the properties are elucidated by numerical examples in this paper. Results show that the RPAiBs evolve into the beams produced by the x-direction electric field (RPAiXBs) and the y-direction electric field (PRAiYBs) which are totally different in uniaxial crystals. During the propagation, the intensity of the RPAiXBs transfers from the side lobe in the x-direction to the main lobe and finally returns to the side lobe in the x-direction again, but that of the RPAiYBs transfers from the side lobe in the y-direction to the main lobe and flows to the side lobe in the x-direction at last. The effect of the intensity focusing for the RPAiXBs can be modulated by the ratio of the extraordinary index (ne) to the ordinary index (no) in anisotropic medium, which contributes to the intensity focusing of the RPAiBs in a short distance a lot. We can adjust the intensity distribution especially the focusing position, the propagation trajectory and the radiation forces distributions of the RPAiXBs through choosing an appropriate value of the ratio of ne to no to meet the actual usage accordingly.

  20. 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.

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

    Science.gov (United States)

    Yan, Zhi; Zaman, Mostafa; Jiang, Liying

    2011-12-12

    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 g 31 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.

  2. New Explicit Solutions of (1 + 1)-Dimensional Variable-Coefficient Broer-Kaup System

    International Nuclear Information System (INIS)

    Yan Zhilian; Zhou Jianping

    2010-01-01

    By using the compatibility method, many explicit solutions of the (1 + 1)-dimensional variable-coefficient Broer-Kaup system are constructed, which include new solutions expressed by error function, Bessel function, exponential function, and Airy function. Some figures of the solutions are given by the symbolic computation system Maple. (general)

  3. SAS üritab panna riiki lennufirma aktsiaid müüma / Lemmi Kann

    Index Scriptorium Estoniae

    Kann, Lemmi

    2007-01-01

    SAS-i eesmärgiks on saada enamusosalus nii Estonian Airis kui ka airBalticus, et seeläbi oma positsioone Baltimaades kinnistada. Diagramm: Estonian Airi majandusnäitajad ja omanikud. Vt. samas: SAS on Estonian Airi jahtinud kaua. Kommenteerib Raivo Vare

  4. Image system analysis of human eye wave-front aberration on the basis of HSS

    Science.gov (United States)

    Xu, Ancheng

    2017-07-01

    Hartmann-Shack sensor (HSS) has been used in objective measurement of human eye wave-front aberration, but the research on the effects of sampling point size on the accuracy of the result has not been reported. In this paper, point spread function (PSF) of the whole system mathematical model was obtained via measuring the optical imaging system structure of human eye wave-front aberration measurement. The impact of Airy spot size on the accuracy of system was analyzed. Statistics study show that the geometry of Airy spot size of the ideal light source sent from eye retina formed on the surface of HSS is far smaller than the size of the HSS sample point image used in the experiment. Therefore, the effect of Airy spot on the precision of the system can be ignored. This study theoretically and experimentally justifies the reliability and accuracy of human eye wave-front aberration measurement based on HSS.

  5. The Cauchy problem for the Schrödinger-KdV system

    Science.gov (United States)

    Wang, Hua; Cui, Shangbin

    In this paper we prove that in the general case (i.e. β not necessarily vanishing) the Cauchy problem for the Schrödinger-Korteweg-de Vries system is locally well-posed in L×H, and if β=0 then it is locally well-posed in H×H with -3/16Linares (2007) [5]. Idea of the proof is to establish some bilinear and trilinear estimates in the space G×F, where G and F are dyadic Bourgain-type spaces related to the Schrödinger operator i∂+∂x2 and the Airy operator ∂+∂x3, respectively, but with a modification on F in low frequency part of functions with a weaker structure related to the maximal function estimate of the Airy operator.

  6. Decay Mode Solutions for Kadomtsev-Petviashvili Equation

    International Nuclear Information System (INIS)

    Fan Guohao; Deng Shufang; Zhang Meng

    2012-01-01

    The decay mode solutions for the Kadomtsev-Petviashvili (KP) equation are derived by Hirota method (direct method). The decay mode solution is a new set of analytical solutions with Airy function. (general)

  7. Observations on the summability of confluent hypergeometric functions and on semiclassical quantum mechanics

    Energy Technology Data Exchange (ETDEWEB)

    Silverstone, H.J.; Nakai, S.; Harris, J.G.

    1985-09-01

    Asymptotic expansions for Airy functions and more generally confluent hypergeometric functions, which are of fundamental importance in semiclassical quantum mechanics, are summable. The Stokes lines of the expansions are cuts of the Borel sums of the power series occurring in the expansions. At a Stokes line on which the function is continuous, the asymptotic expansions change discontinuously, but their composite sums do not: a fact that greatly clarifies the role of the Stokes line. On a Stokes line itself, it is still possible to evaluate the asymptotic expansion by Borel summation via analytic continuation, and as a consequence complex expansions may have real sums, and vice versa. This observation has important implications for the significance and use of asymptotic expansions recently derived for the resonances of the LoSurdo-Stark effect and for the energy eigenvalues of H/sub 2/ /sup +/. For both of these problems the physical values of the expansion parameters, the electric field strength and the reciprocal of the internuclear distance, lie on Stokes lines.

  8. Scattering and the Point Spread Function of the New Generation Space Telescope

    Science.gov (United States)

    Schreur, Julian J.

    1996-01-01

    Preliminary design work on the New Generation Space Telescope (NGST) is currently under way. This telescope is envisioned as a lightweight, deployable Cassegrain reflector with an aperture of 8 meters, and an effective focal length of 80 meters. It is to be folded into a small-diameter package for launch by an Atlas booster, and unfolded in orbit. The primary is to consist of an octagon with a hole at the center, and with eight segments arranged in a flower petal configuration about the octagon. The comers of the petal-shaped segments are to be trimmed so that the package will fit atop the Atlas booster. This mirror, along with its secondary will focus the light from a point source into an image which is spread from a point by diffraction effects, figure errors, and scattering of light from the surface. The distribution of light in the image of a point source is called a point spread function (PSF). The obstruction of the incident light by the secondary mirror and its support structure, the trimmed corners of the petals, and the grooves between the segments all cause the diffraction pattern characterizing an ideal point spread function to be changed, with the trimmed comers causing the rings of the Airy pattern to become broken up, and the linear grooves causing diffraction spikes running radially away from the central spot, or Airy disk. Any figure errors the mirror segments may have, or any errors in aligning the petals with the central octagon will also spread the light out from the ideal point spread function. A point spread function for a mirror the size of the NGST and having an incident wavelength of 900 nm is considered. Most of the light is confined in a circle with a diameter of 0.05 arc seconds. The ring pattern ranges in intensity from 10(exp -2) near the center to 10(exp -6) near the edge of the plotted field, and can be clearly discerned in a log plot of the intensity. The total fraction of the light scattered from this point spread function is called

  9. 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.

  10. Phytochemical screening, total phenolics and antioxidant activities of bark and leaf extracts of Goniothalamus velutinus (Airy Shaw from Brunei Darussalam

    Directory of Open Access Journals (Sweden)

    Erum Iqbal

    2015-07-01

    Full Text Available Goniothalamus velutinus Airy Shaw belongs to the family Annonaceae which is known to have anticancer, antitumor and many other bioactivities. Natives of Sabah and Sarawak use root decoction of G. velutinus for the treatment of headache and food poisoning while the bark was used as a mosquito repellent. Bark and leaf extracts of this plant, obtained from Brunei Darussalam, were tested for phytochemical and antioxidant activities. Phytochemical screening of plant extracts revealed the presence of alkaloids, steroids, terpenoids and cardiac glycosides. Quantitative determination of total phenolics, total flavonoids, and various in vitro antioxidant activities (DPPH, ABTS and FRAP of methanolic extract was carried out using colorimetric methods. The total phenolic content, expressed as mg of gallic acid equivalent (GAE per gram of extract, was found to be 68 mg GAE/g and 78 mg GAE/g for bark and leaves respectively. The radical scavenging activity measurement, expressed in terms of EC50 (effective concentration of extract in μg/mL that reduces DPPH absorbance to 50% as compared to negative control, for leaf and bark extracts was found to be 155 μg/mL and 204 μg/mL respectively. Standards trolox and ascorbic acid show EC50 value of 5 μg/mL and 4 μg/mL respectively. Trolox equivalent antioxidant capacity (TEAC was measured using the ABTS and FRAP method. Result for bark and leaf extracts was 79 mg and 106 mg trolox equivalent (TE/g respectively for the ABTS method. For FRAP assay, results for bark and leaf extracts were 80 and 89 mg TE/g respectively.

  11. President Andrus Aljase ohtlik lend / Paavo Kangur

    Index Scriptorium Estoniae

    Kangur, Paavo, 1966-

    2009-01-01

    Estonian Airi president ja juhatuse esimees Andrus Aljas ettevõtte arengustsenaariumitest ja tegevusplaanidest järgmisteks aastateks. Estonian Airi positsioonist lennuturul. Vt. samas: Andrus Aljas; Fakte; Andrus Aljas: minu tööpäev

  12. Study of the structure of the Hoyle state by refractive α-scattering

    Directory of Open Access Journals (Sweden)

    Goncharov S.A.

    2014-03-01

    Full Text Available α + 12C elastic and inelastic to the Hoyle state (0+2, 7.65 MeV differential cross-sections were measured at the energies 60 and 65 MeV with the aim of testing the microscopic wave function [1] widely used in modern structure calculations of 12C. Deep rainbow (Airy minima were observed in all four curves. The minima in the inelastic angular distributions are shifted to the larger angles relatively those in the elastic ones, which testify the radius enhancement of the Hoyle state. In general, the DWBA calculations failed to reproduce the details of the cross sections in the region of therainbow minima in the inelastic scattering data. However, by using the phenomenological density with rms radius equal 2.9 fm, we can reproduce the Airy minimum positions.

  13. Self-reconstruction of diffraction-free and accelerating laser beams in scattering media

    International Nuclear Information System (INIS)

    Ersoy, T.; Yalizay, B.; Akturk, S.

    2012-01-01

    We experimentally investigate propagation of laser beams with different intensity profiles in highly scattering media. We generate transverse laser amplitude profiles with Gaussian, Bessel and Airy function envelopes. We then propagate these beams through optical phantoms formed with variable density intralipid solutions. At the sample exit, we compare change in maximum intensities, as well as beam profile reconstruction. We show that self-reconstruction properties of Bessel and Airy beams bring about slower decrease in maximum intensity with increasing scatterer density. On the other hand, the beam profiles deteriorate faster, as compared to reference Gaussian beams. Slower decrease in the intensity can be attributed to the wavevector spectra providing a continuous flow of energy to the beam center, while beam deterioration is linked to total beam volume in the scattering medium. These results show that beam shaping methods can significantly enhance delivery of intense light deeper into turbid media, but this enhancement is compromised by stronger speckling of beam profiles. -- Highlights: ► We experimentally investigate propagation of shaped laser beams in turbid media. ► Peak intensity of Bessel and Airy beams decrease slower with increasing scatterer. ► Shaped beam profiles deteriorate faster, as compared to reference Gaussian beams. ► Shaped beam profiles can enhance applications of lasers inscattering media.

  14. determination of stresses caused by infinitely long line loads on ...

    African Journals Online (AJOL)

    user

    2016-10-04

    Oct 4, 2016 ... long line loads on semi-infinite homogeneous elastic soils. Airy's stress functions of the Cartesian coordinates system were used to express the governing equations of plane strain elasticity for a semi-infinite homogeneous soil as a biharmonic problem. The fourth order partial differential equation was then ...

  15. Deformation of two welded elastic half-spaces due to a long inclined ...

    Indian Academy of Sciences (India)

    2Department of Mathematics, University of Delhi South Campus, New Delhi 110 021, India. ∗e-mail: ... Airy stress function for a tensile line source in two welded half-spaces are first obtained. These expressions ... computing the displacement and stress fields around a long inclined tensile fault near an internal boundary. 1.

  16. Force Lines in Plane Stress

    DEFF Research Database (Denmark)

    Rathkjen, Arne

    A state of plane stress is illustrated by means of two families of curves, each family representing constant values of a derivative of Airy's stress function. The two families of curves form a map giving in the first place an overall picture of regions of high and low stress, and in the second...

  17. Direct generation of abruptly focusing vortex beams using a 3/2 radial phase-only pattern.

    Science.gov (United States)

    Davis, Jeffrey A; Cottrell, Don M; Zinn, Jonathan M

    2013-03-20

    Abruptly focusing Airy beams have previously been generated using a radial cubic phase pattern that represents the Fourier transform of the Airy beam. The Fourier transform of this pattern is formed using a system length of 2f, where f is the focal length of the Fourier transform lens. In this work, we directly generate these abruptly focusing Airy beams using a 3/2 radial phase pattern encoded onto a liquid crystal display. The resulting optical system is much shorter. In addition, we can easily produce vortex patterns at the focal point of these beams. Experimental results match theoretical predictions.

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

    OpenAIRE

    Childs, S. J.; Reddy, B. D.

    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.

  19. Journal of Earth System Science | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Airy stress function is used to derive the expressions of stresses and displacements which depend on the dip angle and depth of the upper edge of the fault. The effect of dip angle and depth of the upper edge of the fault on stresses and displacements is studied numerically and the results obtained are presented graphically ...

  20. Благодаря лекциям одной минуты наука стала ближе / Айри Илиссон-Круз ; интервьюировала Ада Мальцева

    Index Scriptorium Estoniae

    Илиссон-Круз, Айри, 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

  1. The discrete Painleve II equations: Miura and auto-Baecklund transformations

    International Nuclear Information System (INIS)

    Carstea, A S; Ramani, A; Willox, R; Grammaticos, B

    2003-01-01

    We present Miura transformations for all discrete Painleve II equations known to date. We then use these Miuras to derive special solutions in terms of discrete Airy functions and to construct auto-Baecklund transformations for the discrete Painleve equations. These transformations are then used to generate rational solutions. Some new forms of d-P II and d-P 34 are obtained as well

  2. Porters, watchmen, and the crime of William Sayers: the non-scientific staff of the Royal Observatory, Greenwich, in Victorian times

    Science.gov (United States)

    Chapman, Allan

    2003-06-01

    A careful study of the detailed archives of the Victorian Royal Observatory makes it possible to build up a picture of the employment and working conditions not only of the astronomical staff who worked at Greenwich, but also of the labourers, watchmen, and gate porters. Indeed, the archives open up a window on to how the Observatory was run on a daily basis: how its non-scientific staff were recruited and paid, and what were their terms of employment. They also say a great deal about how Sir George Biddell Airy directed and controlled every aspect of the Observatory's life. Yet while Airy was a strict employer, he emerges as a man who was undoubtedly fair-minded and sometimes even generous to his non-scientific work-force. A study of the Observatory staff files also reveals the relationship between the Observatory labouring staff and the Airy family's domestic servants. And of especial interest is the robbery committed by William Sayers, the Airy family footman in 1868, bringing to light as it does Sir George and Lady Richarda Airy's views on crime and its social causes and consequences, the prison rehabilitation service in 1868, and their opinions on the reform of offenders. Though this paper is not about astronomy as such, it illuminates a fascinating interface where the world of astronomical science met and worked alongside the world of ordinary Victorian people within the walls of one of the nineteenth century's most illustrious astronomical institutions.

  3. Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics

    Directory of Open Access Journals (Sweden)

    Dang Quang A

    2013-02-01

    Full Text Available In this paper we consider a mixed boundary value problem for biharmonic equation of the Airy stress function which models a crack problem of a solid elastic plate. An iterative method for reducing the problem to a sequence of mixed problems for Poisson equations is proposed and investigated. The convergence of the method is established theoretically and illustrated on many numerical experiments.

  4. Chromatic Dimensions Earthy, Watery, Airy, and Fiery.

    Science.gov (United States)

    Albertazzi, Liliana; Koenderink, Jan J; van Doorn, Andrea

    2015-01-01

    In our study, for a small number of antonyms, we investigate whether they are cross-modally or ideaesthetically related to the space of colors. We analyze the affinities of seven antonyms (cold-hot, dull-radiant, dead-vivid, soft-hard, transparent-chalky, dry-wet, and acid-treacly) and their intermediate connotations (cool-warm, matt-shiny, numb-lively, mellow-firm, semi-transparent-opaque, semi-dry-moist, and sour-sweet) as a function of color. We find that some antonyms relate to chromatic dimensions, others to achromatic ones. The cold-hot antonym proves to be the most salient dimension. The dry-wet dimension coincides with the cold-hot dimension, with dry corresponding to hot and wet to cold. The acid-treacly dimension proves to be transversal to the cold-hot dimension; hence, the pairs mutually span the chromatic domain. The cold-hot and acid-treacly antonyms perhaps recall Hering's opponent color system. The dull-radiant, transparent-chalky, and dead-vivid pairs depend little upon chromaticity. Of all seven antonyms, only the soft-hard one turns out to be independent of the chromatic structure. © The Author(s) 2015.

  5. ‘And Somewhere the Dove Rose’: Seamus Heaney y su Fase Aérea en la Crítica Literaria

    Directory of Open Access Journals (Sweden)

    Juan Ráez-Padilla

    2007-03-01

    Full Text Available This article concentrates on the different analyses made by critics regarding the beginning of the so-called airy phase in Seamus Heaney’s oeuvre. In contrast with the generalized critical acceptance of a new airy, visionary, escapist phase, which follows a first earthy, sensorial, more politically committed phase, the main objective of this article is to show the outstanding critical disagreement over the collection/s which introduce/s this poetic shift and, consequently, the fragility of such critical hypothesis. After providing evidence on this discrepancy among critics and claiming our own disagreement with this airy phase, we offer a re-examination of Heaney’s poetic evolution which detaches itself from the binary opposition earth vs. air in favour of emphasizing tension and balance between both of them  –as in many other Heaneyian dualities–  all throughout his literary career.

  6. Stokes line width

    International Nuclear Information System (INIS)

    Nikiskov, A.I.; Ritus, V.I.

    1993-01-01

    The concept of Stokes line width is introduced for the asymptotic expansions of functions near an essential singularity. Explicit expressions are found for functions (switching functions) that switch on the exponentially small terms for the Dawson integral, Airy function, and the gamma function. A different, more natural representation of a function, not associated with expansion in an asymptotic series, in the form of dominant and recessive terms is obtained by a special division of the contour integral which represents the function into contributions of higher and lower saddle points. This division leads to a narrower, natural Stokes line width and a switching function of an argument that depends on the topology of the lines of steepest descent from the saddle point

  7. Distribution of 14C photoassimilated in function of nightly temperature and of the gibberellic acid application during the antese, in two tomatoes' cultivars

    International Nuclear Information System (INIS)

    Pilatti, R.A.

    1981-01-01

    The effects of the nightly temperature of the airy part, as well as the gibberelic acid application in the leave and in the plant inflorescence, in the distribution of the 14 C photo assimilated in two tomato cultivars are studied: one of them with determined habit (Marmande) and the other one with indeterminated habit (Platense), five days after the 'antese' of the first flowers of the first racime's flower. The radicular temperature was stable day and night in 18 0 C. (L.M.J.) [pt

  8. Controlling abruptly autofocusing vortex beams to mitigate crosstalk and vortex splitting in free-space optical communication.

    Science.gov (United States)

    Yan, Xu; Guo, Lixin; Cheng, Mingjian; Li, Jiangting

    2018-05-14

    Orbital angular momentum (OAM) mode crosstalk induced by atmospheric turbulence is a challenging phenomenon commonly occurring in OAM-based free-space optical (FSO) communication. Recent advances have facilitated new practicable methods using abruptly autofocusing light beams for weakening the turbulence effect on the FSO link. In this work, we show that a circular phase-locked Airy vortex beam array (AVBA) with sufficient elements has the inherent ability to form an abruptly autofocusing light beam carrying OAM, and its focusing properties can be controlled on demand by adjusting the topological charge values and locations of these vortices embedded in the array elements. The performance of a tailored Airy vortex beam array (TAVBA) through atmospheric turbulence is numerically studied. In a comparison with the ring Airy vortex beam (RAVB), the results indicate that TAVBA can be a superior light source for effectively reducing the intermodal crosstalk and vortex splitting, thus leading to improvement in the FSO system performance.

  9. Excitation of multipolar surface plasmon resonance in plasmonic nanoparticles by complex accelerating beams

    Science.gov (United States)

    Yang, Yang; Li, Jiafang; Li, Zhi-Yuan; Chen, Yue-Gang

    2015-07-01

    In this paper, through a vector-spherical harmonics approach, we investigate the optical spectra of plasmonic Au nanoparticles excited by two special accelerating beams: a non-paraxial Airy beam and a Bessel beam. We systematically analyze the impacts of the beam profile, phase, and helical wave front of the electromagnetic fields on the optical spectrum and the excitation of the surface plasmon resonance (SPR). We find that the high-order phase in the Airy beam would result in strong plasmonic oscillations in the optical spectra, while the cone angle and orbital angular momentum carried by the Bessel beam could be employed to engineer the plasmon modes excited in Au nanoparticles. Furthermore, the optical spectrum excited by a combined Airy-Bessel-Gauss beam is discussed. The study could help to deeply explore new ways to manipulate SPR in metal nanoparticles via the wave front engineering of optical beams for enhancing light-matter interaction and optical sensing performance.

  10. 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"

  11. Integrated single- and two-photon light sheet microscopy using accelerating beams

    DEFF Research Database (Denmark)

    Piksarv, Peeter; Marti, Dominik; Le, Tuan

    2017-01-01

    We demonstrate the first light sheet microscope using propagation invariant, accelerating Airy beams that operates both in single- and two-photon modes. The use of the Airy beam permits us to develop an ultra compact, high resolution light sheet system without beam scanning. In two-photon mode......, an increase in the field of view over the use of a standard Gaussian beam by a factor of six is demonstrated. This implementation for light sheet microscopy opens up new possibilities across a wide range of biomedical applications, especially for the study of neuronal processes....

  12. Supersonic Combustion of Hydrogen Jets System in Hypersonic Stream

    International Nuclear Information System (INIS)

    Zhapbasbaev, U.K.; Makashev, E.P.

    2003-01-01

    The data of calculated theoretical investigations of diffusive combustion of plane supersonic hydrogen jets in hypersonic stream received with Navier-Stokes parabola equations closed by one-para metrical (k-l) model of turbulence and multiply staged mechanism of hydrogen oxidation are given. Combustion mechanisms depending on the operating parameters are discussing. The influences of air stream composition and ways off fuel feed to the length of ignition delay and level quantity of hydrogen bum-out have been defined. The calculated theoretical results of investigations permit to make the next conclusions: 1. The diffusive combustion of the system of plane supersonic hydrogen jets in hypersonic flow happens in the cellular structures with alternation zones of intensive running of chemical reactions with their inhibition zones. 2. Gas dynamic and heat Mach waves cause a large - scale viscous formation intensifying mixing of fuel with oxidizer. 3. The system ignition of plane supersonic hydrogen jets in hypersonic airy co-flow happens with the formation of normal flame front of hydrogen airy mixture with transition to the diffusive combustion. 4. The presence of active particles in the flow composition initiates the ignition of hydrogen - airy mixture, provides the intensive running of chemical reactions and shortens the length of ignition delay. 5. The supersonic combustion of hydrogel-airy mixture is characterized by two zones: the intensive chemical reactions with an active energy heat release is occurring in the first zone and in the second - a slow hydrogen combustion limited by the mixing of fuel with oxidizer. (author)

  13. Characteristic Polynomials of Sample Covariance Matrices: The Non-Square Case

    OpenAIRE

    Kösters, Holger

    2009-01-01

    We consider the sample covariance matrices of large data matrices which have i.i.d. complex matrix entries and which are non-square in the sense that the difference between the number of rows and the number of columns tends to infinity. We show that the second-order correlation function of the characteristic polynomial of the sample covariance matrix is asymptotically given by the sine kernel in the bulk of the spectrum and by the Airy kernel at the edge of the spectrum. Similar results are g...

  14. Exact analysis of two kinds of piezoelectric actuator

    International Nuclear Information System (INIS)

    Han Rong; Shi Zhifei

    2008-01-01

    Two kinds of piezoelectric hollow cylinder actuator are studied in this paper. One is the expansion actuator and the other is the contraction actuator. Using the Airy stress function method, the analytical solutions of these two kinds of actuators are obtained based on the theory of piezo-elasticity. The solutions are compared with numerical results and good agreement is found. Inherent properties of these two kinds of piezoelectric cylinder actuator are presented and discussed. Findings have applications in the field of micromechanics and microengineering

  15. Impurity States and diamagnetic susceptibility of a donor in a triangular quantum well

    Science.gov (United States)

    Kalpana, P.; Reuben, A. Merwyn Jasper D.; Nithiananthi, P.; Jayakumar, K.

    2017-05-01

    We have calculated the binding energy and the diamagnetic susceptibility(χdia) of the ground (1s) and few low lying excited states (2s and 2p±) in a GaAs/AlxGa1-xAs Triangular Quantum Well (TQW) for the Al composition of x = 0.3. Since the estimation of gives the carrier localization in nanostructured systems and also the calculation of (χdia) involves the , the same has also been estimated as a function of well width. The Schrodinger equation has been solved using variational technique involving Airy functions in the effective mass approximation. The results are presented and discussed.

  16. Quantum scattering via the discretisation of Schroedinger's equation

    Energy Technology Data Exchange (ETDEWEB)

    Alexopoulos, A. [Electronic Warfare and Radar Division, Defence Science and Technology Organisation (DSTO), PO Box 1500, Edinburgh 5111 (Australia)]. E-mail: aris.alexopoulos@dsto.defence.gov.au

    2007-03-19

    We obtain the scattering matrix for particles that encounter a quantum potential by discretising Schroedinger's time independent differential equation without the need to resort to the manipulation of the eigenfunctions directly. The singularities that arise in some solutions by other methods are handled with ease including the effects of resonances while convergence is excellent in all limits with only a small number of orders required to give accurate results. Our method compares the tunnelling probability with that of the WKB theory, exact numerical solutions and the modified Airy function method.

  17. General Series Solutions for Stresses and Displacements in an Inner-fixed Ring

    Science.gov (United States)

    Jiao, Yongshu; Liu, Shuo; Qi, Dexuan

    2018-03-01

    The general series solution approach is provided to get the stress and displacement fields in the inner-fixed ring. After choosing an Airy stress function in series form, stresses are expressed by infinite coefficients. Displacements are obtained by integrating the geometric equations. For an inner-fixed ring, the arbitrary loads acting on outer edge are extended into two sets of Fourier series. The zero displacement boundary conditions on inner surface are utilized. Then the stress (and displacement) coefficients are expressed by loading coefficients. A numerical example shows the validity of this approach.

  18. Looduslikult kestliku ja inimlähedase elu otsingud / Martin Mölder

    Index Scriptorium Estoniae

    Mölder, Martin, 1983-

    2011-01-01

    Raamatuarvustus: Ökokogukonnad retoorikas ja praktikas : elustiilide uurimused / toimetanud Airi-Alina Allaste. Tallinn : Tallinna Ülikooli Kirjastus, 2011. (Acta Universitatis Tallinnensis. Socialia)

  19. Instanton effects in ABJM theory from Fermi gas approach

    Energy Technology Data Exchange (ETDEWEB)

    Hatsuda, Yasuyuki [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). Gruppe Theorie; Tokyo Institute of Technology (Japan). Dept. of Physics; Moriyama, Sanefumi [Nagoya Univ. (Japan). Kobayashi Maskawa Inst.; Nagoya Univ. (Japan). Graduate School of Mathematics; Okuyama, Kazumi [Shinshu Univ., Matsumoto, Nagano (Japan). Dept. of Physics

    2012-11-19

    We study the instanton effects of the ABJM partition function using the Fermi gas formalism. We compute the exact values of the partition function at the Chern-Simons levels k=1, 2, 3, 4, 6 up to N=44, 20, 18, 16, 14 respectively, and extract non-perturbative corrections from these exact results. Fitting the resulting non-perturbative corrections by their expected forms from the Fermi gas, we determine unknown parameters in them. After separating the oscillating behavior of the grand potential, which originates in the periodicity of the grand partition function, and the worldsheet instanton contribution, which is computed from the topological string theory, we succeed in proposing an analytical expression for the leading D2-instanton correction. Just as the perturbative result, the instanton corrections to the partition function are expressed in terms of the Airy function.

  20. 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

  1. AIRIS Wide Area Detection System

    Science.gov (United States)

    2003-07-01

    herbicola, the chemical stimulant SF6, as well as the interferents kaolin clay dust, Dugway road dust, and diesel soot. In this paper we will report on...the SF6 column density of approximately 200 ppmv-m. In future work we hope to correlate this measurement with a Gaussian plume dispersion model of

  2. Estonian Air lõpetab Pariisi ja Vilniuse lennud / Hindrek Riikoja

    Index Scriptorium Estoniae

    Riikoja, Hindrek

    2005-01-01

    Talvisele lennuplaanile üleminev Estonian Air lõpetab otselennud Tallinnast Vilniusesse ja Pariisi. Estonian Airi presidendi Borge Thornbechi sõnul kavatseb firma suurendada talvehooajal turismilendude mahtu

  3. Automatic Fourier transform and self-Fourier beams due to parabolic potential

    Energy Technology Data Exchange (ETDEWEB)

    Zhang, Yiqi, E-mail: zhangyiqi@mail.xjtu.edu.cn [Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049 (China); Liu, Xing [Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049 (China); Belić, Milivoj R., E-mail: milivoj.belic@qatar.tamu.edu [Science Program, Texas A& M University at Qatar, P.O. Box 23874 Doha (Qatar); Zhong, Weiping [Department of Electronic and Information Engineering, Shunde Polytechnic, Shunde 528300 (China); Petrović, Milan S. [Institute of Physics, P.O. Box 68, 11001 Belgrade (Serbia); Zhang, Yanpeng, E-mail: ypzhang@mail.xjtu.edu.cn [Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049 (China)

    2015-12-15

    We investigate the propagation of light beams including Hermite–Gauss, Bessel–Gauss and finite energy Airy beams in a linear medium with parabolic potential. Expectedly, the beams undergo oscillation during propagation, but quite unexpectedly they also perform automatic Fourier transform, that is, periodic change from the beam to its Fourier transform and back. In addition to oscillation, the finite-energy Airy beams exhibit periodic inversion during propagation. The oscillating period of parity-asymmetric beams is twice that of the parity-symmetric beams. Based on the propagation in parabolic potential, we introduce a class of optically-interesting beams that are self-Fourier beams—that is, the beams whose Fourier transforms are the beams themselves.

  4. The ABCD of topological recursion

    DEFF Research Database (Denmark)

    Andersen, Jorgen Ellegaard; Borot, Gaëtan; Chekhov, Leonid O.

    Kontsevich and Soibelman reformulated and slightly generalised the topological recursion of math-ph/0702045, seeing it as a quantization of certain quadratic Lagrangians in T*V for some vector space V. KS topological recursion is a procedure which takes as initial data a quantum Airy structure...... the 2d TQFT partition function as a special case), non-commutative Frobenius algebras, loop spaces of Frobenius algebras and a Z2-invariant version of the latter. This Z2-invariant version in the case of a semi-simple Frobenius algebra corresponds to the topological recursion of math-ph/0702045....

  5. Umbral Vade Mecum

    Directory of Open Access Journals (Sweden)

    Thomas L Curtright

    2013-10-01

    Full Text Available In recent years the umbral calculus has emerged from the shadows to provide an elegant correspondence framework that automatically gives systematic solutions of ubiquitous difference equations --- discretized versions of the differential cornerstones appearing in most areas of physics and engineering --- as maps of well-known continuous functions. This correspondence deftly sidesteps the use of more traditional methods to solve these difference equations. The umbral framework is discussed and illustrated here, with special attention given to umbral counterparts of the Airy, Kummer, and Whittaker equations, and to umbral maps of solitons for the Sine-Gordon, Korteweg--de Vries, and Toda systems.

  6. Globaalsus + lennundus = Star Alliance? / Ain Hinsberg

    Index Scriptorium Estoniae

    Hinsberg, Ain

    2002-01-01

    Erinevad koostöövormid lennufirmade vahel, alliansside teke ja areng maailmas. Maailma juhtivad lennundusalliansid ja nende poolt kaetud riigid ja sihtkohad. Kommenteerib Estonian Airi president Erki Urva

  7. Nafta hinna kõikumine solgutab Euroopa lennufirmade aktsiaid / Annika Matson

    Index Scriptorium Estoniae

    Matson, Annika, 1976-

    2004-01-01

    Nafta hinnatõus langetab lennufirmade aktsiate hindasid. Kommenteerib Estonian Air'i asepresident Leela Lilleorg. Graafikud: Euroopa suuremate lennufirmade aktsiad nafta tõmbetuules; Nafta hind rahvusvahelisel naftabörsil Londonis

  8. On the MAF solution of the uniformly lengthening pendulum via change of independent variable in the Bessel’s equation

    Directory of Open Access Journals (Sweden)

    Coşkun Deniz

    Full Text Available Common recipe for the Lengthening Pendulum (LP involves some change of variables to give a relationship with the Bessel’s equation. In this work, semiclassical MAF (Modified Airy Function solution of the LP is being obtained by first transforming the related Bessel’s equation into the normal form via the suggested change of independent variable just as one of our recent work regarding the JWKB solution of the LP in (Deniz, 2017. MAF approximation of the first order Bessel Functions (ν = 1 of both type along with their zeros are being obtained analytically with a very good accuracy as a result of the appropriately chosen associated initial values and they are extended to the neighbouring orders (ν = 0 and 2 by the recursion relations. Although common numerical methods given in the literature require adiabatic LP systems where the lengthening rate is small, MAF solution presented here can safely be used for higher lengthening rates and a criterion for its validity is determined via the use of MAF applicability criterion given in the literature. As a result, the semiclassical MAF method which is normally used for the quantum mechanical and optical waveguide systems is applied to the classical LP system successfully just as our previous work regarding the JWKB solution of the LP. Interestingly, we have very accurate results in the entire domain except for x≈0. PACS: 02.30.Hq, 02.30.Mv, 03.65.Sq, 03.65.-w, 45.05.+x, 45.10.-b, Keywords: Method of Modified Airy Function (MAF, Semiclassical approximation, Linear differential equations, Initial value problems, The lengthening pendulum

  9. On the Mass Distribution of Animal Species

    Science.gov (United States)

    Redner, Sidney; Clauset, Aaron; Schwab, David

    2009-03-01

    We develop a simple diffusion-reaction model to account for the broad and asymmetric distribution of adult body masses for species within related taxonomic groups. The model assumes three basic evolutionary features that control body mass: (i) a fixed lower limit that is set by metabolic constraints, (ii) a species extinction risk that is a weakly increasing function of body mass, and (iii) cladogenetic diffusion, in which daughter species have a slight tendency toward larger mass. The steady-state solution for the distribution of species masses in this model can be expressed in terms of the Airy function. This solution gives mass distributions that are in good agreement with data on 4002 terrestrial mammal species from the late Quaternary and 8617 extant bird species.

  10. Quantum and classical aspects of deformed c = 1 strings

    International Nuclear Information System (INIS)

    Nakatsu, T.; Tsujimaru, S.; Takasaki, K.

    1995-01-01

    The quantum and classical aspects of a deformed c=1 matrix model proposed by Jevicki and Yoneya are studied. String equations are formulated in the framework of the Toda lattice hierarchy. The Whittaker functions now play the role of generalized Airy functions in c<1 strings. This matrix model has two distinct parameters. Identification of the string coupling constant is thereby not unique, and leads to several different perturbative interpretations of this model as a string theory. Two such possible interpretations are examined. In both cases, the classical limit of the string equations, which turns out to give a formal solution of Polchinski's scattering equations, shows that the classical scattering amplitudes of massless tachyons are insensitive to deformations of the parameters in the matrix model. (author)

  11. Spectral properties of the massless relativistic quartic oscillator

    Science.gov (United States)

    Durugo, Samuel O.; Lőrinczi, József

    2018-03-01

    An explicit solution of the spectral problem of the non-local Schrödinger operator obtained as the sum of the square root of the Laplacian and a quartic potential in one dimension is presented. The eigenvalues are obtained as zeroes of special functions related to the fourth order Airy function, and closed formulae for the Fourier transform of the eigenfunctions are derived. These representations allow to derive further spectral properties such as estimates of spectral gaps, heat trace and the asymptotic distribution of eigenvalues, as well as a detailed analysis of the eigenfunctions. A subtle spectral effect is observed which manifests in an exponentially tight approximation of the spectrum by the zeroes of the dominating term in the Fourier representation of the eigenfunctions and its derivative.

