Quantum anharmonic oscillator: The airy function approach
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.
Airy Equation for the Topological String Partition Function in a Scaling Limit
Alim, Murad; Yau, Shing-Tung; Zhou, Jie
2016-04-01
We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies in a scaling limit to all orders in perturbation theory for any Calabi-Yau threefold. The partition function in this limit satisfies an Airy differential equation in a rescaled topological string coupling. One of the two solutions of this equation gives the perturbative expansion and the other solution provides geometric hints of the non-perturbative structure of topological string theory. Both solutions can be expanded naturally around strong coupling.
Airy Equation for the Topological String Partition Function in a Scaling Limit
Alim, Murad; Yau, Shing-Tung; Zhou, Jie
2016-06-01
We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies in a scaling limit to all orders in perturbation theory for any Calabi-Yau threefold. The partition function in this limit satisfies an Airy differential equation in a rescaled topological string coupling. One of the two solutions of this equation gives the perturbative expansion and the other solution provides geometric hints of the non-perturbative structure of topological string theory. Both solutions can be expanded naturally around strong coupling.
The ‘paraxiality’ of some Airy-function-related beams is discussed specifically on the basis of two paraxiality criteria, the paraxiality estimator and the degree of paraxiality, that have been recently introduced in the literature with the intent of assessing the limits of the paraxial approach to light field propagation analysis and of quantifying the paraxiality of a light beam. (paper)
The generalized Airy diffusion equation
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.
Natural focusing of symmetric Airy beams
Jauregui, R
2014-01-01
In this work we study the natural focusing of Airy beams symmetric under reflection of the transverse coordinates. Following a recent proposal, their angular spectra depend on the absolute value of the third power of the transverse components of the wave vector. We show that these beams are related to Airy and Scorer special functions. The caustics have a morphology that does not correspond to the ones described by standard catastrophe optics. The structural stability of symmetric Airy beams is experimentally probed
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.
Acoustic non-diffracting Airy beam
Lin, Zhou; Guo, Xiasheng, E-mail: guoxs@nju.edu.cn; Tu, Juan [Key Laboratory of Modern Acoustics (MOE), Institute of Acoustics, School of Physics, Nanjing University, Nanjing 210093 (China); Ma, Qingyu [Key Laboratory of Modern Acoustics (MOE), Institute of Acoustics, School of Physics, Nanjing University, Nanjing 210093 (China); School of Physics and Technology, Nanjing Normal University, Nanjing 210046 (China); Wu, Junru [Department of Physics, University of Vermont, Burlington, Vermont 05405 (United States); Zhang, Dong, E-mail: dzhang@nju.edu.cn [Key Laboratory of Modern Acoustics (MOE), Institute of Acoustics, School of Physics, Nanjing University, Nanjing 210093 (China); The State Key Laboratory of Acoustics, Chinese Academy of Science, Beijing 10080 (China)
2015-03-14
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.
Acoustic non-diffracting Airy beam
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
One and two vector sigma models are defined that possess catastrophes in their action. Each catastrophe defines a double scaling limit at N→∞. Critical indices are calculated and the Airy functions are shown to satisfy RG equations. Copyright copyright 1996 Academic Press, Inc
Generation of electron Airy beams.
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. PMID:23426323
The 90deg excitation function for elastic 12C+12C scattering. The importance of Airy elephants
The 90deg excitation function for elastic 12C+12C 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 12C+12C 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.)
Estonian Airi hoiatusstreiki ei tule
2008-01-01
Estonian Airi juhtkond ja Eesti Transpordi- ja Teetöötajate Ametiühingu Estonian Airi maapealse teeninduse osakondade usaldusisikud jõudsid kollektiivlepingu tingimustes kokkuleppele ning kavandatud hoiatusstreik jääb ära
Guoquan Zhou; Xiuxiang Chu; Jun Zheng
2008-01-01
The description of a plane wave diffracted by a circular aperture is directly started from the Maxwell's equations. Based on the vector angular spectrum representation of Maxwell's equations, the diffracted plane wave is decomposed into the TE and TM terms. The analytical TE and TM terms in the far field are presented by stationary phase. As the TE and TM terms are orthogonal to each other in the far field, their sum constitutes the so-called Airy disc pattern. Therefore, this research reveals the composition of Airy disc, which is beneficial to deepen and enhance the recognition of the classical diffraction problem.
Stochastic Airy semigroup through tridiagonal matrices
Gorin, Vadim; Shkolnikov, Mykhaylo
2016-01-01
We determine the operator limit for large powers of random tridiagonal matrices as the size of the matrix grows. The result provides a novel expression in terms of functionals of Brownian motions for the Laplace transform of the Airy$_\\beta$ process, which describes the largest eigenvalues in the $\\beta$ ensembles of random matrix theory. Another consequence is a Feynman-Kac formula for the stochastic Airy operator of Ram\\'{i}rez, Rider, and Vir\\'{a}g. As a side result, we find that the diffe...
Accelerating Airy beams in the presence of inhomogeneities
Besieris, Ioannis M.; Shaarawi, Amr M.; Zamboni-Rached, Michel
2016-06-01
Studies have already been made of accelerating Airy beams in the presence of deterministic inhomogeneities, illustrating, in particular, that the inherent self-healing properties of such beams are preserved. The cases of a range-dependent linear transverse potential and a converging GRIN structure (harmonic oscillator) have been examined thoroughly. Examples will be given in this article of novel accelerating Airy beams in the presence of five other types of potential functions. Three of the resulting exact analytical solutions have a common salient characteristic property: they are constructed using the free-space accelerating Airy beam solution as a seed.
Exchange energy in the local Airy gas approximation
Vitos, Levente; Johansson, B.; Kollár, J; Skriver, Hans Lomholt
2000-01-01
The Airy gas model of the edge electron gas is used to construct an exchange-energy functional which 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 functional performs better than the local density approximation in all cases and better than the generalized gradient approximation for solids and surfaces.
Controllable Airy-like beams induced by tunable phase patterns
Li, D.; Qian, Y.
2016-01-01
We propose and experimentally observe a novel family of Airy-like beams. First, we theoretically investigate the physical generation of our proposed controllable Airy-like beams by introducing a rotation angle factor into the phase function, which can regulate and flexibly control the beam wavefront. Meanwhile we can also readily control the main lobes of these beams to follow appointed parabolic trajectories using the rotation angle factor. We also demonstrate that the controllable Airy-like beams lack the properties of being diffraction-free and self-healing. The experiments are performed and the results are in accord with the theoretical simulations. We believe that the intriguing characteristics of our proposed Airy-like beams could provide more degrees of freedom, and are likely to give rise to new applications and lend versatility to the emerging field.
Airy structure in $^{16}$O+$^{14}$C nuclear rainbow scattering
Ohkubo, S
2015-01-01
The Airy structure in $^{16}$O+$^{14}$C rainbow scattering is studied with an extended double folding (EDF) model that describes all the diagonal and off-diagonal coupling potentials derived from the microscopic realistic wave functions for $^{16}$O using a density-dependent nucleon-nucleon force. The experimental angular distributions at $E_L$=132, 281 and 382.2 MeV are well reproduced by the calculations. By studying the energy evolution of the Airy structure, the Airy minimum at around $\\theta$=76$^\\circ$ in the angular distribution at $E_L$=132 MeV is assigned as the second order Airy minimum $A2$ in contrast to the recent literature which assigns it as the third order $A3$. The Airy minima in the 90$^\\circ$ excitation function is investigated in comparison with well-known $^{16}$O+$^{16}$O and $^{12}$C+$^{12}$C systems. Evolution of the Airy structure into the molecular resonances with the $^{16}$O+$^{14}$C cluster structure in the low energy region around $E_{c.m.}$=30 MeV is discussed. It is predicted ...
Estonian Airi uued soodsad pakkumised
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
Airy beam optical parametric oscillator
Aadhi, A.; Chaitanya, N. Apurv; Jabir, M. V.; Vaity, Pravin; Singh, R. P.; Samanta, G. K.
2016-01-01
Airy beam, a non-diffracting waveform, has peculiar properties of self-healing and self-acceleration. Due to such unique properties, the Airy beam finds many applications including curved plasma wave-guiding, micro-particle manipulation, optically mediated particle clearing, long distance communication, and nonlinear frequency conversion. However, many of these applications including laser machining of curved structures, generation of curved plasma channels, guiding of electric discharges in a curved path, study of nonlinear propagation dynamics, and nonlinear interaction demand Airy beam with high power, energy, and wavelength tunability. Till date, none of the Airy beam sources have all these features in a single device. Here, we report a new class of coherent sources based on cubic phase modulation of a singly-resonant optical parametric oscillator (OPO), producing high-power, continuous-wave (cw), tunable radiation in 2-D Airy intensity profile existing over a length >2 m. Based on a MgO-doped periodically poled LiNbO3 crystal pumped at 1064 nm, the Airy beam OPO produces output power more than 8 W, and wavelength tunability across 1.51–1.97 μm. This demonstration gives new direction for the development of sources of arbitrary structured beams at any wavelength, power, and energy in all time scales (cw to femtosecond). PMID:27143582
Airy beam optical parametric oscillator.
Aadhi, A; Chaitanya, N Apurv; Jabir, M V; Vaity, Pravin; Singh, R P; Samanta, G K
2016-01-01
Airy beam, a non-diffracting waveform, has peculiar properties of self-healing and self-acceleration. Due to such unique properties, the Airy beam finds many applications including curved plasma wave-guiding, micro-particle manipulation, optically mediated particle clearing, long distance communication, and nonlinear frequency conversion. However, many of these applications including laser machining of curved structures, generation of curved plasma channels, guiding of electric discharges in a curved path, study of nonlinear propagation dynamics, and nonlinear interaction demand Airy beam with high power, energy, and wavelength tunability. Till date, none of the Airy beam sources have all these features in a single device. Here, we report a new class of coherent sources based on cubic phase modulation of a singly-resonant optical parametric oscillator (OPO), producing high-power, continuous-wave (cw), tunable radiation in 2-D Airy intensity profile existing over a length >2 m. Based on a MgO-doped periodically poled LiNbO3 crystal pumped at 1064 nm, the Airy beam OPO produces output power more than 8 W, and wavelength tunability across 1.51-1.97 μm. This demonstration gives new direction for the development of sources of arbitrary structured beams at any wavelength, power, and energy in all time scales (cw to femtosecond). PMID:27143582
Airy beam optical parametric oscillator
Aadhi, A.; Chaitanya, N. Apurv; Jabir, M. V.; Vaity, Pravin; Singh, R. P.; Samanta, G. K.
2016-05-01
Airy beam, a non-diffracting waveform, has peculiar properties of self-healing and self-acceleration. Due to such unique properties, the Airy beam finds many applications including curved plasma wave-guiding, micro-particle manipulation, optically mediated particle clearing, long distance communication, and nonlinear frequency conversion. However, many of these applications including laser machining of curved structures, generation of curved plasma channels, guiding of electric discharges in a curved path, study of nonlinear propagation dynamics, and nonlinear interaction demand Airy beam with high power, energy, and wavelength tunability. Till date, none of the Airy beam sources have all these features in a single device. Here, we report a new class of coherent sources based on cubic phase modulation of a singly-resonant optical parametric oscillator (OPO), producing high-power, continuous-wave (cw), tunable radiation in 2-D Airy intensity profile existing over a length >2 m. Based on a MgO-doped periodically poled LiNbO3 crystal pumped at 1064 nm, the Airy beam OPO produces output power more than 8 W, and wavelength tunability across 1.51–1.97 μm. This demonstration gives new direction for the development of sources of arbitrary structured beams at any wavelength, power, and energy in all time scales (cw to femtosecond).
Self accelerating electron Airy beams
Voloch-Bloch, Noa; Lilach, Yigal; Gover, Avraham; Arie, Ady
2013-01-01
We report the first experimental generation and observation of Airy beams of free electrons. The electron Airy beams are generated by diffraction of electrons through a nanoscale hologram, that imprints a cubic phase modulation on the beams' transverse plane. We observed the spatial evolution dynamics of an arc-shaped, self accelerating and shape preserving electron Airy beams. We directly observed the ability of electrons to self-heal, restoring their original shape after passing an obstacle. This electromagnetic method opens up new avenues for steering electrons, like their photonic counterparts, since their wave packets can be imprinted with arbitrary shapes or trajectories. Furthermore, these beams can be easily manipulated using magnetic or electric potentials. It is also possible to efficiently self mix narrow beams having opposite signs of acceleration, hence obtaining a new type of electron interferometer.
Bohmian Trajectories of Airy Packets
Nassar, Antonio B.; Miret-Artés, Salvador
2014-01-01
The discovery of Berry and Balazs in 1979 that the free-particle Schrödinger equation allows a non-dispersive and accelerating Airy-packet solution has taken the folklore of quantum mechanics by surprise. Over the years, this intriguing class of wave packets has sparked enormous theoretical and experimental activities in related areas of optics and atom physics. Within the Bohmian mechanics framework, we present new features of Airy wave packet solutions to Schrödinger equation with time-depe...
Airy plasmons in graphene based waveguides
Li, Rujiang; Lin, Xiao; Chen, Hongsheng
2016-01-01
In this paper, we propose that both the quasi-transverse-magnetic (TM) and quasi-transverseelectric (TE) Airy plasmons can be supported in graphene-based waveguides. The solution of Airy plasmons is calculated analytically and the existence of Airy plasmons is studied under the paraxial approximation. Due to the tunability of the chemical potential of graphene, the self-accelerating behavior of quasi-TM Airy plasmons can be steered effectively, especially in multilayer graphene based waveguides. Besides the metals, graphene provides an additional platform to investigate the propagation of Airy plasmons and to design various plasmonic devices.
Space-variant polarized Airy beam
Chen, Hao
2015-01-01
We experimentally generate an Airy beam with polarization structure while keeping its original amplitude and phase profile intact. This class of Airy beam preserves the acceleration properties. By monitoring their initial polarization structure we have provided insight concerning the self-healing mechanism of Airy beams. We investigate both theoretically and experimentally the self-healing polarization properties of the space-variant polarized Airy beams. Amplitude as well as the polarization structure tends to reform during propagation in spite of the severe truncation of the beam by finite apertures.
Lahcen Ez-Zariy; Salima Hennani; Hamid Nebdi; Abdelmajid Belafhal
2014-01-01
Propagation characteristics of finite Airy-Gaussian beams through an apertured misaligned first-order ABCD optical system are studied. In this work, the generalized Huygens-Fresnel diffraction integral and the expansion of the hard aperture function into a finite sum of complex Gaussian functions are used. The propagation of Airy-Gaussian beam passing through: an unapertured misaligned optical system, an apertured aligned ABCD optical system and an unapertured aligned ABCD opti...
Singh, Brijesh Kumar; Remez, Roei; Tsur, Yuval; Arie, Ady
2015-11-15
Special beams, including the Airy beam and the vortex-embedded Airy beam, draw much attention due to their unique features and promising applications. Therefore, it is necessary to devise a straightforward method for measuring these peculiar features of the beams with ease. Hence we present the astigmatic transformation of Airy and Airy-vortex beam. The "acceleration" coefficient of the Airy beam is directly determined from a single image by fitting the astigmatically transformed beam to an analytic expression. In addition, the orbital angular momentum of optical vortex in Airy-vortex beam is measured directly using a single image. PMID:26565887
Airy-type solitary wave in highly noninstantaneous Kerr media.
Deng, Fu; Hong, Weiyi; Deng, Dongmei
2016-07-11
We investigate the dynamics of a decelerating Airy pulse in the highly noninstantaneous Kerr media. It is found that the deceleration of the Airy pulse can be counteracted by the highly noninstantaneous nonlinearity. When the power of the pulse is specifically chosen, the deceleration of the Airy pulse can be totally restrained, and an Airy-type solitary wave is observed within several dispersion lengths. PMID:27410868
Airy asymptotics: the logarithmic derivative and its reciprocal
Kearney, Michael J [Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, Surrey, GU2 7XH (United Kingdom); Martin, Richard J [AHL, Man Investments Limited, Sugar Quay, Lower Thames Street, London, EC3R 6DU (United Kingdom)], E-mail: m.j.kearney@surrey.ac.uk
2009-10-23
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| {yields} {infinity}. 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.
Ultrafast Airy beam optical parametric oscillator.
Apurv Chaitanya, N; Kumar, S Chaitanya; Aadhi, A; Samanta, G K; Ebrahim-Zadeh, M
2016-01-01
We report on the first realization of an ultrafast Airy beam optical parametric oscillator (OPO). By introducing intracavity cubic phase modulation to the resonant Gaussian signal in a synchronously-pumped singly-resonant OPO cavity and its subsequent Fourier transformation, we have generated 2-dimensional Airy beam in the output signal across a 250 nm tuning range in the near-infrared. The generated Airy beam can be tuned continuously from 1477 to 1727 nm, providing an average power of as much as 306 mW at 1632 nm in pulses of ~23 ps duration with a spectral bandwidth of 1.7 nm. PMID:27476910
We study versions of a generalized Teodorescu transform. In the 2-dimensional case we can describe the asymptotic behaviour by the help of modified Bessel functions. In 3-dimensional case we only have an upper estimate. Such estimates are necessary to prove the convergence of a semi-discretization method for a higher-dimensional analogue of an equation of Airy's type.
Generalisasi Fungsi Airy sebagai Solusi Analitik Persamaan Schrodinger Nonlinier
Lukman Hakim
2012-05-01
Full Text Available Persamaan Schrodinger adalah persamaan diferensial parsial nonlinier yang menginterpretasikan pergerakan suatu partikel atau atom. Penelitian ini berupaya untuk memperoleh analisis konstruksi bentuk umum solusi ananalitik persamaan Schrodinger nonlinier dengan fungsi Airy. Fungsi Airy adalah solusi persamaan diferensial Airy, adapun langkah pertama adalah manipulasi bentuk persamaan Schrodinger nonlinier menjadi bentuk persamaan Airy dengan menerapkan transformasi Fourier. Dengan demikian didapatkan solusia nanalitik persamaan Airy dengan generalisasi fungsi Airy. Dan langkah selanjutnya adalah menerapkan invers dari transformasi Fourier yang digunakan untuk memdapatkan solusi analitik bagi persamaan Schrodinger nonlinier, dalam hal ini diberikan kondisi awal bilangan kompleks pada invers transformasi Fourier, yaitu. Adapun hasil dari penelitian ini adalah solusi bagi persamaan Schrodinger nonlinier ketika pangkat dari modulusnya di analisis dengan bentuk ganjil dan genap memberikan bentuk solusi yang sama.
Generation and near-field imaging of Airy surface plasmons
Minovich, Alexander; Janunts, Norik; Pertsch, Thomas; Neshev, Dragomir N; Kivshar, Yuri S
2011-01-01
We demonstrate experimentally the generation and near-field imaging of nondiffracting surface waves - plasmonic Airy beams, propagating on the surface of a gold metal film. The Airy plasmons are excited by an engineered nanoscale phase grating, and demonstrate significant beam bending over their propagation. We show that the observed Airy plasmons exhibit self-healing properties, suggesting novel applications in plasmonic circuitry and surface optical manipulation.
Underwater inspection robot - AIRIS 21''trademark''
Highly reliable, cost-effective and extended examination coverage are three big demands for newly developed ISI equipment. AIRIS 21 (advanced inspection system for reactor pressure vessel and internals) which is a state-of-the-art next generation device, has been developed to reply to these demands. The device can reduce the inspection cost and increase the reliability and inspection coverage. The AIRIS 21 swims in the water toward an area to be inspected and sticks to the vessel wall using two propellers. After it sticks on the wall, the spinning speed of propellers is controlled to keep the device on the wall with constant vacuum force. Then it travels on the wall freely by two driving wheels and one trip measuring wheel. This manner of new examination system is quite different from the other conventional BWR-ID systems. This new inspection system is dramatically reduced its size [W550 x L600 x H55 (mm)] and weight [13.6 (kg)] compared with conventional system, and also saves ISI from being a critical path work because it needs no special tools, such as a large crane for handling. With AIRIS 21, it is possible to perform ID inspection of RPV welds in parallel with fuel shuffling and other core activities. (orig.)
Refractive effects and Airy structure in inelastic $^{16}$O+$^{12}$C rainbow scattering
Ohkubo, S; Ogloblin, A A; Gloukhov, Yu A; Dem'yanova, A S; Trzaska, W H
2014-01-01
Inelastic $^{16}$O +$^{12}$C rainbow scattering to the $2^+$ (4.44 MeV) state of $^{12}$C was measured at the incident energies, $E_L$ = 170, 181, 200, 260 and 281 MeV. A systematic analysis of the experimental angular distributions was performed using the coupled channels method with an extended double folding potential derived from realistic wave functions for $^{12}$C and $^{16}$O calculated with a microscopic $\\alpha$ cluster model and a finite-range density-dependent nucleon-nucleon force.The coupled channels analysis of the measured inelastic scattering data shows consistently some Airy-like structure in the inelastic scattering cross sections for the first $2^+$ state of $^{12}$C, which is somewhat obscured and still not clearly visible in the measured data. The Airy minimum was identified from the analysis and the systematic energy evolution of the Airy structure was studied. The Airy minimum in inelastic scattering is found to be shifted backward compared with that in elastic scattering.
Kas Estonian Airi uus õhkutõus? / Toomas Peterson
Peterson, Toomas
2010-01-01
Autori hinnangul tuleks püstitada Estonian Airi ette reaalsed eesmärgid ning kokku leppida visioon lähiaastateks. Estonian Air vajab koostööd suurema lennunduspartneriga, riik ei tohiks Estonian Airis korrata endisi juhtimisvigu
Controllable circular Airy beams via dynamic linear potential
Zhong, Hua; Belić, Milivoj R; Li, Changbiao; Wen, Feng; Zhang, Zhaoyang; Zhang, Yanpeng
2016-01-01
We investigate controllable spatial modulation of circular autofocusing Airy beams, under action of different dynamic linear potentials, both theoretically and numerically. We introduce a novel treatment method in which the circular Airy beam is represented as a superposition of narrow azimuthally-modulated one-dimensional Airy beams that can be analytically treated. The dynamic linear potentials are appropriately designed, so that the autofocusing effect can either be weakened or even eliminated when the linear potential exerts a "pulling" effect on the beam, or if the linear potential exerts a "pushing" effect, the autofocusing effect can be greatly strengthened. Numerical simulations agree with the theoretical results very well.
Quasi-Airy beams along tunable propagation trajectories and directions.
Qian, Yixian; Zhang, Site
2016-05-01
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. PMID:27137563
Dynamical deformed Airy beams with arbitrary angles between two wings.
Liang, Yi; Hu, Yi; Ye, Zhuoyi; Song, Daohong; Lou, Cibo; Zhang, Xinzheng; Xu, Jingjun; Morandotti, Roberto; Chen, Zhigang
2014-07-01
We study both numerically and experimentally the acceleration and propagation dynamics of 2D Airy beams with arbitrary initial angles between their "two wings." Our results show that the acceleration of these generalized 2D Airy beams strongly depends on the initial angles and cannot be simply described by the vector superposition principle (except for the normal case of a 90° angle). However, as a result of the "Hyperbolic umbilic" catastrophe (a two-layer caustic), the main lobes of these 2D Airy beams still propagate along parabolic trajectories even though they become highly deformed. Under such conditions, the peak intensity (leading energy flow) of the 2D Airy beams cannot be confined along the main lobe, in contrast to the normal 90° case. Instead, it is found that there are two parabolic trajectories describing the beam propagation: one for the main lobe, and the other for the peak intensity. Both trajectories can be readily controlled by varying the initial wing angle. Due to their self-healing property, these beams tend to evolve into the well-known 1D or 2D Airy patterns after a certain propagation distance. The theoretical analysis corroborates our experimental observations, and explains clearly why the acceleration of deformed Airy beams increases with the opening of the initial wing angle. PMID:25121433
Accelerating airy beams generated by ultrafast laser induced space-variant nanostructures in glass
Gecevičius, M.; M. Beresna; Kazansky, P. G.