  12. Ettevalmistus noortebiennaaliks Pärnus / Heie Treier

    Index Scriptorium Estoniae

    Treier, Heie, 1963-

    2007-01-01

    Ideest korraldada 2007. aasta sügisel Tallinnas esimene noorte kunstnike biennaal, mille toimkonda juhivad Rael Artel ning Airi Triisberg. Pärnus toimunud üritusest "Public preparation. Exercises on Adhocracy"

  13. Estonian Air valmistub odavate piletitega EasyJeti tulekuks / Erkki Erilaid

    Index Scriptorium Estoniae

    Erilaid, Erkki

    2004-01-01

    Estonian Air pidi langetama piletihindu Berliini ja Londoni liinil kolmandiku võrra, kuna oktoobri lõpust hakkab Tallinna lennujaamast reise tegema uus odavlennufirma Easy-Jet. Lisa: Estonian Airi hinnad internetis

  14. Avatud arhiiv / Ketli Tiitsar

    Index Scriptorium Estoniae

    Tiitsar, Ketli

    2005-01-01

    Näitus "Arhiiv. Tarbekunstimuuseumi näitused 1982-2004" Eesti Tarbekunsti- ja Disainimuuseumis kuni 15. I 2006. Näituse on koostanud Merike Alber, Kai Lobjakas, Airi Ligi, Anne Tiivel, kujundanud Ketli Tiitsar

  15. Tõeliselt edukas on üksnes see juht, kes eraäri proovinud / Leela Lilleorg ; interv. Taivo Paju

    Index Scriptorium Estoniae

    Lilleorg, Leela

    2007-01-01

    Kümme aastat Estonian Airi arengus osalenud ning asepresidendiks jõudnud ja 2005. aastast lennufirmadele esindusteenust pakkuva firma Airline Management asutaja Leela Lilleorg oma töökogemustest. Vt. samas: Leela Lilleorg

  16. Aqua AIRS L2 Cloud-Cleared Infrared Radiances (AIRS+AMSU+HSB) V006

    Data.gov (United States)

    National Aeronautics and Space Administration — This product is similar to AIRI2CCF. However, it contains science retrievals that use the Humidity Sounder for Brazil (HSB). Because the HSB instrument lived only...

  17. Analytical extraction of leaky modes in circular slab waveguides with arbitrary refractive index profile.

    Science.gov (United States)

    Sarrafi, P; Zareian, N; Mehrany, K

    2007-12-20

    Circular slab waveguides are conformally transformed into straight inhomogeneous waveguides, whereupon electromagnetic fields in the core are expanded in terms of Legendre polynomial basis functions. Thereafter, different analytical expression of electromagnetic fields in the cladding region, viz. Wentzel-Kramers-Brillouin solution, modified Airy function expansion, and the exact field solution for circular waveguides, i.e., Hankel function of complex order, are each matched to the polynomial expansion of the transverse electric field within the guide. This field matching process renders different boundary conditions to be satisfied by the set of orthogonal Legendre polynomial basis functions. In this fashion, the governing wave equation is converted into an algebraic and easy to solve eigenvalue problem, which is associated with a matrix whose elements are analytically given. Various numerical examples are presented and the accuracy of each of the abovementioned different boundary conditions is assessed. Furthermore, the computational efficiency and the convergence rate of the proposed method with increasing number of basis functions are briefly discussed.

  18. AIRS/Aqua Level 2 Cloud-cleared infrared radiances (AIRS-only) V005

    Data.gov (United States)

    National Aeronautics and Space Administration — This product is similar to AIRI2CCF. It is newest products produced using AIRS IR only because the radiometric noise in AMSU channel 4 started to increase...

  19. Design of self-supporting surfaces

    KAUST Repository

    Vouga, Etienne; Hö binger, Mathias; Wallner, Johannes; Pottmann, Helmut

    2012-01-01

    us to close connections between diverse topics in discrete differential geometry, such as a finite-element discretization of the Airy stress potential, perfect graph Laplacians, and computing admissible loads via curvatures of polyhedral surfaces

  20. Aqua AIRS Level 2 Cloud-Cleared Infrared Radiances (AIRS-only) V006

    Data.gov (United States)

    National Aeronautics and Space Administration — This product is similar to AIRI2CCF. It is newest products produced using AIRS IR only because the radiometric noise in AMSU channel 4 started to increase...

  1. Maailmaparandamine vajab veel harjutamist / Maarin Ektermann

    Index Scriptorium Estoniae

    Ektermann, Maarin, 1983-

    2007-01-01

    Sügisel 2007 Tallinnas toimuva Noorte Kunstnike Biennaali ettevalmistusprogrammist "Public Preparation. Exercises on Adhocracy". Juulis Pärnus toimunud suvelaager keskendus omaalgatuslikule initsiatiivile tänapäevases kunstis. Korraldajad Airi Triisberg ja Rael Artel

  2. Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality

    Science.gov (United States)

    Osada, Hirofumi; Osada, Shota

    2018-01-01

    We prove tail triviality of determinantal point processes μ on continuous spaces. Tail triviality has been proved for such processes only on discrete spaces, and hence we have generalized the result to continuous spaces. To do this, we construct tree representations, that is, discrete approximations of determinantal point processes enjoying a determinantal structure. There are many interesting examples of determinantal point processes on continuous spaces such as zero points of the hyperbolic Gaussian analytic function with Bergman kernel, and the thermodynamic limit of eigenvalues of Gaussian random matrices for Sine_2 , Airy_2 , Bessel_2 , and Ginibre point processes. Our main theorem proves all these point processes are tail trivial.

  3. Transient thermal stresses in an orthotropic finite rectangular plate due to arbitrary surface heat-generations

    International Nuclear Information System (INIS)

    Sugano, Y.

    1980-01-01

    The transient thermal stresses in an orthotropic finite rectangular plate due to arbitrary surface heat-generations on two edges are studied by means of the Airy stress function. The purposes of this paper are to present a method of determing the transient thermal stresses in an orthographic rectangular plate with four edges of distinct thermal boundary condition of the third kind which exactly satisfy the traction-free conditions of shear stress over all boundaries including four corners of the plate, and to consider the effects of the anisotropies of material properties and the convective heat transfer on the upper and lower surfaces on the thermal stress distribution. (orig.)

  4. Transmittance and Tunneling Current through a Trapezoidal Barrier under Spin Polarization Consideration

    Science.gov (United States)

    Noor, F. A.; Nabila, E.; Mardianti, H.; Ariani, T. I.; Khairurrijal

    2018-04-01

    The transmittance and tunneling current in heterostructures under spin polarization consideration were studied by employing a zinc-blended structure for the heterostructures. An electron tunnels through a potential barrier by applying a bias voltage to the barrier, which is called the trapezoidal potential barrier. In order to study the transmittance, an Airy wave function approach was employed to find the transmittance. The obtained transmittance was then utilized to compute the tunneling current by using a Gauss quadrature method. It was shown that the transmittances were asymmetric with the incident angle of the electron. It was also shown that the tunneling currents increased as the bias voltage increased.

  5. A compact two photon light sheet microscope for applications in neuroscience

    DEFF Research Database (Denmark)

    Piksarv, Peeter; Marti, Dominik; Le, Tuan

    2016-01-01

    We present a compact setup for two photon light sheet microscopy. By using pulsed Airy beam illumination we demonstrate eight-fold increase of the FOV compared to Gaussian light sheet with the same axial resolution....

  6. Vaimse tervise ümarlaud - ühisüritus vaimse tervise heaks / Lauraliisa Heidmets, Merike Sisask

    Index Scriptorium Estoniae

    Heidmets, Lauraliisa

    2009-01-01

    Ülevaade Eesti-Rootsi Vaimse Tervise ja Suitsidoloogia Instituudi (ERSI), sotsiaalministeeriumi ja Tervise Arengu Instituudi (TAI) korraldatud ümarlauast. Ettekannetega esinesid ka TLÜ sotsioloogia doktorandid Merike Sisask, Jing Wu, Piret Visnapuu ning prof. Airi Värnik

  7. Plaadid / Valner Valme

    Index Scriptorium Estoniae

    Valme, Valner, 1970-

    2002-01-01

    Uutest plaatidest "30 Seconds To Mars", E-Rotic "Sexual Healing", Mandarava & Buchert "Feng Shui", Vanessa Mae "The Best Of", Leann Rimes "Twisted Angel" Xzibit "Man vs Mashine", India. Airie "Voyage To India", Tori Amos "Scarlet Walk"

  8. The Glacial BuzzSaw, Isostasy, and Global Crustal Models

    Science.gov (United States)

    Levander, A.; Oncken, O.; Niu, F.

    2015-12-01

    The glacial buzzsaw hypothesis predicts that maximum elevations in orogens at high latitudes are depressed relative to temperate latitudes, as maximum elevation and hypsography of glaciated orogens are functions of the glacial equilibrium line altitude (ELA) and the modern and last glacial maximum (LGM) snowlines. As a consequence crustal thickness, density, or both must change with increasing latitude to maintain isostatic balance. For Airy compensation crustal thickness should decrease toward polar latitudes, whereas for Pratt compensation crustal densities should increase. For similar convergence rates, higher latitude orogens should have higher grade, and presumably higher density rocks in the crustal column due to more efficient glacial erosion. We have examined a number of global and regional crustal models to see if these predictions appear in the models. Crustal thickness is straightforward to examine, crustal density less so. The different crustal models generally agree with one another, but do show some major differences. We used a standard tectonic classification scheme of the crust for data selection. The globally averaged orogens show crustal thicknesses that decrease toward high latitudes, almost reflecting topography, in both the individual crustal models and the models averaged together. The most convincing is the western hemisphere cordillera, where elevations and crustal thicknesses decrease toward the poles, and also toward lower latitudes (the equatorial minimum is at ~12oN). The elevation differences and Airy prediction of crustal thickness changes are in reasonable agreement in the North American Cordillera, but in South America the observed crustal thickness change is larger than the Airy prediction. The Alpine-Himalayan chain shows similar trends, however the strike of the chain makes interpretation ambiguous. We also examined cratons with ice sheets during the last glacial period to see if continental glaciation also thins the crust toward

  9. 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"

  10. 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

  11. Original Research

    African Journals Online (AJOL)

    home

    2014-03-17

    Mar 17, 2014 ... Measurement of Turbid Body Optical Properties Using Attenuation of Laser. Light Intensity ... Optical properties of scattering media had been extensively .... dot as image, but rather a diffuse circular disc known as. Airy disc ...

  12. Teismeliste vaimne tervis / Virve Liivanõmm

    Index Scriptorium Estoniae

    Liivanõmm, Virve

    2010-01-01

    Tallinna 19 üldhariduskooli osaleb Euroopa Komisjoni tellitud õpilaste vaimse tervise uuringus, mis hõlmab 12 riiki. Projekti koordineerib Rootsi Karolinska instituut koos Eesti-Rootsi vaimse tervise ja suitsidoloogia instituudiga, mida juhib psühhiaatriaprofessor Airi Värnik

  13. Air Baltic: Estonian Air on nurka surutud / Teele Tammeorg

    Index Scriptorium Estoniae

    Tammeorg, Teele

    2010-01-01

    Air Balticu asepresidendi Janis Vanagsi hinnangul on Estonian Air aastaid jätnud tähelepanuta oma peamised turismiturud ning on praegu halvas seisus. Air Baltic on endiselt huvitatud Estonian Airi ostust. Majandus- ja kommunikatsiooniminister Juhan Partsi seisukoht

  14. Ugala juurutab fantasy't / Andreas W ; interv. Margus Kasterpalu

    Index Scriptorium Estoniae

    Andreas W, pseud., 1969-

    1999-01-01

    "Meremaa võlur. Päeva kaldad", näidend Ursula K Le Guini "Meremaa võluri" teemadel,kirjutanud Andreas W ja lavastanud Andres Noormets, kunstnik Silver Vahtre, valguskunstnik Airi Eras, helikujundaja ja videograafik Andreas W. Esietendus Ugalas 29. apr.

  15. Hüvasti, Eesti! ehk Lahkujad seljatavad tulijad / Juhan Haravee

    Index Scriptorium Estoniae

    Haravee, Juhan, 1957-

    2013-01-01

    Eestist väljarände ja välismaal töötamise teemal avaldavad arvamust Tartu Ülikooli rahvastikuteadur Mare Ainsaar, Tallinna Ülikooli sisekommuni­katsiooni spetsialist Airi Ilisson-Cruzi ja EURES Eesti teenusejuht Marta Traks

  16. Kuidas lugeda "Meeste domineerimist"? / Patrick Champagne ; tlk. Marek Tamm

    Index Scriptorium Estoniae

    Champagne, Patrick

    2005-01-01

    Rets. rmt.: Bourdieu, Pierre. Meeste domineerimine. Tallinn, 2005. Kommenteerivad (lk. 12-14) Liina Lukas, Rein Ruutsoo (TLÜ õppejõud), Marina Grišakova, Aare Pilv, Airi-Alina Allaste, Raivo Vetik (TLÜ Õppejõud), Andres Härm, Voldemar Tomusk

  17. A photoemission moments model using density functional and transfer matrix methods applied to coating layers on surfaces: Theory

    Science.gov (United States)

    Jensen, Kevin L.; Finkenstadt, Daniel; Shabaev, Andrew; Lambrakos, Samuel G.; Moody, Nathan A.; Petillo, John J.; Yamaguchi, Hisato; Liu, Fangze

    2018-01-01

    Recent experimental measurements of a bulk material covered with a small number of graphene layers reported by Yamaguchi et al. [NPJ 2D Mater. Appl. 1, 12 (2017)] (on bialkali) and Liu et al. [Appl. Phys. Lett. 110, 041607 (2017)] (on copper) and the needs of emission models in beam optics codes have lead to substantial changes in a Moments model of photoemission. The changes account for (i) a barrier profile and density of states factor based on density functional theory (DFT) evaluations, (ii) a Drude-Lorentz model of the optical constants and laser penetration depth, and (iii) a transmission probability evaluated by an Airy Transfer Matrix Approach. Importantly, the DFT results lead to a surface barrier profile of a shape similar to both resonant barriers and reflectionless wells: the associated quantum mechanical transmission probabilities are shown to be comparable to those recently required to enable the Moments (and Three Step) model to match experimental data but for reasons very different than the assumption by conventional wisdom that a barrier is responsible. The substantial modifications of the Moments model components, motivated by computational materials methods, are developed. The results prepare the Moments model for use in treating heterostructures and discrete energy level systems (e.g., quantum dots) proposed for decoupling the opposing metrics of performance that undermine the performance of advanced light sources like the x-ray Free Electron Laser. The consequences of the modified components on quantum yield, emittance, and emission models needed by beam optics codes are discussed.

  18. Pärnus taas kuldne svingiajastu

    Index Scriptorium Estoniae

    2008-01-01

    19. ja 26. dets. esinevad Pärnus Café Grandis Pärnu linnaorkestri muusikutest koosnev bigbänd Swingkompanii G7 ja Airi Allvee, kõlavad Glenn Milleri, Duke Ellingtoni, RAimond Valgre jt lood (arranzheeringud on Olev Söödilt)

  19. Minimal analytical model for undular tidal bore profile; quantum and Hawking effect analogies

    Science.gov (United States)

    Berry, M. V.

    2018-05-01

    Waves travelling up-river, driven by high tides, often consist of a smooth front followed by a series of undulations. A simple approximate theory gives the rigidly travelling profile of such ‘undular hydraulic jumps’, up to scaling, as the integral of the Airy function; applying self-consistency fixes the scaling. The theory combines the standard hydraulic jump with ideas borrowed from quantum physics: Hamiltonian operators and zero-energy eigenfunctions. There is an analogy between undular bores and the Hawking effect in relativity: both concern waves associated with horizons. ‘Physics is not just Concerning the Nature of Things, but Concerning the Interconnectedness of all the Natures of Things’(Sir Charles Frank, retirement speech 1976).

  20. Pressure exerted by a vesicle on a surface

    International Nuclear Information System (INIS)

    Owczarek, A L; Prellberg, T

    2014-01-01

    Several recent works have considered the pressure exerted on a wall by a model polymer. We extend this consideration to vesicles attached to a wall, and hence include osmotic pressure. We do this by considering a two-dimensional directed model, namely that of area-weighted Dyck paths. Not surprisingly, the pressure exerted by the vesicle on the wall depends on the osmotic pressure inside, especially its sign. Here, we discuss the scaling of this pressure in the different regimes, paying particular attention to the crossover between positive and negative osmotic pressure. In our directed model, there exists an underlying Airy function scaling form, from which we extract the dependence of the bulk pressure on small osmotic pressures. (paper)

  1. A Generalized Technique in Numerical Integration

    Science.gov (United States)

    Safouhi, Hassan

    2018-02-01

    Integration by parts is one of the most popular techniques in the analysis of integrals and is one of the simplest methods to generate asymptotic expansions of integral representations. The product of the technique is usually a divergent series formed from evaluating boundary terms; however, sometimes the remaining integral is also evaluated. Due to the successive differentiation and anti-differentiation required to form the series or the remaining integral, the technique is difficult to apply to problems more complicated than the simplest. In this contribution, we explore a generalized and formalized integration by parts to create equivalent representations to some challenging integrals. As a demonstrative archetype, we examine Bessel integrals, Fresnel integrals and Airy functions.

  2. Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators

    International Nuclear Information System (INIS)

    Eriksson, A M; Midtvedt, D; Croy, A; Isacsson, A

    2013-01-01

    We study circular nanomechanical graphene resonators by means of continuum elasticity theory, treating them as membranes. We derive dynamic equations for the flexural mode amplitudes. Due to the geometrical nonlinearity the mode dynamics can be modeled by coupled Duffing equations. By solving the Airy stress problem we obtain analytic expressions for the eigenfrequencies and nonlinear coefficients as functions of the radius, suspension height, initial tension, back-gate voltage and elastic constants, which we compare with finite element simulations. Using perturbation theory, we show that it is necessary to include the effects of the non-uniform stress distribution for finite deflections. This correctly reproduces the spectrum and frequency tuning of the resonator, including frequency crossings. (paper)

  3. Radial restricted solid-on-solid and etching interface-growth models

    Science.gov (United States)

    Alves, Sidiney G.

    2018-03-01

    An approach to generate radial interfaces is presented. A radial network recursively obtained is used to implement discrete model rules designed originally for the investigation in flat substrates. I used the restricted solid-on-solid and etching models as to test the proposed scheme. The results indicate the Kardar, Parisi, and Zhang conjecture is completely verified leading to a good agreement between the interface radius fluctuation distribution and the Gaussian unitary ensemble. The evolution of the radius agrees well with the generalized conjecture, and the two-point correlation function exhibits also a good agreement with the covariance of the Airy2 process. The approach can be used to investigate radial interfaces evolution for many other classes of universality.

  4. Avant-Garde Ultrafast Laser Writing

    Directory of Open Access Journals (Sweden)

    Kazansky P. G.

    2013-11-01

    Full Text Available Ultrafast laser processing of transparent materials reveals new phenomena. Reviewed, are recent demonstrations of 5D optical memory, vortex polarization and Airy beam converters employing self-assembled nanostructuring, ultrafast laser calligraphy and polarization writing control using pulses with tilted front.

  5. Meremaa võluriga päeva kallastele / Helle Leppik

    Index Scriptorium Estoniae

    Leppik, Helle

    1999-01-01

    29. apr. esietendub Ugalas "Meremaa võlur. Päeva kaldad", lavalugu Ursula K. Le Guini Meremaa-lugude alusel, lavastaja Andres Noormets, kunstnikud Silver Vahtre ja Airi Eras, peaosades Margus Vaher, Martin Algus, Aarne Soro, Leila Säälik, Gert Raudsepp, Silvia Sarrap

  6. Eduka ettevõtte aluseks saab olla vaid looming / Ave Schmidt

    Index Scriptorium Estoniae

    Schmidt, Ave

    2010-01-01

    Tänapäeva ettevõttele tagavad konkurentsieelise inspiratsioon ja originaalsed ideed. Arvamust avaldavad Tallinna kohviku Nop asutaja Margit Aasmäe, Estonian Airi arendusdirektor Gunnar Mägi, Tallinna Kaubamaja müügi- ja turundusdirektor Enn Parel ja Balteco disainijuht Aivar Habakukk

  7. Butterfly Optics Exceed the Theoretical Limits of Conventional Apposition Eyes

    NARCIS (Netherlands)

    Hateren, J.H. van; Nilsson, D.-E.

    1987-01-01

    Optical experiments on butterfly compound eyes show that they have angular sensitivities narrower than expected from conventional apposition eyes. This superior performance is explained by a theoretical model where the cone stalk is considered as a modecoupling device. In this model the Airy

  8. Laser line shape and spectral density of frequency noise

    International Nuclear Information System (INIS)

    Stephan, G.M.; Blin, S.; Besnard, P.; Tam, T.T.; Tetu, M.

    2005-01-01

    Published experimental results show that single-mode laser light is characterized in the microwave range by a frequency noise which essentially includes a white part and a 1/f (flicker) part. We theoretically show that the spectral density (the line shape) which is compatible with these results is a Voigt profile whose Lorentzian part or homogeneous component is linked to the white noise and the Gaussian part to the 1/f noise. We measure semiconductor laser line profiles and verify that they can be fit with Voigt functions. It is also verified that the width of the Lorentzian part varies like 1/P where P is the laser power while the width of the Gaussian part is more of a constant. Finally, we theoretically show from first principles that laser line shapes are also described by Voigt functions where the Lorentzian part is the laser Airy function and the Gaussian part originates from population noise

  9. Joakim Helenius: Estonian Air võtku eeskuju airBalticust / Siim Sultson

    Index Scriptorium Estoniae

    Sultson, Siim

    2010-01-01

    Estonian Airi ühe võimaliku nõukogu esimehe Jaokim Heleniuse hinnangul on väikeste lennufirmade, nagu Estonian Air ja airBaltic jaoks päris palju tegutsemisruumi. Estonian Airil tuleb leida oma nišš ja kindel, kuid omanäoline strateegia

  10. Enesetapp helesinisel ekraanil / Margit Tõnson

    Index Scriptorium Estoniae

    Tõnson, Margit, 1978-

    2008-01-01

    Telemängudest, televisiooni võimalikust mõjust inimeste vaimsele tervisele, emotsionaalsele heaolule. Telemängust "Tõehetk", mis ka Eestis on vaadatavuse edetabelites esikohal (Kanal 2). Oma arvamuse ütlevad artiklis "Mis sa oskad kosta?" kirjanik Jan Kaus, ajakirjanik Tiina Kaalep ja sotsioloog Airi-Alina Allaste

  11. Between the city and the rural

    DEFF Research Database (Denmark)

    Oldrup, Helene Hjorth

    2010-01-01

    Usually, Danish suburban history is told as a journey towards light, airy, green spaces. However, suburban housing areas can be seen in the context of processes of urbanization, where the boundary between urban and rural is dissolving. What does this mean for residential identities? This article...

  12. 77 FR 8282 - Notice of Determinations Regarding Eligibility To Apply for Worker Adjustment Assistance

    Science.gov (United States)

    2012-02-14

    ... 202(b)(1); (B) An affirmative determination of market disruption or threat thereof under section 421(b... Lumber Company, Colville, WA September 27, 2010. Arden Division. 81,039 HDM Furniture Industries, Mt. Airy, NC April 16, 2011. Inc., Henredon Plant 10, Furniture Brands International, Furniture Brands...

  13. Reflected Brownian motions in the KPZ universality class

    CERN Document Server

    Weiss, Thomas; Spohn, Herbert

    2017-01-01

    This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1. This model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. In fact, because of the singular interaction, many universal properties can be established with rigor. They depend on the choice of initial conditions. Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. A chapter on determinantal random fields and another one on Airy processes are added to have the notes self-contained. These notes serve as an introduction to the KPZ universality class, illustrating the main concepts by means of a single model only. The notes will be of interest to readers from interacting diffusion processe...

  14. Excitation of multipolar surface plasmon resonance in plasmonic nanoparticles by complex accelerating beams

    International Nuclear Information System (INIS)

    Yang, Yang; Li, Jiafang; Li, Zhi-Yuan; Chen, Yue-Gang

    2015-01-01

    In this paper, through a vector-spherical harmonics approach, we investigate the optical spectra of plasmonic Au nanoparticles excited by two special accelerating beams: a non-paraxial Airy beam and a Bessel beam. We systematically analyze the impacts of the beam profile, phase, and helical wave front of the electromagnetic fields on the optical spectrum and the excitation of the surface plasmon resonance (SPR). We find that the high-order phase in the Airy beam would result in strong plasmonic oscillations in the optical spectra, while the cone angle and orbital angular momentum carried by the Bessel beam could be employed to engineer the plasmon modes excited in Au nanoparticles. Furthermore, the optical spectrum excited by a combined Airy–Bessel–Gauss beam is discussed. The study could help to deeply explore new ways to manipulate SPR in metal nanoparticles via the wave front engineering of optical beams for enhancing light–matter interaction and optical sensing performance. (paper)

  15. Kasvatusteaduslike tööde konkursi tulemused / Ulve Kala

    Index Scriptorium Estoniae

    Kala, Ulve, 1947-

    2002-01-01

    Eesti keeles publitseeritud teadustöö preemia anti Aleksander Elangole, Inger Kraavile ja Kristi Kõivule, diplom Ühiskondlikule Pedagoogika Uurimise Instituudile, Viivi Ekstale, Inger Kraavile, Inge Undile, Viivi Maansole. Võõrkeeles publitseeritud teadustöö preemia monograafiale "Integration als Problem in der Erziehungswissenschaft" (koostaja Airi Liimets, autorid Airi Liimets, Saila Anttonen, Gunnar Bergendal, Gerd-Bodo Reinert von Carlsburg, Helmut Wehr, Tiiu Kuurme, Pauli Siljander, Jüri Kruusvall, Sirje Priimägi, Ene-Silvia Sarv, Kristi Kõiv, Meri-Liis Laherand, Jaan Mikk, Hannele Niemi, Marika Veisson, Irina Würscher, Susanne Jena, Tiina Aunin, Reet Liimets, Heli Mattisen, Aivo Saar, Maie Vikat), diplom Aino Saarele ja Katrin Niglasele. Didaktilis-rakenduslike tööde preemia Eda Heinlale, Estelle Laanele ja Kalle Laanele, Tiiu Kadajasele. Populaarteadusliku töö preemia Maie Tuulikule, diplom Kristi Kõivule. H. Liimetsa nim magistritööde preemia Rain Mikserile, Margus Pedastele, Ülle Rannutile, Inger Kraavile, Tago Sarapuule, Martin Ehalale

  16. The dynamics of diffracted rays in foams

    Energy Technology Data Exchange (ETDEWEB)

    Tufaile, A., E-mail: tufaile@usp.br; Tufaile, A.P.B.

    2015-12-18

    We have studied some aspects of the optics of the light scattering in foams. This paper describes the difference between rays and diffracted rays from the point of view of geometrical theory of diffraction. We have represented some bifurcations of light rays using dynamical systems. Based on our observations of foams, we created a solid optical device. The interference patterns of light scattering in foams forming Airy fringes were explored observing the pattern named as the eye of Horus. In the cases we examine, these Airy fringes are associated with light scattering in curved surfaces, while the halo formation is related to the law of edge diffraction. We are proposing a Pohl interferometer using a three-sided bubble/Plateau border system. - Highlights: • We obtained halos scattering light in foams. • We model the light scattering in foams using the geometrical theory of diffraction. • We examine the difference between rays and the diffracted rays. • We developed optical devices for diffracted rays.

  17. Välistudengite eksport üliraske / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2004-01-01

    Tartu Ülikooli, Tallinna Tehnikaülikooli (TTÜ) ja Estonian Business Schooli (EBS) rektorid saatsid haridusministrile kirja, milles soovivad ühtset välistudengite toomise poliitikat. Juhtumist EBS-i õppima tulnud 38 indialasega. Vt. samas: Üliõpilastest peagi puudus; Ausad inimesed on oodatud; Lühiintervjuu TTÜ magistrandi Kota Ramesh Rabuga; Diagramm: Välisüliõpilased Eestis

  18. 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

  19. Lapsesuu või PR-guru? / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2007-01-01

    Justiitsminister Rein Lang on autori hinnangul tuntud oma ootamatute arvamustega. CV. Vt. samas: Skandaal: Kuidas Lang politseid ja allilma seostades tormi tekitas. Kommenteerivad: Hans H. Luik, Hannes Astok, Laine Jänes, Rein Kilk ja Ulvi Kuusk

  20. Alma mater eksponeerib / Kaire Nurk

    Index Scriptorium Estoniae

    Nurk, Kaire, 1960-

    2004-01-01

    Tiit Pääsukese "Maalid" Tartu Ülikooli Y-galeriis 2.-21. III, galeriist (galerist Margus Kiis). Näitus "Põletatud savi - antiigist tänapäevani" TÜ kunstimuuseumis (Berliini Antikensammlungi antiikvaasid, 17 eesti keraamiku antiigiteemalised taiesed) kuni 30. III, kuraatorid Inge Kukk, Airi Ligi, kujundaja Silver Vahtre

  1. Почём охота к перемене мест? / Вера Копти

    Index Scriptorium Estoniae

    Копти, Вера

    2010-01-01

    Estonian Airi reisijate arvu kasvust, odavlennufirmast Ryanair ning teguritest, mis võimaldavad firmal piletihindu madalana hoida. Rahvusvaheline bussifirma AS Lux Express Estonia pakub teenust kahe kaubamärgi all: Lux Express lisateenuseid ja mugavust hindavatele sõitjatele, Simple Express kiiret ja soodsat bussiühendust hindavatele sõitjatele

  2. Rael Artel Gallery Tartus ja Varssavis

    Index Scriptorium Estoniae

    2006-01-01

    Rael Artel Gallery : Non-Profit Project Space'i tegevusest Tartus. 27.04-27.05. 2006 Varssavis Warszawski Aktyw Artystov'i ruumides näitus "Estonian Video Art. The blood project", osalesid Flo Kasearu, Gert Hatsukov, Külli K. Kaats, Allan Tõnissoo, Marko Nautras, Tanja Muravskaja ja Airi Triisberg

  3. Kes keda - valimatult / Koit Brinkmann

    Index Scriptorium Estoniae

    Brinkmann, Koit

    2006-01-01

    Seekordsete presidendivalimiste kampaanias pole vahendeid valitud. Vt. samas: Airi Ilisson. Otsustava lahingu ootel. Kommenteerivad Silmet Grupp ASi juhatuse esimees Tiit Vähi, Koger & Partnerid omanik Andres Koger, Mobi Solutionsi juhatuse liige Linnar Viik, Kalevi suuromanik Oliver Kruuda, Falck Eesti omanik Urmas Sõõrumaa ja ettevõtja Jüri Mõis

  4. Genetic diversity analysis of Nardostachys jatamansi DC, an ...

    African Journals Online (AJOL)

    UM Singh

    2013-05-15

    May 15, 2013 ... and Himachal Pradesh) and critically endangered. (Uttarakhand) plant (Mulliken and Crofton, 2008; Airi et al., 2000). N. jatamansi was assessed to be vulnerable at a CAMP workshop in Nepal in 2001 (Anon, 2001). Due to the high level of threat, Convention on International Trade of Endangered Species ...

  5. Tallinna vanalinna kaitseala 45 ja Helmi Üprus 100 / Jaan Tamm

    Index Scriptorium Estoniae

    Tamm, Jaan, 1948-

    2011-01-01

    Tallinna raekojas 6. sept.-l toimunud konverentsist "Tallinna vanalinna kaitseala 45 ja Helmi Üprus 100", lühidalt ettekannetest. Konverentsi vaheajal näidatud Airi Kasera filmist "Õed Üprused" (ETV, 1988). Mustlas 7. sept. toimunud seminarist "Miljööväärtuslikud alad väikelinnades"

  6. Random skew plane partitions and the Pearcey process

    DEFF Research Database (Denmark)

    Reshetikhin, Nicolai; Okounkov, Andrei

    2007-01-01

    We study random skew 3D partitions weighted by q vol and, specifically, the q → 1 asymptotics of local correlations near various points of the limit shape. We obtain sine-kernel asymptotics for correlations in the bulk of the disordered region, Airy kernel asymptotics near a general point of the ...

  7. Isostatic response of the Laccadive Ridge from admittance analysis of gravity and bathymetry data

    Digital Repository Service at National Institute of Oceanography (India)

    Chaubey, A.K.; Srinivas, K.; Ashalatha, B.; Rao, D.G.

    greater than 0.080 km sup(-1)) fits well with (1) the Airy model whose average crustal thickness (Tc) and density are 17 plus or minus 2 km and 2.7 + 10 sup(3) kg m sup(-3), respectively, and (2) the thin plate flexure model of isostasy with an effective...

  8. Avalikud ettevalmistused... iseseisvaks eluks? / Maria-Kristiina Soomre

    Index Scriptorium Estoniae

    Soomre, Maria-Kristiina, 1978-

    2008-01-01

    2007. a. Tallinnas ilmunud artiklikogumikust "Public preparation" (koostanud Rael Artel ja Airi Triisberg, kujundanud Jaan Evart). Tallinnas Okupatsioonide Muuseumis 21.-23. II toimunud rahvusvahelisest seminarist "Translocal express. Jubilee edition" (korraldajad R. Artel ja A. Triisberg). Loetletud 12 esinejat, Eestist Flo Kasearu, Maria-Kristiina Soomre. Charles Esche, Sezgin Boyniki ja Minna Henrikssoni ettekannetest

  9. Reduction of Placolobium Mig. to Ormosia Jackson (Leg.-Pap.)

    NARCIS (Netherlands)

    Knaap-van Meeuwen, M.S.; Steenis, van C.G.G.J.

    1963-01-01

    At the request of Mr Airy Shaw the type specimen of Placolobium sumatranum Miq. Fl. Ind. Bat. 1, 1 (1855) 1082 has been examined from the Herbarium at Utrecht by kind permission of Prof. Lanjouw. It is very scrappy and consists of a loose rachis and leaflets and unfortunately the fruit valves

  10. Modeling of the fringe shift in multiple beam interference for glass ...

    Indian Academy of Sciences (India)

    A quadratic model is suggested to describe the fringe shift occurred due to the phase variations of uncladded glass fiber introduced between the two plates of the liquid wedge interferometer. The fringe shift of the phase object is represented in the harmonic term which appears in the denominator of the Airy distribution ...

  11. A theoretical study of resonant tunneling characteristics in triangular double-barrier diodes

    International Nuclear Information System (INIS)

    Wang Hongmei; Xu Huaizhe; Zhang Yafei

    2006-01-01

    Resonant tunneling characteristics of triangular double-barrier diodes have been investigated systematically in this Letter, using Airy function approach to solve time-independent Schroedinger function in triangular double-barrier structures. Originally, the exact analytic expressions of quasi-bound levels and quasi-level lifetime in symmetrical triangular double-barrier structures have been derived within the effective-mass approximation as a function of structure parameters including well width, slope width and barrier height. Based on our derived analytic expressions, numerical results show that quasi-bound levels and quasi-level lifetime vary nearly linearly with the structure parameters except that the second quasi-level lifetime changes parabolically with slope width. Furthermore, according to our improved transmission coefficient of triangular double-barrier structures under external electric field, the current densities of triangular double-barrier diodes with different slope width at 0 K have been calculated numerically. The results show that the N-shaped negative differential resistance behaviors have been observed in current-voltage characteristics and current-voltage characteristics depend on the slope width

  12. Controlling the spin-torque efficiency with ferroelectric barriers

    KAUST Repository

    Useinov, A.; Chshiev, M.; Manchon, Aurelien

    2015-01-01

    Nonequilibrium spin-dependent transport in magnetic tunnel junctions comprising a ferroelectric barrier is theoretically investigated. The exact solutions of the free electron Schrödinger equation for electron tunneling in the presence of interfacial screening are obtained by combining Bessel and Airy functions. We demonstrate that the spin transfer torque efficiency, and more generally the bias dependence of tunneling magneto- and electroresistance, can be controlled by switching the ferroelectric polarization of the barrier. In particular, the critical voltage at which the in-plane torque changes sign can be strongly enhanced or reduced depending on the direction of the ferroelectric polarization of the barrier. This effect provides a supplementary way to electrically control the current-driven dynamic states of the magnetization and related magnetic noise in spin transfer devices.

  13. Controlling the spin-torque efficiency with ferroelectric barriers

    KAUST Repository

    Useinov, A.