2012-01-01
We demonstrate new technique to generate accelerating Airy beam with femtosecond laser imprinted space variant birefringence produced by self-assembled nanostructures in fused silica. The technique enables dual Airy beam generation.
Vessel extraction using the Buckmaster-Airy filter
Sanchez, Valentina
2016-05-01
A new and powerful technique for vessel extraction from biomedical images using the so called Buckmaster- Airy Filter is designed, prototyped and tested. The design, the prototyping and the testing were performed using computer algebra software, specifically the Maple package ImageTools. Some preliminary experiments were performed ant the results were excellent. Our new technique is based on partial differential equations.. Specifically two dimensional Airy diffusion equation and the two dimensional Buckmaster equation were used for designing the new Buckmaster-Airy Filter. Such new filter is able to enhance the quality of an image, producing simultaneously noise elimination, but without altering the edges of the image. The new Bukmaster-Airy filter is applied to the target image via discrete convolution. The results of some experiments of vessel extraction will be presented; and some lines for future research such as the possible implementation of the Buckmaster-Airy Filter as a new plugging for the program ImageJ, will be proposed.
SAS tahab Estonian Airi liita lätlaste firmaga airBaltic / Andres Eilart
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
SAS pani Estonian Airi aktsiad müüki / Riina Kallas, Tuuli Aug
Kallas, Riina
2009-01-01
SAS müüb enamusosaluse Estonian Airis ja veel kuues tütarfirmas, majandus- ja kommunikatsiooniminister Juhan Parts näeb Estonian Airi uue osanikuna mõnda Eesti investorit. Endise Estonian Airi presidendi Erki Urva arvamus
Analytic description of Airy-type beams when truncated by finite apertures
Zamboni-Rached, Michel; Dartora, César Augusto
2012-01-01
In this paper, we have developed an analytic method for describing Airy-Type beams truncated by finite apertures. This new approach is based on suitable superposition of exponentially decaying Airy beams. Regarding both theoretical and numerical aspects, the results here shown are interesting because they have been quickly evaluated through a simple analytic solution, whose characteristics of propagation has agreed with those already published in literature through the use of numerical methods. To demonstrate the method's potentiality, three different truncated beams have been analyzed: ideal Airy, Airy-Gauss and Airy-Exponential.
Photorefractive and computational holography in the experimental generation of Airy beams
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.
Photorefractive and computational holography in the experimental generation of Airy beams
Suarez, Rafael A B; Yepes, Indira S V; Gesualdi, Marcos R R
2015-01-01
In this paper, we present the experimental generation of Airy beams via computational and photorefractive holography. Experimental generation of Airy beams using conventional optical components presents several difficulties and are practically infeasible. Thus, the optical generation of Airy beams has been made from the optical reconstruction of a computer generated hologram implemented in a spatial light modulators. In the photorefractive holography technique, being used for the first time to our knowledge, the hologram of an Airy beam is constructed (recorded) and reconstructed (reading) optically in a nonlinear photorefractive medium. The Airy beam experimental realization was made by a setup of computational and photorefractive holography using a photorefractive Bi_{12}TiO_{20} crystal as holographic recording medium. Airy beams and Airy beam arrays were obtained experimentally as in accordance with the predicted theory; and present excellent prospects for applications in optical trapping and optical comm...
Two-dimensional χ2 solitons generated by the downconversion of Airy waves.
Mayteevarunyoo, Thawatchai; Malomed, Boris A
2016-07-01
Conversion of truncated Airy waves (AWs) carried by the second-harmonic (SH) component into axisymmetric χ2 solitons is considered in a 2D system with quadratic nonlinearity. The spontaneous conversion is driven by the parametric instability of the SH wave. The input in the form of the AW vortex is also considered. As a result, one, two, or three stable solitons emerge in a well-defined form, unlike the recently studied 1D setting, where the picture is obscured by radiation jets. Shares of the total power captured by the emerging solitons and conversion efficiency are found as functions of parameters of the AW input. PMID:27367065
An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum
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.
Propagation of Airy Gaussian vortex beams in uniaxial crystals
Weihao, Yu; Ruihuang, Zhao; Fu, Deng; Jiayao, Huang; Chidao, Chen; Xiangbo, Yang; Yanping, Zhao; Dongmei, Deng
2016-04-01
The propagation dynamics of the Airy Gaussian vortex beams in uniaxial crystals orthogonal to the optical axis has been investigated analytically and numerically. The propagation expression of the beams has been obtained. The propagation features of the Airy Gaussian vortex beams are shown with changes of the distribution factor and the ratio of the extraordinary refractive index to the ordinary refractive index. The correlations between the ratio and the maximum intensity value during the propagation, and its appearing distance have been investigated. Project supported by the National Natural Science Foundation of China (Grant Nos. 11374108, 11374107, 10904041, and 11547212), the Foundation of Cultivating Outstanding Young Scholars of Guangdong Province, China, the CAS Key Laboratory of Geospace Environment, University of Science and Technology of China, the National Training Program of Innovation and Entrepreneurship for Undergraduates (Grant No. 2015093), and the Science and Technology Projects of Guangdong Province, China (Grant No. 2013B031800011).
Propagation of time-truncated Airy-type pulses in media with quadratic and cubic dispersion
Hernández, José Angel Borda; Shaarawi, Amr; Besieris, Ioannis M
2015-01-01
In this paper, we describe analytically the propagation of Airy-type pulses truncated by a finite-time aperture when second and third order dispersion effects are considered. The mathematical method presented here, based on the superposition of exponentially truncated Airy pulses, is very effective, allowing us to avoid the use of time-consuming numerical simulations. We analyze the behavior of the time truncated Ideal-Airy pulse and also the interesting case of a time truncated Airy pulse with a "defect" in its initial profile, which reveals the self-healing property of this kind of pulse solution.
Airy-like patterns in heavy ion elastic scattering
Anni, R.
2000-01-01
A semiclassical analysis of an optical potential cross section is presented. The cross section considered is characterized by the appearance of an Airy-like pattern. This pattern is similar to that which is present in many cross sections, which fit the recent measurements of light heavy ion elastic scattering, and is considered as a manifestation of a rainbow phenomenon. The semiclassical analysis shows that, in the case considered, the oscillations arise from the interference between the con...
Riik jätkab Estonian Airi ostukõnelusi / Raimo Poom
Poom, Raimo
2010-01-01
Eesti valitsus jätkab läbirääkimisi SAS-i osaluse väljaostmiseks Estonian Airist, praegu tehakse Estonian Airi õiguslikku ja finantsilist auditit. Kanadas on kolm Estonian Airi tellimusel valminud lennukit, mille Eestisse jõudmine on viibinud peaaegu aasta
Slow-light Airy wave packets and their active control via electromagnetically induced transparency
Hang, Chao
2014-01-01
We propose a scheme to generate (3+1)-dimensional slow-light Airy wave packets in a resonant $\\Lambda$-type three-level atomic gas via electromagnetically induced transparency. We show that in the absence of dispersion the Airy wave packets formed by a probe field consist of two Airy wave packets accelerated in transverse directions and a longitudinal Gaussian pulse with a constant propagating velocity lowered to $10^{-5}\\,c$ ($c$ is the light speed in vacuum). We also show that in the presence of dispersion it is possible to generate another type of slow-light Airy wave packets consisting of two Airy beams in transverse directions and an Airy wave packet in the longitudinal direction. In this case, the longitudinal velocity of the Airy wave packet can be further reduced during propagation. Additionally, we further show that the transverse accelerations (or bending) of the both types of slow-light Airy wave packets can be completely eliminated and the motional trajectories of them can be actively manipulated ...
Cresco sai lahti võlast SASile ja osalusest Estonian Airis / Rivo Sarapik, Alyona Stadnik
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
Finite element simulation of the compression behaviour of airy breakfast cereals
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.
Quantum polarization fluctuations of an Airy beam in turbulent atmosphere in a slant path.
Yin, Xia; Zhang, Licheng
2016-07-01
Polarization of light has many applications in quantum information processing, including quantum teleportation and dense coding. In this paper, we investigate the polarization fluctuations of Airy beams propagating in a slant turbulent channel under the "few-photon" limit. Using the quantum Stokes parameters and the quantum degree of polarization, we demonstrate that the degree of polarization of Airy beams increases significantly with the large number of the detection photons, and a higher photon-number level can retain the stability of polarization. Numerical simulations show that the longer propagation distance and the stronger turbulence will lead to less oscillatory behaviors and a decrease in the polarization degree of Airy beams, but a bigger exponential truncation factor will cause an increase in the polarization degree of Airy beams. In contrast with Gaussian beams, the degree of polarization of Airy beams is less affected by atmospheric turbulence and propagation distance under the same conditions, which means that Airy beams possess a resilient ability against turbulence-induced perturbations. These results indicate that Airy beams have great potential for applications in long-distance free-space optical communications to improve the performance of a polarization-encoded free-space quantum communication system. PMID:27409692
Propagation of Airy beams from right-handed material to left-handed material
Based on the ABCD matrix formalism, the propagation property of an Airy beam from right-handed material (RHM) to left-handed material (LHM) is investigated. The result shows that when the Airy beam propagates in the LHM, the intensity self-bending due to its propagation in the RHM can be compensated. In particular, if the propagation distance in the RHM is equal to that in the LHM and the refractive index of the LHM is nL = −1, the transverse intensity distribution of the Airy beam can return to its original state. (electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics)
Control on the anomalous interactions of Airy beams in nematic liquid crystals.
Shen, Ming; Li, Wei; Lee, Ray-Kuang
2016-04-18
We reveal a controllable manipulation of anomalous interactions between Airy beams in nonlocal nematic liquid crystals numerically. With the help of an in-phase fundamental Gaussian beam, attraction between in-phase Airy beams can be suppressed or become a repulsive one to each other; whereas the attraction can be strengthened when the Gaussian beam is out-of-phase. In contrast to the repulsive interaction in local media, stationary bound states of breathing Airy soliton pairs are found in nematic liquid crystals. PMID:27137288
Airy functions and the Recursive Ray Acoustics Algorithm
House, Robert Simpson
1994-01-01
This thesis examines the acquisition environment and the Marine Corps Acquisition Process as they relate to the determination of initial requirements for weapon systems in juxatposition with Congressional and public expectations. The major conclusion drawn is that greater incorporation of operational Commander's inputs will serve to develop a more viable baseline required operational capability, and that the best vehicle to record and manage these inputs may be the Remedial Action Program (RAP)
Estonian Airi Boeing sattus kaks korda hädaolukorda / Krister Kivi
Kivi, Krister, 1975-
2011-01-01
Estonian Airi Boeing ES-ABL sattus 2011. aasta algus kahel korral ohtlikku olukorda. Lennuamet tegi Estonian Airile ettekirjutuse, kuid seda pole ameti kodulehel avaldatud. Lennufirma kapteni ja lennuohutuse inspektori Andreas Kari, lennuameti selgitusi
Quantitative comparison of self-healing ability between Bessel–Gaussian beam and Airy beam
The self-healing ability during propagation process is one of the most important properties of non-diffracting beams. This ability has crucial advantages to light sheet-based microscopy to reduce scattering artefacts, increase the quality of the image and enhance the resolution of microscopy. Based on similarity between two infinite-dimensional complex vectors in Hilbert space, the ability to a Bessel–Gaussian beam and an Airy beam have been studied and compared. Comparing the evolution of the similarity of Bessel–Gaussian beam with Airy beam under the same conditions, we find that Bessel–Gaussian beam has stronger self-healing ability and is more stable than that of Airy beam. To confirm this result, the intensity profiles of Bessel–Gaussian beam and Airy beam with different similarities are numerically calculated and compared
Quantitative comparison of self-healing ability between Bessel–Gaussian beam and Airy beam
Wen, Wei [Department of Physics and Information Engineering, Huaihua University, Huaihua 418008 (China); Chu, Xiuxiang, E-mail: xiuxiangchu@yahoo.com [School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an 311300 (China)
2015-09-15
The self-healing ability during propagation process is one of the most important properties of non-diffracting beams. This ability has crucial advantages to light sheet-based microscopy to reduce scattering artefacts, increase the quality of the image and enhance the resolution of microscopy. Based on similarity between two infinite-dimensional complex vectors in Hilbert space, the ability to a Bessel–Gaussian beam and an Airy beam have been studied and compared. Comparing the evolution of the similarity of Bessel–Gaussian beam with Airy beam under the same conditions, we find that Bessel–Gaussian beam has stronger self-healing ability and is more stable than that of Airy beam. To confirm this result, the intensity profiles of Bessel–Gaussian beam and Airy beam with different similarities are numerically calculated and compared.
Guiding ultraslow weak-light bullets with Airy beams in a coherent atomic system
Hang, Chao
2014-01-01
We investigate the possibility of guiding stable ultraslow weak-light bullets by using Airy beams in a cold, lifetime-broadened four-level atomic system via electromagnetically induced transparency (EIT). We show that under EIT condition the light bullet with ultraslow propagating velocity and extremely low generation power formed by the balance between diffraction and nonlinearity in the probe field can be not only stabilized but also steered by the assisted field. In particular, when the assisted field is taken to be an Airy beam, the light bullet can be trapped into the main lobe of the Airy beam, propagate ultraslowly in longitudinal direction, accelerate in transverse directions, and move along a parabolic trajectory. We further show that the light bullet can bypass an obstacle when guided by two sequential Airy beams. A technique for generating ultraslow helical weak-light bullets is also proposed.
New Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables
The q-difference Painlevé II equation admits special solutions written in terms of determinants whose entries are the general solution of the q-Airy equation. An ultradiscrete limit of the special solutions is studied using the procedure of ultradiscretization with parity variables. Then we obtain new Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables, and the solutions have a richer structure than the known solutions. (paper)
The Airy fibre: an optical fibre that guides light diffracted by a circular aperture
Gris-Sánchez, I; Birks, T A
2016-01-01
We have designed and made an optical fibre that guides an approximate Airy pattern as one of its guided modes. The fibre's attenuation was 11.0 dB/km at 1550 nm wavelength, the match between the fibre's mode and the ideal infinite Airy pattern was 93.7%, and the far field resembled a top-hat beam. The guidance mechanism has strong similarities to photonic bandgap guidance.
Wei, Bing-Yan; Chen, Peng; Hu, Wei; Ji, Wei; Zheng, Li-Yang; Ge, Shi-Jun; Ming, Yang; Chigrinov, Vladimir; Lu, Yan-Qing
2015-12-01
Researches on Airy beams have grown explosively since the first demonstration in 2007 due to the distinguishing properties of nondiffraction, transverse acceleration and self-healing. To date, a simple and compact approach for generating Airy beams in high quality and efficiency has remained challenging. Here, we propose and demonstrate a liquid crystal (LC) polarization Airy mask (PAM) featured by spatially variant LC azimuthal director. The PAM is fabricated through photoaligning LC via a polarization-sensitive alignment agent suophonic azo dye SD1. Thanks to the special design, a novel feature of polarization-controllable switch between dual Airy beams of orthogonal circular polarization is presented. The molecular-level continuity of LC director significantly improves the quality and efficiency of resultant Airy beams. Besides, the PAM can handle intense light due to the absence of absorptive electrodes. Additional merits of compact size, low cost and broad wavelength tolerance are also exhibited. This work settles a fundamental requirement for Airy beam applications of optical manipulations, biology science and even some uncharted territories.
Evolution of the ring Airy Gaussian beams with a spiral phase in the Kerr medium
Nonlinear optical phenomena are of great practical interest in optics. The evolution of ring Airy Gaussian beams with a spiral phase in the nonlinear Kerr medium is investigated using the nonlinear Schrödinger equation. Numerical simulations indicate that the distribution factor b can influence the formation of the ring Airy Gaussian beams. Results show that the beams can be oscillating, and the light filament can be achieved under appropriate laser input power. On the other hand, the evolution of the ring Airy Gaussian beams with a spiral phase in the nonlinear Kerr medium can be implemented, and the numerical simulations of the holographic generation of the ring Airy Gaussian vortex beams propagated in the medium demonstrate that the vortex can be preserved along the propagation. The Poynting vector shows that the energy flow of the ring Airy Gaussian beams flows in the opposite direction on both sides of the focus plane; however, for beams with a spiral phase, the flow direction remains the same; the energy flow can rotate in opposite directions on both sides of the focal plane. (paper)
Evolution of the ring Airy Gaussian beams with a spiral phase in the Kerr medium
Chen, Bo; Chen, Chidao; Peng, Xi; Peng, Yulian; Zhou, Meiling; Deng, Dongmei; Guo, Hong
2016-05-01
Nonlinear optical phenomena are of great practical interest in optics. The evolution of ring Airy Gaussian beams with a spiral phase in the nonlinear Kerr medium is investigated using the nonlinear Schrödinger equation. Numerical simulations indicate that the distribution factor b can influence the formation of the ring Airy Gaussian beams. Results show that the beams can be oscillating, and the light filament can be achieved under appropriate laser input power. On the other hand, the evolution of the ring Airy Gaussian beams with a spiral phase in the nonlinear Kerr medium can be implemented, and the numerical simulations of the holographic generation of the ring Airy Gaussian vortex beams propagated in the medium demonstrate that the vortex can be preserved along the propagation. The Poynting vector shows that the energy flow of the ring Airy Gaussian beams flows in the opposite direction on both sides of the focus plane; however, for beams with a spiral phase, the flow direction remains the same; the energy flow can rotate in opposite directions on both sides of the focal plane.
Lossless Airy Surface Polaritons in a Metamaterial via Active Raman Gain
Zhang, Qi; Huang, Guoxiang
2016-01-01
We propose a scheme to realize a lossless propagation of linear and nonlinear Airy surface polaritons (SPs) via active Raman gain (ARG). The system we suggest is a planar interface superposed by a negative index metamaterial (NIMM) and a dielectric, where three-level quantum emitters are doped. By using the ARG from the quantum emitters and the destructive interference effect between the electric and magnetic responses from the NIMM, we show that not only the Ohmic loss of the NIMM but also the light absorption of the quantum emitters can be completely eliminated. As a result, non-diffractive Airy SPs may propagate for very long distance without attenuation. We also show that the Kerr nonlinearity of the system can be largely enhanced due to the introduction of the quantum emitters and hence lossless Airy surface polaritonic solitons with very low power can be generated in the system.
"Translocal Express" tembutab jälle / Rael Artel, Airi Triisberg
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"
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
SAS võib omapoolse panusena kustutada osa Estonian Airi laenust / Gert D. Hankewitz
Hankewitz, Gert D.
2011-01-01
Lennufirma SAS investorsuhete asepresidendi Sture Stoleni sõnul ei ole tõenäoline, et nende firma maksaks mingit raha Estonian Airi kapitali, küll aga ei saa välistada võimalust, et võidakse kustutada osa antud laenust
Nonlinear dynamics of Airy-Vortex 3D wave packets: Emission of vortex light waves
Driben, Rodislav
2014-01-01
The dynamics of 3D Airy-vortex wave packets is studied under the action of strong self-focusing Kerr nonlinearity. Emissions of nonlinear 3D waves out of the main wave packets with the topological charges were demonstrated. Due to the conservation of the total angular momentum, charges of the emitted waves are equal to those carried by the parental light structure. The rapid collapse imposes a severe limitation on the propagation of multidimensional waves in Kerr media. However, the structure of the Airy beam carrier allows the coupling of light from the leading, most intense peak into neighboring peaks and consequently strongly postpones the collapse. The dependence of the critical input amplitude for the appearance of a fast collapse on the beam width is studied for wave packets with zero and non-zero topological charges. Wave packets carrying angular momentum are found to be much more resistant to the rapid collapse, especially those having small width.
Wavelength estimation by using the Airy disk from a diffraction pattern with didactic purposes
Rivera-Ortega, Uriel; Pico-Gonzalez, Beatriz
2016-01-01
In this paper a simple and easy to implement method that uses the Airy disk generated from a Fraunhofer diffraction pattern due to a circular aperture will be used to estimate the wavelength of the illuminating laser source. This estimation is based on the measurement of the Airy disk diameter, whose approximation is directly proportional to the wavelength of the light source and to the distance between the aperture and the image plane; and inversely proportional to the diameter of the aperture. Due to the characteristics and versatility of the present proposal, this is perfectly suitable for use in graduate or undergraduate physics laboratories, or even in classrooms for educational and/or demonstrative purposes.
Supremum of the Airy2 Process Minus a Parabola on a Half Line
Quastel, Jeremy; Remenik, Daniel
2013-02-01
Let {A}2(t) be the Airy2 process. We show that the random variable sup_{t≤α} bigl\\{{A}_2(t)-t^2 bigr\\}+min\\{0,α \\}^2 has the same distribution as the one-point marginal of the Airy2→1 process at time α. These marginals form a family of distributions crossing over from the GUE Tracy-Widom distribution F GUE( x) for the Gaussian Unitary Ensemble of random matrices, to a rescaled version of the GOE Tracy-Widom distribution F GOE(41/3 x) for the Gaussian Orthogonal Ensemble. Furthermore, we show that for every α the distribution has the same right tail decay e^{-4/3 x^{3/2} }.
Shaping symmetric Airy beam through binary amplitude modulation for ultralong needle focus
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
Shaping symmetric Airy beam through binary amplitude modulation for ultralong needle focus
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.
Shaping symmetric Airy beam through binary amplitude modulation for ultralong needle focus
Fang, Zhao-Xiang; Gong, Lei; Vaveliuk, Pablo; Chen, Yue; Lu, Rong-De
2015-01-01
Needle-like electromagnetic fields has various advantages for the applications in high-resolution imaging, Raman Spectroscopy, as well as long-distance optical transportation. The realization of such field often requires high numerical aperture (NA) objective lens and the transmission masks. We demonstrate an ultralong needle-like focus in the optical range produced with an ordinary lens. This is achieved by focusing a symmetric Airy beam (SAB) generated via binary spectral modulation with a digital micromirror device(DMD). Such amplitude modulation technique is able to shape traditional Airy beams, SABs, as well as the dynamic transition modes between the one-dimensional(1D) and two-dimensional (2D) symmetric Airy modes. The created 2D SAB was characterized through measurement of the propagating fields with one of the four main lobes blocked by an opaque mask. The 2D SAB was verified to exhibit self-healing property against propagation with the obstructed major lobe reconstructed after a certain distance. We...
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
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
Yuan, Wu
2015-12-01
We discuss a novel method for generating hyper-broadband mid-infrared (MIR) supercontinua (SC) with coherent bandwidth from ~2 μm to ~10 μm by using As2Se3 photonic crystal fiber (PCF) and a 4.1 μm pump with femtosecond (fs) Airy pulse profile. Our simulations confirm that, when pumping in the normal dispersion region, the deceleration and self-healing properties of the Airy pulse can suppress the incoherent noise in modulational instability (MI) induced SC generation and maintain the pulse coherence over a long propagation distance. We also find that fs Airy pulse can generate an MIR SC with a broader coherent bandwidth than these can be achieved with fs parabolic secant pulse.
Generation of χ(2) solitons from the Airy wave through the parametric instability.
Mayteevarunyoo, Thawatchai; Malomed, Boris A
2015-11-01
Spontaneous creation of solitons in quadratic media by the downconversion (i.e., parametric instability against the generation of fundamental-frequency excitations) from the truncated Airy-wave (AW) mode in the second-harmonic component is studied. Parameter regions are identified for the generation of one, two, and three solitons, with additional small-amplitude "jets." Shares of the total power carried by individual solitons are found. Also considered are soliton patterns generated by the downconversion from a pair of AWs bending in opposite directions. PMID:26512490
Generation of accelerating Airy and accelerating parabolic beams using phase-only patterns
Davis, Jeffrey A.; Mitry, Mark J.; Bandres, Miguel A.; Ruiz, Isaac; McAuley, Kevin-P; Cottrell, Don M.