    2015-02-11

    Nonequilibrium spin-dependent transport in magnetic tunnel junctions comprising a ferroelectric barrier is theoretically investigated. The exact solutions of the free electron Schrödinger equation for electron tunneling in the presence of interfacial screening are obtained by combining Bessel and Airy functions. We demonstrate that the spin transfer torque efficiency, and more generally the bias dependence of tunneling magneto- and electroresistance, can be controlled by switching the ferroelectric polarization of the barrier. In particular, the critical voltage at which the in-plane torque changes sign can be strongly enhanced or reduced depending on the direction of the ferroelectric polarization of the barrier. This effect provides a supplementary way to electrically control the current-driven dynamic states of the magnetization and related magnetic noise in spin transfer devices.

  14. Art form as an object of cognitive modeling (towards development of Vygotsky`s semiotic model)

    Energy Technology Data Exchange (ETDEWEB)

    Dmitriev, V. [Oklahoma State Univ. (United States); Perlovsky, L.I.

    1996-12-31

    We suggest a further development of Vygotsky`s esthetic-semiotic model. First, we discuss Vygotsky`s model originally developed for the analysis of Ivan Bunin`s story {open_quotes}Light Breath{close_quotes}. Vygotsky analyzes formal methods used by Bunin to achieve a specific esthetic effect of {open_quote}lightness{close_quotes} while describing {open_quotes}dirty{close_quotes} events of everyday life. According to Vygotsky, this effect is achieved by ordering of events in a non-linear fashion. Vygotsky creams an airy pattern of smooth lines connecting events of story that he first orders linearly in time. And, he insists that this airy pattern creates an impression of airy lightness. In the language of semiotics, the esthetic effect is created by a specific structural organization of signs. Second, we present our critique of Vygotsky`s model. Although, we do not agree with Vygotsky`s sometimes moralistic judgements, and we consider the dynamics between inner personal values and received moral values to be more complicated than implied in his judgements, our critique in this paper is limited to the structure of his semiotic model. We emphasize that Vygotsky`s model does not explicitly account for a hierarchy of multiple levels of semiotic analysis. His analysis regularly slips from one level to another: (1) a lever of cognitive perception by a regular reader is confused with a level of creative genius of a writer; (2) {open_quotes}open{close_quotes} time of real world is mixed up with {open_quote}closed{close_quote} time of the story; (3) events are not organized by the hierarchy of their importance, nor in real world, nor in the inner model of the personages, nor in the story.

  15. Pramana – Journal of Physics | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    model is suggested to describe the fringe shift which occurs due to the phase variations of cladded glass fibre introduced between the two plates of the liquid wedge interferometer illuminated with a He–Ne laser. The fringe shift of the phase object which appears in the denominator of the Airy distribution formula of the ...

  16. Personal news

    NARCIS (Netherlands)

    NN,

    1950-01-01

    Dr J. Hutchinson retired after 44 years of service in the Royal Botanic Gardens at Kew (May 31, 1948), as Keeper of the Museum. He will devote his time mainly to the writing of some general handbooks especially his Genera Plantarum. He was succeeded by F.N. Howes, D. Sc. Mr H.K. Airy Shaw was

  17. 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

  18. 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

  19. AIRIS Wide Area Detector for Integrated Early Warning

    National Research Council Canada - National Science Library

    Marinelli, William J; Finson, Michael L; Hagge, John; Gittins, Christopher M; Ustun, Teoman E; Chang, Shing; Rossi, David C; Jensen, James O

    2004-01-01

    ...), toxic industrial chemicals (TIC), and biological warfare agent aerosols. This sensor is capable of detecting CWA vapors at levels required of the non-imaging JSLSCAD sensor, as well as many TICs, at their toxicity threshold...

  20. 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

  1. 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

  2. Tuluõhtu Lakewoodis / Airi Vaga ; fotod: Maie Currie

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2005-01-01

    5. novembril 2005. Korraldajaks Lakewoodi Eesti Ühing eesotsas ühingu esimehe Tõnu Vandereriga. Loterii ja annetustega toetati seltsi tegevust, esines sopran Krista Tassa, tähistati ka Herta Talveti sünnipäeva

  3. Rainbows, supernumerary rainbows and interference effects in the angular scattering of chemical reactions: an investigation using Heisenberg's S matrix programme.

    Science.gov (United States)

    Shan, Xiao; Xiahou, Chengkui; Connor, J N L

    2018-01-03

    In earlier research, we have demonstrated that broad "hidden" rainbows can occur in the product differential cross sections (DCSs) of state-to-state chemical reactions. Here we ask the question: can pronounced and localized rainbows, rather than broad hidden ones, occur in reactive DCSs? Further motivation comes from recent measurements by H. Pan and K. Liu, J. Phys. Chem. A, 2016, 120, 6712, of a "bulge" in a reactive DCS, which they conjecture is a rainbow. Our theoretical approach uses a "weak" version of Heisenberg's scattering matrix program (wHSMP) introduced by X. Shan and J. N. L. Connor, Phys. Chem. Chem. Phys., 2011, 13, 8392. This wHSMP uses four general physical principles for chemical reactions to suggest simple parameterized forms for the S matrix; it does not employ a potential energy surface. We use a parameterization in which the modulus of the S matrix is a smooth-step function of the total angular momentum quantum number, J, and (importantly) its phase is a cubic polynomial in J. We demonstrate for a Legendre partial wave series (PWS) the existence of pronounced rainbows, supernumerary rainbows, and other interference effects, in reactive DCSs. We find that reactive rainbows can be more complicated in their structure than the familiar rainbows of elastic scattering. We also analyse the angular scattering using Nearside-Farside (NF) PWS theory and NF PWS Local Angular Momentum (LAM) theory, including resummations of the PWS. In addition, we apply full and NF asymptotic (semiclassical) rainbow theories to the PWS - in particular, the uniform Airy and transitional Airy approximations for the farside scattering. This lets us prove that structure in the DCSs are indeed rainbows, supernumerary rainbows as well as other interference effects.

  4. Venus - Ishtar gravity anomaly

    Science.gov (United States)

    Sjogren, W. L.; Bills, B. G.; Mottinger, N. A.

    1984-01-01

    The gravity anomaly associated with Ishtar Terra on Venus is characterized, comparing line-of-sight acceleration profiles derived by differentiating Pioneer Venus Orbiter Doppler residual profiles with an Airy-compensated topographic model. The results are presented in graphs and maps, confirming the preliminary findings of Phillips et al. (1979). The isostatic compensation depth is found to be 150 + or - 30 km.

  5. Leidos Reclaims Defelice Cup at Annual Golf Tournament | Poster

    Science.gov (United States)

    By Ashley DeVine, Staff Writer Leidos Biomedical Research reclaimed the Defelice Cup trophy from NCI at the eighth annual Ronald H. Defelice golf tournament, held October 14. The final score was 15–7, with Leidos Biomed tying the series 4 to 4. Fourteen players on each team battled it out at Rattlewood golf course in Mount Airy, Md.

  6. Fisher, Sir Ronald Aylmer (1890-1962)

    Science.gov (United States)

    Murdin, P.

    2000-11-01

    Statistician, born in London, England. After studying astronomy using AIRY's manual on the Theory of Errors he became interested in statistics, and laid the foundation of randomization in experimental design, the analysis of variance and the use of data in estimating the properties of the parent population from which it was drawn. Invented the maximum likelihood method for estimating from random ...

  7. Analytic expressions for mode conversion in a plasma with a parabolic density profile: Generalized results

    International Nuclear Information System (INIS)

    Hinkel-Lipsker, D.E.; Fried, B.D.; Morales, G.J.

    1993-01-01

    This study provides an analytic solution to the general problem of mode conversion in an unmagnetized plasma. Specifically, an electromagnetic wave of frequency ω propagating through a plasma with a parabolic density profile of scale length L p is examined. The mode conversion points are located a distance Δ 0 from the peak of the profile, where the electron plasma frequency ω p (z) matches the wave frequency ω. The corresponding reflection, transmission, and mode conversion coefficients are expressed analytically in terms of parabolic cylinder functions for all values of Δ 0 . The method of solution is based on a source approximation technique that is valid when the electromagnetic and electrostatic scale lengths are well separated. For large Δ 0 , i.e., (cL p /ω) 1/2 much-lt Δ 0 p , the appropriately scaled result [D. E. Hinkel-Lipsker et al., Phys. Fluids B 4, 559 (1992)] for a linear density profile is recovered as the parabolic cylinder functions asymptotically become Airy functions. When Δ 0 →0, the special case of conversion at the peak of the profile [D. E. Hinkel-Lipsker et al., Phys. Fluids B 4, 1772 (1992)] is obtained

  8. Quantum reflection in the linearly downward potential

    Science.gov (United States)

    Chamnan, N.; Krunavakarn, B.

    2017-09-01

    In this work, the motion of a particle in one dimension under the influence of the linearly downward potential well is studied within the context of the non-relativistic quantum mechanics. The attention is paid on the paradoxical phenomenon of the reflection of a particle that is in contrast between classical and quantum physics. Classically, the reflection effect occurs only at a potential barrier. To demonstrate such counter-intuitive phenomenon, the Schrödinger equation is solved to obtain the reflection coefficient in the scattering state by considering an incident particle that is represented by a monochromatic plane wave having an energy E > 0, propagates freely from left to right, pass through the potential well. The continuity conditions at boundaries give the desired result that is expressed in terms of the Airy functions which depends on the incident energy E, the strength jV 0 j and the range L of the well. The value of the reflection coefficient R lies in the interval 0 < R < 1, and its behavior is the decreasing function with respect to the range L.

  9. Exact result in strong wave turbulence of thin elastic plates

    Science.gov (United States)

    Düring, Gustavo; Krstulovic, Giorgio

    2018-02-01

    An exact result concerning the energy transfers between nonlinear waves of a thin elastic plate is derived. Following Kolmogorov's original ideas in hydrodynamical turbulence, but applied to the Föppl-von Kármán equation for thin plates, the corresponding Kármán-Howarth-Monin relation and an equivalent of the 4/5 -Kolmogorov's law is derived. A third-order structure function involving increments of the amplitude, velocity, and the Airy stress function of a plate, is proven to be equal to -ɛ ℓ , where ℓ is a length scale in the inertial range at which the increments are evaluated and ɛ the energy dissipation rate. Numerical data confirm this law. In addition, a useful definition of the energy fluxes in Fourier space is introduced and proven numerically to be flat in the inertial range. The exact results derived in this Rapid Communication are valid for both weak and strong wave turbulence. They could be used as a theoretical benchmark of new wave-turbulence theories and to develop further analogies with hydrodynamical turbulence.

  10. Construction of exact solutions for the Stern-Gerlach effect

    International Nuclear Information System (INIS)

    Diaz Bulnes, J.; Oliveira, I.S.

    2001-01-01

    We obtain exact solutions for the Schroedinger-Pauli matrix equation for a neutral particle of spin 1/2 in a magnetic field with a field gradient. The analytical wave functions are written on the symmetry plane Y = 0, which contains the incident and splitted beams, in terms of the Airy functions. The time-evolution of the probability, |Ψ+| 2 and |Ψ-| 2 , and the eigenenergies are calculated. The include a small contribution from the field gradient, α, proportional to (α ℎ) 2/3 , which amount to equal energy displacements on both magnetic levels. The results are generalized for spin S = 3/2, and in this case we found that the m = ±1/2 and m = ±3/2 magnetic sublevels are unequally splitted by the field gradient, being the difference in energy of the order 0.4 MHz. Replacing real experimental parameters we obtained a spatial splitting of the spin up and spin down states of the order Δz ≅4 mm, in accordance to a real Stern-Gerlach experiment. (author)

  11. Diffraction limit of refractive compound lens

    International Nuclear Information System (INIS)

    Kolchevsky, N.N.; Petrov, P.V.

    2015-01-01

    A compound X-ray and neutron lenses is an array of lenses with a common axis. The resolution limited by aberration and by diffraction. Diffraction limit comes from theory based on absorption aperture of the compound refractive lenses. Beam passing through transparent lenses form Airy pattern. Results of calculation of diffraction resolution limit for non-transparent X-ray and neutron lenses are discussed. (authors)

  12. Coastal landforms and processes at the Cape Cod National Seashore, Massachusetts—A primer

    Science.gov (United States)

    Giese, Graham S.; Williams, S. Jeffress; Adams, Mark

    2015-12-17

    Anyone who spends more than a few days on Cape Cod (the Cape) quickly becomes a coastal geologist, quickly learning the rhythms of daily tides and the seasonal cycles of beaches growing and being swept away by storms; swimmers and surfers track how the breakers appear, and dog-walkers notice the hard-packed sand blanketed overnight by an airy layer that leaves deep labored tracks.

  13. Scattering of wave packets with phases

    Energy Technology Data Exchange (ETDEWEB)

    Karlovets, Dmitry V. [Department of Physics, Tomsk State University, Lenina Ave. 36, 634050 Tomsk (Russian Federation)

    2017-03-09

    A general problem of 2→N{sub f} scattering is addressed with all the states being wave packets with arbitrary phases. Depending on these phases, one deals with coherent states in (3+1) D, vortex particles with orbital angular momentum, the Airy beams, and their generalizations. A method is developed in which a number of events represents a functional of the Wigner functions of such states. Using width of a packet σ{sub p}/〈p〉 as a small parameter, the Wigner functions, the number of events, and a cross section are represented as power series in this parameter, the first non-vanishing corrections to their plane-wave expressions are derived, and generalizations for beams are made. Although in this regime the Wigner functions turn out to be everywhere positive, the cross section develops new specifically quantum features, inaccessible in the plane-wave approximation. Among them is dependence on an impact parameter between the beams, on phases of the incoming states, and on a phase of the scattering amplitude. A model-independent analysis of these effects is made. Two ways of measuring how a Coulomb phase and a hadronic one change with a transferred momentum t are discussed.

  14. Test of Newton's inverse-square law in the Greenland ice cap

    International Nuclear Information System (INIS)

    Ander, M.E.; Zumberge, M.A.; Lautzenhiser, T.

    1989-01-01

    An Airy-type geophysical experiment was conducted in a 2-km-deep hole in the Greenland ice cap at depths between 213 and 1673 m to test for possible violations of Newton's inverse-square law. An anomalous gravity gradient was observed. We cannot unambiguously attribute it to a breakdown of Newtonian gravity because we have shown that it might be due to unexpected geological features in the rock below the ice

  15. Universality in invariant random-matrix models: Existence near the soft edge

    International Nuclear Information System (INIS)

    Kanzieper, E.; Freilikher, V.

    1997-01-01

    We consider two non-Gaussian ensembles of large Hermitian random matrices with strong level confinement and show that near the soft edge of the spectrum both scaled density of states and eigenvalue correlations follow so-called Airy laws inherent in the Gaussian unitary ensemble. This suggests that the invariant one-matrix models should display universal eigenvalue correlations in the soft-edge scaling limit. copyright 1997 The American Physical Society

  16. Kliendiüritustel arvestage maksuküsimustega / Aidi Kallavus

    Index Scriptorium Estoniae

    Kallavus, Aidi

    2005-01-01

    KPMG Baltics AS-i maksukonsultant annab firmadele nõu ruumide rendi, artistide esinemise, toitlustamise, transpordi, majutuse ja kingituste maksustamise osas. Küsimusele: kas suurendate kingikotti, kui rakendub reklaamkingitustele 50kroonine maksuvaba piirmäär vastavad: EMT, Hansapanga, Saku Õlletehase, Eesti Põlevkivi, Tallinna Vesi ja Estonian Air'i juhtivtöötajad. Vt. samas: Maksustamine töötajate osalemisel üritusel. Lisa: Firmaürituse korraldamisel on mittemaksustatavaid kulusid

  17. NCI Holds on to Defelice Cup | Poster

    Science.gov (United States)

    NCI kept the Defelice Cup trophy this year after beating Leidos Biomedical Research, 15 to 9, at the 10th annual Ronald H. Defelice Golf Tournament held on Columbus Day. Sixteen players on each team battled it out at the yearly contractor vs. government tournament held at Rattlewood Golf Course in Mount Airy, Md. NCI leads the series 6–4. “The score was the highest NCI margin

  18. 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

  19. 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

  20. 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

  1. Rainbow-shift mechanism behind discrete optical-potential ambiguities

    International Nuclear Information System (INIS)

    Brandan, M.E.; McVoy, K.W.

    1991-01-01

    Some years ago, Drisko et al. suggested that the discrete ambiguity often encountered for elastic scattering optical potentials could be understood as being due to the interior or small-l S-matrix elements for two ''equivalent'' potentials differing in phase by 2π, l-by-l. We point out that the absence of this phase change for peripheral partial waves is equally essential, and suggest that a deeper understanding of the ambiguity may be achieved by viewing it as a consequence of a farside interference between interior and peripheral partial waves. It is this interference which produces the broad ''Airy maxima'' of a nuclear rainbow, and we show that a Drisko-type phase-shift increment δ l →(δ l +π) for low-l phases relative to the high-l ones is exactly what is needed to shift a farside rainbow pattern by one Airy maximum, thus providing an equivalent ''rainbow-shift'' interpretation of the discrete ambiguity. The physical importance of both interpretations lies in the fact that the existence of discrete ambiguities (as well as of nuclear rainbows) is explicit evidence for low-l transparency in nucleus-nucleus collisions. The essential role played by low partial waves explains why peripheral reactions have generally not proven helpful in resolving this ambiguity

  2. Inhomogeneous quenches in the transverse field Ising chain: scaling and front dynamics

    Directory of Open Access Journals (Sweden)

    Márton Kormos

    2017-09-01

    Full Text Available We investigate the non-equilibrium dynamics of the transverse field quantum Ising chain evolving from an inhomogeneous initial state given by joining two macroscopically different semi-infinite chains. We obtain integral expressions for all two-point correlation functions of the Jordan-Wigner Majorana fermions at any time and for any value of the transverse field. Using this result, we compute analytically the profiles of various physical observables in the space-time scaling limit and show that they can be obtained from a hydrodynamic picture based on ballistically propagating quasiparticles. Going beyond the hydrodynamic limit, we analyze the approach to the non-equilibrium steady state and find that the leading late time corrections display a lattice effect. We also study the fine structure of the propagating fronts which are found to be described by the Airy kernel and its derivatives. Near the front we observe the phenomenon of energy back-flow where the energy locally flows from the colder to the hotter region.

  3. Composition measurements of binary mixture droplets by rainbow refractometry.

    Science.gov (United States)

    Wilms, J; Weigand, B

    2007-04-10

    So far, refractive index measurements by rainbow refractometry have been used to determine the temperature of single droplets and ensembles of droplets. Rainbow refractometry is, for the first time, to the best of our knowledge, applied to measure composition histories of evaporating, binary mixture droplets. An evaluation method is presented that makes use of Airy theory and the simultaneous size measurement by Mie scattering imaging. The method further includes an empirical correction function for a certain diameter and refractive index range. The measurement uncertainty was investigated by numerical simulations with Lorenz-Mie theory. For the experiments, an optical levitation setup was used allowing for long measurement periods. Temperature measurements of single-component droplets at different temperature levels are shown to demonstrate the accuracy of rainbow refractometry. Measurements of size and composition histories of binary mixture droplets are presented for two different mixtures. Experimental results show good agreement with numerical results using a rapid-mixing model.

  4. Composition measurements of binary mixture droplets by rainbow refractometry

    International Nuclear Information System (INIS)

    Wilms, J.; Weigand, B.

    2007-01-01

    So far, refractive index measurements by rainbow refractometry have been used to determine the temperature of single droplets and ensembles of droplets. Rainbow refractometry is, for the first time, to the best of our knowledge, applied to measure composition histories of evaporating, binary mixture droplets. An evaluation method is presented that makes use of Airy theory and the simultaneous size measurement by Mie scattering imaging. The method further includes an empirical correction function for a certain diameter and refractive index range. The measurement uncertainty was investigated by numerical simulations with Lorenz-Mie theory. For the experiments, an optical levitation setup was used allowing for long measurement periods. Temperature measurements of single-component droplets at different temperature levels are shown to demonstrate the accuracy of rainbow refractometry. Measurements of size and composition histories of binary mixture droplets are presented for two different mixtures. Experimental results show good agreement with numerical results using a rapid-mixing model

  5. Numerical method to calculate the quantum transmission, resonance and eigenvalue energies: application to a biased multibarrier systems

    Energy Technology Data Exchange (ETDEWEB)

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

    2015-04-15

    A novel method to calculate the quantum transmission, resonance and eigenvalue energies forming the sub-bands structure of non-symmetrical, non-periodical semiconducting heterostructure potential has been proposed in this paper. The method can be applied on a multilayer system with varying thickness of the layer and effective mass of electrons and holes. Assuming an approximated effective mass and using Bastard's boundary conditions, Schrödinger equation at each media is solved and then using a confirmed recurrence method, the transmission and reflection coefficients and the energy quantification condition are expressed. They are simple combination of coupled equations. Schrödinger's equation solutions are Airy functions or plane waves, depending on the electrical potential energy slope. To illustrate the feasibility of the proposed method, the N barriers – (N−1) wells structure for N=3, 5, 8, 9, 17 and 35 are studied. All results show very good agreements with previously published results obtained from applying different methods on similar systems.

  6. A Kramers-Moyal approach to the analysis of third-order noise with applications in option valuation.

    Science.gov (United States)

    Popescu, Dan M; Lipan, Ovidiu

    2015-01-01

    We propose the use of the Kramers-Moyal expansion in the analysis of third-order noise. In particular, we show how the approach can be applied in the theoretical study of option valuation. Despite Pawula's theorem, which states that a truncated model may exhibit poor statistical properties, we show that for a third-order Kramers-Moyal truncation model of an option's and its underlier's price, important properties emerge: (i) the option price can be written in a closed analytical form that involves the Airy function, (ii) the price is a positive function for positive skewness in the distribution, (iii) for negative skewness, the price becomes negative only for price values that are close to zero. Moreover, using third-order noise in option valuation reveals additional properties: (iv) the inconsistencies between two popular option pricing approaches (using a "delta-hedged" portfolio and using an option replicating portfolio) that are otherwise equivalent up to the second moment, (v) the ability to develop a measure R of how accurately an option can be replicated by a mixture of the underlying stocks and cash, (vi) further limitations of second-order models revealed by introducing third-order noise.

  7. Soliton surfaces via a zero-curvature representation of differential equations

    International Nuclear Information System (INIS)

    Grundland, A M; Post, S

    2012-01-01

    The main aim of this paper is to introduce a new version of the Fokas–Gel’fand formula for immersion of soliton surfaces in Lie algebras. The paper contains a detailed exposition of the technique for obtaining exact forms of 2D surfaces associated with any solution of a given nonlinear ordinary differential equation which can be written in the zero-curvature form. That is, for any generalized symmetry of the zero-curvature condition of the associated integrable model, it is possible to construct soliton surfaces whose Gauss–Mainardi–Codazzi equations are equivalent to infinitesimal deformations of the zero-curvature representation of the considered model. Conversely, it is shown (proposition 1) that for a given immersion function of a 2D soliton surface in a Lie algebra, it is possible to derive the associated generalized vector field in the evolutionary form which characterizes all symmetries of the zero-curvature condition. The theoretical considerations are illustrated via surfaces associated with the Painlevé equations P1, P2 and P3, including transcendental functions, the special cases of the rational and Airy solutions of P2 and the classical solutions of P3. (paper)

  8. Exact solutions for scalar field cosmology in f(R) gravity

    Science.gov (United States)

    Maharaj, S. D.; Goswami, R.; Chervon, S. V.; Nikolaev, A. V.

    2017-09-01

    We study scalar field FLRW cosmology in the content of f(R) gravity. Our consideration is restricted to the spatially flat Friedmann universe. We derived the general evolution equations of the model, and showed that the scalar field equation is automatically satisfied for any form of the f(R) function. We also derived representations for kinetic and potential energies, as well as for the acceleration in terms of the Hubble parameter and the form of the f(R) function. Next we found the exact cosmological solutions in modified gravity without specifying the f(R) function. With negligible acceleration of the scalar curvature, we found that the de Sitter inflationary solution is always attained. Also we obtained new solutions with special restrictions on the integration constants. These solutions contain oscillating, accelerating, decelerating and even contracting universes. For further investigation, we selected special cases which can be applied with early or late inflation. We also found exact solutions for the general case for the model with negligible acceleration of the scalar curvature in terms of special Airy functions. Using initial conditions which represent the universe at the present epoch, we determined the constants of integration. This allows for the comparison of the scale factor in the new solutions with that for current stage of the universe evolution in the ΛCDM model.

  9. Analysis of the seismic wavefield in the Moesian Platform (Bucharest area) for hazard assessment purposes

    Science.gov (United States)

    Manea, Elena Florinela; Michel, Clotaire; Hobiger, Manuel; Fäh, Donat; Cioflan, Carmen Ortanza; Radulian, Mircea

    2017-09-01

    During large earthquakes generated at intermediate depth in the Vrancea seismic zone, the ground motion recorded in Bucharest (Romania) is characterized by predominant long periods with strong amplification. Time-frequency analysis highlights the generation of low frequency surface waves (edges of this large sedimentary basin or multipath interference waves (Airy phases of Love and Rayleigh waves), on ground motion. The data from a 35 km diameter array (URS experiment) were used. The array was installed by the National Institute for Earth Physics in cooperation with the Karlsruhe Institute for Technology and operated during 10 months in 2003 and 2004 in the urban area of Bucharest and adjacent zones. The earthquake wavefield recorded by the URS array was analysed using the MUSIQUE technique. This technique analyses the three-component signals of all sensors of a seismic array together. The analysis includes 19 earthquakes with epicentral distances from 100 to 1560 km and with various backazimuths with enough energy at low frequencies (0.1-1 Hz), within the resolution range of the array. For all events, the largest portion of energy is arriving from the source direction and the wavefield is dominated by Love waves. The results of the array analyses clearly indicate a significant scattering corresponding to 2-D or 3-D effects of the Moesian Platform. The azimuthal distribution shows that the scattering comes primarily from the southern and northern edges of the basin. The Airy phase of Love waves was clearly identified as the main contributor in the range of the fundamental frequency of resonance of the basin (0.15-0.25 Hz), with directionality along the backazimuth and its opposite direction. Moreover, two further distinct frequency bands around 0.4 and 0.7 Hz with higher amplitudes were identified. Their complex nature is a combination of the higher modes of Rayleigh waves, Airy phases of Love waves and SH waves. Love and Rayleigh wave dispersion curves were

  10. Kolmene ülikool esitles professoreid ja kirjanduspreemia laureaate

    Index Scriptorium Estoniae

    2008-01-01

    Tallinna Ülikool esitles 3. aastapäeva aktusel aasta jooksul professoreiks valituid: Lorenzo Cañás Bottos, Jyrki Käkönen, Aaro Toomela, Airi Värnik, Marika Mägi, Priit Reiska, Eve Kikas ja Karsten Brüggemann. Selgusid ka tänavused Tallinna Ülikooli kirjanduspreemia laureaadid. Algupärase ilukirjanduse vallas pälvis auhinna romanist, luuletaja ja tõlkija, doktorant Maarja Kangro, tõlkepreemia sai kirjanik ja tõlkija Arvo Valton

  11. ERKÜ valimiste tulemused

    Index Scriptorium Estoniae

    2006-01-01

    8. aprilli koosolekul kinnitas valimiste peakomitee XIX Esinduskogu liikmed: Mati Kõiva, Ylo Anson, Juhan Simonson, Airi Vaga, Gilda M. Karu, Taavo Virkhaus, Marju Rink-Abel, Markus Vaga, Eric Suuberg, Endel Reinpõld, Jaak Juhansoo, Ülle Ederma, Lya Karm, Heino Jõgis, Kersti Linask, Jaak Rakfeldt, Erik Puskar, Jüri Linask, Viiu Vanderer, Andres Kurrik, Mati Valdek Laan, Ilmar Vanderer, Henno Uus, Jüri Tults, Urmas Wompa, Astrid Jaanson, Jüri Virkus, Lilian G. G. Bein, Tiina Harris, Tõnu Vanderer

  12. From Estonian Exile to Executive Office / Susan Frith

    Index Scriptorium Estoniae

    Frith, Susan

    2008-01-01

    Eesti Vabariigi Presidendi Toomas Hendrik Ilvese elukäigust, haridusteest, poliitilistest vaadetest. T. H. Ilves lõpetas Pennsylvania ülikooli psühholoogia alal magistrikraadiga 1978. a. Artiklis on kasutatud telefoniintervjuud presidendiga. T. H. Ilvese kohta avaldavad arvamust ülikoolikaaslane Brian Wandell ja Eesti Rahvuskomitee Ühendriikides endine president Juhan Simonson. Ülevaade artiklist ilmunud ka: Vaba Eesti Sõna, 24. jaan. 2008, lk. 7, 10: Vaga, Airi. Eesti president Toomas H. Ilves Pennsylvania ülikooli ajakirjas

  13. Tarbekunsti- ja Disainimuuseum taas avatud

    Index Scriptorium Estoniae

    2005-01-01

    2. VI avati rekonstrueeritud muuseumihoone. Rekonstrueerimisprojekti autorid: Arhitektuuriagentuuri arhitekt Inga Raukas, sisearhitekt Monika Löve. Ehitustööd: Rihti Projekt. Avatud nahakunstinäitus "Järjehoidja" (kuraator Airi Ligi, kujundaja Siiri Nõva, näha saab ka nahakunsti üliõpilaste töid; filmiprogramm: Maya Yonesho "Üks uks", "Ecce libri" Pille Kivihallist, Tiina Piisangust ja Maarja Unduskist) ja rahvusvaheline köitekunstinäitus "Scripta manent III. Maailma parim asi", kujundaja Lennart Mänd

  14. Adaptive Generation and Diagnostics of Linear Few-Cycle Light Bullets

    Directory of Open Access Journals (Sweden)

    Martin Bock

    2013-02-01

    Full Text Available Recently we introduced the class of highly localized wavepackets (HLWs as a generalization of optical Bessel-like needle beams. Here we report on the progress in this field. In contrast to pulsed Bessel beams and Airy beams, ultrashort-pulsed HLWs propagate with high stability in both spatial and temporal domain, are nearly paraxial (supercollimated, have fringe-less spatial profiles and thus represent the best possible approximation to linear “light bullets”. Like Bessel beams and Airy beams, HLWs show self-reconstructing behavior. Adaptive HLWs can be shaped by ultraflat three-dimensional phase profiles (generalized axicons which are programmed via calibrated grayscale maps of liquid-crystal-on-silicon spatial light modulators (LCoS-SLMs. Light bullets of even higher complexity can either be freely formed from quasi-continuous phase maps or discretely composed from addressable arrays of identical nondiffracting beams. The characterization of few-cycle light bullets requires spatially resolved measuring techniques. In our experiments, wavefront, pulse and phase were detected with a Shack-Hartmann wavefront sensor, 2D-autocorrelation and spectral phase interferometry for direct electric-field reconstruction (SPIDER. The combination of the unique propagation properties of light bullets with the flexibility of adaptive optics opens new prospects for applications of structured light like optical tweezers, microscopy, data transfer and storage, laser fusion, plasmon control or nonlinear spectroscopy.

  15. Simulation of electron transmittance and tunnel current in n{sup +} Poly-Si/HfSiO{sub x}N/Trap/SiO{sub 2}/Si(100) capacitors using analytical and numerical approaches

    Energy Technology Data Exchange (ETDEWEB)

    Noor, Fatimah A., E-mail: fatimah@fi.itb.ac.id; Iskandar, Ferry; Abdullah, Mikrajuddin; Khairurrijal [Physics of Electronic Materials Research Division Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jalan Ganesa 10, Bandung 40132 (Indonesia)

    2015-04-16

    In this paper, we discuss the electron transmittance and tunneling current in high-k-based-MOS capacitors with trapping charge by including the off-diagonal effective-mass tensor elements and the effect of coupling between transverse and longitudinal energies represented by an electron velocity in the gate. The HfSiO{sub x}N/SiO{sub 2} dual ultrathin layer is used as the gate oxide in an n{sup +} poly- Si/oxide/Si capacitor to replace SiO{sub 2}. The main problem of using HfSiO{sub x}N is the charge trapping formed at the HfSiO{sub x}N/SiO{sub 2} interface that can influence the performance of the device. Therefore, it is important to develop a model taking into account the presence of electron traps at the HfSiO{sub x}N/SiO{sub 2} interface in the electron transmittance and tunneling current. The transmittance and tunneling current in n{sup +} poly- Si/HfSiO{sub x}N/trap/SiO2/Si(100) capacitors are calculated by using Airy wavefunctions and a transfer matrix method (TMM) as analytical and numerical approaches, respectively. The transmittance and tunneling current obtained from the Airy wavefunction are compared to those computed by the TMM. The effects of the electron velocity on the transmittance and tunneling current are also discussed.

  16. Nonlinear steady-state coupling of LH waves

    International Nuclear Information System (INIS)

    Ko, K.; Krapchev, V.B.

    1981-02-01

    The coupling of lower hybrid waves at the plasma edge by a two waveguide array with self-consistent density modulation is solved numerically. For a linear density profile, the governing nonlinear Klein-Gordon equation for the electric field can be written as a system of nonlinearly modified Airy equations in Fourier k/sub z/-space. Numerical solutions to the nonlinear system satisfying radiation condition are obtained. Spectra broadening and modifications to resonance cone trajectories are observed with increase of incident power

  17. Max Weber Visits America: A Review of the Video

    OpenAIRE

    Michael Wise

    2006-01-01

    The North Carolina Sociological Society is proud to announce the long-awaited video of Max Weber's trip to North Carolina as retold by two of his cousins. Max Weber made a trip to visit relatives in Mount Airy, North Carolina, in 1904. This 2004 narrative by Larry Keeter and Stephen Hall is the story of locating and interviewing two living eyewitnesses (1976) to Max Weber's trip. The video includes information about Weber's contributions to modern sociology. Dowloadable files are provided...

  18. Diffusion corrections to the hard pomeron

    CERN Document Server

    Ciafaloni, Marcello; Müller, A H; Ciafaloni, Marcello; Taiuti, Martina

    2001-01-01

    The high-energy behaviour of two-scale hard processes is investigated in the framework of small-x models with running coupling, having the Airy diffusion model as prototype. We show that, in some intermediate high-energy regime, the perturbative hard Pomeron exponent determines the energy dependence, and we prove that diffusion corrections have the form hinted at before in particular cases. We also discuss the breakdown of such regime at very large energies, and the onset of the non-perturbative Pomeron behaviour.

  19. 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

  20. Estonian Airi ümber käib lehmakauplemine / Tõnu Lilleorg

    Index Scriptorium Estoniae

    Lilleorg, Tõnu

    2008-01-01

    Skandinaavia lennukompanii SAS saatis Eesti valitsusele kirja, milles teatab, et on nõus raskustes Estonian Airile lisainvesteeringuid tegema vaid siis, kui riik müüb SAS-ile oma osaluse, 34%. Vt. samas: SAS ei taha lennufirma eest maksta üle 150 miljoni. Diagramm: Majandusnäitajad, omanikud

  1. Physical states in the canonical tensor model from the perspective of random tensor networks

    Energy Technology Data Exchange (ETDEWEB)

    Narain, Gaurav [The Institute for Fundamental Study “The Tah Poe Academia Institute”,Naresuan University, Phitsanulok 65000 (Thailand); Sasakura, Naoki [Yukawa Institute for Theoretical Physics,Kyoto University, Kyoto 606-8502 (Japan); Sato, Yuki [National Institute for Theoretical Physics,School of Physics and Centre for Theoretical Physics,University of the Witwartersrand, WITS 2050 (South Africa)

    2015-01-07

    Tensor models, generalization of matrix models, are studied aiming for quantum gravity in dimensions larger than two. Among them, the canonical tensor model is formulated as a totally constrained system with first-class constraints, the algebra of which resembles the Dirac algebra of general relativity. When quantized, the physical states are defined to be vanished by the quantized constraints. In explicit representations, the constraint equations are a set of partial differential equations for the physical wave-functions, which do not seem straightforward to be solved due to their non-linear character. In this paper, after providing some explicit solutions for N=2,3, we show that certain scale-free integration of partition functions of statistical systems on random networks (or random tensor networks more generally) provides a series of solutions for general N. Then, by generalizing this form, we also obtain various solutions for general N. Moreover, we show that the solutions for the cases with a cosmological constant can be obtained from those with no cosmological constant for increased N. This would imply the interesting possibility that a cosmological constant can always be absorbed into the dynamics and is not an input parameter in the canonical tensor model. We also observe the possibility of symmetry enhancement in N=3, and comment on an extension of Airy function related to the solutions.