2009-01-01
We generate both accelerated Airy and accelerated parabolic beams using phase-only patterns encoded onto a liquid crystal display (LCD). The usual system length is 2f, where f is the focal length of the Fourier transform lens. We develop a compact optical system having a total system length of f. However, the mask must now incorporate the Fresnel diffraction that is not provided by the reduced optical system length. Finally we incorporate the Fourier transform lens onto the mask. We obtain ex...
Bound states of breathing Airy-Gaussian beams in nonlocal nonlinear medium
Zhang, Xiaping
2016-05-01
With a nonlocal model, we investigate the propagation dynamics of a single Airy-Gaussian (AiG) beam and their interaction in one-dimensional condition by means of direct numerical simulations. With the split-step Fourier method, numerical results shows that nonlocality can support periodic intensity distribution of AiG beams leading to the formation of stable bound states. Especially, by tuning the phase difference between the two beams, we can steer the center of the bound AiG beams in nonlocal nonlinear media.
Asymptotics for the Covariance of the Airy2 Process
Shinault, Gregory; Tracy, Craig A.
2011-04-01
In this paper we compute some of the higher order terms in the asymptotic behavior of the two point function {P}({A}2(0)≤ s1,A2(t)≤ s2), extending the previous work of Adler and van Moerbeke (arXiv:math.PR/0302329; Ann. Probab. 33, 1326-1361, 2005) and Widom (J. Stat. Phys. 115, 1129-1134, 2004). We prove that it is possible to represent any order asymptotic approximation as a polynomial and integrals of the Painlevé II function q and its derivative q'. Further, for up to tenth order we give this asymptotic approximation as a linear combination of the Tracy-Widom GUE density function f 2 and its derivatives. As a corollary to this, the asymptotic covariance is expressed up to tenth order in terms of the moments of the Tracy-Widom GUE distribution.
Duxbury, Thomas; Neukum, Gerhard; Smith, David E.; Christensen, Philip; Neumann, Gregory; Albee, Arden; Caplinger, Michael; Seregina, N. V.; Kirk, Randolph L.
The small crater Airy-0 was selected from Mariner 9 images to be the reference for the Mars prime meridian. Initial analyses were made in year 2000 to tie Viking Orbiter and Mars Orbiter Camera images of Airy-0 to the evolving Mars Orbiter Laser Altimeter global digital terrain model to improve the location accuracy of Airy-0. Based upon this tie and radiometric tracking of landers / rovers from earth, new expressions for the Mars spin axis direction, spin rate and prime meridian epoch value were produced to define the orientation of the Martian surface in inertial space over time. Now that the Mars Global Surveyor mission and the Mars Orbiter Laser Altimeter global digital terrain model are complete, a more exhaustive study has been performed to determine the location of Airy-0 relative to the global terrain grid. THEMIS IR image cubes of the Airy and Gale crater regions were tied to the global terrain grid using precision stereo photogrammetric image processing techniques. The Airy-0 location was determined to be within 50 meters of the currently defined IAU prime meridian, with this offset at the limiting absolute accuracy of the global terrain grid. Additional outputs of this study were a controlled multi-band photomosaic of Airy, precision alignment and geometric models of the ten THEMIS IR bands and a controlled multi-band photomosaic of Gale crater used to validate the Mars Surface Laboratory operational map products supporting their successful landing on Mars.
We study the gap probabilities of the single-time tacnode process. Through steepest descent analysis of a suitable Riemann–Hilbert problem, we show that under appropriate scaling regimes the gap probability of the tacnode process degenerates into a product of two independent gap probabilities of the Airy processes. (paper)
Girotti, Manuela
2014-01-01
We study the gap probabilities of the single-time Tacnode process. Through steepest descent analysis of a suitable Riemann-Hilbert problem, we show that under appropriate scaling regimes the gap probability of the Tacnode process degenerates into a product of two independent gap probabilities of the Airy processes.
Zhong, Xianqiong; Du, Xiantong; Cheng, Ke
2015-11-16
We numerically simulate the propagation of finite energy Airy pulses in optical fibers with cubic-quintic nonlinearity and analyze the effects of quintic nonlinear parameters and soliton order number on their evolution properties. The soliton pulses are observed, whose peak amplitudes and corresponding temporal positions will vary with the propagation distance. Depending on different quintic nonlinearity parameters and soliton order number, the soliton pulse temporal positions exhibit weak decayed oscillations and then nearly linearly shift to leading or trailing edge of the Airy wavepacket, or tend to fixed positions, and the peak amplitudes also exhibit decayed oscillations but with different oscillation amplitude and central values. For large soliton order number, the soliton pulses are considerably compressed. Other weak dispersive wave pulses will appear near the main soliton pulses and gradually depart from the main soliton pulses. In the case of small soliton order, despite their considerable energy attenuation, the main lobes and even minority of the neighboring side lobes of the Airy pulses can still recover from the energy transfer to the soliton pulses and the dispersive wave pulses and maintain their unique properties of self-healing and self-acceleration in time for a very long distance. In the case of large soliton order, however, the Airy wavepacket only remains its very weak background and even disappears quickly. PMID:26698430
Duxbury, T.C.; Christensen, P; Smith, D E; Neumann, G. A.; Kirk, R L; Caplinger, M. A.; Albee, A. A.; Seregina, N. V.; Neukum, G.; Archinal, B. A.
2014-01-01
The small crater Airy-0 was selected from Mariner 9 images to be the reference for the Mars prime meridian. Initial analyses in the year 2000 tied Viking Orbiter and Mars Orbiter Camera images of Airy-0 to the evolving Mars Orbiter Laser Altimeter global digital terrain model to update the location of Airy-0. Based upon this tie and radiometric tracking of landers/rovers from Earth, new expressions for the Mars spin axis direction, spin rate, and prime meridian epoch value were produced to de...
Soliton pair generation in the interactions of Airy and nonlinear accelerating beams
Zhang, Yiqi; Wu, Zhenkun; Zheng, Huaibin; Lu, Keqing; Li, Yuanyuan; Zhang, Yanpeng
2013-01-01
We investigate numerically the interactions of two in-phase and out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media, in one transverse dimension. We find that bound and unbound soliton pairs, as well as single solitons, can form in such interactions. If the interval between two incident beams is large relative to the width of their first lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the maximum lobes, the pairs interact and display varied behavior. In the in-phase case, they attract each other and exhibit stable bound, oscillating, and unbound states, after shedding some radiation initially. In the out-of-phase case, they repel each other and after an initial interaction, fly away as individual solitons. While the incident beams display acceleration, the solitons or soliton pairs generated from those beams do not.
The effects of nonlinear phase for the generation and propagation of finite energy Airy beams
The generation of a high-power finite-energy Airy beam (FEAB) needs a high-power source laser which leads a nonlinear phase into the generation and propagation of the FEAB. We theoretically and numerically investigate how the nonlinear phase affects the generation and propagation of FEAB. The nonlinear phase is associated with the B-integral of the laser system. The second-order term of the nonlinear phase’s Taylor series can theoretically represent the impacts of nonlinear phase with small B-integral. The nonlinear phase significantly changes the peak intensity and the beam shape during the generation and propagation of FEAB. The variation becomes larger with increasing B-integral, and the bigger the truncation coefficient of FEAB, the smaller the B-integral domain. (paper)
Plume Aerosol Size Distribution Modeling and Comparisons to PrAIRie2005 Field Study Data
Cho, S.; Liggio, J.; Makar, P.; Li, S.; Racinthe, J.
2006-12-01
As part of the analysis phase of the PrAIRie2005 field study, the effects of different Edmonton-area emission sources on local air-quality are being examined. Four large coal-fired power-plants are located to the West of the city. Here, the effects of these power-plants on urban and regional air-quality will be examined, using both plume and regional air-quality models. During the last few decades, coal-fired power plants have been found to be as a major source of pollution, affecting public-health. According to NACEC (North American Commission for Environmental Corporation, 2001)'s report, 46 of the top 50 air polluters in North America were power plants. The importance of such sources has resulted in several attempts to improve understanding of the basic formation mechanisms of plume particulate matter. Sulphur dioxide contributes to acidifying emissions and to the production of secondary acidic aerosols that have been linked to a number of serious human health problems, acid rain and visibility (Seinfeld and Pandis, 1998; Hidy, 1984; Wilson and McMurray, 1981). Primary particulate matter originating directly from coal-fired power plants may also increase secondary particulate mass by providing a surface for sulphuric acid absorption . Environment Canada's PrAIRie2005 field study between August 12th and September 7th, 2005 included overflights and downwind measurements near the Edmonton powerplants (Wabamun, Sundance, Keephills and Genesee). The data collected consisted of particle size distributions, ozone, NOX, total mass and the chemical composition of fine particles. In order to investigate and improve our understanding of the formation mechanisms and physical properties of power-plant-generated aerosols in the Edmonton area, the Plume Aerosol Microphysical (PAM) model has been employed. This model accounts for gas-phase chemistry, aerosol microphysical processes (i.e. homogeneous/heterogeneous nucleation, condensation/evaporation and coagulation) and
Propagation properties of Airy-Gaussian vortex beams through the gradient-index medium.
Zhao, Ruihuang; Deng, Fu; Yu, Weihao; Huang, Jiayao; Deng, Dongmei
2016-06-01
Propagation of Airy-Gaussian vortex (AiGV) beams through the gradient-index medium is investigated analytically and numerically with the transfer matrix method. Deriving the analytic expression of the AiGV beams based on the Huygens diffraction integral formula, we obtain the propagate path, intensity and phase distributions, and the Poynting vector of the first- and second-order AiGV beams, which propagate through the paraxial ABCD system. The ballistic trajectory is no longer conventional parabolic but trigonometric shapes in the gradient-index medium. Especially, the AiGV beams represent the singular behavior at the propagation path and the light intensity distribution. The phase distribution and the Poynting vector exhibit in reverse when the AiGV beams through the singularity. As the order increases, the main lobe of the AiGV beams is gradually overlapped by the vortex core. Further, the sidelobe weakens when the AiGV beams propagate nearly to the singularity. Additionally, the figure of the Poynting vector of the AiGV beams proves the direction of energy flow corresponding to the intensity distribution. The vortex of the second-order AiGV beams is larger, and the propagation velocity is faster than that of the first order. PMID:27409428
Gaussian and Airy wave-packets of massive particles with orbital angular momentum
Karlovets, Dmitry V
2014-01-01
While wave-packet solutions for relativistic wave equations are oftentimes thought to be approximate (paraxial), we demonstrate that there is a family of such solutions, which are exact, by employing a null-plane (light-cone) variables formalism. A scalar Gaussian wave-packet in transverse plane is generalized so that it acquires a well-defined z-component of the orbital angular momentum (OAM), while may not acquire a typical "doughnut" spatial profile. Such quantum states and beams, in contrast to the Bessel ones, may have an azimuthal-angle-dependent probability density and finite quantum uncertainty of the OAM, which is determined by the packet's width. We construct a well-normalized Airy wave-packet, which can be interpreted as a one-particle state for relativistic massive boson, show that its center moves along the same quasi-classical straight path and, what is more important, spreads with time and distance exactly as a Gaussian wave-packet does, in accordance with the uncertainty principle. It is expla...
Hamada, Sh; Burtebayev, N; Ohkubo, S
2013-01-01
Angular distributions for elastic and inelastic scattering of $^3$He from $^{12}$C were measured at energies 50.5 and 60 MeV. The Airy minimum of the prerainbow scattering was clearly observed in the angular distributions for the 0$_2^+$ (7.65 MeV) state of $^{12}$C (Hoyle state). The experimental results were analyzed with a coupled channels method with double folding potentials derived from the microscopic wave functions for the ground 0$_1^+$, 2$^+$ (4.44 MeV), 3$^-$ (9.64 MeV) and 0$_2^+$ states. The analysis supports the view that the Hoyle state is a three alpha particle condensate with a large radius of dilute matter distribution.