  2. Passive solar commercial buildings: design assistance and demonstration program. Phase 1. Final report

    Energy Technology Data Exchange (ETDEWEB)

    None

    1981-01-26

    The final design of the Mount Airy Public Library is given. Incremental passive design costs are discussed. Performance and economic analyses are made and the results reported. The design process is thoroughly documented. Considerations discussed are: (1) building energy needs; (2) site energy potentials, (3) matching energy needs with site energy potentials, (4) design indicators for best strategies and concepts, (5) schematic design alternatives, (6) performance testing of the alternatives, (7) design selection, and (8) design development. Weather data and Duke Power electric rates are included. (LEW)

  3. Phase Memory Preserving Harmonics from Abruptly Autofocusing Beams.

    Science.gov (United States)

    Koulouklidis, Anastasios D; Papazoglou, Dimitris G; Fedorov, Vladimir Yu; Tzortzakis, Stelios

    2017-12-01

    We demonstrate both theoretically and experimentally that the harmonics from abruptly autofocusing ring-Airy beams present a surprising property: They preserve the phase distribution of the fundamental beam. Consequently, this "phase memory" imparts to the harmonics the abrupt autofocusing behavior, while, under certain conditions, their foci coincide in space with the one of the fundamental. Experiments agree well with our theoretical estimates and detailed numerical calculations. Our findings open the way for the use of such beams and their harmonics in strong field science.

  4. STUDY OF BIREFRINGENCE INFLUENCE ON IMAGE QUALITY OF PHOTOLITHOGRAPHY SYSTEMS IN VIEW OF PARTIALLY-COHERENT LIGHT SOURCE

    Directory of Open Access Journals (Sweden)

    E. A. Nikulina

    2015-03-01

    Full Text Available Subject of study. A vector model for conversion of electromagnetic radiation in optical systems is considered, taking into account the influence of birefringence, as well as partially coherent illumination. Model. The proposed model is based on the representation of the complex amplitude of the monochromatic field through thesuperposition of basic plane waves. Transmitted light image with partially coherent illumination is performed by the sourceintegration method. Main results. The results of simulation for the point spread function are demonstrating the level of the birefringence influence on the image quality. In the presence of the wave aberration about 0.098 of the wavelength, the wave energy loss in the center of the Airy disk with an average birefringence of 4 nm/cm was 8%, and at 16 nm/cm it reached 30%. The calculation of the point spread function for a real sample of fluorite is given. The central peak of the PSF without birefringence was 0.722, with regard to birefringence it was equal to 0.701. Practical significance. The findings can be used in the development of photolithographic lenses, as well as for the manufacturing of any other optical systems that require consideration of the polarization properties of the materials.

  5. Elastic scattering of 16O+16O at energies E/A between 5 and 8 MeV

    International Nuclear Information System (INIS)

    Nicoli, M. P.; Haas, F.; Freeman, R. M.; Aissaoui, N.; Beck, C.; Elanique, A.; Nouicer, R.; Morsad, A.; Szilner, S.; Basrak, Z.

    1999-01-01

    The elastic scattering of 16 O+ 16 O has been measured at nine energies between E lab =75 and 124 MeV. The data cover up to 100 degree sign in the c.m. and can be described in terms of phenomenological and folding model potentials which reproduce the main features observed. In agreement with studies at higher energies in this and similar systems, refractive effects are present in the angular distributions at all energies. In particular, the passage of Airy minima through 90 degree sign at E c.m. =40, 47.5, and 62 MeV explains the deep minima observed in the excitation function. The real part of the optical potential is found to vary very little with energy over the studied interval, but the imaginary part shows a rapid change in its shape at incident energy about 90 MeV. Nonetheless, the energy dependence of the volume integral of the real and imaginary parts is in agreement with dispersion relation predictions. (c) 1999 The American Physical Society

  6. Discrete Calculus as a Bridge between Scales

    Science.gov (United States)

    Degiuli, Eric; McElwaine, Jim

    2012-02-01

    Understanding how continuum descriptions of disordered media emerge from the microscopic scale is a fundamental challenge in condensed matter physics. In many systems, it is necessary to coarse-grain balance equations at the microscopic scale to obtain macroscopic equations. We report development of an exact, discrete calculus, which allows identification of discrete microscopic equations with their continuum equivalent [1]. This allows the application of powerful techniques of calculus, such as the Helmholtz decomposition, the Divergence Theorem, and Stokes' Theorem. We illustrate our results with granular materials. In particular, we show how Newton's laws for a single grain reproduce their continuum equivalent in the calculus. This allows introduction of a discrete Airy stress function, exactly as in the continuum. As an application of the formalism, we show how these results give the natural mean-field variation of discrete quantities, in agreement with numerical simulations. The discrete calculus thus acts as a bridge between discrete microscale quantities and continuous macroscale quantities. [4pt] [1] E. DeGiuli & J. McElwaine, PRE 2011. doi: 10.1103/PhysRevE.84.041310

  7. Capabilities of using white x-rays for the reconstruction of surface morphology from coherent reflectivity

    Energy Technology Data Exchange (ETDEWEB)

    Sant, Tushar, E-mail: tushar@physik.uni-siegen.de [Solid State Physics Group, University of Siegen, 57068 Siegen (Germany); Panzner, Tobias [Paul Scherrer Institute (Switzerland); Pietsch, Ullrich [Solid State Physics Group, University of Siegen, 57068 Siegen (Germany)

    2010-10-15

    We present a new method to reconstruct the surface profile of a sample from coherent reflectivity data of a white x-ray beam experiment. As an example the surface profile of a laterally confined silicon wafer has been reconstructed quantitatively from static speckle measurements using white coherent x-rays from a bending magnet in the energy range between 5 < E < 20 keV. As a consequence of using white radiation, speckles appear in addition to the Airy pattern caused by scattering at the entrance pinhole. Nevertheless, the surface profile of a triangularly shaped specimen was reconstructed considering sufficient oversampling between the beam-footprint and the effective sample width. For the profile reconstruction the Error-Reduction phase retrieval algorithm was modified by including the spectral illumination function and a Fresnel propagator term. The simultaneous use of different x-ray energies having different penetration depth provides information on the evolution of the surface profile from the near-surface towards the bulk. The limitations of present experiment can be overcome using white or pink radiation from a source with higher photon flux.

  8. Distinct crustal isostasy trends east and west of the Rocky Mountain Front

    KAUST Repository

    Schmandt, Brandon

    2015-12-14

    © 2015. American Geophysical Union. All Rights Reserved. Seismic structure beneath the contiguous U.S. was imaged with multimode receiver function stacking and inversion of Rayleigh wave dispersion and ellipticity measurements. Crust thickness and elevation are weakly correlated across the contiguous U.S., but the correlation is ∼3-4 times greater for separate areas east and west of the Rocky Mountain Front (RMF). Greater lower crustal shear velocities east of the RMF, particularly in low-elevation areas with thick crust, are consistent with deep crustal density as the primary cause of the contrasting crust thickness versus elevation trends. Separate eastern and western trends are best fit by Airy isostasy models that assume lower crust to uppermost mantle density increases of 0.18 g/cm3 and 0.40 g/cm3, respectively. The former value is near the minimum that is plausible for felsic lower crust. Location of the transition at the RMF suggests that Laramide to post-Laramide processes reduced western U.S. lower crustal density.

  9. Three-dimensional wave-induced current model equations and radiation stresses

    Science.gov (United States)

    Xia, Hua-yong

    2017-08-01

    After the approach by Mellor (2003, 2008), the present paper reports on a repeated effort to derive the equations for three-dimensional wave-induced current. Via the vertical momentum equation and a proper coordinate transformation, the phase-averaged wave dynamic pressure is well treated, and a continuous and depth-dependent radiation stress tensor, rather than the controversial delta Dirac function at the surface shown in Mellor (2008), is provided. Besides, a phase-averaged vertical momentum flux over a sloping bottom is introduced. All the inconsistencies in Mellor (2003, 2008), pointed out by Ardhuin et al. (2008) and Bennis and Ardhuin (2011), are overcome in the presently revised equations. In a test case with a sloping sea bed, as shown in Ardhuin et al. (2008), the wave-driving forces derived in the present equations are in good balance, and no spurious vertical circulation occurs outside the surf zone, indicating that Airy's wave theory and the approach of Mellor (2003, 2008) are applicable for the derivation of the wave-induced current model.

  10. Phase space eigenfunctions of multidimensional quadratic Hamiltonians

    International Nuclear Information System (INIS)

    Dodonov, V.V.; Man'ko, V.I.

    1986-01-01

    We obtain the explicit expressions for phace space eigenfunctions (PSE),i.e. Weyl's symbols of dyadic operators like vertical stroken> ,vertical strokem>, being the solution of the Schroedinger equation with the Hamiltonian which is a quite arbitrary multidimensional quadratic form of the operators of Cartesian coordinates and conjugated to them momenta with time-dependent coefficients. It is shown that for an arbitrary quadratic Hamiltonian one can always construct the set of completely factorized PSE which are products of N factors, each factor being dependent only on two arguments for nnot=m and on a single argument for n=m. These arguments are nothing but constants of motion of the correspondent classical system. PSE are expressed in terms of the associated Laguerre polynomials in the case of a discrete spectrum and in terms of the Airy functions in the continuous spectrum case. Three examples are considered: a harmonic oscillator with a time-dependent frequency, a charged particle in a nonstationary uniform magnetic field, and a particle in a time-dependent uniform potential field. (orig.)

  11. Simulated electron affinity tuning in metal-insulator-metal (MIM) diodes

    Science.gov (United States)

    Mistry, Kissan; Yavuz, Mustafa; Musselman, Kevin P.

    2017-05-01

    Metal-insulator-metal diodes for rectification applications must exhibit high asymmetry, nonlinearity, and responsivity. Traditional methods of improving these figures of merit have consisted of increasing insulator thickness, adding multiple insulator layers, and utilizing a variety of metal contact combinations. However, these methods have come with the price of increasing the diode resistance and ultimately limiting the operating frequency to well below the terahertz regime. In this work, an Airy Function Transfer Matrix simulation method was used to observe the effect of tuning the electron affinity of the insulator as a technique to decrease the diode resistance. It was shown that a small increase in electron affinity can result in a resistance decrease in upwards of five orders of magnitude, corresponding to an increase in operating frequency on the same order. Electron affinity tuning has a minimal effect on the diode figures of merit, where asymmetry improves or remains unaffected and slight decreases in nonlinearity and responsivity are likely to be greatly outweighed by the improved operating frequency of the diode.

  12. Diffraction coherence in optics

    CERN Document Server

    Françon, M; Green, L L

    2013-01-01

    Diffraction: Coherence in Optics presents a detailed account of the course on Fraunhofer diffraction phenomena, studied at the Faculty of Science in Paris. The publication first elaborates on Huygens' principle and diffraction phenomena for a monochromatic point source and diffraction by an aperture of simple form. Discussions focus on diffraction at infinity and at a finite distance, simplified expressions for the field, calculation of the path difference, diffraction by a rectangular aperture, narrow slit, and circular aperture, and distribution of luminous flux in the airy spot. The book th

  13. Nonlinear Photonics and Novel Optical Phenomena

    CERN Document Server

    Morandotti, Roberto

    2012-01-01

    Nonlinear Photonics and Novel Optical Phenomena contains contributed chapters from leading experts in nonlinear optics and photonics, and provides a comprehensive survey of fundamental concepts as well as hot topics in current research on nonlinear optical waves and related novel phenomena. The book covers self-accelerating airy beams, integrated photonics based on high index doped-silica glass, linear and nonlinear spatial beam dynamics in photonic lattices and waveguide arrays, polariton solitons and localized structures in semiconductor microcavities, terahertz waves, and other novel phenomena in different nanophotonic and optical systems.

  14. Gap plasmon resonator arrays for unidirectional launching and shaping of surface plasmon polaritons

    Energy Technology Data Exchange (ETDEWEB)

    Lei, Zeyu; Yang, Tian, E-mail: tianyang@sjtu.edu.cn [State Key Laboratory of Advanced Optical Communication Systems and Networks, Key Laboratory for Thin Film and Microfabrication of the Ministry of Education, UM-SJTU Joint Institute, Shanghai Jiao Tong University, Shanghai 200240 (China)

    2016-04-18

    We report the design and experimental realization of a type of miniaturized device for efficient unidirectional launching and shaping of surface plasmon polaritons (SPPs). Each device consists of an array of evenly spaced gap plasmon resonators with varying dimensions. Particle swarm optimization is used to achieve a theoretical two-dimensional launching efficiency of about 51%, under the normal illumination of a 5-μm waist Gaussian beam at 780 nm. By modifying the wavefront of the SPPs, unidirectional SPPs with focused, Bessel, and Airy profiles are launched and imaged with leakage radiation microscopy.

  15. Kas Eesti avastamine algab Põhja-Eestist? : Põhja-Eesti V turismikonverents

    Index Scriptorium Estoniae

    2010-01-01

    17. novembril Jõhvi Kontserdimajas toimunud Põhja-Eesti V turismikonverentsist “Kas Eesti avastamine algab Põhja- Eestist?", mille avas Ida-Virumaa maavalitsuse Arengu- ja planeeringuosakonna juhataja Urmas Majaääs. Ülevaade SA Ida-Virumaa Ettevõtluskeskuse turismikoordinaatori Sigrid Karoni, Estonian Airi asepresidendi kommertsalal Rauno Parrase, EASi koordinaatori turismiuuringute alal Piret Kallase, kommunikatsioonikonsultandi Raul Rebase, SA Põhja-Eesti Turism projektijuhi Erika Pääbuse ja nõukogu liikme Moonika Sooneste, CityBike OÜ tegevjuhi Toomas Lelovi, Narva-Jõesuu linnapea Andres Noormägi, Loodusturismi arendaja ja koolitaja Rein Kuresoo ettekannetest

  16. Integrated Building Design

    DEFF Research Database (Denmark)

    Heiselberg, Per

    In the first half of the 20th century, HVAC systems and artificial lighting were developed to meet indoor comfort needs. Before the introduction of mechanical systems, climate - not building style or appearance - was the major determinant of building form. Comfort was achieved through passive means...... and architectural features built into the design. However, with the advent of new technologies, architects were no longer constrained by the need to ensure that buildings had ample daylighting, remained airy and cool in the summer and warm in the winter. Since HVAC systems and artificial lighting could satisfy...

  17. Tilapia-waste flour as a natural nutritional replacer for bread: A consumer perspective.

    Science.gov (United States)

    Monteiro, Maria Lúcia G; Mársico, Eliane T; Soares Junior, Manoel S; Deliza, Rosires; de Oliveira, Denize C R; Conte-Junior, Carlos A

    2018-01-01

    Six bread formulations with different levels of tilapia-waste flour (BTF0%, BTF2.5%, BTF5%, BTF10%, BTF15%, and BTF20%) were analyzed for nutritional composition and sensory characterization. Tilapia-waste flour (TF) increased (P bread at levels below 12.17% (P bread because of a disagreeable flavor, aroma, and texture; however, airy appearance, sticky in the teeth and cream color did not influence the overall liking. TF at 5% enhanced the nutritional value while maintaining acceptable sensory scores for bread, constituting a potential strategy to satisfy consumer and industry requirements.

  18. Non-diffractive waves

    CERN Document Server

    Hernandez-Figueroa, Hugo E; Recami, Erasmo

    2013-01-01

    This continuation and extension of the successful book ""Localized Waves"" by the same editors brings together leading researchers in non-diffractive waves to cover the most important results in their field and as such is the first to present the current state.The well-balanced presentation of theory and experiments guides readers through the background of different types of non-diffractive waves, their generation, propagation, and possible applications. The authors include a historical account of the development of the field, and cover different types of non-diffractive waves, including Airy

  19. Eesti esimene välismaalasest advokaat tegi partneriks naisadvokaadi / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2005-01-01

    Advokaadibüroost Sorainen Law Offices. Lisad: kui palju maksab advokaadi tund? ; riik ostis õigusabi 1,1 miljoni krooni eest ; fakte advokaadibüroo Sorainen Law Offices kohta ; miljonid kroonid dividendideks

  20. 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

  1. Uppsala ülikool nimetas uue soome-ugri keelte dotsendi / Airi Alanurme

    Index Scriptorium Estoniae

    Alanurme, Airi

    2005-01-01

    2. detsembril 2005 keeleteaduskonna nõukogus. Virve Raag valis dotsentuuriloengu teemaks "Soome-ugri keelereformijad põhjas ja lõunas: Johannes Aavik ja Ferenc Kazinczy". Loeng toimus 29. novembril ülikooli auditooriumis

  2. Eesti Ehitus jättis Sedini hätta / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2007-01-01

    Ilmunud ka: Delovõje Vedomosti 28. veebr. lk. 9. Eesti Ehitus loobus osalemast Lutheri elamukvartali väljaehitamisel. Vt. samas: Peeter Raidla. Kinnistu jäi Sedinile raskuste kiuste; Gert D. Hankewitz, Gea Velthut-Sokka. Korteriostja ja konkurendid ehituse katkemises ohu märki ei näe; Kalleim korter maksab ligi 7 miljonit; Grove Invest. Küsimustele vastab Pjotr Sedin

  3. 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

  4. 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

  5. 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

  6. Diffraction and angular momentum effects in semiclassical atomic scattering theory

    International Nuclear Information System (INIS)

    Russek, A.

    1979-01-01

    The semiclassical scattering theory of Mott and Massey and Ford and Wheeler is here extended to multichannel scattering as occurs at a crossing or pseudocrossing of the transient molecule formed by the colliding atoms. The generalized theory incorporates both interference and diffraction phenomena, but the emphasis in this work is on diffraction. For small-angle scattering, diffraction effects become broader, not narrower, as the collision energy increases: ΔbΔtau > or = h[E/sub inc//(2m)]/sup 1/2/ relates the uncertainties in impact parameter b and reduced scattering angle tau = E/sub inc/theta, and determines the range in b required to resolve a structure in the deflection function of height Δtau. In the kilovolt range of collision energies, the effects of local maxima and minima in the deflection function are washed out, and the Airy-function approximation of Ford and Wheeler is inappropriate to describe the differential cross section. More generally, it is shown that at keV collision energies the stationary-phase approximation, heretofore essential in the reduction to the semiclassical limit, breaks down in the vicinity of a level crossing. An approximate theorem is proposed which remains valid in this region and elsewhere reduces to the standard stationary-phase approximation. Several illustrative examples are considered. A separate development treats the effect on the differential scattering cross section of a change in electronic angular momentum when electronic excitation occurs

  7. SHADES OF BLACK IN BAKI’S DIVAN BÂKÎ DİVANI'NDA SİYAH RENKLİ UNSURLAR

    Directory of Open Access Journals (Sweden)

    Hüseyin GÜFTA

    2009-12-01

    Full Text Available The essence of divan poetry (classical Ottoman poetry is language. The divan poet chose words carefully, gave importance to words of color, and expressed his emotions, dreams and thoughts in a bright and colorful way by imbuing colors with a symbolical meaning. In the aesthetics of divan poetry one of the most commonly used colors by the divan poet is black. The divan poet made large use of the black color and its associations in his descriptions of nature and humanity. This study handles Baki’s Divan in terms of the use of the black color and aims to explore its major characteristics. Divan şiirinin asıl malzemesi dildir. Divan şairi, kelimeleri seçerken titiz davranmış, renk bildiren kelimelere önem vermiş; renklere semboller de yükleyerek duygu, düşünce ve hayallerini renkli ve parlak ifadelerle dile getirmiştir. Divan şairinin divan şiiri estetik anlayışı çerçevesinde en çok zikrettiği renklerden biri de siyahtır. Divan şairi, insana ve tabiata dair tasvirlerinde siyah renkten ve bu rengin çağrışımlarından geniş bir şekilde faydalanmıştır. Bâkî Divanı'nı esas alan bu araştırma, divandaki siyah renkli unsurları tespit etmeyi ve bu unsurların hangi özellikleriyle ve nasıl kullanıldıklarını belirlemeyi amaçlamaktadır.

  8. An Invariance Principle to Ferrari-Spohn Diffusions

    Science.gov (United States)

    Ioffe, Dmitry; Shlosman, Senya; Velenik, Yvan

    2015-06-01

    We prove an invariance principle for a class of tilted 1 + 1-dimensional SOS models or, equivalently, for a class of tilted random walk bridges in . The limiting objects are stationary reversible ergodic diffusions with drifts given by the logarithmic derivatives of the ground states of associated singular Sturm-Liouville operators. In the case of a linear area tilt, we recover the Ferrari-Spohn diffusion with log-Airy drift, which was derived in Ferrari and Spohn (Ann Probab 33(4):1302—1325, 2005) in the context of Brownian motions conditioned to stay above circular and parabolic barriers.

  9. The Volunteer Soldier--A Self-Portrait.

    Science.gov (United States)

    1980-05-27

    in too long now. Now, it’s just almost too easy. Uplifting experience? I could only say, meeting my husband. A girlfriend of mine, in the barracks, she...he was always in a bad mood , and he was really hard on us. I seen him outright lie, and it’s not just him. I seen other recruiters, from the Air...I didn’t salute you (laughs). It kind of made me angry (laughs). I think you were in a bad mood (laughs). I went back and I was all huffy the rest of

  10. Quantitatively measuring the orbital angular momentum density of light : Presentation

    CSIR Research Space (South Africa)

    Dudley, Angela L

    2013-08-01

    Full Text Available the orbital angular momentum density of light Angela Dudleya, Christian Schulzeb, Igor Litvina, Michael Duparréb and Andrew Forbes*a,c,d a CSIR National Laser Centre, PO Box 395, Pretoria 0001, South Africa; b Institute of Applied Optics, Friedrich...., “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177(1-6), 297–301 (2000). [3] Sztul, H. I. and Alfano, R. R., “The Poynting vector and angular momentum of Airy beams,” Opt. Express 16(13), 9411–9416 (2008). [4] Allen, L...

  11. Error Estimates for Approximate Solutions of the Riccati Equation with Real or Complex Potentials

    Science.gov (United States)

    Finster, Felix; Smoller, Joel

    2010-09-01

    A method is presented for obtaining rigorous error estimates for approximate solutions of the Riccati equation, with real or complex potentials. Our main tool is to derive invariant region estimates for complex solutions of the Riccati equation. We explain the general strategy for applying these estimates and illustrate the method in typical examples, where the approximate solutions are obtained by gluing together WKB and Airy solutions of corresponding one-dimensional Schrödinger equations. Our method is motivated by, and has applications to, the analysis of linear wave equations in the geometry of a rotating black hole.

  12. Approximate and analytical solutions for solute transport from an injection well into a single fracture

    International Nuclear Information System (INIS)

    Chen, C.S.; Yates, S.R.

    1989-01-01

    In dealing with problems related to land-based nuclear waste management, a number of analytical and approximate solutions were developed to quantify radionuclide transport through fractures contained in the porous formation. It has been reported that by treating the radioactive decay constant as the appropriate first-order rate constant, these solutions can also be used to study injection problems of a similar nature subject to first-order chemical or biological reactions. The fracture is idealized by a pair of parallel, smooth plates separated by an aperture of constant thickness. Groundwater was assumed to be immobile in the underlying and overlying porous formations due to their low permeabilities. However, the injected radionuclides were able to move from the fracture into the porous matrix by molecular diffusion (the matrix diffusion) due to possible concentration gradients across the interface between the fracture and the porous matrix. Calculation of the transient solutions is not straightforward, and the paper documents a contained Fortran program, which computes the Stehfest inversion, the Airy functions, and gives the concentration distributions in the fracture as well as in the porous matrix for both transient and steady-state cases

  13. Crustal structure under the central High Atlas Mountains (Morocco) from geological and gravity data

    Science.gov (United States)

    Ayarza, P.; Alvarez-Lobato, F.; Teixell, A.; Arboleya, M. L.; Tesón, E.; Julivert, M.; Charroud, M.

    2005-05-01

    Seismic wide angle and receiver function results together with geological data have been used as constraints to build a gravity-based crustal model of the central High Atlas of Morocco. Integration of a newly acquired set of gravity values with public data allowed us to undertake 2-2.5D gravity modelling along two profiles that cross the entire mountain chain. Modelling suggests moderate crustal thickening, and a general state of Airy isostatic undercompensation. Localized thickening appears restricted to the vicinity of a north-dipping crustal-scale thrust fault, that offsets the Moho discontinuity and defines a small crustal root which accounts for the minimum Bouguer gravity anomaly values. Gravity modelling indicates that this root has a northeasterly strike, slightly oblique to the ENE general orientation of the High Atlas belt. A consequence of the obliquity between the High Atlas borders and its internal and deep structure is the lack of correlation between Bouguer gravity anomaly values and topography. Active buckling affecting the crust, a highly elevated asthenosphere, or a combination of both are addressed as side mechanisms that help to maintain the high elevations of the Atlas mountains.

  14. Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation

    International Nuclear Information System (INIS)

    Tian Bo; Wei Guangmei; Zhang Chunyi; Shan Wenrui; Gao Yitian

    2006-01-01

    The variable-coefficient Korteweg-de Vries (KdV)-typed models, although often hard to be studied, are of current interest in describing various real situations. Under investigation hereby is a large class of the generalized variable-coefficient KdV models with external-force and perturbed/dissipative terms. Recent examples of this class include those in blood vessels and circulatory system, arterial dynamics, trapped Bose-Einstein condensates related to matter waves and nonlinear atom optics, Bose gas of impenetrable bosons with longitudinal confinement, rods of compressible hyperelastic material and semiconductor heterostructures with positonic phenomena. In this Letter, based on symbolic computation, four transformations are proposed from this class either to the cylindrical or standard KdV equation when the respective constraint holds. The constraints have nothing to do with the external-force term. Under those transformations, such analytic solutions as those with the Airy, Hermit and Jacobian elliptic functions can be obtained, including the solitonic profiles. The roles for the perturbed and external-force terms to play are observed and discussed. Investigations on this class can be performed through the properties of solutions of cylindrical and standard KdV equations

  15. Tectonics and Non-isostatic Topography of the Mariana Trench and Adjacent Plates

    Science.gov (United States)

    Hongyu, L.; Lin, J.; Zhou, Z.; Zhang, F.

    2017-12-01

    Multi-types of geophysical data including multibeam bathymetry, sediment thickness, gravity anomaly, and crustal magnetic age were analyzed to investigate tectonic processes of the Mariana Trench and the surrounding plates. We calculated non-Airy-isostatic topography by removing from the observed bathymetry the effects of sediment loading, thermal subsidence, and Airy local isostatically-compensated topography. The Mariana Trench was found to be associated with a clearly defined zone of negative non-isostatic topography, which was caused by flexural bending of the subducting Pacific plate and with the maximum depth anomaly and flexural bending near the Challenger Deep. In contrast, the Caroline Ridge and Caroline Islands Chain have much more subdued non-isostatic topography, indicating their higher topography is largely compensated by thicker crust. Along the Mariana Trough, the northern and central segments appear to be associated with relatively low magma supply as indicated by the relatively low topography and thin crust. In contrast, the southern Mariana Trough is associated with relatively high magma supply as indicated by the relatively high and smoother topography, an axial high spreading center, and relatively thick crust. The southern end of the Mariana Trough was also found to be associated with positive non-isostatic topographic anomaly, which might be caused by the complex tectonic deformation of the overriding Mariana and Philippine Sea plates and their interaction with the subducting Pacific plate. Analysis further revealed that the southern Mariana Arc, located between the Mariana Trench and Mariana Trough, is associated with positive non-isostatic topographic anomalies, which may be explained by the late stage magmatic loading on the older and thus stronger lithospheric plate of the Mariana volcanic arc.

  16. 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

  17. Pilk maestro Neeme Järvi muusikalisse loometöösse / Airi Vaga

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2006-01-01

    kohtumisest New Jersey Symphony Orchestra mängijate ja dirigendiga 13. jaanuaril 2006 Newarkis, kus tutvustati sümfooniaorkestri 2006 - 2007. aasta programmi ning räägiti tööst Beethoveni 9. sümfoonia ettevalmistamisel kontserdiks. Tunti muret noorte muusikakasvatuse ühekülgse arengu pärast

  18. 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

  19. Time functions function best as functions of multiple times

    NARCIS (Netherlands)

    Desain, P.; Honing, H.

    1992-01-01

    This article presents an elegant way of representing control functions at an abstractlevel. It introduces time functions that have multiple times as arguments. In this waythe generalized concept of a time function can support absolute and relative kinds of time behavior. Furthermore the

  20. Obtención de energía de las olas empleando materiales piezoeléctricos

    OpenAIRE

    González Díaz, Mario

    2017-01-01

    RESUMEN: En este trabajo se estimará la viabilidad de algunos sistemas, basados en el empleo de materiales piezoeléctricos, para la obtención de energía de las olas. Se calculará la energía obtenida con un modelo matemático para calcular la carga y voltaje generados en los elementos piezoeléctricos al interaccionar con las olas, teniendo en cuenta las teorías clásicas de elasticidad mecánica, la teoría lineal de Airy para las olas, el circuito eléctrico y una descripción fenomenológica del ef...

  1. The attitude of American Lithuanians towards other immigrants of the late 19th and early 20th centuries

    OpenAIRE

    Navickaitė, Marija

    2016-01-01

    XIX a. pabaigoje į JA V emigravę lietuviai tampa daugiatautės visuomenės dalimi. Lietuviai kuriasi šalia lenkų, italų, slovakų, žydų bei ukrainiečių (rusinų), atvykusieji jau randa šaknis įleidusias ir senųjų imigrantų – britų, airių, vokiečių, olandų – bendruomenes. Su visomis šiomis skirtingomis etninėmis grupėmis mezgasi kontaktai, kurie geriausiai atsispindi to laikotarpio Amerikos lietuvių periodinėje spaudoje. Šiame straipsnyje bandoma atskleisti JA V lietuvių santykius bei požiūrį į ki...

  2. Desert Testing of Military Materiel.

    Science.gov (United States)

    1981-08-01

    ria’ he I’ilrrts’ tar long Periord,, eseil’ fticn o% cred bV humi111d air ott (tic (tif of Miexico if no ss leis ’irisrng uplift ot thai tiurild air...I lic ’Aaa etni; -e t W. li lic ’ n- -mmititmi i’.o. pim ) protile A ithuin a region. It rvti he vithtr greIs ot A- .n -Nro ,!, ’ill 111itt Ic ,ic Int...ditions) or cross-countrN itr ott the htigltu~is I road-load cottdiiiotist. An tru ;iesie,mddiion it a.h i operaiton Is that amphtbious sehiclcs, such as

  3. Wave-function functionals for the density

    International Nuclear Information System (INIS)

    Slamet, Marlina; Pan Xiaoyin; Sahni, Viraht

    2011-01-01

    We extend the idea of the constrained-search variational method for the construction of wave-function functionals ψ[χ] of functions χ. The search is constrained to those functions χ such that ψ[χ] reproduces the density ρ(r) while simultaneously leading to an upper bound to the energy. The functionals are thereby normalized and automatically satisfy the electron-nucleus coalescence condition. The functionals ψ[χ] are also constructed to satisfy the electron-electron coalescence condition. The method is applied to the ground state of the helium atom to construct functionals ψ[χ] that reproduce the density as given by the Kinoshita correlated wave function. The expectation of single-particle operators W=Σ i r i n , n=-2,-1,1,2, W=Σ i δ(r i ) are exact, as must be the case. The expectations of the kinetic energy operator W=-(1/2)Σ i ∇ i 2 , the two-particle operators W=Σ n u n , n=-2,-1,1,2, where u=|r i -r j |, and the energy are accurate. We note that the construction of such functionals ψ[χ] is an application of the Levy-Lieb constrained-search definition of density functional theory. It is thereby possible to rigorously determine which functional ψ[χ] is closer to the true wave function.

  4. How is the artist role affected when artists are participating in projects in work life?

    Science.gov (United States)

    Stenberg, Henrik

    2016-01-01

    In Sweden, during the last decade, the artist has come to function as a creative resource in workplaces. There are two organisations, Skiss (Contemporary Artist in the Contemporary Society) and Airis (Artist in Residence), that organise projects for artists and coworkers. These projects are intended to have a positive effect on the well-being of organisations and their employees through artistic means, and the artist often focuses on the social interaction between the employees in their work. The artists' work involves frequent interaction with coworkers. The aim of this article was to describe how visual artists' roles as artists are affected by their engagement in artistic and social projects at workplaces in Sweden. The focus in the article is on the social interaction between artists and employees. The study is a qualitative narrative interview study with fine artists participating in different projects in work life. Since the artist's intervention is usually directed towards social relations in the workplaces, a social perspective on well-being is from a micro-sociological point of view. The categories in the interviews were how the artists worked with the projects, how the social interaction between artists and coworkers worked out, and how the artists evaluated the projects in relation to their ambitions. The results show that, many times, the artistic projects promote well-being in organisations and to some extent benefit the artist, but that the ability of the artists to actually function as artists can be problematic.

  5. Nonlocal kinetic energy functionals by functional integration

    Science.gov (United States)

    Mi, Wenhui; Genova, Alessandro; Pavanello, Michele

    2018-05-01

    Since the seminal studies of Thomas and Fermi, researchers in the Density-Functional Theory (DFT) community are searching for accurate electron density functionals. Arguably, the toughest functional to approximate is the noninteracting kinetic energy, Ts[ρ], the subject of this work. The typical paradigm is to first approximate the energy functional and then take its functional derivative, δ/Ts[ρ ] δ ρ (r ) , yielding a potential that can be used in orbital-free DFT or subsystem DFT simulations. Here, this paradigm is challenged by constructing the potential from the second-functional derivative via functional integration. A new nonlocal functional for Ts[ρ] is prescribed [which we dub Mi-Genova-Pavanello (MGP)] having a density independent kernel. MGP is constructed to satisfy three exact conditions: (1) a nonzero "Kinetic electron" arising from a nonzero exchange hole; (2) the second functional derivative must reduce to the inverse Lindhard function in the limit of homogenous densities; (3) the potential is derived from functional integration of the second functional derivative. Pilot calculations show that MGP is capable of reproducing accurate equilibrium volumes, bulk moduli, total energy, and electron densities for metallic (body-centered cubic, face-centered cubic) and semiconducting (crystal diamond) phases of silicon as well as of III-V semiconductors. The MGP functional is found to be numerically stable typically reaching self-consistency within 12 iterations of a truncated Newton minimization algorithm. MGP's computational cost and memory requirements are low and comparable to the Wang-Teter nonlocal functional or any generalized gradient approximation functional.

  6. 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.

  7. Nondispersive Wave Packets.

    Science.gov (United States)

    Shaarawi, Amr Mohamed

    In this work, nondispersive wavepacket solutions to linear partial differential equations are investigated. These solutions are characterized by infinite energy content; otherwise they are continuous, nonsingular and propagate in free space without spreading out. Examples of such solutions are Berry and Balazs' Airy packet, MacKinnon's wave packet and Brittingham's Focus Wave Mode (FWM). It is demonstrated in this thesis that the infinite energy content is not a basic problem per se and that it can be dealt with in two distinct ways. First these wave packets can be used as bases to construct highly localized, slowly decaying, time-limited pulsed solutions. In the case of the FWMs, this path leads to the formulation of the bidirectional representation, a technique that provides the most natural basis for synthesizing Brittingham-like solutions. This representation is used to derive new exact solutions to the 3-D scalar wave equation. It is also applied to problems involving boundaries, in particular to the propagation of a localized pulse in a infinite acoustic waveguide and to the launchability of such a pulse from the opening of a semi-infinite waveguide. The second approach in dealing with the infinite energy content utilizes the bump-like structure of nondispersive solutions. With an appropriate choice of parameters, these bump fields have very large amplitudes around the centers, in comparison to their tails. In particular, the FWM solutions are used to model massless particles and are capable of providing an interesting interpretation to the results of Young's two slit experiment and to the wave-particle duality of light. The bidirectional representation provides, also, a systematic way of deriving packet solutions to the Klein-Gordon, the Schrodinger and the Dirac equations. Nondispersive solutions of the former two equations are compared to previously derived ones, e.g., the Airy packet and MacKinnon's wave packet.

  8. The Relationships between Weight Functions, Geometric Functions,and Compliance Functions in Linear Elastic Fracture Mechanics

    Energy Technology Data Exchange (ETDEWEB)

    Yuan, Rong [Univ. of California, Berkeley, CA (United States)

    2007-01-01

    Linear elastic fracture mechanics is widely used in industry because it established simple and explicit relationships between the permissible loading conditions and the critical crack size that is allowed in a structure. Stress intensity factors are the above-mentioned functional expressions that relate load with crack size through geometric functions or weight functions. Compliance functions are to determine the crack/flaw size in a structure when optical inspection is inconvenient. As a result, geometric functions, weight functions and compliance functions have been intensively studied to determine the stress intensity factor expressions for different geometries. However, the relations between these functions have received less attention. This work is therefore to investigate the intrinsic relationships between these functions. Theoretical derivation was carried out and the results were verified on single-edge cracked plate under tension and bending. It is found out that the geometric function is essentially the non-dimensional weight function at the loading point. The compliance function is composed of two parts: a varying part due to crack extension and a constant part from the intact structure if no crack exists. The derivative of the compliance function at any location is the product of the geometric function and the weight function at the evaluation point. Inversely, the compliance function can be acquired by the integration of the product of the geometric function and the weight function with respect to the crack size. The integral constant is just the unchanging compliance from the intact structure. Consequently, a special application of the relations is to obtain the compliance functions along a crack once the geometric function and weight functions are known. Any of the three special functions can be derived once the other two functions are known. These relations may greatly simplify the numerical process in obtaining either geometric functions, weight

  9. Resolution of potential ambiguities through farside angular structure: Semiclassical analysis

    International Nuclear Information System (INIS)

    Fricke, S.H.; Brandan, M.E.; McVoy, K.W.

    1988-01-01

    The optical potential fits summarized in the preceding paper are subjected to a semiclassical analysis of the Ford-Wheeler--Knoll-Schaeffer type. The important broad dips in their farside cross sections, which are essential in greatly reducing potential ambiguities, are found (in partial agreement with a suggestion of Goldberg's) to be mainly weak ''Airy'' or rainbow minima, that serve to identify deeply penetrating trajectories. The semiclassical analysis also permits the identification and understanding of a new category of discrete and continuous potential ambiguities, and suggests the manner in which specific features of the angular distributions (such as spacings and depths of various angular minima) determine the Woods-Saxon parameters found by a chi-squared search

  10. Method to mosaic gratings that relies on analysis of far-field intensity patterns in two wavelengths

    Science.gov (United States)

    Hu, Yao; Zeng, Lijiang; Li, Lifeng

    2007-01-01

    We propose an experimental method to coherently mosaic two planar diffraction gratings. The method uses a Twyman-Green interferometer to guarantee the planar parallelism of the two sub-aperture gratings, and obtains the in-plane rotational error and the two translational errors from analysis of the far-field diffraction intensity patterns in two alignment wavelengths. We adjust the relative attitude and position of the two sub-aperture gratings to produce Airy disk diffraction patterns in both wavelengths. In our experiment, the repeatability of in-plane rotation adjustment was 2.35 μrad and that of longitudinal adjustment was 0.11 μm. The accuracy of lateral adjustment was about 2.9% of the grating period.

  11. Wavelet-based tracking of bacteria in unreconstructed off-axis holograms.

    Science.gov (United States)

    Marin, Zach; Wallace, J Kent; Nadeau, Jay; Khalil, Andre

    2018-03-01

    We propose an automated wavelet-based method of tracking particles in unreconstructed off-axis holograms to provide rough estimates of the presence of motion and particle trajectories in digital holographic microscopy (DHM) time series. The wavelet transform modulus maxima segmentation method is adapted and tailored to extract Airy-like diffraction disks, which represent bacteria, from DHM time series. In this exploratory analysis, the method shows potential for estimating bacterial tracks in low-particle-density time series, based on a preliminary analysis of both living and dead Serratia marcescens, and for rapidly providing a single-bit answer to whether a sample chamber contains living or dead microbes or is empty. Copyright © 2017 Elsevier Inc. All rights reserved.

  12. Max Weber Visits America: A Review of the Video

    Directory of Open Access Journals (Sweden)

    Michael Wise

    2006-11-01

    Full Text Available The North Carolina Sociological Society is proud to announce the long-awaited video of Max Weber's trip to North Carolina as retold by two of his cousins. Max Weber made a trip to visit relatives in Mount Airy, North Carolina, in 1904. This 2004 narrative by Larry Keeter and Stephen Hall is the story of locating and interviewing two living eyewitnesses (1976 to Max Weber's trip. The video includes information about Weber's contributions to modern sociology. Dowloadable files are provided using the .mp4 format. The video should appeal to students and professors interested in Max Weber. It can be included in courses ranging from introductory sociology to theory.

  13. Resummed coefficient function for the shape function

    OpenAIRE

    Aglietti, U.

    2001-01-01

    We present a leading evaluation of the resummed coefficient function for the shape function. It is also shown that the coefficient function is short-distance-dominated. Our results allow relating the shape function computed on the lattice to the physical QCD distributions.

  14. 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.

  15. 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

  16. 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

  17. 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.

  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. Acoustic radiation force induced by two Airy-Gaussian beams on a cylindrical particle

    Science.gov (United States)

    Gao, Sha; Mao, Yiwei; Liu, Jiehui; Liu, Xiaozhou

    2018-01-01

    Not Available Project supported by the National Key R & D Program, China (Grant No. 2016YFF0203000), the National Natural Science Foundation of China (Grant Nos. 11774167 and 61571222), Fundamental Research Funds for the Central Universities, China (Grant No. 020414380001), State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201609), and AQSIQ Technology R & D Program, China (Grant No. 2017QK125).

  20. Alkohol ja uimastid köidavad teismelisi järjest nooremalt / Airi Ilisson

    Index Scriptorium Estoniae

    Ilisson, Airi, 1980-

    2004-01-01

    Eelmisel aastal Eesti koolides korraldatud uuringu kohaselt on noorte seas populaarsed kange alkohol ja kanep. Järjest enam tarvitavad mõnuaineid tütarlapsed. Tallinna Pedagoogikaülikooli rahvusvaheliste ja sotsiaaluuringute instituudi teadur A.-A. Allaste kommenteerib instituudi korraldatud uuringut noorte uimastitarbimisest. Lisaks joonis: Õpilaste uimastitarvitamine

  1. Generalized functions

    CERN Document Server

    Gelfand, I M; Graev, M I; Vilenkin, N Y; Pyatetskii-Shapiro, I I

    Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains main definitions and most important properties of generalized functions as functional on the space of smooth functions with compact support. The second chapter talks about the Fourier transform of generalized functions. In Chapter 3, definitions and properties of some important classes of generalized functions are discussed; in particular, generalized functions supported on submanifolds of lower dimension, generalized functions associated with quadratic forms, and homogeneous generalized functions are studied in detail. Many simple basic examples make this book an excellent place for a novice to get acquainted with the theory of generalized functions. A long appendix presents basics of generalized functions of complex variables.

  2. From functional architecture to functional connectomics.

    Science.gov (United States)

    Reid, R Clay

    2012-07-26

    "Receptive Fields, Binocular Interaction and Functional Architecture in the Cat's Visual Cortex" by Hubel and Wiesel (1962) reported several important discoveries: orientation columns, the distinct structures of simple and complex receptive fields, and binocular integration. But perhaps the paper's greatest influence came from the concept of functional architecture (the complex relationship between in vivo physiology and the spatial arrangement of neurons) and several models of functionally specific connectivity. They thus identified two distinct concepts, topographic specificity and functional specificity, which together with cell-type specificity constitute the major determinants of nonrandom cortical connectivity. Orientation columns are iconic examples of topographic specificity, whereby axons within a column connect with cells of a single orientation preference. Hubel and Wiesel also saw the need for functional specificity at a finer scale in their model of thalamic inputs to simple cells, verified in the 1990s. The difficult but potentially more important question of functional specificity between cortical neurons is only now becoming tractable with new experimental techniques. Copyright © 2012 Elsevier Inc. All rights reserved.

  3. Functional hepatocellular regeneration measured by hepatobiliary scintigraphy, functional regeneration or functional hepatocytes?

    NARCIS (Netherlands)

    Olthof, Pim B.; Cieslak, Kasia P.; Bennink, Roelof J.; van Gulik, Thomas M.

    2016-01-01

    In a recent issue of this journal, Fernandes et al(1) reported on functional hepatocellular regeneration in elderly patients undergoing hepatectomy. They used (99m) Tc-mebrofinin HBS to quantify liver function before and after surgery and concluded that functional regeneration is already present at

  4. Functional equation for the Mordell-Tornheim multiple zeta-function

    OpenAIRE

    Okamoto, Takuya; Onozuka, Tomokazu

    2016-01-01

    We show a relation between the Mordell-Tornheim multiple zeta-function and the confluent hypergeometric function, and using it, we give the functional equation for the Mordell-Tornheim multiple zeta-function. In the double case, the functional equation includes the known functional equation for the Euler-Zagier double zeta-function.

  5. Variational functionals which admit discontinuous trial functions

    International Nuclear Information System (INIS)

    Nelson, P. Jr.

    1975-01-01

    It is argued that variational synthesis with discontinuous trial functions requires variational principles applicable to equations involving operators acting between distinct Hilbert spaces. A description is given of a Roussopoulos-type variational principle generalized to cover this situation. This principle is suggested as the basis for a unified approach to the derivation of variational functionals. In addition to esthetics, this approach has the advantage that the mathematical details increase the understanding of the derived functional, particularly the sense in which a synthesized solution should be regarded as an approximation to the true solution. By way of illustration, the generalized Roussopoulos principle is applied to derive a class of first-order diffusion functionals which admit trial functions containing approximations at an interface. These ''asymptotic'' interface quantities are independent of the limiting approximations from either side and permit use of different trial spectra at and on either side of an interface. The class of functionals derived contains as special cases both the Lagrange multiplier method of Buslik and two functionals of Lambropoulos and Luco. Some numerical results for a simple two-group model confirm that the ''multipliers'' can closely approximate the appropriate quantity in the region near an interface. (U.S.)

  6. Accommodation in human eye models: a comparison between the optical designs of Navarro, Arizona and Liou-Brennan.

    Science.gov (United States)

    Zoulinakis, Georgios; Esteve-Taboada, Jose Juan; Ferrer-Blasco, Teresa; Madrid-Costa, David; Montés-Micó, Robert

    2017-01-01

    To simulate and compare accommodation in accommodative and non-accommodative human eye models. Ray tracing and optical design program was used. Three eye models were designed and studied: the Navarro, the Arizona and the Liou-Brennan. In order to make the Navarro and Liou-Brennan models to accommodate, specific geometric parameters of the models were altered with values that were chosen from the literature. For the Arizona model, its' mathematical functions for accommodation were used for the same accommodative demands. The simulation included four distances of accommodation for each model: at infinity, 3, 1 and 0.5 m.The results were diffraction images of a "letter F" for graphical comparison, spot diagrams on the retinal field and Modulation Transfer Function (MTF) graphs. Zernike coefficients for the aberrations, Airy disk diameter, root mean square (RMS) error diameter and total axial length of the model were provided from the program. These were compared between them in all distances. The Navarro model had the smallest axial length change as a simple model. The Arizona did not change its axial length because it is designed to be accommodative. The Liou-Brennan model had different results concerning the aberrations because of the decentration of the pupil. The MTF graphs showed small differences between the models because of the differences in their designs. All the three models are able to simulate accommodation with the expected results. There is no model that can be assumed as the best choice. Accommodation can be simulated in non-accommodativemodels and in customized ones.

  7. Comparisons of power transfer functions and flow transfer functions

    International Nuclear Information System (INIS)

    Grimm, K.N.; Meneghetti, D.

    1987-01-01

    Transfer functions may be used to calculate component feedbacks or temperature increments by convolution of the transfer function with the appropriate fractional change in system-quantity. Power-change transfer functions have been reported. The corresponding flow transfer functions for this case, and comparison with the power transfer functions, are reported here. Results of feedback simulation of ramped flow transients using flow transfer functions are also described

  8. Properties of field functionals and characterization of local functionals

    Science.gov (United States)

    Brouder, Christian; Dang, Nguyen Viet; Laurent-Gengoux, Camille; Rejzner, Kasia

    2018-02-01

    Functionals (i.e., functions of functions) are widely used in quantum field theory and solid-state physics. In this paper, functionals are given a rigorous mathematical framework and their main properties are described. The choice of the proper space of test functions (smooth functions) and of the relevant concept of differential (Bastiani differential) are discussed. The relation between the multiple derivatives of a functional and the corresponding distributions is described in detail. It is proved that, in a neighborhood of every test function, the support of a smooth functional is uniformly compactly supported and the order of the corresponding distribution is uniformly bounded. Relying on a recent work by Dabrowski, several spaces of functionals are furnished with a complete and nuclear topology. In view of physical applications, it is shown that most formal manipulations can be given a rigorous meaning. A new concept of local functionals is proposed and two characterizations of them are given: the first one uses the additivity (or Hammerstein) property, the second one is a variant of Peetre's theorem. Finally, the first step of a cohomological approach to quantum field theory is carried out by proving a global Poincaré lemma and defining multi-vector fields and graded functionals within our framework.

  9. 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.

  10. Laplace and the era of differential equations

    Science.gov (United States)

    Weinberger, Peter

    2012-11-01

    Between about 1790 and 1850 French mathematicians dominated not only mathematics, but also all other sciences. The belief that a particular physical phenomenon has to correspond to a single differential equation originates from the enormous influence Laplace and his contemporary compatriots had in all European learned circles. It will be shown that at the beginning of the nineteenth century Newton's "fluxionary calculus" finally gave way to a French-type notation of handling differential equations. A heated dispute in the Philosophical Magazine between Challis, Airy and Stokes, all three of them famous Cambridge professors of mathematics, then serves to illustrate the era of differential equations. A remark about Schrödinger and his equation for the hydrogen atom finally will lead back to present times.

  11. Rough solutions for the periodic Schrödinger-Korteweg-de Vries system

    Science.gov (United States)

    Arbieto, A.; Corcho, A. J.; Matheus, C.

    We prove two new mixed sharp bilinear estimates of Schrödinger-Airy type. In particular, we obtain the local well-posedness of the Cauchy problem of the Schrödinger-Kortweg-de Vries (NLS-KdV) system in the periodic setting. Our lowest regularity is H×L, which is somewhat far from the naturally expected endpoint L×H. This is a novel phenomena related to the periodicity condition. Indeed, in the continuous case, Corcho and Linares proved local well-posedness for the natural endpoint L×H. Nevertheless, we conclude the global well-posedness of the NLS-KdV system in the energy space H×H using our local well-posedness result and three conservation laws discovered by M. Tsutsumi.

  12. Study of a coronagraphic mask using evanescent waves.

    Science.gov (United States)

    Buisset, Christophe; Rabbia, Yves; Lepine, Thierry; Alagao, Mary-Angelie; Ducrot, Elsa; Poshyachinda, Saran; Soonthornthum, Boonrucksar

    2017-04-03

    The evanescent wave coronagraph (EvWaCo) is a specific kind of band-limited coronagraph using the frustrated total internal reflection phenomenon to produce the coronagraphic effect (removing starlight from the image plane in order to make the stellar environment detectable). In this paper, we present a theoretical and experimental study of the EvWaCo coronagraphic mask. First, we calculate the theoretical transmission and we show that this mask is partially achromatic. Then, we present the experimental results obtained in unpolarized light at the wavelength λ≈900 nm and relative spectral bandwidth Δλ/λ≈6%. In particular, we show that the coronagraph provides a contrast down to a few 10-6 at an angular distance of about ten Airy radii.

  13. A functional RG equation for the c-function

    DEFF Research Database (Denmark)

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

    2014-01-01

    , 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...... to use heat kernel techniques to compute the RG running of the c-function....

  14. Normal Functions As A New Way Of Defining Computable Functions

    Directory of Open Access Journals (Sweden)

    Leszek Dubiel

    2004-01-01

    Full Text Available Report sets new method of defining computable functions. This is formalization of traditional function descriptions, so it allows to define functions in very intuitive way. Discovery of Ackermann function proved that not all functions that can be easily computed can be so easily described with Hilbert’s system of recursive functions. Normal functions lack this disadvantage.

  15. Normal Functions as a New Way of Defining Computable Functions

    Directory of Open Access Journals (Sweden)

    Leszek Dubiel

    2004-01-01

    Full Text Available Report sets new method of defining computable functions. This is formalization of traditional function descriptions, so it allows to define functions in very intuitive way. Discovery of Ackermann function proved that not all functions that can be easily computed can be so easily described with Hilbert's system of recursive functions. Normal functions lack this disadvantage.

  16. 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...

  17. Orbit Functions

    Directory of Open Access Journals (Sweden)

    Anatoliy Klimyk

    2006-01-01

    Full Text Available In the paper, properties of orbit functions are reviewed and further developed. Orbit functions on the Euclidean space E_n are symmetrized exponential functions. The symmetrization is fulfilled by a Weyl group corresponding to a Coxeter-Dynkin diagram. Properties of such functions will be described. An orbit function is the contribution to an irreducible character of a compact semisimple Lie group G of rank n from one of its Weyl group orbits. It is shown that values of 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. Orbit functions are solutions of the corresponding Laplace equation in E_n, satisfying the Neumann condition on the boundary of F. Orbit functions determine a symmetrized Fourier transform and a transform on a finite set of points.

  18. Generalizations of Z-supercontinuous functions and Dδ-supercontinuous functions

    Directory of Open Access Journals (Sweden)

    J.K. Kohli

    2008-10-01

    Full Text Available Two new classes of functions, called ‘almost z-supercontinuous functions’ and ’almost Dδ-supercontinuous functions’ are introduced. The class of almost z-supercontinuous functions properly includes the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33(7, (2002, 1097-1108 as well as the class of almost clopen maps due to Ekici (Acta. Math. Hungar. 107(3, (2005, 193-206 and is properly contained in the class of almost Dδ-supercontinuous functions which in turn constitutes a proper subclass of the class of almost strongly θ-continuous functions due to Noiri and Kang (Indian J. Pure Appl. Math. 15(1, (1984, 1-8 and which in its turn include all δ-continuous functions of Noiri (J. Korean Math. Soc. 16 (1980, 161-166. Characterizations and basic properties of almost z-supercontinuous functions and almost Dδ-supercontinuous functions are discussed and their place in the hierarchy of variants of continuity is elaborated. Moreover, properties of almost strongly θ-continuous functions are investigated and sufficient conditions for almost strongly θ-continuous functions to have u θ-closed (θ-closed graph are formulated.

  19. Functional bowel disorders and functional abdominal pain

    OpenAIRE

    Thompson, W; Longstreth, G; Drossman, D; Heaton, K; Irvine, E; Muller-Lissner, S

    1999-01-01

    The Rome diagnostic criteria for the functional bowel disorders and functional abdominal pain are used widely in research and practice. A committee consensus approach, including criticism from multinational expert reviewers, was used to revise the diagnostic criteria and update diagnosis and treatment recommendations, based on research results. The terminology was clarified and the diagnostic criteria and management recommendations were revised. A functional bowel disorder (FBD) is diagnosed ...

  20. Cell functional enviromics: Unravelling the function of environmental factors

    Directory of Open Access Journals (Sweden)

    Alves Paula M

    2011-06-01

    Full Text Available Abstract Background While functional genomics, focused on gene functions and gene-gene interactions, has become a very active field of research in molecular biology, equivalent methodologies embracing the environment and gene-environment interactions are relatively less developed. Understanding the function of environmental factors is, however, of paramount importance given the complex, interactive nature of environmental and genetic factors across multiple time scales. Results Here, we propose a systems biology framework, where the function of environmental factors is set at its core. We set forth a "reverse" functional analysis approach, whereby cellular functions are reconstructed from the analysis of dynamic envirome data. Our results show these data sets can be mapped to less than 20 core cellular functions in a typical mammalian cell culture, while explaining over 90% of flux data variance. A functional enviromics map can be created, which provides a template for manipulating the environmental factors to induce a desired phenotypic trait. Conclusion Our results support the feasibility of cellular function reconstruction guided by the analysis and manipulation of dynamic envirome data.

  1. Microbial Functional Gene Diversity Predicts Groundwater Contamination and Ecosystem Functioning.

    Science.gov (United States)

    He, Zhili; Zhang, Ping; Wu, Linwei; Rocha, Andrea M; Tu, Qichao; Shi, Zhou; Wu, Bo; Qin, Yujia; Wang, Jianjun; Yan, Qingyun; Curtis, Daniel; Ning, Daliang; Van Nostrand, Joy D; Wu, Liyou; Yang, Yunfeng; Elias, Dwayne A; Watson, David B; Adams, Michael W W; Fields, Matthew W; Alm, Eric J; Hazen, Terry C; Adams, Paul D; Arkin, Adam P; Zhou, Jizhong

    2018-02-20

    Contamination from anthropogenic activities has significantly impacted Earth's biosphere. However, knowledge about how environmental contamination affects the biodiversity of groundwater microbiomes and ecosystem functioning remains very limited. Here, we used a comprehensive functional gene array to analyze groundwater microbiomes from 69 wells at the Oak Ridge Field Research Center (Oak Ridge, TN), representing a wide pH range and uranium, nitrate, and other contaminants. We hypothesized that the functional diversity of groundwater microbiomes would decrease as environmental contamination (e.g., uranium or nitrate) increased or at low or high pH, while some specific populations capable of utilizing or resistant to those contaminants would increase, and thus, such key microbial functional genes and/or populations could be used to predict groundwater contamination and ecosystem functioning. Our results indicated that functional richness/diversity decreased as uranium (but not nitrate) increased in groundwater. In addition, about 5.9% of specific key functional populations targeted by a comprehensive functional gene array (GeoChip 5) increased significantly ( P contamination and ecosystem functioning. This study indicates great potential for using microbial functional genes to predict environmental contamination and ecosystem functioning. IMPORTANCE Disentangling the relationships between biodiversity and ecosystem functioning is an important but poorly understood topic in ecology. Predicting ecosystem functioning on the basis of biodiversity is even more difficult, particularly with microbial biomarkers. As an exploratory effort, this study used key microbial functional genes as biomarkers to provide predictive understanding of environmental contamination and ecosystem functioning. The results indicated that the overall functional gene richness/diversity decreased as uranium increased in groundwater, while specific key microbial guilds increased significantly as

  2. Logarithmically completely monotonic functions involving the Generalized Gamma Function

    OpenAIRE

    Faton Merovci; Valmir Krasniqi

    2010-01-01

    By a simple approach, two classes of functions involving generalization Euler's gamma function and originating from certain  problems of traffic flow are proved to be logarithmically  completely monotonic and a class of functions involving the psi function is showed to be completely monotonic.

  3. Zero sequences of holomorphic functions, representation of meromorphic functions. II. Entire functions

    International Nuclear Information System (INIS)

    Khabibullin, Bulat N

    2009-01-01

    Let Λ={λ k } be a sequence of points in the complex plane C and f a non-trivial entire function of finite order ρ and finite type σ such that f=0 on Λ. Upper bounds for functions such as the Weierstrass-Hadamard canonical product of order ρ constructed from the sequence Λ are obtained. Similar bounds for meromorphic functions are also derived. These results are used to estimate the radius of completeness of a system of exponentials in C. Bibliography: 26 titles.

  4. Logarithmically completely monotonic functions involving the Generalized Gamma Function

    Directory of Open Access Journals (Sweden)

    Faton Merovci

    2010-12-01

    Full Text Available By a simple approach, two classes of functions involving generalization Euler's gamma function and originating from certain  problems of traffic flow are proved to be logarithmically  completely monotonic and a class of functions involving the psi function is showed to be completely monotonic.

  5. Functional asynchronous networks: Factorization of dynamics and function

    Directory of Open Access Journals (Sweden)

    Bick Christian

    2016-01-01

    Full Text Available In this note we describe the theory of functional asynchronous networks and one of the main results, the Modularization of Dynamics Theorem, which for a large class of functional asynchronous networks gives a factorization of dynamics in terms of constituent subnetworks. For these networks we can give a complete description of the network function in terms of the function of the events comprising the network and thereby answer a question originally raised by Alon in the context of biological networks.

  6. 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....

  7. 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....

  8. Thyroid Function Tests

    Science.gov (United States)

    ... Home » Thyroid Function Tests Leer en Español Thyroid Function Tests FUNCTION HOW DOES THE THYROID GLAND FUNCTION? ... Cancer Thyroid Nodules in Children and Adolescents Thyroid Function Tests Resources Thyroid Function Tests Brochure PDF En ...

  9. Proof-of-principle functionals for the shape function

    International Nuclear Information System (INIS)

    Ayers, Paul W.

    2005-01-01

    Recently, it has been shown that the density per particle, or shape function, determines all the properties of molecules and, more generally, finite Coulomb systems (e.g., clusters). Here, we provide numerical evidence for this 'existence' theorem, showing that atomic properties (specifically the kinetic energy and exchange energy) have simple approximate expressions in terms of the shape function. While the accuracy of our results is limited, this provides 'proof-of-principle' evidence that shape-functional theory represents an alternative to density-functional theory for finite Coulomb systems

  10. 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...

  11. ERF/ERFC, Calculation of Error Function, Complementary Error Function, Probability Integrals

    International Nuclear Information System (INIS)

    Vogel, J.E.

    1983-01-01

    1 - Description of problem or function: ERF and ERFC are used to compute values of the error function and complementary error function for any real number. They may be used to compute other related functions such as the normal probability integrals. 4. Method of solution: The error function and complementary error function are approximated by rational functions. Three such rational approximations are used depending on whether - x .GE.4.0. In the first region the error function is computed directly and the complementary error function is computed via the identity erfc(x)=1.0-erf(x). In the other two regions the complementary error function is computed directly and the error function is computed from the identity erf(x)=1.0-erfc(x). The error function and complementary error function are real-valued functions of any real argument. The range of the error function is (-1,1). The range of the complementary error function is (0,2). 5. Restrictions on the complexity of the problem: The user is cautioned against using ERF to compute the complementary error function by using the identity erfc(x)=1.0-erf(x). This subtraction may cause partial or total loss of significance for certain values of x

  12. The Interpretive Function

    DEFF Research Database (Denmark)

    Agerbo, Heidi

    2017-01-01

    Approximately a decade ago, it was suggested that a new function should be added to the lexicographical function theory: the interpretive function(1). However, hardly any research has been conducted into this function, and though it was only suggested that this new function was relevant...... to incorporate into lexicographical theory, some scholars have since then assumed that this function exists(2), including the author of this contribution. In Agerbo (2016), I present arguments supporting the incorporation of the interpretive function into the function theory and suggest how non-linguistic signs...... can be treated in specific dictionary articles. However, in the current article, due to the results of recent research, I argue that the interpretive function should not be considered an individual main function. The interpretive function, contrary to some of its definitions, is not connected...

  13. Functional displays

    International Nuclear Information System (INIS)

    Angelis De, F.; Haentjens, J.

    1995-01-01

    The Functional Displays are directly derived from the Man-Machine Design key document: Function-Based Task Analysis. The presentation defines and describes the goals-means structure of the plant function along with applicable control volumes and parameters of interest. The purpose of the subject is to show, through an example of a preliminary design, what the main parts of a function are. (3 figs.)

  14. 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

  15. 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?

  16. Kodu, kus elu käib päikese järgi / Airi Hallik

    Index Scriptorium Estoniae

    Hallik, Airi, 1975-

    2006-01-01

    Kunstnik Epp Margnale ja fotograaf Toomas Kalvele on hingelähedased maaelu ja maausk. Nende Hino talust Kanepi ja Otepää vahel. Vana maja otsa ehitas T. Kalve pooleldi klaasist ateljee. Talumaja muudavad värvikamaks E. Margna maalid vanal puidul. Koobassauna ehitamise plaanist. 11 värv. ill

  17. Microbial Functional Gene Diversity Predicts Groundwater Contamination and Ecosystem Functioning

    Science.gov (United States)

    Zhang, Ping; Wu, Linwei; Rocha, Andrea M.; Shi, Zhou; Wu, Bo; Qin, Yujia; Wang, Jianjun; Yan, Qingyun; Curtis, Daniel; Ning, Daliang; Van Nostrand, Joy D.; Wu, Liyou; Watson, David B.; Adams, Michael W. W.; Alm, Eric J.; Adams, Paul D.; Arkin, Adam P.

    2018-01-01

    ABSTRACT Contamination from anthropogenic activities has significantly impacted Earth’s biosphere. However, knowledge about how environmental contamination affects the biodiversity of groundwater microbiomes and ecosystem functioning remains very limited. Here, we used a comprehensive functional gene array to analyze groundwater microbiomes from 69 wells at the Oak Ridge Field Research Center (Oak Ridge, TN), representing a wide pH range and uranium, nitrate, and other contaminants. We hypothesized that the functional diversity of groundwater microbiomes would decrease as environmental contamination (e.g., uranium or nitrate) increased or at low or high pH, while some specific populations capable of utilizing or resistant to those contaminants would increase, and thus, such key microbial functional genes and/or populations could be used to predict groundwater contamination and ecosystem functioning. Our results indicated that functional richness/diversity decreased as uranium (but not nitrate) increased in groundwater. In addition, about 5.9% of specific key functional populations targeted by a comprehensive functional gene array (GeoChip 5) increased significantly (P contamination and ecosystem functioning. This study indicates great potential for using microbial functional genes to predict environmental contamination and ecosystem functioning. PMID:29463661

  18. Spectral function from Reduced Density Matrix Functional Theory

    Science.gov (United States)

    Romaniello, Pina; di Sabatino, Stefano; Berger, Jan A.; Reining, Lucia

    2015-03-01

    In this work we focus on the calculation of the spectral function, which determines, for example, photoemission spectra, from reduced density matrix functional theory. Starting from its definition in terms of the one-body Green's function we derive an expression for the spectral function that depends on the natural occupation numbers and on an effective energy which accounts for all the charged excitations. This effective energy depends on the two-body as well as higher-order density matrices. Various approximations to this expression are explored by using the exactly solvable Hubbard chains.

  19. 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.

  20. Generalized Probability Functions

    Directory of Open Access Journals (Sweden)

    Alexandre Souto Martinez

    2009-01-01

    Full Text Available From the integration of nonsymmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions (pdfs. A very reliable rank distribution can be conveniently described by the generalized exponential function. Finally, we turn the attention to the generalization of one- and two-tail stretched exponential functions. We obtain, as particular cases, the generalized error function, the Zipf-Mandelbrot pdf, the generalized Gaussian and Laplace pdf. Their cumulative functions and moments were also obtained analytically.

  1. Hexagon functions and the three-loop remainder function

    Energy Technology Data Exchange (ETDEWEB)

    Dixon, Lance J.; Drummond, James M.; von Hippel, Matt; Pennington, Jeffrey

    2013-12-01

    We present the three-loop remainder function, which describes the scattering of six gluons in the maximally-helicity-violating configuration in planar NN = 4 super-Yang-Mills theory, as a function of the three dual conformal cross ratios. The result can be expressed in terms of multiple Goncharov polylogarithms. We also employ a more restricted class of hexagon functions which have the correct branch cuts and certain other restrictions on their symbols. We classify all the hexagon functions through transcendental weight five, using the coproduct for their Hopf algebra iteratively, which amounts to a set of first-order differential equations. The three-loop remainder function is a particular weight-six hexagon function, whose symbol was determined previously. The differential equations can be integrated numerically for generic values of the cross ratios, or analytically in certain kinematic limits, including the near-collinear and multi-Regge limits. These limits allow us to impose constraints from the operator product expansion and multi-Regge factorization directly at the function level, and thereby to fix uniquely a set of Riemann ζ valued constants that could not be fixed at the level of the symbol. The near-collinear limits agree precisely with recent predictions by Basso, Sever and Vieira based on integrability. The multi-Regge limits agree with the factorization formula of Fadin and Lipatov, and determine three constants entering the impact factor at this order. We plot the three-loop remainder function for various slices of the Euclidean region of positive cross ratios, and compare it to the two-loop one. For large ranges of the cross ratios, the ratio of the three-loop to the two-loop remainder function is relatively constant, and close to -7.

  2. Microbial Functional Gene Diversity Predicts Groundwater Contamination and Ecosystem Functioning

    Directory of Open Access Journals (Sweden)

    Zhili He

    2018-02-01

    Full Text Available Contamination from anthropogenic activities has significantly impacted Earth’s biosphere. However, knowledge about how environmental contamination affects the biodiversity of groundwater microbiomes and ecosystem functioning remains very limited. Here, we used a comprehensive functional gene array to analyze groundwater microbiomes from 69 wells at the Oak Ridge Field Research Center (Oak Ridge, TN, representing a wide pH range and uranium, nitrate, and other contaminants. We hypothesized that the functional diversity of groundwater microbiomes would decrease as environmental contamination (e.g., uranium or nitrate increased or at low or high pH, while some specific populations capable of utilizing or resistant to those contaminants would increase, and thus, such key microbial functional genes and/or populations could be used to predict groundwater contamination and ecosystem functioning. Our results indicated that functional richness/diversity decreased as uranium (but not nitrate increased in groundwater. In addition, about 5.9% of specific key functional populations targeted by a comprehensive functional gene array (GeoChip 5 increased significantly (P < 0.05 as uranium or nitrate increased, and their changes could be used to successfully predict uranium and nitrate contamination and ecosystem functioning. This study indicates great potential for using microbial functional genes to predict environmental contamination and ecosystem functioning.

  3. Functional Programming

    OpenAIRE

    Chitil, Olaf

    2009-01-01

    Functional programming is a programming paradigm like object-oriented programming and logic programming. Functional programming comprises both a specific programming style and a class of programming languages that encourage and support this programming style. Functional programming enables the programmer to describe an algorithm on a high-level, in terms of the problem domain, without having to deal with machine-related details. A program is constructed from functions that only map inputs to ...

  4. Extended screened exchange functional derived from transcorrelated density functional theory.

    Science.gov (United States)

    Umezawa, Naoto

    2017-09-14

    We propose a new formulation of the correlation energy functional derived from the transcorrelated method in use in density functional theory (TC-DFT). An effective Hamiltonian, H TC , is introduced by a similarity transformation of a many-body Hamiltonian, H, with respect to a complex function F: H TC =1FHF. It is proved that an expectation value of H TC for a normalized single Slater determinant, D n , corresponds to the total energy: E[n] = ⟨Ψ n |H|Ψ n ⟩/⟨Ψ n |Ψ n ⟩ = ⟨D n |H TC |D n ⟩ under the two assumptions: (1) The electron density nr associated with a trial wave function Ψ n = D n F is v-representable and (2) Ψ n and D n give rise to the same electron density nr. This formulation, therefore, provides an alternative expression of the total energy that is useful for the development of novel correlation energy functionals. By substituting a specific function for F, we successfully derived a model correlation energy functional, which resembles the functional form of the screened exchange method. The proposed functional, named the extended screened exchange (ESX) functional, is described within two-body integrals and is parametrized for a numerically exact correlation energy of the homogeneous electron gas. The ESX functional does not contain any ingredients of (semi-)local functionals and thus is totally free from self-interactions. The computational cost for solving the self-consistent-field equation is comparable to that of the Hartree-Fock method. We apply the ESX functional to electronic structure calculations for a solid silicon, H - ion, and small atoms. The results demonstrate that the TC-DFT formulation is promising for the systematic improvement of the correlation energy functional.

  5. Scaling function, spectral function and nucleon momentum distribution in nuclei

    International Nuclear Information System (INIS)

    Antonov, A.N.; Ivanov, M.V.; Caballero, J.A.; Barbaro, M.B.; Udias, J.M.; Moya de Guerra, E.; Donnelly, T.W.

    2010-01-01

    The aim of the study is to find a good simultaneous description of the spectral function and the momentum distribution in relation to the realistic scaling function obtained from inclusive electron-nuclei scattering experiments. We start with a modified Hartree-Fock spectral function in which the energy dependent part (δ-function) is replaced by the Gaussian distributions with hole state widths as free parameters. We calculate the scaling function and the nucleon momentum distribution on the basis of the spectral function constructed in this way, trying to find a good description of the experimental data. The obtained scaling function has a weak asymmetry and the momentum distribution has not got a high-momentum tail in the case when harmonic-oscillator single-particle wave functions are used. So, to improve the behavior of the momentum distribution we used the basis of natural orbitals (NO) in which short-range correlations are partly incorporated. The results for the scaling function show again a weak asymmetry, but in this case the momentum distribution has a high-momentum tail. As a next step we include final-state interactions (FSI) in the calculations to reproduce the experimentally observed asymmetry of the scaling function. (author)

  6. Isostatic Implications of Different Seismic and Gravity Derived Moho Depths for Antarctica

    Science.gov (United States)

    Ferraccioli, F.; Pappa, F.; Ebbing, J.