Hadi Mirab; Reza Fathi; Vahid Jahangiri; Mir Mohammad Ettefagh; Reza Hassannejad
2015-01-01
One of the new methods for powering low-power electronic devices at sea is a wave energy harvesting system. In this method, piezoelectric material is employed to convert the mechanical energy of sea waves into electrical energy. The advantage of this method is based on avoiding a battery charging system. Studies have been done on energy harvesting from sea waves, however, considering energy harvesting with random JONSWAP wave theory, then determining the optimum values of energy harvested is new. This paper does that by implementing the JONSWAP wave model, calculating produced power, and realistically showing that output power is decreased in comparison with the more simple Airy wave model. In addition, parameters of the energy harvester system are optimized using a simulated annealing algorithm, yielding increased produced power.
Generating function associated with the rational solutions of the Painleve II equation
We consider the Hankel determinant representation for the rational solutions of the Painleve II equation. We give an explicit formula for the generating function of the entries in terms of logarithmic derivative of the Airy function. (author). Letter-to-the-editor
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.
Arman Aghili
2015-01-01
Abstract The main object of this paper is to demonstrate how we can make significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining theory of special functions and operational methods. In this article, it is shown that the combined use of integral transforms and special functions provides a powerful tool to solve certain type of fractional PDEs and generalized heat equation. Constructive examples are also provided.
Arman Aghili
2015-12-01
The main object of this paper is to demonstrate how we can make significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining theory of special functions and operational methods. In this article, it is shown that the combined use of integral transforms and special functions provides a powerful tool to solve certain type of fractional PDEs and generalized heat equation. Constructive examples are also provided.
Cheng, Ke; Jiao, Liyang; Zhong, Xianqiong
2016-05-01
Based on the vector angular spectrum representation and stationary phase method, the analytical far-field vectorial expressions of radial noncanonical vortex Airy beam arrays (NVAiBAs) and radial noncanonical vortex Gaussian beam arrays (NVGBAs) are derived, and used to investigate their far-field vectorial properties, e.g. center optical vortices and energy fluxes of these corresponding beams, where the effect of noncanonical strength, topological charge, initial phase index and the number of beamlet on far-field vectorial properties of these corresponding beams is emphasized, respectively. The results show that the topological charge of center optical vortices in the far field is equal to initial phase index for the case of the radial NVAiBAs, whereas for radial NVGBAs the topological charge not only lies on initial phase index, but also is closely related to the odevity and sign of optical vortices embedded in beamlet, where mathematical analysis is made to explain the topological charge of center optical vortices, and the limitation of the number of beamlet to the topological charge of center optical vortices is also discussed. In addition, energy fluxes of radial NVAiBAs and NVGBAs exhibit different space orientations by controlling noncancial strength and present larger dark zones by increasing topological charge of beamlet, respectively. Finally, the relationship between the center optical vortices and energy fluxes of radial NVAiBAs and NVGBAs in even or odd N beamlets is also revealed, respectively.
We have analysed self-similar solutions to the propagation problem of a slit beam with a plane wavefront in a linear medium and in a photorefractive crystal with diffusion nonlinearity. It is shown that in the latter case, despite the presence of the nonlinear term in the wave equation, the linear superposition principle holds true for the solutions of this class due to saturation. At the same time, the mirror symmetry violation of the wave equation for the transverse coordinate in the nonlinear case and the requirement to the spatial localisation modify one of the localised partial solutions (Airy beam) to the corresponding linear problem and prohibit the existence of other solutions of this class. (laser beams)
Rukkikrahvi Sangaste loss / Airi Hallik
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
Emancipation(s) / Airi Triisberg
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"
Xiubi Wu
2015-05-01
Full Text Available The classical problem of finding conditions on the entire coefficients A(z and B(z guaranteeing that all nontrivial solutions of $f''+A(zf'+B(zf=0$ are of infinite order is discussed. Two distinct approaches are used. In the first approach the coefficient A(z itself is a solution of a differential equation $w''+P(zw=0$, where P(z is a polynomial. This assumption yields stability on the behavior of A(z via Hille's classical method on asymptotic integration. In this case A(z is a special function of which the Airy integral is one example. The second approach involves extremal functions. It is assumed that either A(z is extremal for Yang's inequality or B(z is extremal for Denjoy's conjecture. A combination of these two approaches is also discussed.
Generalized Jinc functions and their application to focusing and diffraction of circular apertures
Cao, Qing
2003-04-01
A family of generalized Jinc functions is defined and analyzed. The zero-order one is just the traditional Jinc function. In terms of these functions, series-form expressions are presented for the Fresnel diffraction of a circular aperture illuminated by converging spherical waves or plane waves. The leading term is nothing but the Airy formula for the Fraunhofer diffraction of circular apertures, and those high-order terms are directly related to those high-order Jinc functions. The truncation error of the retained terms is also analytically investigated. We show that, for the illumination of a converging spherical wave, the first 19 terms are sufficient for describing the three-dimensional field distribution in the whole focal region.
The Nambu–Goto action of bosonic string predicts the quark–antiquark potential to be V(r)=(γ/r)+σr+μ0. The coefficient γ=−((π(d−2))/24) is the universal Lüscher coefficient of the Lüscher term (γ/r), which depends upon the space–time dimension ‘d’. We take the linear term in the potential as the parent and the Lüscher term as perturbation for the generation of wave function for mesons in d space–time dimension. The wave function comes out in terms of Airy's infinite polynomial series. With this wave function in higher dimension, we then study the Isgur–Wise function for heavy–light mesons and its derivatives. (paper)
Rowan Gibson julgustab riskima / Airi Ilisson
Ilisson, Airi, 1980-
2007-01-01
Innovatsioonistrateeg Rowan Gibsoni ümbermõtlemise sõnum on organisatsioone ja inimesi üle maailma julgustanud tegema raskesti läbiviidavaid ja ohtlikke käike, ta keskendub ümbermõtlemise ärile uues, innovaatilises majanduses. Vt. samas: Innovaatik võidab alati. Tallinnas Ülemiste City kontseptsiooniga tutvudes väitis R. Gibson, et see vastab tema nägemusele nüüdisaegsest ärikeskkonnast
Masso hoiatab Soome seksituristide eest / Airi Ilisson
Ilisson, Airi, 1980-
2003-01-01
Ilmunud ka: Infopress 19. september nr. 38 lk. 131. Kui Soome järgmisel aastal intiimteenuste ostmise keelab, kolivad sealsed kupeldajad tõenäoliselt Eestisse, kasvab prostituutide arv ja saabub senisest rohkem seksituriste
Katse ja eksitus / Airi-Alina Allaste
Allaste, Airi-Alina, 1967-
2006-01-01
Rootsi kunstnike poolt avatud internetiportaalist "Monument massidele" http://www.trialerror.org mis on inspireeritud Tauno Kangro pakkumisest kinkida linnale Kalevipoja kuju. Portaali eesmärk on tekitada diskussiooni
Lusika talu jagab kulbiga ilu / Airi Hallik
Hallik, Airi, 1975-
2003-01-01
Sirje ja Heino Kurveti Tarvastu vallas asuva Lusika talu feng shui tõdesid järgivast iluaiast. Aeda pääseb neerukujulist tiiki ületades, aias on kiigeplats, lillering. Kivilaudast ümberehitatud elamu ja aia vahel on klaasist roosimaja. 10 ill
Feminism on kõikidele / Airi Triisberg
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"
ANALYSIS OF A CRACK IN A FUNCTIONALLY GRADED STRIP WITH A POWER FORM SHEAR MODULUS
Jinju Ma; Zheng Zhong; Chuanzeng Zhang
2009-01-01
The plane strain problem of a crack in a functionally graded strip with a power form shear modulus is studied. The governing equation in terms of Airy's stress function is solved exactly by means of Fourier transform. The mixed boundary problem is then reduced to a system of singular integral equations and is solved numerically to obtain the stress intensity factor at crack-tip. The maximum circumferential stress criterion and the strain energy density criterion are both employed to predict the direction of crack initiation. Numerical examples are given to show the influence of the material gradation models and the crack sizes on the mode-Ⅰ and mode-Ⅱ stress intensity factors. The dependence of the critical kink-angle on the crack size is examined and it is found that the crack kink-angle decreases with the increase of the normalized crack length, indicating that a longer crack tends to follow the original crack-line while it is much easier for a shorter crack to deviate from the original crack-line.
Analytic methods for ﬁeld induced tunneling in quantum wells with arbitrary potential proﬁles
S Panda; B K Panda
2001-06-01
Electric ﬁeld induced tunneling is studied in three different types of quantum wells by solving time-independent effective mass equation in analytic methods based on three different Airy function approaches. Comparison of different Airy function methods indicates that they are identical and connected to each other by the Breit–Wigner formula.
Jäätmekeskus õgib riigi miljoneid / Airi Ilisson
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
Kas Bombardier lennutab Estonian Airi üles? / Henrik Ilves
Ilves, Henrik
2011-01-01
Estonian Air on saanud oma käsutusse kaks kolmest ostetud lennukist Bombardier CRJ900, millega saavutatakse Boeing 737-ga võrreldes oluline kütuse kokkuhoid. 20 aastaga on müüdud CRJ-seeria lennukeid juba üle 1700
Trigon Capital sukeldub Ukraina piimaärisse / Airi Ilisson
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
Lääne-slaavi aiad ja maastikud / Airi Hallik
Hallik, Airi, 1975-
2003-01-01
Dendroloogide reis Tšehhi ja Slovakkiasse. Tšehhi Teaduste Akadeemia arboreetumist, Praha haljastusest, Konopishtshe jahilossist, Brno haljastusest ja botaanikaaiast, Mlynany arboreetumist, Maria ja Janusz Szewczyki aiast ja puukoolist, Krakowi botaanikaaiast jm.
MBO rahastamisel on Eestis probleemiks pangalaenud / Airi Ilisson
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
Distsiplinaarsest, aporeetilisest ning mittedistsiplinaarsest mõtlemisest / Airi Liimets
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
Palgavahe ajab Tallinki käärima / Airi Ilisson
Ilisson, Airi, 1980-
2006-01-01
Kokkulepe Soomega on Tallinkis tekitanud vastuolud palkade erinevuse üle. Ametiühingud küsivad kõigile töötajatele võrdset palka. Vt. samas: Tallinki laevadel valitseb range töökliima; Põhjamaade ametiühingud oskavad suruda. Kommenteerivad Andrus Ansip ja Edgar Savisaar
Gruusia magnet tõmbab eestlasi / Airi Ilisson
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
Linnar Viik kaotas lahingu IKEA omanikule / Airi Ilisson
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
Terved mullad - terveks eluks / kokkuvõtte tegi Airi Vetemaa
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
Intellektuaalne luksus-spaa Van Abbemuseumis / Rael Artel, Airi Triisberg
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
Elustiil kui teaduslik konstrukt : uurimisest meil ja mujal / Airi Liimets
Liimets, Airi
2000-01-01
W. Georgì monograafia "Sotsiaalne olukord ja elustiil : tüpoloogia" (1998) andis ülevaate 20. sajandi olulisematest teoreetilistest elustiilikästlustest sotsioloogias ning analüüsis seniseid empiirilisi uurimusi. Ursula Riedeli Kölni Ülikoolis kaitstud doktoritööst, mis kirjutatud Alfred Riedeli individuaalpsühholoogia kontekstist lähtudes. Heino Liimetsa algatatud ning ligi 20 aasta jooksul juhitud Eesti kasvatussotsioloogilise koolkonna elustiiliuurimustest
Kalle Norberg õpetab eestlasi kasutama Luksemburgi pangasaladuste kaitset / Airi Ilisson
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
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.
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...... lightness functions....
Della Pia, Eduardo Antonio; Hansen, Randi Westh; Zoonens, Manuela; Martinez, Karen L.
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....
Markushevich, A I
2014-01-01
Entire Functions focuses on complex numbers and the algebraic operations on them and the basic principles of mathematical analysis.The book first elaborates on the concept of an entire function, including the natural generalization of the concept of a polynomial and power series. The text then takes a look at the maximum absolute value and the order of an entire function, as well as calculations for the coefficients of power series representing a given function, use of integrals, and complex numbers. The publication elaborates on the zeros of an entire function and the fundamen
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
Variation Principle for a Linear Potential
CASAUBON, Juan Ignacio; BUEP, Juan Pablo COSENTINO and Adrián Hugo
2007-01-01
We introduce the student to the Quantum Mechanic linear potential (constant force) using new variation wave functions for the ground state and the first excited one. This approach use simple wave functions to describe the exact Airy solution.
Millová, Katarína
London: Palgrave Macmillan, 2015, s. 60-80. ISBN 978-1-137-43995-6 R&D Projects: GA ČR GAP407/10/2410 Institutional support: RVO:68081740 Keywords : social dimension of successful development * structure of social functioning * resources of social functioning Subject RIV: AN - Psychology
It is a compilation of chapters written by active researchers and offer information and critical insights about semiconducting materials and devices, dielectric and ferroelectric materials, magnetic materials, composites and other functional materials. In the book, the functional materials are discussed from the mixed valences and stoichiometry points of view, to understand the structural evolution and transformation of different material systems - in particular, the role played by crystal structures in property control of functional materials using advanced characterization techniques. The book examines the properties, soft-chemistry preparations, electronic structures and crystal structures of transition and rare earth metals and their oxides. The book presents a strong argument that functional materials system is the future direction of the multidisciplinary research involving physics, chemistry, materials science and electrical engineering, with emphasis on device applications. Papers relevant to INIS are indexed separately
Bustince, H.; Fernández, J.; Mesiar, Radko; Montero, J.; Orduna, R.
2010-01-01
Roč. 72, 3-4 (2010), s. 1488-1499. ISSN 0362-546X R&D Projects: GA ČR GA402/08/0618 Institutional research plan: CEZ:AV0Z10750506 Keywords : t-norm * Migrative property * Homogeneity property * Overlap function Subject RIV: BA - General Mathematics Impact factor: 1.279, year: 2010 http://library.utia.cas.cz/separaty/2009/E/mesiar-overlap functions.pdf
Hahn, M
1996-01-01
Based on empirical evidence from a free word order language (German) we propose a fundamental revision of the principles guiding the ordering of discourse entities in the forward-looking centers within the centering model. We claim that grammatical role criteria should be replaced by indicators of the functional information structure of the utterances, i.e., the distinction between context-bound and unbound discourse elements. This claim is backed up by an empirical evaluation of functional centering.
Nambudiripad, K B M
2014-01-01
After presenting the theory in engineers' language without the unfriendly abstraction of pure mathematics, several illustrative examples are discussed in great detail to see how the various functions of the Bessel family enter into the solution of technically important problems. Axisymmetric vibrations of a circular membrane, oscillations of a uniform chain, heat transfer in circular fins, buckling of columns of varying cross-section, vibrations of a circular plate and current density in a conductor of circular cross-section are considered. The problems are formulated purely from physical considerations (using, for example, Newton's law of motion, Fourier's law of heat conduction electromagnetic field equations, etc.) Infinite series expansions, recurrence relations, manipulation of expressions involving Bessel functions, orthogonality and expansion in Fourier-Bessel series are also covered in some detail. Some important topics such as asymptotic expansions, generating function and Sturm-Lioville theory are r...
K.H.DTZ
2007-01-01
1 Results The lecture will address aspects of functional organometallics related to the development of novel organometallic materials.In chromium complexes of fused arenes-regio-and diastereoselectively accessible by chromium-templated benzannulation of arylcarbenes by alkynes[1]-a haptotropic migration of the chromium fragment along the π-face of fused arenes is controlled by both thermodynamics and the substitution pattern of the arene and the metal coligand sphere,and can be applied towards an organo...
Brun, Rita; Kuo, Braden
2010-05-01
Dyspepsia is a common term used for a heterogeneous group of abdominal symptoms. Functional dyspepsia (FD) is the focus of this review. The 2006 Rome III criteria defined FD and its subgroups, postprandial distress syndrome (PDS) and epigastric pain syndrome (EPS). FD is a very common condition with a high prevalence throughout the world, adversely affecting the quality of life of patients. The pathophysiology of FD has been under investigation during the past two decades. Multiple mechanisms such as abnormal gastric emptying, visceral hypersensitivity, impaired gastric accommodation, and central nervous system factors are likely involved. Several tests are available for the assessment of various physiologic functions possibly involved in the pathogenesis of FD, and some of these could be used in clinical practice, helping to understand the abnormalities underlining patients' complaints. Currently, the possibilities of pharmacological therapy for FD are still limited, however, experience of using prokinetics, tricyclic antidepressants, selective serotonin-reuptake inhibitors (SSRIs), proton-pump inhibitors (PPIs), and several alternative techniques has been accumulated. The different combinations of alterations in physiologic gastrointestinal and central nervous system functions result in the very heterogeneous nature of FD so combined approaches to these patients could be beneficial in challenging cases. PMID:21180597
We consider a two-dimensional model Schroedinger equation with logarithmic integral non-linearity. We find asymptotic expansions for its solutions (Airy polarons) that decay exponentially at the 'semi-infinity' and oscillate along one direction. These solutions may be regarded as new special functions, which are somewhat similar to the Airy function. We use them to construct global asymptotic solutions of Schroedinger equations with a small parameter and with integral non-linearity of Hartree type
2005-01-01
2005200 The effect of body position changes on lung function, lung CT imaging and pathology in an oleic acid induced acute lung injury model. JI Xin-ping (戢新平), et al. Dept Emergency, 1st Affili Hosp, China Med Univ, Shenyang 110001. Chin J Tuberc Respir Dis, 2005;28(1) :33-36. Objective: To study the effect of body position changes on lung mechanics, oxygenation, CT images and pathology in an oleic acid-induced acute lung injury (ALl) model. Methods: The study groups con-
Is functional behavioral assessment functional?
2006-01-01
Abstract Traditional methods of discipline, like punishment, suspension, and expulsion have in the past seemed beneficial, on a short-term basis, against problem behavior in schools. Four schools in Norway have recently implemented Functional Behavior Assessment (FBA) as part of a pilot project, to test the School-Wide Positive Behavioral Support (SW-PBS). A completed FBA procedure reveals the setting events, the antecedents and the consequences around the problem behavior, which provides ...
The term lung function is often restricted to the assessment of volume time curves measured at the mouth. Spirometry includes the assessment of lung volumes which can be mobilised with the corresponding flow-volume curves. In addition, lung volumes that can not be mobilised, such as the residual volume, or only partially as FRC and TLC can be measured by body plethysmography combined with the determination of the airway resistance. Body plethysmography allows the correct positioning of forced breathing manoeuvres on the volume-axis, e.g. before and after pharmacotherapy. Adding the CO single breath transfer factor (TLCO), which includes the measurement of the ventilated lung volume using He, enables a clear diagnosis of different obstructive, restrictive or mixed ventilatory defects with and without trapped air. Tests of reversibility and provocation, as well as the assessment of inspiratory mouth pressures (PImax, P0.1) help to classify the underlying disorder and to clarify treatment strategies. For further information and to complete the diagnostic of disturbances of the ventilation, diffusion and/or perfusion (capillar-)arterial bloodgases at rest and under physical strain sometimes amended by ergospirometry are recommended. Ideally, lung function measurements are amended by radiological and nuclear medicine techniques. (orig.)
Asadchy, V S; Vehmas, J; Tretyakov, S A
2014-01-01
Conventional mirrors obey Snell's reflection law: a plane wave is reflected as a plane wave, at the same angle. To engineer spatial distributions of fields reflected from a mirror, one can either shape the reflector (for example, creating a parabolic reflector) or position some phase-correcting elements on top of a mirror surface (for example, designing a reflectarray antenna). Here we show, both theoretically and experimentally, that full-power reflection with general control over reflected wave phase is possible with a single-layer array of deeply sub-wavelength inclusions. These proposed artificial surfaces, metamirrors, provide various functions of shaped or nonuniform reflectors without utilizing any mirror. This can be achieved only if the forward and backward scattering of the inclusions in the array can be engineered independently, and we prove that it is possible using electrically and magnetically polarizable inclusions. The proposed sub-wavelength inclusions possess desired reflecting properties at...
Lee, S. R.; Park, S. K.; Kim, J. J. [Hanyang University College of Medicine, Seoul (Korea, Republic of); Jeon, H. J.; Jeon, H. S.; Kim, D. Y. [Gang Nam Hospital, Seoul (Korea, Republic of)
1984-09-15
Morphologic changes of spinal canal and dural sac during spinal movement (flexion-extension) were analysed and reported with the base of cross sectional anatomy, as early as 1942. After that, this movement was emphasized and used in myelography in many countries under the name of functional myelography, for accurate diagnosis of spinal stenosis as herniated disc, but nor used commonly in Korea. Authors analysed functional myelographic findings of 78 cases, 37 of normal and 41 of surgically confirmed herniated disc, to intend to confirm the necessity of spinal movement during myelography. The results were as follows; 1. In normal group, anterior border of dural sac is stright with flexion, but indented in extension at the level of intervertebral space and this indentation is less prominent at L5-S1. 2. In normal group with extension, posterior indentation of dural sac is more prominent at the level of intervertebral space than body, A-P diameter of dural sac is narrowed all the level of intervertebral space except L5-S1,and dural sac moved anteriorly (near to the posterior portion of spinal body or intervertebral space) at the level L5-S1 and all spinal body. 3. In disc patient, anterior indentation of dural sac is persist in both views (flexion and extension) and much more exaggerated with extension, but less prominent at L5-S1. 4. In herniated disc patient with extension, anterior movement of anterior dural border at the level of L5-S1 is much decreased than normal.
LaChapelle, J.
2013-01-01
Functional integrals are defined in terms of locally compact topological groups and their associated Banach-valued Haar integrals. This approach generalizes the functional integral scheme of Cartier and DeWitt-Morette. The definition allows a construction of functional Mellin transforms. In turn, the functional Mellin transforms can be used to define functional traces, logarithms, and determinants. The associated functional integrals are useful tools for probing function spaces in general and...
Functional inequalities for modified Bessel functions
Baricz, Árpád; Vuorinen, Matti
2010-01-01
In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of these functions, which are in fact equivalent to the corresponding Tur\\'an type inequalities for these functions. As an application of the results concerning the modified Bessel function of the second kind we prove that the cumulative distribution function of the gamma-gamma distribution is log-concave. At the end of this paper several open problems are posed, which may be of interest for further research.
Kargın, Levent; Kurt, Veli
2015-01-01
In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sinπxP. Furthermore we define Riemann zeta matrix function and evaluate some other matrix integrals. We prove a functional equation for Riemann zeta matrix function.
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)
Noncommutative Bessel symmetric functions
Novelli, Jean-Christophe; Thibon, Jean-Yves
2006-01-01
The consideration of tensor products of 0-Hecke algebra modules leads to natural analogs of the Bessel J-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.
Gersten, A.
1999-01-01
By applying projection operators to state vectors of coordinates we obtain subspaces in which these states are no longer normalized according to Dirac's delta function but normalized according to what we call "incomplete delta functions". We show that this class of functions satisfy identities similar to those satisfied by the Dirac delta function. The incomplete delta functions may be employed advantageously in projected subspaces and in the link between functions defined on the whole space ...
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
Rõõmus jõulukoosviibimine New Yorgi Eesti Majas / Airi Vaga ; fotod: Peeter Teedla
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.