    2017-12-01

    Several studies with different methods have been performed to investigate the lithospheric structure of Antarctica, in particular the Moho as the crust-mantle boundary. Yet, seismological surveys are regionally limited or suffer from sparse station coverage due to the remoteness and size of the continent. On the other hand, gravity studies are inherently ambiguous and therefore not able to determine both the geometry and the density contrast of the Moho. Existing Moho depth models for Antarctica show large discrepancies, even among different seismological methods, but all the more between seismological and gravity models. As a first step towards a possible reconcilement, we perform non-linear gravity inversions with simultaneous consideration of seismological data. Depending on the seismological input data, different depths and density contrasts yield the best fit. The results, however, are not in line with the pure seismological models. Subsequently, we compute simple Airy-isostatic Moho depth models and evaluate these together with multiple Moho models from previous studies in terms of their gravitational signal, applying different values for the density contrast. The models' responses are checked against observational data: vertical gravity at 50 km altitude from the spherical harmonics expansion model GOCO05s, and the gravity gradient tensor at 225 km altitude from the GOCE gravity gradient grids. While the gravity responses from the seismological models show strong disagreements with the data, the Airy-isostatic models fit better. Yet, differences of up to 10 km in depth exist between the isostatic and the gravity-inverted Moho models. From these differences in vertical gravity, in the gravity gradients and in Moho depth, we identify regions where a simple density contrast is not sufficient to explain the observed gravitational field. We conclude that lateral and vertical density variations must be considered, which might originate from high-density lower

  7. Functional enrichment analyses and construction of functional similarity networks with high confidence function prediction by PFP

    Directory of Open Access Journals (Sweden)

    Kihara Daisuke

    2010-05-01

    Full Text Available Abstract Background A new paradigm of biological investigation takes advantage of technologies that produce large high throughput datasets, including genome sequences, interactions of proteins, and gene expression. The ability of biologists to analyze and interpret such data relies on functional annotation of the included proteins, but even in highly characterized organisms many proteins can lack the functional evidence necessary to infer their biological relevance. Results Here we have applied high confidence function predictions from our automated prediction system, PFP, to three genome sequences, Escherichia coli, Saccharomyces cerevisiae, and Plasmodium falciparum (malaria. The number of annotated genes is increased by PFP to over 90% for all of the genomes. Using the large coverage of the function annotation, we introduced the functional similarity networks which represent the functional space of the proteomes. Four different functional similarity networks are constructed for each proteome, one each by considering similarity in a single Gene Ontology (GO category, i.e. Biological Process, Cellular Component, and Molecular Function, and another one by considering overall similarity with the funSim score. The functional similarity networks are shown to have higher modularity than the protein-protein interaction network. Moreover, the funSim score network is distinct from the single GO-score networks by showing a higher clustering degree exponent value and thus has a higher tendency to be hierarchical. In addition, examining function assignments to the protein-protein interaction network and local regions of genomes has identified numerous cases where subnetworks or local regions have functionally coherent proteins. These results will help interpreting interactions of proteins and gene orders in a genome. Several examples of both analyses are highlighted. Conclusion The analyses demonstrate that applying high confidence predictions from PFP

  8. 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,

  9. Functional equations and Green's functions for augmented scalar fields

    International Nuclear Information System (INIS)

    Klauder, J.R.

    1977-01-01

    Certain noncanonical self-coupled scalar quantum field theories, previously formulated by means of functional integration, are herein recast into the form of functional differential equations for the Green's functional. From these expressions the set of coupled equations relating the Green's functions is obtained. The new equations are compared with those of the conventional formulation, and are proposed as alternatives, especially for nonrenormalizable models when the conventional equations fail

  10. Submandibular gland function and parotid gland function in Bell's palsy, 3

    International Nuclear Information System (INIS)

    Ino, Chiyonori; Yamashita, Toshio; Kato, Mako; Kumazawa, Tadami

    1986-01-01

    With the use of sup(99m)Tc, we attempted to measure simultaneously submandibular gland function and parotid gland function, which is thought not to be controlled by the facial nerve, in patients with unilateral Bell's palsy. For comparison, the lachrymal gland function of some patients was measured by the thread method. We found that facial palsy sometimes affects parotid gland function as well as submandibular gland function. In 60 % of the patients the function of the two glands tended to be affected in the same way. Lachrymal gland function tended to be affected in a similar way to parotid gland function. We conclude that the chorda tympani and the greater petrosal nerve may influence parotid gland function. (author)

  11. Two-point correlation function for Dirichlet L-functions

    Science.gov (United States)

    Bogomolny, E.; Keating, J. P.

    2013-03-01

    The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic progression. The result matches the conjectured random-matrix form in the limit as E → ∞ and, importantly, includes finite-E corrections. These finite-E corrections differ from those in the case of the Riemann zeta-function, obtained in Bogomolny and Keating (1996 Phys. Rev. Lett. 77 1472), by certain finite products of primes which divide the modulus of the primitive character used to construct the L-function in question.

  12. Two-point correlation function for Dirichlet L-functions

    International Nuclear Information System (INIS)

    Bogomolny, E; Keating, J P

    2013-01-01

    The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy–Littlewood conjecture for pairs of primes in arithmetic progression. The result matches the conjectured random-matrix form in the limit as E → ∞ and, importantly, includes finite-E corrections. These finite-E corrections differ from those in the case of the Riemann zeta-function, obtained in Bogomolny and Keating (1996 Phys. Rev. Lett. 77 1472), by certain finite products of primes which divide the modulus of the primitive character used to construct the L-function in question. (paper)

  13. Expansion of continuum functions on resonance wave functions and amplitudes

    International Nuclear Information System (INIS)

    Bang, J.; Gareev, F.A.; Gizzatkulov, M.H.; Goncharov, S.A.

    1978-01-01

    To overcome difficulties encountered with wave functions of continuum spectrum (for example, in a shell model with continuum) the pole expansion (by the Mittag-Leffler theorem) of wave functions, scattering amplitudes and the Green functions with positive energies are considered. It is shown that resonance functions (the Gamov functions) form a complete set over which the continuum functions could be expanded. The general view of these expansions for final potentials and for the Coulomb repulsion potential are obtained and discussed. It is shown that the application of the method to nuclear structure calculations leads to simple algebraic equations

  14. E-Orbit Functions

    Directory of Open Access Journals (Sweden)

    Jiri Patera

    2008-01-01

    Full Text Available We review and further develop the theory of $E$-orbit functions. They are functions on the Euclidean space $E_n$ obtained from the multivariate exponential function by symmetrization by means of an even part $W_{e}$ of a Weyl group $W$, corresponding to a Coxeter-Dynkin diagram. Properties of such functions are described. They are closely related to symmetric and antisymmetric orbit functions which are received from exponential functions by symmetrization and antisymmetrization procedure by means of a Weyl group $W$. The $E$-orbit functions, determined by integral parameters, are invariant withrespect to even part $W^{aff}_{e}$ of the affine Weyl group corresponding to $W$. The $E$-orbit functions determine a symmetrized Fourier transform, where these functions serve as a kernel of the transform. They also determine a transform on a finite set of points of the fundamental domain $F^{e}$ of the group $W^{aff}_{e}$ (the discrete $E$-orbit function transform.

  15. Incorporating functional inter-relationships into protein function prediction algorithms

    Directory of Open Access Journals (Sweden)

    Kumar Vipin

    2009-05-01

    Full Text Available Abstract Background Functional classification schemes (e.g. the Gene Ontology that serve as the basis for annotation efforts in several organisms are often the source of gold standard information for computational efforts at supervised protein function prediction. While successful function prediction algorithms have been developed, few previous efforts have utilized more than the protein-to-functional class label information provided by such knowledge bases. For instance, the Gene Ontology not only captures protein annotations to a set of functional classes, but it also arranges these classes in a DAG-based hierarchy that captures rich inter-relationships between different classes. These inter-relationships present both opportunities, such as the potential for additional training examples for small classes from larger related classes, and challenges, such as a harder to learn distinction between similar GO terms, for standard classification-based approaches. Results We propose a method to enhance the performance of classification-based protein function prediction algorithms by addressing the issue of using these interrelationships between functional classes constituting functional classification schemes. Using a standard measure for evaluating the semantic similarity between nodes in an ontology, we quantify and incorporate these inter-relationships into the k-nearest neighbor classifier. We present experiments on several large genomic data sets, each of which is used for the modeling and prediction of over hundred classes from the GO Biological Process ontology. The results show that this incorporation produces more accurate predictions for a large number of the functional classes considered, and also that the classes benefitted most by this approach are those containing the fewest members. In addition, we show how our proposed framework can be used for integrating information from the entire GO hierarchy for improving the accuracy of

  16. Possible evidence for non-Newtonian gravity in the Greenland ice gap

    International Nuclear Information System (INIS)

    Ander, M.E.

    1988-01-01

    An Airy-type geophysical experiment was conducted down a 2 km deep hole in the Greenland ice cap in order to test for possible violations of Newton's inverse square law by making gravity measurements over a range of 213 m to 1460 m. A significant departure from Newtonian gravity was observed. This result can be explained by the existence of an attractive non-Newtonian component of gravity with a strength of about 3.4% that of Newtonian gravity at a scale of 1460 m. Unfortunately, we cannot completely, unambiguously attribute it to a breakdown of Newtonian gravity because we have shown that lateral density variations in the bedrock beneath the ice can cause such apparent departures. If such variations existed, they would have to be rather unusual but certainly no impossible. 8 refs

  17. A new construction of bent functions based on Z-bent functions

    DEFF Research Database (Denmark)

    Gangopadhyay, Sugata; Joshi, Anand; Leander, Gregor

    2013-01-01

    Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to partial spreads -bent functions of arbitrary...

  18. Transfer function combinations

    KAUST Repository

    Zhou, Liang; Schott, Mathias; Hansen, Charles

    2012-01-01

    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.

  19. 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.

  20. JAKEF, Gradient or Jacobian Function from Objective Function or Vector Function

    International Nuclear Information System (INIS)

    Hillstrom, K.E.

    1988-01-01

    1 - Description of program or function: JAKEF is a language processor that accepts as input a single- or double-precision ANSI standard 1977 FORTRAN subroutine defining an objective function f(x), or a vector function F(x), and produces as output a single- or double- precision ANSI standard 1977 FORTRAN subroutine defining the gradient of f(x), or the Jacobian of F(x). 2 - Method of solution: JAKEF is a four-pass compiler consisting of a lexical preprocessor, a parser, a tree-building and flow analysis pass, and a differentiator and output construction pass. The lexical preprocessor reworks the input FORTRAN program to give it a recognizable lexical structure. The parser transforms the pre-processed input into a string of tokens in a post-fix representation of the program tree. The tree-building and flow analysis pass constructs a tree out of the post-fix token string. The differentiator identifies relevant assignment statements; then, if necessary, it analyzes them into component statements governed by a single differentiation rule and augments each of these statements with a call to a member of the run-time support package which implements the differentiation rule. After completing the construction of the main body of the routine, JAKEF inserts calls to support package routines that complete the differentiation. This results in a modified program tree in a form compatible with FORTRAN rules. 3 - Restrictions on the complexity of the problem: Statement functions and Equivalence's that involve the independent variables are not handled correctly. Variables, constants, or functions of type COMPLEX are not recognized. Character sub-string expressions and alternate returns are not permitted

  1. Persistent Functional Languages: Toward Functional Relational Databases

    NARCIS (Netherlands)

    Wevers, L.

    2014-01-01

    Functional languages provide new approaches to concurrency control, based on techniques such as lazy evaluation and memoization. We have designed and implemented a persistent functional language based on these ideas, which we plan to use for the implementation of a relational database system. With

  2. Functional Programming in R

    DEFF Research Database (Denmark)

    Mailund, Thomas

    Master functions and discover how to write functional programs in R. In this book, you'll make your functions pure by avoiding side-effects; you’ll write functions that manipulate other functions, and you’ll construct complex functions using simpler functions as building blocks. In Functional...... Programming in R, you’ll see how we can replace loops, which can have side-effects, with recursive functions that can more easily avoid them. In addition, the book covers why you shouldn't use recursion when loops are more efficient and how you can get the best of both worlds. Functional programming...... functions by combining simpler functions. You will: Write functions in R including infix operators and replacement functions Create higher order functions Pass functions to other functions and start using functions as data you can manipulate Use Filer, Map and Reduce functions to express the intent behind...

  3. Hybrid functional pseudopotentials

    Science.gov (United States)

    Yang, Jing; Tan, Liang Z.; Rappe, Andrew M.

    2018-02-01

    The consistency between the exchange-correlation functional used in pseudopotential construction and in the actual density functional theory calculation is essential for the accurate prediction of fundamental properties of materials. However, routine hybrid density functional calculations at present still rely on generalized gradient approximation pseudopotentials due to the lack of hybrid functional pseudopotentials. Here, we present a scheme for generating hybrid functional pseudopotentials, and we analyze the importance of pseudopotential density functional consistency for hybrid functionals. For the PBE0 hybrid functional, we benchmark our pseudopotentials for structural parameters and fundamental electronic gaps of the Gaussian-2 (G2) molecular dataset and some simple solids. Our results show that using our PBE0 pseudopotentials in PBE0 calculations improves agreement with respect to all-electron calculations.

  4. Functional analysis

    CERN Document Server

    Kantorovich, L V

    1982-01-01

    Functional Analysis examines trends in functional analysis as a mathematical discipline and the ever-increasing role played by its techniques in applications. The theory of topological vector spaces is emphasized, along with the applications of functional analysis to applied analysis. Some topics of functional analysis connected with applications to mathematical economics and control theory are also discussed. Comprised of 18 chapters, this book begins with an introduction to the elements of the theory of topological spaces, the theory of metric spaces, and the theory of abstract measure space

  5. Transfer Function Identification Using Orthogonal Fourier Transform Modeling Functions

    Science.gov (United States)

    Morelli, Eugene A.

    2013-01-01

    A method for transfer function identification, including both model structure determination and parameter estimation, was developed and demonstrated. The approach uses orthogonal modeling functions generated from frequency domain data obtained by Fourier transformation of time series data. The method was applied to simulation data to identify continuous-time transfer function models and unsteady aerodynamic models. Model fit error, estimated model parameters, and the associated uncertainties were used to show the effectiveness of the method for identifying accurate transfer function models from noisy data.

  6. 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.

  7. Theory of Bessel Functions of High Rank - I: Fundamental Bessel Functions

    OpenAIRE

    Qi, Zhi

    2014-01-01

    In this article we introduce a new category of special functions called fundamental Bessel functions arising from the Voronoi summation formula for $\\mathrm{GL}_n (\\mathbb{R})$. The fundamental Bessel functions of rank one and two are the oscillatory exponential functions $e^{\\pm i x}$ and the classical Bessel functions respectively. The main implements and subjects of our study of fundamental Bessel functions are their formal integral representations and Bessel equations.

  8. Spontaneous processing of functional and non-functional action sequences

    DEFF Research Database (Denmark)

    Nielbo, Kristoffer Laigaard; Sørensen, Jesper

    2011-01-01

    as sub-categories of non-functional behavior (i.e., actions lacking causal coherence and a necessary integration between subparts). New insights in human action processing can help us explain how cognition might vary depending on the type of behavior processed. Using an event segmentation paradigm, we...... conducted two experiments eliciting differences in participants' response patterns to functional and non-functional actions. Participants consistently segmented non-functional action sequences into smaller units indicating either an attentional shift to the level of gesture analysis or a problem...... of representational integration. Experimental studies of non-functional behavior can strengthen explanations of recurrent features of human action processing, such as ritual and ritualized behavior, as well as indicate potential sources and effects of breakdown of the system....

  9. Every storage function is a state function

    NARCIS (Netherlands)

    Trentelman, H.L.; Willems, J.C.

    1997-01-01

    It is shown that for linear dynamical systems with quadratic supply rates, a storage function can always be written as a quadratic function of the state of an associated linear dynamical system. This dynamical system is obtained by combining the dynamics of the original system with the dynamics of

  10. Quality function deployment

    International Nuclear Information System (INIS)

    1981-10-01

    This book indicates quality function deployment with quality and deployment of quality function, process and prospect of quality function deployment and development, product process and conception of quality table, deployment of quality demand, design of quality table and application of concurrent multi design, progress design and quality development, main safe part and management of important function part, quality development and deployment of method of construction, quality deployment and economics, total system of quality function deployment and task of quality function deployment in the present and future.

  11. Adsorption of chromium (Ⅵ) on functionalized and non-functionalized carbon nanotubes

    International Nuclear Information System (INIS)

    Mubarak, Nabisab Mujawar; Thines, Raj Kogiladas; Sajuni, Noor Rosyidah; Ganesan, Poobalan; Jayakumar, Natesan Subramanian; Abdullah, Ezzat Chan; Sahu, Jaya Narayan

    2014-01-01

    We did a comparative study on the adsorption capacity of Cr (Ⅵ) between functionalized carbon nanotubes (CNTs) and non-functionalized CNTs. The statistical analysis reveals that the optimum conditions for the highest removal of Cr (Ⅵ) are at pH 9, with dosage 0.1 gram, agitation speed and time of 120 rpm and 120 minutes, respectively. For the initial concentration of 1.0mg/l, the removal efficiency of Cr (Ⅵ) using functionalized CNTs was 87.6% and 83% of non-functionalized CNTs. The maximum adsorption capacities of functionalized and non-functionalized CNTs were 2.517 and 2.49 mg/g, respectively. Langmuir and Freundlich models were adopted to study the adsorption isotherm, which provided a K L and K F value of 1.217 L/mg and 18.14 mg 1-n L n /g functionalized CNT, while 2.365 L/mg and 2.307 mg 1-n L n /g for non-functionalized CNTs. This result proves that functionalized CNTs are a better adsorbent with a higher adsorption capacity compared with the non-functionalized CNTs

  12. Functional Object Analysis

    DEFF Research Database (Denmark)

    Raket, Lars Lau

    We propose a direction it the field of statistics which we will call functional object analysis. This subfields considers the analysis of functional objects defined on continuous domains. In this setting we will focus on model-based statistics, with a particularly emphasis on mixed......-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...

  13. 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...... surfaces for various applications in synthetic biology. This review summarizes the properties of functionalized amphipols suitable for synthetic biology approaches....

  14. New multidimensional functional diversity indices for a multifaceted framework in functional ecology.

    Science.gov (United States)

    Villéger, Sébastien; Mason, Norman W H; Mouillot, David

    2008-08-01

    Functional diversity is increasingly identified as an important driver of ecosystem functioning. Various indices have been proposed to measure the functional diversity of a community, but there is still no consensus on which are most suitable. Indeed, none of the existing indices meets all the criteria required for general use. The main criteria are that they must be designed to deal with several traits, take into account abundances, and measure all the facets of functional diversity. Here we propose three indices to quantify each facet of functional diversity for a community with species distributed in a multidimensional functional space: functional richness (volume of the functional space occupied by the community), functional evenness (regularity of the distribution of abundance in this volume), and functional divergence (divergence in the distribution of abundance in this volume). Functional richness is estimated using the existing convex hull volume index. The new functional evenness index is based on the minimum spanning tree which links all the species in the multidimensional functional space. Then this new index quantifies the regularity with which species abundances are distributed along the spanning tree. Functional divergence is measured using a novel index which quantifies how species diverge in their distances (weighted by their abundance) from the center of gravity in the functional space. We show that none of the indices meets all the criteria required for a functional diversity index, but instead we show that the set of three complementary indices meets these criteria. Through simulations of artificial data sets, we demonstrate that functional divergence and functional evenness are independent of species richness and that the three functional diversity indices are independent of each other. Overall, our study suggests that decomposition of functional diversity into its three primary components provides a meaningful framework for its quantification

  15. 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 error...... 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)....

  16. Functional impairment and mental health functioning among Vietnamese children.

    Science.gov (United States)

    Dang, Hoang-Minh; Weiss, Bahr; Trung, Lam T

    2016-01-01

    Functional impairment is a key indicator of need for mental health services among children and adolescents, often a stronger predictor of service usage than mental health symptoms themselves. Functional impairment may be of particular importance in low- and middle-income countries (LMIC) because of its potential to focus policy on treatment of child mental health problems which is generally given low priority in LMIC. However, few studies have assessed functional impairment in LMIC. The present study assessed rates of functional impairment among children in Vietnam, as a case example of an LMIC, as well as effects of other risk/protective factors of particular relevance to LMIC (e.g., whether the family lived in an urban or rural area; family structure variables such as grandparents living with the family). 1314 parents of children 6-16 years old from 10 Vietnamese provinces were interviewed. The overall rate of functional impairment among Vietnamese children was 20 %, similar to rates in high-income countries such as Germany and the United States, suggesting that LMIC status may not be associated with dramatic increases in functional impairment in children. Functional impairment was significantly greater among mental health cases than non-cases, with increases of over 550 % associated with mental health caseness. A number of other risk factors (e.g., marital status) had smaller but significant effects. Mental health problems are a major but not the sole contributor to functional impairment among Vietnamese children. The pragmatic significance of this research lies in its potential to affect public awareness and policy related to child mental health in LMIC.

  17. Adsorption of chromium (Ⅵ) on functionalized and non-functionalized carbon nanotubes

    Energy Technology Data Exchange (ETDEWEB)

    Mubarak, Nabisab Mujawar; Thines, Raj Kogiladas; Sajuni, Noor Rosyidah [UCSI University, Kuala Lumpur (Malaysia); Ganesan, Poobalan; Jayakumar, Natesan Subramanian [University of Malaya, Kuala Lumpur (Malaysia); Abdullah, Ezzat Chan [Universiti Teknologi Malaysia, Kuala Lumpur (Malaysia); Sahu, Jaya Narayan [Institut Teknologi Brunei, Tungku Gadong (Brunei Darussalam)

    2014-09-15

    We did a comparative study on the adsorption capacity of Cr (Ⅵ) between functionalized carbon nanotubes (CNTs) and non-functionalized CNTs. The statistical analysis reveals that the optimum conditions for the highest removal of Cr (Ⅵ) are at pH 9, with dosage 0.1 gram, agitation speed and time of 120 rpm and 120 minutes, respectively. For the initial concentration of 1.0mg/l, the removal efficiency of Cr (Ⅵ) using functionalized CNTs was 87.6% and 83% of non-functionalized CNTs. The maximum adsorption capacities of functionalized and non-functionalized CNTs were 2.517 and 2.49 mg/g, respectively. Langmuir and Freundlich models were adopted to study the adsorption isotherm, which provided a K{sub L} and K{sub F} value of 1.217 L/mg and 18.14 mg{sup 1-n}L{sup n}/g functionalized CNT, while 2.365 L/mg and 2.307 mg{sup 1-n}L{sup n}/g for non-functionalized CNTs. This result proves that functionalized CNTs are a better adsorbent with a higher adsorption capacity compared with the non-functionalized CNTs.

  18. The effect of meson wave function on heavy-quark fragmentation function

    Energy Technology Data Exchange (ETDEWEB)

    Moosavi Nejad, S.M. [Yazd University, Faculty of Physics (Iran, Islamic Republic of); Institute for Research in Fundamental Sciences (IPM), School of Particles and Accelerators, Tehran (Iran, Islamic Republic of)

    2016-05-15

    We calculate the process-independent fragmentation functions (FFs) for a heavy quark to fragment into heavy mesons considering the effects of meson wave function. In all previous works, where the FFs of heavy mesons or heavy baryons were calculated, a delta function form was approximated for the wave function of hadrons. Here, for the first time, we consider a typical mesonic wave function which is different from the delta function and is the nonrelativistic limit of the solution of Bethe-Salpeter equation with the QCD kernel. We present our numerical results for the heavy FFs and show how the proposed wave function improves the previous results. As an example, we focus on the fragmentation function for c-quark to split into S-wave D{sup 0} -meson and compare our results with experimental data from BELLE and CLEO. (orig.)

  19. Ecosystem Functions across Trophic Levels Are Linked to Functional and Phylogenetic Diversity

    Science.gov (United States)

    Thompson, Patrick L.; Davies, T. Jonathan; Gonzalez, Andrew

    2015-01-01

    In experimental systems, it has been shown that biodiversity indices based on traits or phylogeny can outperform species richness as predictors of plant ecosystem function. However, it is unclear whether this pattern extends to the function of food webs in natural ecosystems. Here we tested whether zooplankton functional and phylogenetic diversity explains the functioning of 23 natural pond communities. We used two measures of ecosystem function: (1) zooplankton community biomass and (2) phytoplankton abundance (Chl a). We tested for diversity-ecosystem function relationships within and across trophic levels. We found a strong correlation between zooplankton diversity and ecosystem function, whereas local environmental conditions were less important. Further, the positive diversity-ecosystem function relationships were more pronounced for measures of functional and phylogenetic diversity than for species richness. Zooplankton and phytoplankton biomass were best predicted by different indices, suggesting that the two functions are dependent upon different aspects of diversity. Zooplankton community biomass was best predicted by zooplankton trait-based functional richness, while phytoplankton abundance was best predicted by zooplankton phylogenetic diversity. Our results suggest that the positive relationship between diversity and ecosystem function can extend across trophic levels in natural environments, and that greater insight into variation in ecosystem function can be gained by combining functional and phylogenetic diversity measures. PMID:25693188

  20. F-supercontinuous functions

    Directory of Open Access Journals (Sweden)

    J.K. Kohli

    2009-04-01

    Full Text Available A strong variant of continuity called ‘F-supercontinuity’ is introduced. The class of F-supercontinuous functions strictly contains the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33 (7 (2002, 1097–1108 which in turn properly contains the class of cl-supercontinuous functions ( clopen maps (Appl. Gen. Topology 8 (2 (2007, 293–300; Indian J. Pure Appl. Math. 14 (6 (1983, 762–772. Further, the class of F-supercontinuous functions is properly contained in the class of R-supercontinuous functions which in turn is strictly contained in the class of continuous functions. Basic properties of F-supercontinuous functions are studied and their place in the hierarchy of strong variants of continuity, which already exist in the mathematical literature, is elaborated. If either domain or range is a functionally regular space (Indagationes Math. 15 (1951, 359–368; 38 (1976, 281–288, then the notions of continuity, F-supercontinuity and R-supercontinuity coincide.

  1. 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...

  2. Prediction Error During Functional and Non-Functional Action Sequences

    DEFF Research Database (Denmark)

    Nielbo, Kristoffer Laigaard; Sørensen, Jesper

    2013-01-01

    recurrent networks were made and the results are presented in this article. The simulations show that non-functional action sequences do indeed increase prediction error, but that context representations, such as abstract goal information, can modulate the error signal considerably. It is also shown...... that the networks are sensitive to boundaries between sequences in both functional and non-functional actions....

  3. Self stigmatization, cognitive functions and social functioning in mood disorders

    Directory of Open Access Journals (Sweden)

    Gulsum Ozge Doganavsargil Baysal

    2013-06-01

    Full Text Available Purpose: Internalized stigmatization (IS generally has a negative effect on diagnosis, treatment, rehabilitation and prognosis of diseases. The purpose of this study is to compare patients with bipolar disorder and unipolar depression both are in remission in terms of IS and social functioning (SF, cognitive function and secondly to consider relationship between IS, cognitive functions and SF. Methods: This cross-sectional study is carried out with bipolar (BD and unipolar depression (UD patients in remission, admitted to the psychiatry outpatient clinics of Akdeniz University Hospital. The sample size is estimated as 35 patients. Basic independent variable is the type of disease and dependent variables are; IS, cognitive functions and SF. Performed scales are: The internalized stigma of mental ilness scale, the social functioning scale and for the assesment of cognitive functions: Wisconsin card sorting, stroop test, test of verbal memory process. Results.Concerning the results there was negative corelation between IS and SF scores in all groups. There was only significant relationship between verbal memory and IS in UD patients. There was not any significant relationship between IS and cognitive function in BD patients. Conclusion: This study indicates that in terms of cognitive functions, patients with unipolar depression are effected as much as the patients with bipolar disorder also manifesting the inverse relation between IS and SF, however cognitive functions were relevant to IS only in UD patients. [Cukurova Med J 2013; 38(3.000: 390-402

  4. Functional impairment and mental health functioning among Vietnamese children

    Science.gov (United States)

    Dang, Hoang-Minh; Weiss, Bahr; Trung, Lam T.

    2015-01-01

    Purpose Functional impairment is a key indicator of need for mental health services among children and adolescents, often a stronger predictor of service usage than mental health symptoms themselves. Functional impairment may be of particular importance in low and middle income countries (LMIC) because of its potential to focus policy on treatment of child mental health problems which is generally given low priority in LMIC. However, few studies have assessed functional impairment in LMIC. The present study assessed rates of functional impairment among children in Vietnam, as a case example of an LMIC, as well as effects of other risk/protective factors of particular relevance to LMIC (e.g., whether the family lived in an urban or rural area; family structure variables such as grandparents living with the family). Methods 1,314 parents of children 6–16 years old from 10 Vietnamese provinces were interviewed. Results The overall rate of functional impairment among Vietnamese children was 20%, similar to rates in high income countries such as Germany and the United States, suggesting that LMIC status may not be associated with dramatic increases in functional impairment in children. Functional impairment was significantly greater among mental health cases than non-cases, with increases of over 550% associated with mental health caseness. A number of other risk factors (e.g., marital status) had smaller but significant effects. Conclusions Mental health problems are a major but not the sole contributor to functional impairment among Vietnamese children. The pragmatic significance of this research lies in its potential to affect public awareness and policy related to child mental health in LMIC. PMID:26315942

  5. Introducing trimming and function ranking to Solid Works based on function analysis

    NARCIS (Netherlands)

    Chechurin, Leonid S.; Wits, Wessel Willems; Bakker, Hans M.; Cascini, G.; Vaneker, Thomas H.J.

    2011-01-01

    TRIZ based Function Analysis models existing products based on functional interactions between product parts. Such a function model description is the ideal starting point for product innovation. Design engineers can apply (TRIZ) methods such as trimming and function ranking to this function model

  6. Introducing Trimming and Function Ranking to SolidWorks based on Function Analysis

    NARCIS (Netherlands)

    Chechurin, L.S.; Wits, Wessel Willems; Bakker, Hans M.; Vaneker, Thomas H.J.

    2015-01-01

    TRIZ based Function Analysis models existing products based on functional interactions between product parts. Such a function model description is the ideal starting point for product innovation. Design engineers can apply (TRIZ) methods such as trimming and function ranking to this function model

  7. Parallel transaction processing in functional languages, towards practical functional databases

    NARCIS (Netherlands)

    Wevers, L.; Huisman, Marieke; de Keijzer, Ander

    2013-01-01

    This paper shows how functional languages can be adapted for transaction processing, and discusses the implementation of a parallel runtime system for such functional transaction processing languages. We extend functional languages with current state variables and result state variables to allow the

  8. Functional coma.

    Science.gov (United States)

    Ludwig, L; McWhirter, L; Williams, S; Derry, C; Stone, J

    2016-01-01

    Functional coma - here defined as a prolonged motionless dissociative attack with absent or reduced response to external stimuli - is a relatively rare presentation. In this chapter we examine a wide range of terms used to describe states of unresponsiveness in which psychologic factors are relevant to etiology, such as depressive stupor, catatonia, nonepileptic "pseudostatus," and factitious disorders, and discuss the place of functional or psychogenic coma among these. Historically, diagnosis of functional coma has sometimes been reached after prolonged investigation and exclusion of other diagnoses. However, as is the case with other functional disorders, diagnosis should preferably be made on the basis of positive findings that provide evidence of inconsistency between an apparent comatose state and normal waking nervous system functioning. In our review of physical signs, we find some evidence for the presence of firm resistance to eye opening as reasonably sensitive and specific for functional coma, as well as the eye gaze sign, in which patients tend to look to the ground when turned on to one side. Noxious stimuli such as Harvey's sign (application of high-frequency vibrating tuning fork to the nasal mucosa) can also be helpful, although patients with this disorder are often remarkably unresponsive to usually painful stimuli, particularly as more commonly applied using sternal or nail bed pressure. The use of repeated painful stimuli is therefore not recommended. We also discuss the role of general anesthesia and other physiologic triggers to functional coma. © 2016 Elsevier B.V. All rights reserved.

  9. Nonrespiratory lung function

    Energy Technology Data Exchange (ETDEWEB)

    Isawa, Toyoharu [Tohoku University Research Institute for Chest Disease and Cancer, Sendai (Japan)

    1994-07-01

    The function of the lungs is primarily the function as a gas exchanger: the venous blood returning to the lungs is arterialized with oxygen in the lungs and the arterialized blood is sent back again to the peripheral tissues of the whole body to be utilized for metabolic oxygenation. Besides the gas exchanging function which we call ''respiratory lung function'' the lungs have functions that have little to do with gas exchange itself. We categorically call the latter function of the lungs as ''nonrespiratory lung function''. The lungs consist of the conductive airways, the gas exchanging units like the alveoli, and the interstitial space that surrounds the former two compartments. The interstitial space contains the blood and lymphatic capillaries, collagen and elastic fibers and cement substances. The conductive airways and the gas exchanging units are directly exposed to the atmosphere that contains various toxic and nontoxic gases, fume and biological or nonbiological particles. Because the conductive airways are equipped with defense mechanisms like mucociliary clearance or coughs to get rid of these toxic gases, particles or locally produced biological debris, we are usually free from being succumbed to ill effects of inhaled materials. By use of nuclear medicine techniques, we can now evaluate mucociliary clearance function, and other nonrespiratory lung functions as well in vivo.

  10. Nonrespiratory lung function

    International Nuclear Information System (INIS)

    Isawa, Toyoharu

    1994-01-01

    The function of the lungs is primarily the function as a gas exchanger: the venous blood returning to the lungs is arterialized with oxygen in the lungs and the arterialized blood is sent back again to the peripheral tissues of the whole body to be utilized for metabolic oxygenation. Besides the gas exchanging function which we call ''respiratory lung function'' the lungs have functions that have little to do with gas exchange itself. We categorically call the latter function of the lungs as ''nonrespiratory lung function''. The lungs consist of the conductive airways, the gas exchanging units like the alveoli, and the interstitial space that surrounds the former two compartments. The interstitial space contains the blood and lymphatic capillaries, collagen and elastic fibers and cement substances. The conductive airways and the gas exchanging units are directly exposed to the atmosphere that contains various toxic and nontoxic gases, fume and biological or nonbiological particles. Because the conductive airways are equipped with defense mechanisms like mucociliary clearance or coughs to get rid of these toxic gases, particles or locally produced biological debris, we are usually free from being succumbed to ill effects of inhaled materials. By use of nuclear medicine techniques, we can now evaluate mucociliary clearance function, and other nonrespiratory lung functions as well in vivo

  11. Exploitation of geoinformatics at modelling of functional effects of forest functions

    International Nuclear Information System (INIS)

    Sitko, R.

    2005-01-01

    From point of view of space modelling geoinformatics has wide application in group of ecologic function of forest because they directly depend on natural conditions of site. A causa de cy modelling application was realised on the territory of TANAP (Tatras National Park), West Tatras, in the part Liptovske Kopy. The size of this territory is about 4,900 hectares and forests there subserve the first of all significant ecological functions, what are soil protection from erosion, water management, and anti-avalanche function. Of environmental functions they have recreational role of the forest and function of nature protection. Anti-avalanche and anti-erosion function of forest is evaluated in this presentation

  12. [Ecological executive function characteristics and effects of executive function on social adaptive function in school-aged children with epilepsy].

    Science.gov (United States)

    Xu, X J; Wang, L L; Zhou, N

    2016-02-23

    To explore the characteristics of ecological executive function in school-aged children with idiopathic or probably symptomatic epilepsy and examine the effects of executive function on social adaptive function. A total of 51 school-aged children with idiopathic or probably symptomatic epilepsy aged 5-12 years at our hospital and 37 normal ones of the same gender, age and educational level were included. The differences in ecological executive function and social adaptive function were compared between the two groups with the Behavior Rating Inventory of Executive Function (BRIEF) and Child Adaptive Behavior Scale, the Pearson's correlation test and multiple stepwise linear regression were used to explore the impact of executive function on social adaptive function. The scores of school-aged children with idiopathic or probably symptomatic epilepsy in global executive composite (GEC), behavioral regulation index (BRI) and metacognition index (MI) of BRIEF ((62±12), (58±13) and (63±12), respectively) were significantly higher than those of the control group ((47±7), (44±6) and (48±8), respectively))(Pchildren with idiopathic or probably symptomatic epilepsy in adaptive behavior quotient (ADQ), independence, cognition, self-control ((86±22), (32±17), (49±14), (41±16), respectively) were significantly lower than those of the control group ((120±12), (59±14), (59±7) and (68±10), respectively))(Pchildren with idiopathic or probably symptomatic epilepsy. School-aged children with idiopathic or probably symptomatic epilepsy may have significantly ecological executive function impairment and social adaptive function reduction. The aspects of BRI, inhibition and working memory in ecological executive function are significantly related with social adaptive function in school-aged children with epilepsy.

  13. State-related functional integration and functional segregation brain networks in schizophrenia.

    Science.gov (United States)

    Yu, Qingbao; Sui, Jing; Kiehl, Kent A; Pearlson, Godfrey; Calhoun, Vince D

    2013-11-01

    Altered topological properties of brain connectivity networks have emerged as important features of schizophrenia. The aim of this study was to investigate how the state-related modulations to graph measures of functional integration and functional segregation brain networks are disrupted in schizophrenia. Firstly, resting state and auditory oddball discrimination (AOD) fMRI data of healthy controls (HCs) and schizophrenia patients (SZs) were decomposed into spatially independent components (ICs) by group independent component analysis (ICA). Then, weighted positive and negative functional integration (inter-component networks) and functional segregation (intra-component networks) brain networks were built in each subject. Subsequently, connectivity strength, clustering coefficient, and global efficiency of all brain networks were statistically compared between groups (HCs and SZs) in each state and between states (rest and AOD) within group. We found that graph measures of negative functional integration brain network and several positive functional segregation brain networks were altered in schizophrenia during AOD task. The metrics of positive functional integration brain network and one positive functional segregation brain network were higher during the resting state than during the AOD task only in HCs. These findings imply that state-related characteristics of both functional integration and functional segregation brain networks are impaired in schizophrenia which provides new insight into the altered brain performance in this brain disorder. © 2013.

  14. Weakly clopen functions

    International Nuclear Information System (INIS)

    Son, Mi Jung; Park, Jin Han; Lim, Ki Moon

    2007-01-01

    We introduce a new class of functions called weakly clopen function which includes the class of almost clopen functions due to Ekici [Ekici E. Generalization of perfectly continuous, regular set-connected and clopen functions. Acta Math Hungar 2005;107:193-206] and is included in the class of weakly continuous functions due to Levine [Levine N. A decomposition of continuity in topological spaces. Am Math Mon 1961;68:44-6]. Some characterizations and several properties concerning weakly clopenness are obtained. Furthermore, relationships among weak clopenness, almost clopenness, clopenness and weak continuity are investigated

  15. Implementing function spreadsheets

    DEFF Research Database (Denmark)

    Sestoft, Peter

    2008-01-01

    : 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....

  16. Orthogonal functionalization of nanoporous substrates: control of 3D surface functionality.

    Science.gov (United States)

    Lazzara, Thomas D; Kliesch, Torben-Tobias; Janshoff, Andreas; Steinem, Claudia

    2011-04-01

    Anodic aluminum oxide (AAO) membranes with aligned, cylindrical, nonintersecting pores were selectively functionalized in order to create dual-functionality substrates with different pore-rim and pore-interior surface functionalities, using silane chemistry. We used a two-step process involving an evaporated thin gold film to protect the underlying surface functionality of the pore rims. Subsequent treatment with oxygen plasma of the modified AAO membrane removed the unprotected organic functional groups, i.e., the pore-interior surface. After gold removal, the substrate became optically transparent, and displayed two distinct surface functionalities, one at the pore-rim surface and another at the pore-interior surface. We achieved a selective hydrophobic functionalization with dodecyl-trichlorosilane of either the pore rims or the pore interiors. The deposition of planar lipid membranes on the functionalized areas by addition of small unilamellar vesicles occurred in a predetermined fashion. Small unilamellar vesicles only ruptured upon contact with the hydrophobic substrate regions forming solid supported hybrid bilayers. In addition, pore-rim functionalization with dodecyl-trichlorosilane allowed the formation of pore-spanning hybrid lipid membranes as a result of giant unilamellar vesicle rupture. Confocal laser scanning microscopy was employed to identify the selective spatial localization of the adsorbed fluorescently labeled lipids. The corresponding increase in the AAO refractive index due to lipid adsorption on the hydrophobic regions was monitored by optical waveguide spectroscopy. This simple orthogonal functionalization route is a promising method to control the three-dimensional surface functionality of nanoporous films. © 2011 American Chemical Society

  17. Rδ-Supercontinuous Functions

    Directory of Open Access Journals (Sweden)

    Kohli J. K.

    2014-06-01

    Full Text Available A new class of functions called ‘Rδ-supercontinuous functions’ is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity which already exist in the literature is elaborated. The class of Rδ-supercontinuous functions (Math. Bohem., to appear properly contains the class of Rz-supercontinuous functions which in its turn properly contains the class of Rcl- supercontinuous functions (Demonstratio Math. 46(1 (2013, 229-244 and so includes all Rcl-supercontinuous (≡clopen continuous functions (Applied Gen. Topol. 8(2 (2007, 293-300; Indian J. Pure Appl. Math. 14(6 (1983, 767-772 and is properly contained in the class of R-supercontinuous functions (Demonstratio Math. 43(3 (2010, 703-723.

  18. Form Follows Function. A new approach to determining vessel function

    Directory of Open Access Journals (Sweden)

    Vincent van der Veen

    2018-05-01

    Full Text Available In this article I present a theoretical model for assigning functions to categories of Roman ceramics. This model was designed to make broad statements about assemblages that are too large to analyse in detail. It is therefore based on the 'ideal use' of a vessel - i.e. the function the potter had in mind when he chose the clay, temper, forming techniques and so on - rather than 'non-ideal' or actual use. Characteristics considered are, among others, shape, size, weight, surface treatment and wall thickness. Seven distinct functions have been identified, taking the inherent multi-functionality of certain vessels into account. In many cases an individual vessel type will be suitable for more than one function. In a case study the commonly made functional distinction between smooth-tempered one-handled flagons (kruiken as tableware and two-handled flagons (kruikamforen as storage vessels is challenged. Furthermore, differences in their deposition within both grave and settlement assemblages are explored.

  19. Functional visual fields: relationship of visual field areas to self-reported function.

    Science.gov (United States)

    Subhi, Hikmat; Latham, Keziah; Myint, Joy; Crossland, Michael D

    2017-07-01

    The aim of this study is to relate areas of the visual field to functional difficulties to inform the development of a binocular visual field assessment that can reflect the functional consequences of visual field loss. Fifty-two participants with peripheral visual field loss undertook binocular assessment of visual fields using the 30-2 and 60-4 SITA Fast programs on the Humphrey Field Analyser, and mean thresholds were derived. Binocular visual acuity, contrast sensitivity and near reading performance were also determined. Self-reported overall and mobility function were assessed using the Dutch ICF Activity Inventory. Greater visual field loss (0-60°) was associated with worse self-reported function both overall (R 2 = 0.50; p function (R 2 = 0.61, p function in multiple regression analyses. Superior and inferior visual field areas related similarly to mobility function (R 2 = 0.56, p function in multiple regression analysis. Mean threshold of the binocular visual field to 60° eccentricity is a good predictor of self-reported function overall, and particularly of mobility function. Both the central (0-30°) and peripheral (30-60°) mean threshold are good predictors of self-reported function, but the peripheral (30-0°) field is a slightly better predictor of mobility function, and should not be ignored when considering functional consequences of field loss. The inferior visual field is a slightly stronger predictor of perceived overall and mobility function than the superior field. © 2017 The Authors Ophthalmic & Physiological Optics © 2017 The College of Optometrists.

  20. The undefined function differs from the pointwise undefined function

    OpenAIRE

    Dosch, Walter (Prof.)

    1993-01-01

    The undefined function differs from the pointwise undefined function. - In: Joint Conference on Declarative Programming : Proceedings / Maria I. Sessa ... (eds.). - Salerno : Univ. degli Studi, 1995. - S. 257-268

  1. Green close-quote s function method with energy-independent vertex functions

    International Nuclear Information System (INIS)

    Tsay Tzeng, S.Y.; Kuo, T.T.; Tzeng, Y.; Geyer, H.B.; Navratil, P.

    1996-01-01

    In conventional Green close-quote s function methods the vertex function Γ is generally energy dependent. However, a model-space Green close-quote s function method where the vertex function is manifestly energy independent can be formulated using energy-independent effective interaction theories based on folded diagrams and/or similarity transformations. This is discussed in general and then illustrated for a 1p1h model-space Green close-quote s function applied to a solvable Lipkin many-fermion model. The poles of the conventional Green close-quote s function are obtained by solving a self-consistent Dyson equation and model space calculations may lead to unphysical poles. For the energy-independent model-space Green close-quote s function only the physical poles of the model problem are reproduced and are in satisfactory agreement with the exact excitation energies. copyright 1996 The American Physical Society

  2. Functional traits explain ecosystem function through opposing mechanisms.

    Science.gov (United States)

    Cadotte, Marc W

    2017-08-01

    The ability to explain why multispecies assemblages produce greater biomass compared to monocultures, has been a central goal in the quest to understand biodiversity effects on ecosystem function. Species contributions to ecosystem function can be driven by two processes: niche complementarity and a selection effect that is influenced by fitness (competitive) differences, and both can be approximated with measures of species' traits. It has been hypothesised that fitness differences are associated with few, singular traits while complementarity requires multidimensional trait measures. Here, using experimental data from plant assemblages, I show that the selection effect was strongest when trait dissimilarity was low, while complementarity was greatest with high trait dissimilarity. Selection effects were best explained by a single trait, plant height. Complementarity was correlated with dissimilarity across multiple traits, representing above and below ground processes. By identifying the relevant traits linked to ecosystem function, we obtain the ability to predict combinations of species that will maximise ecosystem function. © 2017 John Wiley & Sons Ltd/CNRS.

  3. Conserved Functional Motifs and Homology Modeling to Predict Hidden Moonlighting Functional Sites

    KAUST Repository

    Wong, Aloysius Tze

    2015-06-09

    Moonlighting functional centers within proteins can provide them with hitherto unrecognized functions. Here, we review how hidden moonlighting functional centers, which we define as binding sites that have catalytic activity or regulate protein function in a novel manner, can be identified using targeted bioinformatic searches. Functional motifs used in such searches include amino acid residues that are conserved across species and many of which have been assigned functional roles based on experimental evidence. Molecules that were identified in this manner seeking cyclic mononucleotide cyclases in plants are used as examples. The strength of this computational approach is enhanced when good homology models can be developed to test the functionality of the predicted centers in silico, which, in turn, increases confidence in the ability of the identified candidates to perform the predicted functions. Computational characterization of moonlighting functional centers is not diagnostic for catalysis but serves as a rapid screening method, and highlights testable targets from a potentially large pool of candidates for subsequent in vitro and in vivo experiments required to confirm the functionality of the predicted moonlighting centers.

  4. Conserved Functional Motifs and Homology Modeling to Predict Hidden Moonlighting Functional Sites

    KAUST Repository

    Wong, Aloysius Tze; Gehring, Christoph A; Irving, Helen R.

    2015-01-01

    Moonlighting functional centers within proteins can provide them with hitherto unrecognized functions. Here, we review how hidden moonlighting functional centers, which we define as binding sites that have catalytic activity or regulate protein function in a novel manner, can be identified using targeted bioinformatic searches. Functional motifs used in such searches include amino acid residues that are conserved across species and many of which have been assigned functional roles based on experimental evidence. Molecules that were identified in this manner seeking cyclic mononucleotide cyclases in plants are used as examples. The strength of this computational approach is enhanced when good homology models can be developed to test the functionality of the predicted centers in silico, which, in turn, increases confidence in the ability of the identified candidates to perform the predicted functions. Computational characterization of moonlighting functional centers is not diagnostic for catalysis but serves as a rapid screening method, and highlights testable targets from a potentially large pool of candidates for subsequent in vitro and in vivo experiments required to confirm the functionality of the predicted moonlighting centers.

  5. Tree species diversity promotes aboveground carbon storage through functional diversity and functional dominance.

    Science.gov (United States)

    Mensah, Sylvanus; Veldtman, Ruan; Assogbadjo, Achille E; Glèlè Kakaï, Romain; Seifert, Thomas

    2016-10-01

    The relationship between biodiversity and ecosystem function has increasingly been debated as the cornerstone of the processes behind ecosystem services delivery. Experimental and natural field-based studies have come up with nonconsistent patterns of biodiversity-ecosystem function, supporting either niche complementarity or selection effects hypothesis. Here, we used aboveground carbon (AGC) storage as proxy for ecosystem function in a South African mistbelt forest, and analyzed its relationship with species diversity, through functional diversity and functional dominance. We hypothesized that (1) diversity influences AGC through functional diversity and functional dominance effects; and (2) effects of diversity on AGC would be greater for functional dominance than for functional diversity. Community weight mean (CWM) of functional traits (wood density, specific leaf area, and maximum plant height) were calculated to assess functional dominance (selection effects). As for functional diversity (complementarity effects), multitrait functional diversity indices were computed. The first hypothesis was tested using structural equation modeling. For the second hypothesis, effects of environmental variables such as slope and altitude were tested first, and separate linear mixed-effects models were fitted afterward for functional diversity, functional dominance, and both. Results showed that AGC varied significantly along the slope gradient, with lower values at steeper sites. Species diversity (richness) had positive relationship with AGC, even when slope effects were considered. As predicted, diversity effects on AGC were mediated through functional diversity and functional dominance, suggesting that both the niche complementarity and the selection effects are not exclusively affecting carbon storage. However, the effects were greater for functional diversity than for functional dominance. Furthermore, functional dominance effects were strongly transmitted by CWM of

  6. Platelet Function Tests

    Science.gov (United States)

    ... Patient Resources For Health Professionals Subscribe Search Platelet Function Tests Send Us Your Feedback Choose Topic At ... Also Known As Platelet Aggregation Studies PFT Platelet Function Assay PFA Formal Name Platelet Function Tests This ...

  7. Certain Subclasses of Analytic and Bi-Univalent Functions Involving Double Zeta Functions

    OpenAIRE

    Siregar, Saibah; Raman, Sintuja

    2012-01-01

    In the present paper, we introduce two new subclasses of the functions class Σ of bi-univalent functions involving double zeta functions in the open unit disc U={z:zEC, |z|<1}. The estimates on the coefficients |a2| and |a3| for functions in these new subclasses of the function class Σ are obtained in our investigation.

  8. Functional redundancy and food web functioning in linuron-exposed ecosystems

    Energy Technology Data Exchange (ETDEWEB)

    De Laender, F., E-mail: frederik.delaender@ugent.be [Laboratory of Environmental Toxicity and Aquatic Ecology, Ghent University, Plateaustraat 22, 9000 Ghent (Belgium); Van den Brink, P.J., E-mail: Paul.vandenBrink@wur.nl [Department of Aquatic Ecology and Water Quality Management, Wageningen University, PO Box 47, 6700 AA Wageningen (Netherlands); Janssen, C.R., E-mail: colin.janssen@ugent.be [Laboratory of Environmental Toxicity and Aquatic Ecology, Ghent University, Plateaustraat 22, 9000 Ghent (Belgium)

    2011-10-15

    An extensive data set describing effects of the herbicide linuron on macrophyte-dominated microcosms was analysed with a food web model to assess effects on ecosystem functioning. We showed that sensitive phytoplankton and periphyton groups in the diets of heterotrophs were gradually replaced by more tolerant phytoplankton species as linuron concentrations increased. This diet shift - showing redundancy among phytoplankton species - allowed heterotrophs to maintain their functions in the contaminated microcosms. On an ecosystem level, total gross primary production was up to hundred times lower in the treated microcosms but the uptake of dissolved organic carbon by bacteria and mixotrophs was less sensitive. Food web efficiency was not consistently lower in the treated microcosms. We conclude that linuron predominantly affected the macrophytes but did not alter the overall functioning of the surrounding planktonic food web. Therefore, a risk assessment that protects macrophyte growth also protects the functioning of macrophyte-dominated microcosms. - Highlights: > Food web modelling reveals the functional response of species and ecosystem to linuron. > Primary production was more sensitive to linuron than bacterial production. > Linuron replaced sensitive phytoplankton by tolerant phytoplankton in heterotrophs' diets. > Linuron did not change the functioning of heterotrophs. - Food web modelling reveals functional redundancy of the planktonic community in microcosms treated with linuron.

  9. Functional redundancy and food web functioning in linuron-exposed ecosystems

    International Nuclear Information System (INIS)

    De Laender, F.; Van den Brink, P.J.; Janssen, C.R.

    2011-01-01

    An extensive data set describing effects of the herbicide linuron on macrophyte-dominated microcosms was analysed with a food web model to assess effects on ecosystem functioning. We showed that sensitive phytoplankton and periphyton groups in the diets of heterotrophs were gradually replaced by more tolerant phytoplankton species as linuron concentrations increased. This diet shift - showing redundancy among phytoplankton species - allowed heterotrophs to maintain their functions in the contaminated microcosms. On an ecosystem level, total gross primary production was up to hundred times lower in the treated microcosms but the uptake of dissolved organic carbon by bacteria and mixotrophs was less sensitive. Food web efficiency was not consistently lower in the treated microcosms. We conclude that linuron predominantly affected the macrophytes but did not alter the overall functioning of the surrounding planktonic food web. Therefore, a risk assessment that protects macrophyte growth also protects the functioning of macrophyte-dominated microcosms. - Highlights: → Food web modelling reveals the functional response of species and ecosystem to linuron. → Primary production was more sensitive to linuron than bacterial production. → Linuron replaced sensitive phytoplankton by tolerant phytoplankton in heterotrophs' diets. → Linuron did not change the functioning of heterotrophs. - Food web modelling reveals functional redundancy of the planktonic community in microcosms treated with linuron.

  10. Investigating body function

    International Nuclear Information System (INIS)

    Monks, R.; Riley, A.L.M.

    1981-01-01

    This invention relates to the investigation of body function, especially small bowel function but also liver function, using bile acids and bile salts or their metabolic precursors labelled with radio isotopes and selenium or tellurium. (author)

  11. On Poisson functions

    OpenAIRE

    Terashima, Yuji

    2008-01-01

    In this paper, defining Poisson functions on super manifolds, we show that the graphs of Poisson functions are Dirac structures, and find Poisson functions which include as special cases both quasi-Poisson structures and twisted Poisson structures.

  12. Parametrization of the. delta. residue function. [Complex functions

    Energy Technology Data Exchange (ETDEWEB)

    Vasan, S S [Carnegie-Mellon Univ., Pittsburgh, Pa. (USA). Dept. of Physics

    1976-04-19

    The complex residues at the ..delta..(1236) and ..delta..(1950) poles in the relevant partial-wave amplitudes provide information on the behaviour of the ..delta.. Regge residue function in the resonance region u>0. Attempts to incorporate this information in parametrizations of the residue by functions that are real on the real u-axis result in residues which have unsatisfactory behaviour in the region u<1GeV/sup 2/. The choice of complex functions for the trajectory and residue removes this undesirable feature and provides a better representation of the residue in the resonance region, suggesting that complex parametrizations would be better suited to Regge analyses of near-backward scattering.

  13. Identification of Novel Ovarian Cancer Oncogenes that Function by Regulating Exosome Function

    Science.gov (United States)

    2017-09-01

    Novel Ovarian Cancer Oncogenes that Function by Regulating Exosome Function September 2017 x 1Sep2016...31Aug2017 Email: mbirrer@partners.org 6 Identification of Novel Ovarian Cancer Oncogenes that Function by Regulating Exosome Function xx

  14. Rationale for switching to nonlocal functionals in density functional theory.

    Science.gov (United States)

    Lazić, P; Atodiresei, N; Caciuc, V; Brako, R; Gumhalter, B; Blügel, S

    2012-10-24

    Density functional theory (DFT) has been steadily improving over the past few decades, becoming the standard tool for electronic structure calculations. The early local functionals (LDA) were eventually replaced by more accurate semilocal functionals (GGA) which are in use today. A major persisting drawback is the lack of the nonlocal correlation which is at the core of dispersive (van der Waals) forces, so that a large and important class of systems remains outside the scope of DFT. The vdW-DF correlation functional of Langreth and Lundqvist, published in 2004, was the first nonlocal functional which could be easily implemented. Beyond expectations, the nonlocal functional has brought significant improvement to systems that were believed not to be sensitive to nonlocal correlations. In this paper, we use the example of graphene nanodomes growing on the Ir(111) surface, where with an increase of the size of the graphene islands the character of the bonding changes from strong chemisorption towards almost pure physisorption. We demonstrate how the seamless character of the vdW-DF functionals makes it possible to treat all regimes self-consistently, proving to be a systematic and consistent improvement of DFT regardless of the nature of bonding. We also discuss the typical surface science example of CO adsorption on (111) surfaces of metals, which shows that the nonlocal correlation may also be crucial for strongly chemisorbed systems. We briefly discuss open questions, in particular the choice of the most appropriate exchange part of the functional. As the vdW-DF begins to appear implemented self-consistently in a number of popular DFT codes, with numerical costs close to the GGA calculations, we draw the attention of the DFT community to the advantages and benefits of the adoption of this new class of functionals.

  15. Rationale for switching to nonlocal functionals in density functional theory

    International Nuclear Information System (INIS)

    Lazić, P; Atodiresei, N; Caciuc, V; Blügel, S; Brako, R; Gumhalter, B

    2012-01-01

    Density functional theory (DFT) has been steadily improving over the past few decades, becoming the standard tool for electronic structure calculations. The early local functionals (LDA) were eventually replaced by more accurate semilocal functionals (GGA) which are in use today. A major persisting drawback is the lack of the nonlocal correlation which is at the core of dispersive (van der Waals) forces, so that a large and important class of systems remains outside the scope of DFT. The vdW-DF correlation functional of Langreth and Lundqvist, published in 2004, was the first nonlocal functional which could be easily implemented. Beyond expectations, the nonlocal functional has brought significant improvement to systems that were believed not to be sensitive to nonlocal correlations. In this paper, we use the example of graphene nanodomes growing on the Ir(111) surface, where with an increase of the size of the graphene islands the character of the bonding changes from strong chemisorption towards almost pure physisorption. We demonstrate how the seamless character of the vdW-DF functionals makes it possible to treat all regimes self-consistently, proving to be a systematic and consistent improvement of DFT regardless of the nature of bonding. We also discuss the typical surface science example of CO adsorption on (111) surfaces of metals, which shows that the nonlocal correlation may also be crucial for strongly chemisorbed systems. We briefly discuss open questions, in particular the choice of the most appropriate exchange part of the functional. As the vdW-DF begins to appear implemented self-consistently in a number of popular DFT codes, with numerical costs close to the GGA calculations, we draw the attention of the DFT community to the advantages and benefits of the adoption of this new class of functionals.

  16. Graafik Ilse Leetaru Tallinna ja Tartu kunstimuuseumidele kingitud kunstiteosed näitusel Tartus / Airi Vaga

    Index Scriptorium Estoniae

    Vaga, Airi, 1940-

    2004-01-01

    valiknäitus "Ilse Leetaru. Kingitused" Eesti parimate kunstnike teostest I. Leetaru väärtuslikust kunstikollektsioonist koos tema enda loominguga on avatud 8. juulist 8. augustini 2004 Tartu Kunstimuuseumis

  17. 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

  18. Spectral functions and transport coefficients from the functional renormalization group

    Energy Technology Data Exchange (ETDEWEB)

    Tripolt, Ralf-Arno

    2015-06-03

    In this thesis we present a new method to obtain real-time quantities like spectral functions and transport coefficients at finite temperature and density using the Functional Renormalization Group approach. Our non-perturbative method is thermodynamically consistent, symmetry preserving and based on an analytic continuation from imaginary to real time on the level of the flow equations. We demonstrate the applicability of this method by calculating mesonic spectral functions as well as the shear viscosity for the quark-meson model. In particular, results are presented for the pion and sigma spectral function at finite temperature and chemical potential, with a focus on the regime near the critical endpoint in the phase diagram of the quark-meson model. Moreover, the different time-like and space-like processes, which give rise to a complex structure of the spectral functions, are discussed. Finally, based on the momentum dependence of the spectral functions, we calculate the shear viscosity and the shear viscosity to entropy density ratio using the corresponding Green-Kubo formula.

  19. Intrinsic-density functionals

    International Nuclear Information System (INIS)

    Engel, J.

    2007-01-01

    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

  20. Constructive definition of functional derivatives in density-functional theory

    International Nuclear Information System (INIS)

    Luo Ji

    2006-01-01

    It is shown that the functional derivatives in density-functional theory (DFT) can be explicitly defined within the domain of electron densities restricted by the electron number, and a constructive definition of such restricted derivatives is suggested. With this definition, Kohn-Sham (KS) equations can be established for an N-electron system without extending the functional domain and introducing a Lagrange multiplier. This may clarify some of the fundamental questions raised by Nesbet (1998 Phys. Rev. A 58 R12). The definition naturally leads to the fact that the KS effective potential is determined only to within an additive constant, thus the KS levels can shift freely and the relation between the highest occupied molecular orbital (HOMO) energy and the ionization potential of the system depends on the choice of the constant. On the other hand, if the domain of functionals is indeed extended beyond the electron number restriction, conclusions depend on whether the extended functionals have unrestricted derivatives or not. It is shown that the ensemble extension of DFT to open systems of mixed states (Perdew et al 1982 Phys. Rev. Lett. 49 1691) leads to an energy functional which has no unrestricted derivative at integer electron numbers. Hence after this extension, the relation between the HOMO energy and the ionization potential for an N-electron system is still uncertain. Besides, there are different extensions of the energy functional to a domain of densities unrestricted by the integer electron number, resulting in different unrestricted derivatives and electron systems with different chemical potentials. Even for the exact exchange-correlation potential, there is still an undetermined constant, whether it is a restricted or unrestricted derivative

  1. Simultaneous 3D tracking of passive tracers and microtubule bundles in an active gel

    Science.gov (United States)

    Fan, Yi; Breuer, Kenneth S.; Fluids Team

    Kinesin-driven microtubule bundles generate a spontaneous flow in unconfined geometries. They exhibit properties of active matter, including the emergence of collective motion, reduction of apparent viscosity and consumption of local energy. Here we present results from 3D tracking of passive tracers (using Airy rings and 3D scanning) synchronized with 3D measurement of the microtubule bundles motion. This technique is applied to measure viscosity variation and collective flow in a confined geometry with particular attention paid to the self-pumping system recently reported by Wu et al. (2016). Results show that the viscosity in an equilibrium microtubule network is around half that of the isotropic unbundled microtubule solution. Cross-correlations of the active microtubule network and passive tracers define a neighborhood around microtubule bundles in which passive tracers are effectively transported. MRSEC NSF.

  2. Is Mc Leod's Patent Pending Naturoptic Method for Restoring Healthy Vision Easy and Verifiable?

    Science.gov (United States)

    Niemi, Paul; McLeod, David; McLeod, Roger

    2006-10-01

    RDM asserts that he and people he has trained can assign visual tasks from standard vision assessment charts, or better replacements, proceeding through incremental changes and such rapid improvements that healthy vision can be restored. Mc Leod predicts that in visual tasks with pupil diameter changes, wavelengths change proportionally. A longer, quasimonochromatic wavelength interval is coincident with foveal cones, and rods. A shorter, partially overlapping interval separately aligns with extrafoveal cones. Wavelengths follow the Airy disk radius formula. Niemi can evaluate if it is true that visual health merely requires triggering and facilitating the demands of possibly overridden feedback signals. The method and process are designed so that potential Naturopathic and other select graduate students should be able to self-fund their higher- level educations from preferential franchising arrangements of earnings while they are in certain programs.

  3. Monotone Boolean functions

    International Nuclear Information System (INIS)

    Korshunov, A D

    2003-01-01

    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

  4. Phylogenetic molecular function annotation

    International Nuclear Information System (INIS)

    Engelhardt, Barbara E; Jordan, Michael I; Repo, Susanna T; Brenner, Steven E

    2009-01-01

    It is now easier to discover thousands of protein sequences in a new microbial genome than it is to biochemically characterize the specific activity of a single protein of unknown function. The molecular functions of protein sequences have typically been predicted using homology-based computational methods, which rely on the principle that homologous proteins share a similar function. However, some protein families include groups of proteins with different molecular functions. A phylogenetic approach for predicting molecular function (sometimes called 'phylogenomics') is an effective means to predict protein molecular function. These methods incorporate functional evidence from all members of a family that have functional characterizations using the evolutionary history of the protein family to make robust predictions for the uncharacterized proteins. However, they are often difficult to apply on a genome-wide scale because of the time-consuming step of reconstructing the phylogenies of each protein to be annotated. Our automated approach for function annotation using phylogeny, the SIFTER (Statistical Inference of Function Through Evolutionary Relationships) methodology, uses a statistical graphical model to compute the probabilities of molecular functions for unannotated proteins. Our benchmark tests showed that SIFTER provides accurate functional predictions on various protein families, outperforming other available methods.

  5. Functional Programming in R

    DEFF Research Database (Denmark)

    Mailund, Thomas

    Master functions and discover how to write functional programs in R. In this book, you'll make your functions pure by avoiding side-effects; you’ll write functions that manipulate other functions, and you’ll construct complex functions using simpler functions as building blocks. In Functional...... Programming in R, you’ll see how we can replace loops, which can have side-effects, with recursive functions that can more easily avoid them. In addition, the book covers why you shouldn't use recursion when loops are more efficient and how you can get the best of both worlds. Functional programming...... is a style of programming, like object-oriented programming, but one that focuses on data transformations and calculations rather than objects and state. Where in object-oriented programming you model your programs by describing which states an object can be in and how methods will reveal or modify...

  6. Functional Programming in R

    DEFF Research Database (Denmark)

    Mailund, Thomas

    2017-01-01

    Master functions and discover how to write functional programs in R. In this book, you'll make your functions pure by avoiding side-effects; you’ll write functions that manipulate other functions, and you’ll construct complex functions using simpler functions as building blocks. In Functional...... Programming in R, you’ll see how we can replace loops, which can have side-effects, with recursive functions that can more easily avoid them. In addition, the book covers why you shouldn't use recursion when loops are more efficient and how you can get the best of both worlds. Functional programming...... is a style of programming, like object-oriented programming, but one that focuses on data transformations and calculations rather than objects and state. Where in object-oriented programming you model your programs by describing which states an object can be in and how methods will reveal or modify...

  7. Functional tremor.

    Science.gov (United States)

    Schwingenschuh, P; Deuschl, G

    2016-01-01

    Functional tremor is the commonest reported functional movement disorder. A confident clinical diagnosis of functional tremor is often possible based on the following "positive" criteria: a sudden tremor onset, unusual disease course, often with fluctuations or remissions, distractibility of the tremor if attention is removed from the affected body part, tremor entrainment, tremor variability, and a coactivation sign. Many patients show excessive exhaustion during examination. Other somatizations may be revealed in the medical history and patients may show additional functional neurologic symptoms and signs. In cases where the clinical diagnosis remains challenging, providing a "laboratory-supported" level of certainty aids an early positive diagnosis. In rare cases, in which the distinction from Parkinson's disease is difficult, dopamine transporter single-photon emission computed tomography (DAT-SPECT) can be indicated. © 2016 Elsevier B.V. All rights reserved.

  8. Discovery of functional and approximate functional dependencies in relational databases

    Directory of Open Access Journals (Sweden)

    Ronald S. King

    2003-01-01

    Full Text Available This study develops the foundation for a simple, yet efficient method for uncovering functional and approximate functional dependencies in relational databases. The technique is based upon the mathematical theory of partitions defined over a relation's row identifiers. Using a levelwise algorithm the minimal non-trivial functional dependencies can be found using computations conducted on integers. Therefore, the required operations on partitions are both simple and fast. Additionally, the row identifiers provide the added advantage of nominally identifying the exceptions to approximate functional dependencies, which can be used effectively in practical data mining applications.

  9. Photon wave function

    OpenAIRE

    Bialynicki-Birula, Iwo

    2005-01-01

    Photon wave function is a controversial concept. Controversies stem from the fact that photon wave functions can not have all the properties of the Schroedinger wave functions of nonrelativistic wave mechanics. Insistence on those properties that, owing to peculiarities of photon dynamics, cannot be rendered, led some physicists to the extreme opinion that the photon wave function does not exist. I reject such a fundamentalist point of view in favor of a more pragmatic approach. In my view, t...

  10. Quasi-extended asymptotic functions

    International Nuclear Information System (INIS)

    Todorov, T.D.

    1979-01-01

    The class F of ''quasi-extended asymptotic functions'' is introduced. It contains all extended asymptotic functions as well as some new asymptotic functions very similar to the Schwartz distributions. On the other hand, every two quasiextended asymptotic functions can be multiplied as opposed to the Schwartz distributions; in particular, the square delta 2 of an asymptotic function delta similar to Dirac's delta-function, is constructed as an example

  11. Inferring the Functions of Proteins from the Interrelationships between Functional Categories.

    Science.gov (United States)

    Taha, Kamal

    2018-01-01

    This study proposes a new method to determine the functions of an unannotated protein. The proteins and amino acid residues mentioned in biomedical texts associated with an unannotated protein can be considered as characteristics terms for , which are highly predictive of the potential functions of . Similarly, proteins and amino acid residues mentioned in biomedical texts associated with proteins annotated with a functional category can be considered as characteristics terms of . We introduce in this paper an information extraction system called IFP_IFC that predicts the functions of an unannotated protein by representing and each functional category by a vector of weights. Each weight reflects the degree of association between a characteristic term and (or a characteristic term and ). First, IFP_IFC constructs a network, whose nodes represent the different functional categories, and its edges the interrelationships between the nodes. Then, it determines the functions of by employing random walks with restarts on the mentioned network. The walker is the vector of . Finally, is assigned to the functional categories of the nodes in the network that are visited most by the walker. We evaluated the quality of IFP_IFC by comparing it experimentally with two other systems. Results showed marked improvement.

  12. Approximate self-consistent potentials for density-functional-theory exchange-correlation functionals

    International Nuclear Information System (INIS)

    Cafiero, Mauricio; Gonzalez, Carlos

    2005-01-01

    We show that potentials for exchange-correlation functionals within the Kohn-Sham density-functional-theory framework may be written as potentials for simpler functionals multiplied by a factor close to unity, and in a self-consistent field calculation, these effective potentials find the correct self-consistent solutions. This simple theory is demonstrated with self-consistent exchange-only calculations of the atomization energies of some small molecules using the Perdew-Kurth-Zupan-Blaha (PKZB) meta-generalized-gradient-approximation (meta-GGA) exchange functional. The atomization energies obtained with our method agree with or surpass previous meta-GGA calculations performed in a non-self-consistent manner. The results of this work suggest the utility of this simple theory to approximate exchange-correlation potentials corresponding to energy functionals too complicated to generate closed forms for their potentials. We hope that this method will encourage the development of complex functionals which have correct boundary conditions and are free of self-interaction errors without the worry that the functionals are too complex to differentiate to obtain potentials

  13. Functional Parallel Factor Analysis for Functions of One- and Two-dimensional Arguments.

    Science.gov (United States)

    Choi, Ji Yeh; Hwang, Heungsun; Timmerman, Marieke E

    2018-03-01

    Parallel factor analysis (PARAFAC) is a useful multivariate method for decomposing three-way data that consist of three different types of entities simultaneously. This method estimates trilinear components, each of which is a low-dimensional representation of a set of entities, often called a mode, to explain the maximum variance of the data. Functional PARAFAC permits the entities in different modes to be smooth functions or curves, varying over a continuum, rather than a collection of unconnected responses. The existing functional PARAFAC methods handle functions of a one-dimensional argument (e.g., time) only. In this paper, we propose a new extension of functional PARAFAC for handling three-way data whose responses are sequenced along both a two-dimensional domain (e.g., a plane with x- and y-axis coordinates) and a one-dimensional argument. Technically, the proposed method combines PARAFAC with basis function expansion approximations, using a set of piecewise quadratic finite element basis functions for estimating two-dimensional smooth functions and a set of one-dimensional basis functions for estimating one-dimensional smooth functions. In a simulation study, the proposed method appeared to outperform the conventional PARAFAC. We apply the method to EEG data to demonstrate its empirical usefulness.

  14. Lower Limb Function in Elderly Korean Adults Is Related to Cognitive Function.

    Science.gov (United States)

    Kim, A-Sol; Ko, Hae-Jin

    2018-05-01

    Patients with cognitive impairment have decreased lower limb function. Therefore, we aimed to investigate the relationship between lower limb function and cognitive disorders to determine whether lower limb function can be screened to identify cognitive decline. Using Korean National Health Insurance Service-National Sample Cohort database data, we assessed the cognitive and lower limb functioning of 66-year-olds who underwent national health screening between 2010 and 2014. Cognitive function was assessed via a questionnaire. Timed Up-and-Go (TUG) and one-leg-standing (OLS) tests were performed to evaluate lower limb function. Associations between cognitive and lower limb functions were analyzed, and optimal cut-off points for these tests to screen for cognitive decline, were determined. Cognitive function was significantly correlated with TUG interval ( r = 0.414, p cognitive disorders were >11 s and ≤12 s for TUG interval and OLS duration, respectively. Among 66-year-olds who underwent national health screening, a significant correlation between lower limb and cognitive function was demonstrated. The TUG and OLS tests are useful screening tools for cognitive disorders in elderly patients. A large-scale prospective cohort study should be conducted to investigate the causal relationship between cognitive and lower limb function.

  15. Density functional theory of the electrical double layer: the RFD functional

    International Nuclear Information System (INIS)

    Gillespie, Dirk; Valisko, Monika; Boda, Dezso

    2005-01-01

    Density functional theory (DFT) of electrolytes is applied to the electrical double layer under a wide range of conditions. The ions are charged, hard spheres of different size and valence, and the wall creating the double layer is uncharged, weakly charged, and strongly charged. Under all conditions, the density and electrostatic potential profiles calculated using the recently proposed RFD electrostatic functional (Gillespie et al 2002 J. Phys.: Condens. Matter 14 12129; 2003 Phys. Rev. E 68 031503) compare well to Monte Carlo simulations. When the wall is strongly charged, the RFD functional results agree with the results of a simpler perturbative electrostatic DFT, but the two functionals' results qualitatively disagree when the wall is uncharged or weakly charged. The RFD functional reproduces these phenomena of weakly charged double layers. It also reproduces bulk thermodynamic quantities calculated from pair correlation functions

  16. Stress analysis of fuel claddings with axial fins including creep effects

    International Nuclear Information System (INIS)

    Krieg, R.

    1977-01-01

    For LMFBR fuel claddings with axial fins the stress and strain fields are calculated which may be caused by internal pressure, differential thermal expansion and irradiation induced differential swelling. To provide an appropriate description of the cladding material it is assumed that the total strain is the sum of a linear elastic and a creep term, where the latter one includes the thermal as well as the irradiation induced creep. First the linear elastic problem is treated by a semi-analytical method leading to a bipotential equation for Airys' stress function. Solving this equation analytically means that the field equations valid within the cladding are satisfied exactly. By applying a combined point matching- least square-method the boundary conditions could be satisfied approximately such that in most cases the remaining error is within the uncertainty range of the loading conditions. Then the nonlinear problem which includes creep is approximated by a sequence of linear elastic solutions with time as parameter. The accumulated creep strain is treated here as an imposed strain field. To study the influence of different effects such as fin shape, temperature region, irradiation induced creep and swelling or internal pressure, a total of eleven cases with various parameter variations are investigated. The results are presented graphically in the following forms: stress and strain distributions over the cladding cross section for end of life conditions and boundary stresses and strains versus time. (Auth.)

  17. Quantum-classical correspondence for the inverted oscillator

    Science.gov (United States)

    Maamache, Mustapha; Ryeol Choi, Jeong

    2017-11-01

    While quantum-classical correspondence for a system is a very fundamental problem in modern physics, the understanding of its mechanism is often elusive, so the methods used and the results of detailed theoretical analysis have been accompanied by active debate. In this study, the differences and similarities between quantum and classical behavior for an inverted oscillator have been analyzed based on the description of a complete generalized Airy function-type quantum wave solution. The inverted oscillator model plays an important role in several branches of cosmology and particle physics. The quantum wave packet of the system is composed of many sub-packets that are localized at different positions with regular intervals between them. It is shown from illustrations of the probability density that, although the quantum trajectory of the wave propagation is somewhat different from the corresponding classical one, the difference becomes relatively small when the classical excitation is sufficiently high. We have confirmed that a quantum wave packet moving along a positive or negative direction accelerates over time like a classical wave. From these main interpretations and others in the text, we conclude that our theory exquisitely illustrates quantum and classical correspondence for the system, which is a crucial concept in quantum mechanics. Supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1D1A1A09919503)

  18. Fine Guidance Sensing for Coronagraphic Observatories

    Science.gov (United States)

    Brugarolas, Paul; Alexander, James W.; Trauger, John T.; Moody, Dwight C.

    2011-01-01

    Three options have been developed for Fine Guidance Sensing (FGS) for coronagraphic observatories using a Fine Guidance Camera within a coronagraphic instrument. Coronagraphic observatories require very fine precision pointing in order to image faint objects at very small distances from a target star. The Fine Guidance Camera measures the direction to the target star. The first option, referred to as Spot, was to collect all of the light reflected from a coronagraph occulter onto a focal plane, producing an Airy-type point spread function (PSF). This would allow almost all of the starlight from the central star to be used for centroiding. The second approach, referred to as Punctured Disk, collects the light that bypasses a central obscuration, producing a PSF with a punctured central disk. The final approach, referred to as Lyot, collects light after passing through the occulter at the Lyot stop. The study includes generation of representative images for each option by the science team, followed by an engineering evaluation of a centroiding or a photometric algorithm for each option. After the alignment of the coronagraph to the fine guidance system, a "nulling" point on the FGS focal point is determined by calibration. This alignment is implemented by a fine alignment mechanism that is part of the fine guidance camera selection mirror. If the star images meet the modeling assumptions, and the star "centroid" can be driven to that nulling point, the contrast for the coronagraph will be maximized.

  19. Gene2Function: An Integrated Online Resource for Gene Function Discovery

    Directory of Open Access Journals (Sweden)

    Yanhui Hu

    2017-08-01

    Full Text Available One of the most powerful ways to develop hypotheses regarding the biological functions of conserved genes in a given species, such as humans, is to first look at what is known about their function in another species. Model organism databases and other resources are rich with functional information but difficult to mine. Gene2Function addresses a broad need by integrating information about conserved genes in a single online resource.

  20. Functional Boxplots

    KAUST Repository

    Sun, Ying; Genton, Marc G.

    2011-01-01

    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

  1. Multidisciplinary team functioning.

    Science.gov (United States)

    Kovitz, K E; Dougan, P; Riese, R; Brummitt, J R

    1984-01-01

    This paper advocates the need to move beyond interdisciplinary team composition as a minimum criterion for multidisciplinary functioning in child abuse treatment. Recent developments within the field reflect the practice of shared professional responsibility for detection, case management and treatment. Adherence to this particular model for intervention requires cooperative service planning and implementation as task related functions. Implicitly, this model also carries the potential to incorporate the supportive functioning essential to effective group process. However, explicit attention to the dynamics and process of small groups has been neglected in prescriptive accounts of multidisciplinary child abuse team organization. The present paper therefore focuses upon the maintenance and enhancement aspects of multidisciplinary group functioning. First, the development and philosophy of service for the Alberta Children's Hospital Child Abuse Program are reviewed. Second, composition of the team, it's mandate for service, and the population it serves are briefly described. Third, the conceptual framework within which the program functions is outlined. Strategies for effective group functioning are presented and the difficulties encountered with this model are highlighted. Finally, recommendations are offered for planning and implementing a multidisciplinary child abuse team and for maintaining its effective group functioning.

  2. and chebyshev functions

    Directory of Open Access Journals (Sweden)

    Mohsen Razzaghi

    2000-01-01

    Full Text Available A direct method for finding the solution of variational problems using a hybrid function is discussed. The hybrid functions which consist of block-pulse functions plus Chebyshev polynomials are introduced. An operational matrix of integration and the integration of the cross product of two hybrid function vectors are presented and are utilized to reduce a variational problem to the solution of an algebraic equation. Illustrative examples are included to demonstrate the validity and applicability of the technique.

  3. Functional Requirement Analysis and Function Allocation for APR 1400

    International Nuclear Information System (INIS)

    Nuraslinda, Anuar; Florah, Kamanja; Noloyiso, Mtoko and others

    2013-01-01

    This paper intends to fulfill the FRA and FA of the HFE as required in Chapter 4 of NUREG-0711 rev. 3 for APR1400 to satisfy both plant safety and power generation objectives. This paper aims to evaluate the FRA and FA for APR1400. The allocation of function is done at the system level for all processes for both the power generation and safety goals, following the NUREG/CR-3331 guideline. As a conclusion, this paper has successfully implemented the requirements and methodology specified in NUREG-0711 for APR 1400. The Functional Requirement Analysis (FRA) and Function Allocation (FA) are required by the regulation in the Human Factors Engineering (HFE) program. The FRA defines the functions, processes, and system for plant safety and power generation. The FA allocates the functions to human operator, automation, or a combination of two. The FRA and FA for APR1400 have been performed in the very early stage of development but only for the plant safety. However, the analysis did not include the goal of power generation and also did not fully satisfy the latest revision of NUREG-0711

  4. Wigner's function and other distribution functions in mock phase spaces

    International Nuclear Information System (INIS)

    Balazs, N.L.; Jennings, B.K.

    1983-06-01

    This review deals with the methods of associating functions with quantum mechanical operators in such a manner that these functions should furnish conveniently semiclassical approximations. We present a unified treatment of methods and result which usually appear under the expressions Wigner's functions, Weyl's association, Kirkwood's expansion, Glauber's coherent state representation, etc.; we also construct some new associations. The mathematical paraphernalia are collected in the appendices

  5. On a Functional Equation for the Generating Function of the Logarithmic Series Distribution

    OpenAIRE

    Panaretos, John

    1987-01-01

    This note deals with finding the solution of a functional equation, where the function involved has the additional property of being a probability generating function. It turns out that the unique solution of this particular functional equation is the probability generating function of the logarithmic series distribution

  6. THE PSEUDO-SMARANDACHE FUNCTION

    OpenAIRE

    David Gorski

    2007-01-01

    The Pseudo-Smarandache Function is part of number theory. The function comes from the Smarandache Function. The Pseudo-Smarandache Function is represented by Z(n) where n represents any natural number.

  7. Gaze recognition in high-functioning autistic patients. Evidence from functional MRI

    International Nuclear Information System (INIS)

    Takebayashi, Hiroko; Ogai, Masahiro; Matsumoto, Hideo

    2006-01-01

    We examined whether patients with high-functioning autistic disorder (AD) would exhibit abnormal activation in brain regions implicated in the functioning of theory of mind (TOM) during gaze recognition. We investigated brain activity during gaze recognition in 5 patients with high-functioning AD and 9 normal subjects, using functional magnetic resonance imaging. On the gaze task, more activation was found in the left middle frontal gyrus, the right intraparietal sulcus, and the precentral and inferior parietal gyri bilaterally in controls than in AD patients, whereas the patient group showed more powerful signal changes in the left superior temporal gyrus, the right insula, and the right medial frontal gyrus. These results suggest that high-functioning AD patients have functional abnormalities not only in TOM-related brain regions, but also in widely distributed brain regions that are not normally activated upon the processing of information from another person's gaze. (author)

  8. Mood disorders and sexual functioning in women with functional hypothalamic amenorrhea.

    Science.gov (United States)

    Dundon, Carolyn M; Rellini, Alessandra H; Tonani, Silvia; Santamaria, Valentina; Nappi, Rosella

    2010-11-01

    To investigate the sexual function of women with functional hypothalamic amenorrhea (FHA) and to test the mediating effects of depression and anxiety on the sexual functioning of women with FHA. In this cross-sectional study, participants completed questionnaires on sexual function, depression, and anxiety. Tertiary care university hospital. Women with (n=41) and without (n=39) FHA recruited from a gynecologic endocrinology unit. None. The McCoy Female Sexuality Questionnaire assessed sexual function, and the Zung Scale measured depression and anxiety. Women with FHA experienced more sexual function problems and significantly higher depression and anxiety compared to women without menstrual dysfunction. In addition, depression offered a significant explanation for the sexual problems experienced by women with FHA. The psychologic symptoms that contribute to the onset of FHA partially mediate the relationship between FHA and sexual dysfunction. Copyright © 2010 American Society for Reproductive Medicine. Published by Elsevier Inc. All rights reserved.

  9. Reliability of a functional test battery evaluating functionality, proprioception, and strength in recreational athletes with functional ankle instability.

    Science.gov (United States)

    Sekir, U; Yildiz, Y; Hazneci, B; Ors, F; Saka, T; Aydin, T

    2008-12-01

    In contrast to the single evaluation methods used in the past, the combination of multiple tests allows one to obtain a global assessment of the ankle joint. The aim of this study was to determine the reliability of the different tests in a functional test battery. Twenty-four male recreational athletes with unilateral functional ankle instability (FAI) were recruited for this study. One component of the test battery included five different functional ability tests. These tests included a single limb hopping course, single-legged and triple-legged hop for distance, and six and cross six meter hop for time. The ankle joint position sense and one leg standing test were used for evaluation of proprioception and sensorimotor control. The isokinetic strengths of the ankle invertor and evertor muscles were evaluated at a velocity of 120 degrees /s. The reliability of the test battery was assessed by calculating the intraclass correlation coefficient (ICC). Each subject was tested two times, with an interval of 3-5 days between the test sessions. The ICCs for ankle functional and proprioceptive ability showed high reliability (ICCs ranging from 0.94 to 0.98). Additionally, isokinetic ankle joint inversion and eversion strength measurements represented good to high reliability (ICCs between 0.82 and 0.98). The functional test battery investigated in this study proved to be a reliable tool for the assessment of athletes with functional ankle instability. Therefore, clinicians may obtain reliable information from the functional test battery during the assessment of ankle joint performance in patients with functional ankle instability.

  10. The relationship of self-rated function and self-rated health to concurrent functional ability, functional decline, and mortality: findings from the Nun Study.

    Science.gov (United States)

    Greiner, P A; Snowdon, D A; Greiner, L H

    1996-09-01

    We investigated the relationship of self-rated function (i.e., the ability to take care of oneself) and self-rated health to concurrent functional ability, functional decline, and mortality in participants in the Nun Study, a longitudinal study of aging and Alzheimer's disease. A total of 629 of the 678 study participants self-rated their function and health and completed an initial functional assessment in 1991-93. Survivors completed a second assessment in 1993-94. Overall, self-rated function had a stronger relationship to functional ability at the first assessment and to functional decline between the first and second assessments than did self-rated health. Self-rated function also had a stronger relationship to mortality than did self-rated health. Self-rated function may be a better marker of global function than is self-rated health and may be a useful addition to clinical assessment and scientific investigation of the relationships among function, health, and disease.

  11. 42 CFR 476.86 - Correlation of Title XI functions with Title XVIII functions.

    Science.gov (United States)

    2010-10-01

    ... 42 Public Health 4 2010-10-01 2010-10-01 false Correlation of Title XI functions with Title XVIII functions. 476.86 Section 476.86 Public Health CENTERS FOR MEDICARE & MEDICAID SERVICES, DEPARTMENT OF...) Qio Review Functions § 476.86 Correlation of Title XI functions with Title XVIII functions. (a...

  12. Relationship between theory of mind and functional independence is mediated by executive function.

    Science.gov (United States)

    Ahmed, Fayeza S; Miller, L Stephen

    2013-06-01

    Theory of mind (ToM) is the ability to comprehend another person's perspective. Although there is much literature of ToM in children, there is a limited and somewhat inconclusive amount of studies examining ToM in a geriatric population. This study examined ToM's relationship to functional independence. Two tests of ToM, tests of executive function, and a measure of functional ability were administered to cognitively intact older adults. Results showed that 1 test of ToM (Strange Stories test) significantly accounted for variance in functional ability, whereas the other did not (Faux Pas test). In addition, Strange Stories test performance was partially driven by a verbal abstraction-based executive function: proverb interpretation. A multiple mediation model was employed to examine whether executive functions explained the relationship between the Strange Stories test and functional ability. Results showed that both the combined and individual indirect effects of the executive function measures mediated the relationship. We argue that, although components of ToM are associated with functional independence, ToM does not appear to account for additional variance in functional independence beyond executive function measures. PsycINFO Database Record (c) 2013 APA, all rights reserved.

  13. On a total function which overtakes all total recursive functions

    OpenAIRE

    da Costa, N. C. A.; Doria, F. A.

    2001-01-01

    This paper discusses a function that is frequently presented as a simile or look-alike of the so-called ``counterexample function to P=NP,'' that is, the function that collects all first instances of a problem in NP where a poly machine incorrectly `guesses' about the instance. We state and give in full detail a crucial result on the computation of Goedel numbers for some families of poly machines.

  14. Wigner's function and other distribution functions in mock phase space

    International Nuclear Information System (INIS)

    Balazs, N.L.

    1984-01-01

    This review deals with the methods of associating functions with quantum mechanical operators in such a manner that these functions should furnish conveniently semiclassical approximations. We present a unified treatment of methods and results which usually appear under expressions such as Wigner's function. Weyl's association, Kirkwood's expansion, Glauber's coherent state representation, etc.; we also construct some new associations. Section 1 gives the motivation by discussing the Thomas-Fermi theory of an atom with this end in view. Section 2 introduce new operators which resemble Dirac delta functions with operator arguments, the operators being the momenta and coordinates. Reasons are given as to why this should be useful. Next we introduce the notion of an operator basis, and discuss the possibility and usefulness of writing an operator as a linear combination of the basis operators. The coefficients in the linear combination are c-numbers and the c-numbers are associated with the operator (in that particularly basis). The delta function type operators introduced before can be used as a basis for the dynamical operators, and the c-numbers obtained in this manner turn out to be the c-number functions used by Wigner, Weyl, Krikwood, Glauber, etc. New bases and associations can now be invented at will. One such new basis is presented and discussed. The reason and motivations for choosing different bases is then explained. The copious and seemingly random mathematical relations between these functions are then nothing else but the relations between the expansion coefficients engendered by the relations between bases. These are shown and discussed in this light. A brief discussion is then given to possible transformation of the p, q labels. Section 3 gives examples of how the semiclassical expansions are generated for these functions and exhibits their equivalence. The mathematical paraphernalia are collected in the appendices. (orig.)

  15. Functional Abdominal Pain: "Get" the Function, Loose the Pain.

    Science.gov (United States)

    Draeger-Muenke, Reinhild

    2015-07-01

    Functional abdominal pain is a mind-body, psychosocial, and self-reinforcing experience with significant consequences for the sufferer and the surrounding support network. The occurrence of unpredictable symptoms and their severity add an element of dread and feeling out-of-control to daily life and often reduce overall functioning in a downward spiral. Two clinical presentations of functional abdominal pain are offered in this article (composites to protect confidentiality) dealing with abdominal pain syndrome and abdominal migraines. The treatment demonstrates the use of hypnotic principles for self-regulation, exploration, and meaning-making. Hypnosis treatment is conducted in combination with mindfulness-based interventions and Traditional Chinese Medicine's (TCM) teachings regarding abdominal health and illness. The clinical examples illustrate medical findings that suggest children with early life stress and an early onset of gastrointestinal somatization may not simply outgrow their functional abdominal pain but may suffer into adulthood.

  16. A generating function for a class of effective Chew-Mandelstam functions

    International Nuclear Information System (INIS)

    Reid, J.H.

    1982-12-01

    We have obtained the generating function for a class of effective Chew-Mandelstam functions for arbitrary integral angular momentum. From this a closed formula for the Chew-Mandelstam functions themselves is derived in both the simple equal mass case and in the more complicated case of unequal masses

  17. Ecological Functions of Landscapes

    Science.gov (United States)

    Kiryushin, V. I.

    2018-01-01

    Ecological functions of landscapes are considered a system of processes ensuring the development, preservation, and evolution of ecosystems and the biosphere as a whole. The concept of biogeocenosis can be considered a model that integrates biotic and environmental functions. The most general biogeocenotic functions specify the biodiversity, biotic links, self-organization, and evolution of ecosystems. Close interaction between biocenosis and the biotope (ecotope) is ensured by the continuous exchange of matter, energy, and information. Ecotope determines the biocenosis. The group of ecotopic functions includes atmospheric (gas exchange, heat exchange, hydroatmospheric, climate-forming), lithospheric (geodynamic, geophysical, and geochemical), hydrologic and hydrogeologic functions of landscape and ecotopic functions of soils. Bioecological functions emerge as a result of the biotope and ecotope interaction; these are the bioproductive, destructive, organoaccumulative, biochemical (gas, concentration, redox, biochemical, biopedological), pedogenetic, and energy functions

  18. Symmetric q-Bessel functions

    Directory of Open Access Journals (Sweden)

    Giuseppe Dattoli

    1996-05-01

    Full Text Available q analog of bessel functions, symmetric under the interchange of q and q^ −1 are introduced. The definition is based on the generating function realized as product of symmetric q-exponential functions with appropriate arguments. Symmetric q-Bessel function are shown to satisfy various identities as well as second-order q-differential equations, which in the limit q → 1 reproduce those obeyed by the usual cylindrical Bessel functions. A brief discussion on the possible algebraic setting for symmetric q-Bessel functions is also provided.

  19. 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 $p$....

  20. Using the structure-function linkage database to characterize functional domains in enzymes.

    Science.gov (United States)

    Brown, Shoshana; Babbitt, Patricia

    2014-12-12

    The Structure-Function Linkage Database (SFLD; http://sfld.rbvi.ucsf.edu/) is a Web-accessible database designed to link enzyme sequence, structure, and functional information. This unit describes the protocols by which a user may query the database to predict the function of uncharacterized enzymes and to correct misannotated functional assignments. The information in this unit is especially useful in helping a user discriminate functional capabilities of a sequence that is only distantly related to characterized sequences in publicly available databases. Copyright © 2014 John Wiley & Sons, Inc.

  1. Clinical impact of anatomo-functional evaluation of brain function during brain tumor surgery

    International Nuclear Information System (INIS)

    Mikuni, Nobuhiro; Kikuchi, Takayuki; Matsumoto, Atsushi; Yokoyama, Yohei; Takahashi, Jun; Hashimoto, Nobuo

    2009-01-01

    To attempt to improve surgical outcome of brain surgery, clinical significance of anatomo-functional evaluation of brain function during resection of brain tumors was assessed. Seventy four patients with glioma located near eloquent areas underwent surgery while awake. Intraoperative tractography-integrated functional neuronavigation and cortical/subcortical electrical stimulation were correlated with clinical symptoms during and after resection of tumors. Cortical functional areas were safely removed with negative electric stimulation and eloquent cortices could be removed in some circumstances. Subcortical functional mapping was difficult except for motor function. Studying cortical functional compensation allows more extensive removal of brain tumors located in the eloquent areas. (author)

  2. Functional-logic simulation of IP-blocks dose functional failures

    Directory of Open Access Journals (Sweden)

    Vyacheslav M. Barbashov

    2017-11-01

    Full Text Available The technique of functional-logical simulation of System-on-Chip (SoC total dose radiation failures is presented based on fuzzy logic sets theory. An analysis of the capabilities of this approach for IP-blocks radiation behavior is carried out along with the analysis of operating modes under irradiation influence on IP-blocks radiation behavior. The following elements of this technique application for simulation of dose radiation failures of various types of IP-units are studied: logical elements, memory units and cells, processors. Examples of criterial membership functions and operability functions construction are given for these IP-units and for various critical parameters characterizing their failures. It is shown that when modeling total dose failures it is necessary to take into account the influence of the functional mode on the model parameters. The technique proposed allows improving the reliability of the SoC radiation hardness estimation, also for the purpose of solving the problems of information security of electronic devices.

  3. On the distribution functions in the quantum mechanics and Wigner functions

    International Nuclear Information System (INIS)

    Kuz'menkov, L.S.; Maksimov, S.G.

    2002-01-01

    The problem on the distribution functions, leading to the similar local values of the particles number, pulse and energy, as in the quantum mechanics, is formulated and solved. The method is based on the quantum-mechanical determination of the probability density. The derived distribution function coincides with the Wigner function only for the spatial-homogeneous systems. The Bogolyubov equations chain, the Liouville equation for the distribution quantum functions by any number of particles in the system, the general expression for the tensor of the dielectric permittivity of the plasma electron component are obtained [ru

  4. Spin theory of the density functional: reduced matrices and density functions

    International Nuclear Information System (INIS)

    Pavlov, R.; Delchev, Y.; Pavlova, K.; Maruani, J.

    1993-01-01

    Expressions for the reduced matrices and density functions of N-fermion systems of arbitrary order s (1<=s<=N) are derived within the frame of rigorous spin approach to the density functional theory (DFT). Using the local-scale transformation method and taking into account the particle spin it is shown that the reduced matrices and density functions are functionals of the total one-fermion density. Similar dependence is found for the distribution density of s-particle aggregates. Generalization and applicability of DFT to the case of s-particle ensembles and aggregates is discussed. 14 refs

  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. Effect of couple-stress on the pure bending of a prismatic bar

    International Nuclear Information System (INIS)

    Tzung, F.; Kao, B.; Ho, F.; Tang, P.

    1981-02-01

    An evaluation of the applicability of the couple-stress theory to the stress analysis of graphite structures is performed by solving a pure bending problem. The differences between solutions from the couple-stress theory and from the classical theory of elasticity are compared. It is found that the differences are sufficient to account for the inconsistencies which have often been observed between the classical elasticity theory and actual behavior of graphite under bend and tensile loadings. An experimental procedure to measure the material constants in the couple-stress theory is also suggested. The linear couple-stress theory, the origins of which go back to the turn of the last century, adds linear relations between couple-stresses and rotation gradients to the classical stress-strain law. By adopting the classical assumption that the plane cross section remains plane after deformation, the pure-bending problem is reduced to a plane couple-stress problem with traction-free boundary conditions. A general solution for an isotropic elastic prismatic bar under pure bending is then obtained using the Airy stress function and another stress function wich accounts for the couple-stresss. For a cylindrical bar, it reduces to a simple series solution. The moment-curvature and stress-curvature relations derived for a cylindrical bar from the general solution are used to examine the effect of couple-stresses. Numerical compilation of relations indicates that the couple stress parameters can be practically determined by measuring the moment-curvature ratio of various diametered specimens under bending. Although there is not sufficient data for such evaluation at present, it appears that the theory is consistent with the limited bend and tensile strength data of cylindrical specimens for H-451 graphite

  7. Tunnel ionization of H2 in a low-frequency laser field: A wave-packet approach

    International Nuclear Information System (INIS)

    Nguyen-Dang, T.; Chateauneuf, F.; Manoli, S.; Atabek, O.; Keller, A.

    1997-01-01

    The dynamics of multielectron dissociative ionization (MEDI) of H 2 in an intense IR laser pulse are investigated using a wave-packet propagation scheme. The electron tunneling processes corresponding to the successive ionizations of H 2 are expressed in terms of field-free Born-Oppenheimer (BO) potential energy surfaces (PES) by transforming the tunnel shape resonance picture into a Feshbach resonance problem. This transformation is achieved by defining a new, time-dependent electronic basis in which the bound electrons are still described by field-free BO electronic states while the ionized ones are described by Airy functions. In the adiabatic, quasistatic approximation, these functions describe free electrons under the influence of the instantaneous electric field of the laser and such an ionized electron can have a negative total energy. As a consequence, when dressed by the continuous ejected electron energy, the BO PES of an ionic channel can be brought into resonance with states of the parent species. This construction gives a picture in which wave packets are to be propagated on a continuum of coupled electronic manifolds. A reduction of the wave-packet propagation scheme to an effective five-channel problem has been obtained for the description of the first dissociative ionization process in H 2 by using Fano's formalism [U. Fano, Phys. Rev. 124, 1866 (1961)] to analytically diagonalize the infinite, continuous interaction potential matrix and by using the properties of Fano's solutions. With this algorithm, the effect that continuous ionization of H 2 has on the dissociation dynamics of the H 2 + ion has been investigated. In comparison with results that would be obtained if the first ionization of H 2 was impulsive, the wave-packet dynamics of the H 2 + ion prepared continuously by tunnel ionization are markedly nonadiabatic. (Abstract Truncated)

  8. 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...

  9. Orbital functionals in density-matrix- and current-density-functional theory

    Energy Technology Data Exchange (ETDEWEB)

    Helbig, N

    2006-05-15

    Density-Functional Theory (DFT), although widely used and very successful in the calculation of several observables, fails to correctly describe strongly correlated materials. In the first part of this work we, therefore, introduce reduced-densitymatrix- functional theory (RDMFT) which is one possible way to treat electron correlation beyond DFT. Within this theory the one-body reduced density matrix (1- RDM) is used as the basic variable. Our main interest is the calculation of the fundamental gap which proves very problematic within DFT. In order to calculate the fundamental gap we generalize RDMFT to fractional particle numbers M by describing the system as an ensemble of an N and an N+1 particle system (with N{<=}M{<=}N+1). For each fixed particle number, M, the total energy is minimized with respect to the natural orbitals and their occupation numbers. This leads to the total energy as a function of M. The derivative of this function with respect to the particle number has a discontinuity at integer particle number which is identical to the gap. In addition, we investigate the necessary and sufficient conditions for the 1- RDM of a system with fractional particle number to be N-representable. Numerical results are presented for alkali atoms, small molecules, and periodic systems. Another problem within DFT is the description of non-relativistic many-electron systems in the presence of magnetic fields. It requires the paramagnetic current density and the spin magnetization to be used as basic variables besides the electron density. However, electron-gas-based functionals of current-spin-density-functional Theory (CSDFT) exhibit derivative discontinuities as a function of the magnetic field whenever a new Landau level is occupied, which makes them difficult to use in practice. Since the appearance of Landau levels is, intrinsically, an orbital effect it is appealing to use orbital-dependent functionals. We have developed a CSDFT version of the optimized

  10. The catalystic function of leadership in efficient group functioning ...

    African Journals Online (AJOL)

    The more efficient group leaders were found to be more competent and revealed a greater task orientation. Compared to the less efficient groups, the better functioning groups were characterised by a higher degree of shared leadership. The bigger involvement in leadership functions seems to increase the competence ...

  11. The meaning of functional trait composition of food webs for ecosystem functioning.

    Science.gov (United States)

    Gravel, Dominique; Albouy, Camille; Thuiller, Wilfried

    2016-05-19

    There is a growing interest in using trait-based approaches to characterize the functional structure of animal communities. Quantitative methods have been derived mostly for plant ecology, but it is now common to characterize the functional composition of various systems such as soils, coral reefs, pelagic food webs or terrestrial vertebrate communities. With the ever-increasing availability of distribution and trait data, a quantitative method to represent the different roles of animals in a community promise to find generalities that will facilitate cross-system comparisons. There is, however, currently no theory relating the functional composition of food webs to their dynamics and properties. The intuitive interpretation that more functional diversity leads to higher resource exploitation and better ecosystem functioning was brought from plant ecology and does not apply readily to food webs. Here we appraise whether there are interpretable metrics to describe the functional composition of food webs that could foster a better understanding of their structure and functioning. We first distinguish the various roles that traits have on food web topology, resource extraction (bottom-up effects), trophic regulation (top-down effects), and the ability to keep energy and materials within the community. We then discuss positive effects of functional trait diversity on food webs, such as niche construction and bottom-up effects. We follow with a discussion on the negative effects of functional diversity, such as enhanced competition (both exploitation and apparent) and top-down control. Our review reveals that most of our current understanding of the impact of functional trait diversity on food web properties and functioning comes from an over-simplistic representation of network structure with well-defined levels. We, therefore, conclude with propositions for new research avenues for both theoreticians and empiricists. © 2016 The Author(s).

  12. Ergotic / epistemic / semiotic functions

    OpenAIRE

    Luciani , Annie

    2007-01-01

    International audience; Claude Cadoz has introduced a typology of human-environment relation, identifying three functions. This typology allows characterizing univocally, i.e. in a non-redundant manner, the computer devices and interfaces that allow human to interact with environment through and by computers. These three functions are: the epistemic function, the semiotic function, the ergotic function. Conversely to the terms epistemic and semiotic that are usual, the term ergotic has been s...

  13. New Similarity Functions

    DEFF Research Database (Denmark)

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

    2016-01-01

    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....... Our results show that the proposed functions work better than other methods proposed in the literature....

  14. Museums and Their Functions.

    Science.gov (United States)

    Osborne, Harold

    1985-01-01

    Historical background concerning the nature and function of museums is provided, and the aesthetic functions of museums are discussed. The first major aesthetic function of museums is to preserve the artistic heritage of mankind and to make it widely available. The second major function is patronage. (RM)

  15. Temperature response functions (G-functions) for single pile heat exchangers

    International Nuclear Information System (INIS)

    Loveridge, Fleur; Powrie, William

    2013-01-01

    Foundation piles used as heat exchangers as part of a ground energy system have the potential to reduce energy use and carbon dioxide emissions from new buildings. However, current design approaches for pile heat exchangers are based on methods developed for boreholes which have a different geometry, with a much larger aspect (length to diameter) ratio. Current methods also neglect the transient behaviour of the pile concrete, instead assuming a steady state resistance for design purposes. As piles have a much larger volume of concrete than boreholes, this neglects the significant potential for heat storage within the pile. To overcome these shortcomings this paper presents new pile temperature response functions (G-functions) which are designed to reflect typical geometries of pile heat exchangers and include the transient response of the pile concrete. Owing to the larger number of pile sizes and pipe configurations which are possible with pile heat exchangers it is not feasible to developed a single unified G-function and instead upper and lower bound solutions are provided for different aspects ratios. - Highlights: • We present new temperature response functions for pile heat exchangers. • The functions include transient heat transfer within the pile concrete. • Application of the functions reduces the resulting calculated temperature ranges. • Greater energy efficiency is possible by accounting for heat storage in the pile

  16. Functional Maximum Autocorrelation Factors

    DEFF Research Database (Denmark)

    Larsen, Rasmus; Nielsen, Allan Aasbjerg

    2005-01-01

    MAF outperforms the functional PCA in concentrating the interesting' spectra/shape variation in one end of the eigenvalue spectrum and allows for easier interpretation of effects. Conclusions. Functional MAF analysis is a useful methods for extracting low dimensional models of temporally or spatially......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+~+\\$\\backslash\\$cite{ramsay97} to functional maximum autocorrelation factors (MAF)\\verb+~+\\$\\backslash\\$cite{switzer85,larsen2001d}. We apply the method to biological shapes as well as reflectance spectra. {\\$\\backslash\\$bf Methods}. MAF seeks linear combination of the original variables that maximize autocorrelation between...

  17. On generating functional of vertex functions in the Yang-Mills theories

    International Nuclear Information System (INIS)

    Lavrov, P.M.; Tyutin, I.V.

    1981-01-01

    It is shown that the generating functional GITA(kappa, PHI) in the Yang-Mills gauge theories for linear gauge conditions may be written as GITA(kappa, PHI)=GITA tilde(phi(kappa, PHI))-1/2t 2 , where t is a gauge function and GITA tilde(PHI) is a universal functional independent of kappa, parameters of the gauge condition [ru

  18. Properties of Ambiguity Functions

    OpenAIRE

    Mulcahy-Stanislawczyk, John

    2014-01-01

    The use of ambiguity functions in radar signal design and analysis is very common. Understanding the various properties and meanings of ambiguity functions allow a signal designer to understand the time delay and doppler shift properties of a given signal. Through the years, several different versions of the ambiguity function have been used. Each of these functions essentially have the same physical meaning; however, the use of different functions makes it difficult to be sure that certai...

  19. 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...... to a general digital media creation cycle. This is used to point out potential power conflicts and their consequences. It is concluded that there is normally more conflict potential in vision driven digital media creation than in digital media creation in general or in software development. The method...

  20. Challenging stereotypes: sexual functioning of single adults with high functioning autism spectrum disorder.

    Science.gov (United States)

    Byers, E Sandra; Nichols, Shana; Voyer, Susan D

    2013-11-01

    This study examined the sexual functioning of single adults (61 men, 68 women) with high functioning autism and Asperger syndrome living in the community with and without prior relationship experience. Participants completed an on-line questionnaire assessing autism symptoms, psychological functioning, and various aspects of sexual functioning. In general participants reported positive sexual functioning. Participants without prior relationship experience were significantly younger and more likely to be male and identify as heterosexual. They reported significantly higher sexual anxiety, lower sexual arousability, lower dyadic desire, and fewer positive sexual cognitions. The men reported better sexual function than did the women in a number of areas. These results counter negative societal perceptions about the sexuality of high functioning individuals on the autism spectrum.