Lillikate suvi on Nava Lava päralt / Airi Hallik
Hallik, Airi, 1975-
2008-01-01
Lõuna-Eestis Lilli külas asuva Nava talu Nava Lava suvistest üritustest. Olulisim ettevõtmine oli talu peremehe Jaak Kõdari talu ajaloost kirjutatud näitemängu "Jukra" lavale toomine. Tänavu oli talu aidas avatud ka Lembit Sootsi maalinäitus
Täna õhtul ühineb Eesti NATO-ga / Airi Ilisson
Ilisson, Airi, 1980-
2004-01-01
Täna annavad peaminister Juhan Parts ja Eesti suursaadik NATO juures Harri Tiido Washingtonis üle Eesti ühinemisdokumendid. Riigikogu väliskomisjoni esimees Marko Mihkelson peab NATO-ga liitumist strateegilises mõttes tähtsamaks liitumisest EL-iga. NATO-ga liituvate riikide peaministrid avaldavad International Herald Tribune'is ühiskirja. Vt. samas: Põhja-Atlandi leping, artikkel 5
Pilk maestro Neeme Järvi muusikalisse loometöösse / Airi Vaga
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
No Time for the "Airy Fairy": Teacher Perspectives on Creative Writing in High Stakes Environments
Frawley, Emily
2014-01-01
This paper discusses a research project undertaken to examine teachers' perceptions of creative writing in the senior English curriculum. It was a case study undertaken in a state high school in Melbourne under the Victorian Certificate of Education (VCE). The project investigated the challenges facing English teachers as they prepare…
Let's Refuse to Be What We Are (Supposed to Be)! / Airi Triisberg
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
Austraalia peaminister jagas eelarve ülejäägid rahvale / Airi Ilisson-Cruz
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
Internet - kas vaimse tervise edendamise suurepärane tööriist? / Airi Mitendorf
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
Uppsala ülikool nimetas uue soome-ugri keelte dotsendi / Airi Alanurme
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
Sub-Airy disk angular resolution with high dynamic range in the near-infrared
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.
Two new cembranoids from the leaves of Croton longissimus Airy Shaw.
Kawakami, Susumu; Matsunami, Katsuyoshi; Otsuka, Hideaki; Lhieochaiphant, Duangporn; Lhieochaiphant, Sorasak
2013-04-01
Two new cembrane-type diterpenoids (1 and 2) along with five known compounds (3-7) were isolated from leaves of Croton longissimus collected in Thailand. Their structures were elucidated from spectroscopic evidence and compound 4 was found by HPLC analysis to be identical to oblongionoside B-a compound isolated from Croton oblongifolius-including the absolute configuration at the C-9 position. PMID:22926346
Kuidas mõjutab uus meedia kultuuri ja sotsiaalseid suhteid? / Airi-Alina Allaste
Allaste, Airi-Alina, 1967-
2008-01-01
Kui internetistumise esimene faas web 1.0 oli arvutite ühendamine ja tehnoloogia arendamine arvutite efektsemaks muutmiseks, siis web 2.0 puhul räägitakse tehnoloogia rakendamisest inimeste ühendamiseks
Pulse capability of the airi lead chloride electrode. Technical note. [Mg/PbCl/sub 2/
Donaldson, G.J.; Barnes, W.D.
1979-11-01
The objective of the study was to evaluate the pulse discharge performance of lead chloride electrodes for the active sonobuoy battery application. Experimental work was carried out using Mg/PbCl/sub 2/ cells which were pulse discharged in 3.25% artificial seawater at ambient temperatures (22-25 C). Pulses of 100 milliseconds duration were applied every ten seconds by switching the cells from their steady discharge load to the pulse discharge load. It was found that the steady rate of discharge had to be maintained at about 5-10 mA per sq cm in order to permit a sufficiently rapid response to the application of the pulse load without unduly sacrificing electrode capacity. The Mg/PbCl/sub 2/ cell was required to accept a pulse load greater than the steady load by a factor of approximately 25; the resulting loss of cell output voltage was about 0.6 volts. Although Mg/AgCl cells suffer about the same loss of output, the levels are about 0.5 volts higher in both steady and pulsed discharge modes than those for the Mg/PbCl/sub 2/ cell. A further serious disadvantages of the PbCl/sub 2/ electrode is its greater size and weight compared to silver chloride. Lead chloride electrodes do not offer a performance advantage over silver chloride for active sonobuoy batteries. In view of the impending conversion of all types of sonobuoys to the use of lithium batteries in about five to eight years time there is little advantage to pursuing the development of the lead chloride electrode for such applications.
Projekt OK-NET-ARABLE : mahetootmiseks vajalik teave tuleb tuua praktikuteni / Airi Vetemaa
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
Lauluarmastaja, võitleja, unustamatu sõber Oscar Uusima saadeti igaviku teedele / Airi Vaga
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
Briti ekspert : euroliidus kaob Eestist tööpuudus / Michael Richardson ; interv. Airi Ilisson
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?
Füüsikaõpetaja ehitas kodutalu õuele tähetorni / Airi Ilisson
Ilisson, Airi, 1980-
2002-01-01
Tääksi põhikooli füüsikaõpetaja Oskar Noorkõiv ehitas oma raha eest Olustvere valls koduõuele silotornist tähetorni, et õpilastele füüsikateadust näitlikumalt selgitada. Lisa: Harrastusobservatooriumid Eestis
Ökotantsufestivali tantsudes peitus sõnum - olen osa loodusest ja hoolin sellest / Airi Amtmann
Amtmann, Airi
2008-01-01
Kuusalu keskkoolis toimunud ökotantsufestivalist "Tantsuga puhtaks ja targaks", kus Raplamaad esindasid Juuru gümnaasiumi ja Rapla lasteaedade Naksitrallid ning Päkapikk tantsijad. Veel osalesid Järvakandi lasteaed-algkooli ning Märjamaa valla Midrimaa lasteaia tantsijad. Kokkuvõtte festivalist tegi MTÜ Ökokratt projektijuht Jane Adler
Palga tõusuks jääb raha puudu / Airi Amtmann
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
Geometric Schr(o)dinger-Airy Flows on K(a)hler Manifolds
Xiao Wei SUN; You De WANG
2013-01-01
We define a class of geometric flows on a complete K(a)hler manifold to unify some physical and mechanical models such as the motion equations of vortex filament,complex-valued mKdV equations,derivative nonlinear Schr(o)dinger equations etc.Furthermore,we consider the existence for these flows from S1 into a complete K(a)hler manifold and prove some local and global existence results.
Estonian Airi ümber käib lehmakauplemine / Tõnu Lilleorg
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
SAS paneb Estonian Airi kiirmüüki / Gert D. Hankewitz
Hankewitz, Gert D.
2009-01-01
Majandusraskustes lennufirma SAS kavatseb loobuda osalustest kõigis lennufirmades, mis ei sobi kokku nende uue tegevuskavaga. Majandus- ja kommunikatsiooniminister Juhan Parts arvab, et riik peaks leidma Estonian Airile kodumaised partnerid
Ühe minuti loeng: videoformaat, mis tuli ja võitis / Airi Ilisson-Cruz
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
"Show off." Olla edukas, rikas ja tugev / Airi-Alina Allaste
Allaste, Airi-Alina, 1967-
2006-01-01
Autor leiab, et Eesti edukesksete väärtustega ühiskond on loonud mitu käitumismustrit, mida iseloomustab soov näidata ennast paremana ning elustiil, kus inimese olemusest, elust ja tegevusest on tähtsam tema väline, näiv pale
Eesti president Toomas H. Ilves Pennsylvania ülikooli ajakirjas / Airi Vaga
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
Perearstid peavad eriarstide palgatõusu ebavõrdsuseks / Airi Ilisson
Ilisson, Airi, 1980-
2003-01-01
Eesti Haigekassa nõukogu otsustas tõsta raviteenuste piirhindu 91 miljoni krooni võrra, mis võimaldab palgatõusu eriarstidele, kuid jätab tähelepanuta perearstide vajadused. Vaata samas: Haigekassal pole tõendeid 91 miljoni vajaduse kohta
Functional Forms and Educational Production Functions
Montmarquette, C.; Mahseredjian, S.
1985-01-01
Different Functional Forms Are Proposed and Applied in the Context of Educational Production Functions. Three Different Specifications - the Linerar, Logit and Inverse Power Transformation (Ipt) - Are Used to Explain First Grade Students' Results to a Mathematics Achievement Test. with Ipt Identified As the Best Functional Form to Explain the Data, the Assumption of Differential Impact of Explanatory Variables on Achievement Following the Status of the Student As a Low Or High Achiever Is Ret...
Functional microorganisms for functional food quality.
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. PMID:20830633
Rough function model and rough membership function
Wang Yun; Guan Yanyong; Huang Zhiqin
2008-01-01
Two pairs of approximation operators, which are the scale lower and upper approximations as well as the real line lower and upper approximations, are defined. Their properties and antithesis characteristics are analyzed. The rough function model is generalized based on rough set theory, and the scheme of rough function theory is made more distinct and complete. Therefore, the transformation of the real function analysis from real line to scale is achieved. A series of basic concepts in rough function model including rough numbers, rough intervals, and rough membership functions are defined in the new scheme of the rough function model. Operating properties of rough intervals similar to rough sets are obtained. The relationship of rough inclusion and rough equality of rough intervals is defined by two kinds of tools, known as the lower (upper) approximation operator in real numbers domain and rough membership functions. Their relative properties are analyzed and proved strictly, which provides necessary theoretical foundation and technical support for the further discussion of properties and practical application of the rough function model.
Entire functions sharing one small function
LI Yun-tong; CAO Yao
2007-01-01
The uniqueness problem of entire functions sharing one small function was studied. By Picard's Theorem, we proved that for two transcendental entire functions f (z) and g(z), a positive integer n≥9, and a(z) (not identically eaqual to zero) being a common small function related to f (z) and g(z), if f n(z)(f(z)-1)f'(z) and gn(z)(g'z)-1)g'(z) share a(z) CM, where CM is counting multiplicity, then g(z)≡f (z). This is an extended version of Fang and Hong's theorem [ Fang ML, Hong W, A unicity theorem for entire functions concerning differential polynomials, Journal of Indian Pure Applied Mathematics, 2001, 32 (9): 1343-1348].
On $ \\delta $-perfect functions
C. K. Basu
2004-01-01
$ \\delta $-continuous [6] and $ \\delta $-perfect [5] functions are both introduced by T.~Noiri in the similar fashion as continuous and perfect functions. The purpose of the present paper is to investigate several properties of $ \\delta$-perfect functions and also to determine some topological properties which are preserved by $ \\delta$-continuous $ \\delta$-perfect functions.
Relations between Lipschitz functions and convex functions
无
2005-01-01
[1]Zajicek, J., On the differentation of convex functions in finite and infinite dimensional spaces, Czech J. Math.,1979, 29: 340-348.[2]Hu, T. C., Klee, V. L., Larman, D. G., Optimization of globally convex functions, SIAM J. Control Optim., 1989,27: 1026-1047.[3]Cepedello Boiso, M., Approximation of Lipschitz functions by △-convex functions in Banach spaces, Israel J.Math., 1998, 106: 269-284.[4]Asplund, E., Frechet differentiability of convex functions, Acta Math., 1968, 121: 31-47.[5]Johnson, J. A., Lipschitz spaces, Pacific J. Math, 1974, 51: 177-186.[6]Stromberg, T., The operation of infimal convolution, Dissert. Math., (Rozprawy Mat.), 1996, 325: 58.[7]Kadison, R. V., Ringrose, J. R., Fundamentals of the theory of operator algebras, volume Ⅰ: Elementary Theory,Graduate Studies in Math., vol. 15, Amer. Math. Soc., 1997.[8]Phelps, R. R., Convex functions,monotone operators and differentiability, Lect. Notes in Math., vol. 1364,Springer-Verlag, 1977.[9]Lindenstrauss, J., On operators which attain their norm, Israel J. Math., 1963, 1: 139-148.[10]Press, D., Gateaux differentiable functions are somewhere Frechet differentiable, Rend. Circ. Mat. Palermo,1984, 33: 122-133.[11]Press, D., Differentiability of Lipschitz functions on Banach spaces, J. Funct. Anal., 1990, 91:312-345.[12]Lindenstrauss, J., Press, D., On Frechet differentiability of Lipschitz maps between Banach spaces, Annals of Math., 2003, 157: 257-288.[13]Press, D., Gateaux differentiable Lipschitz functions need not be Frechet differentiable on a residual set, Supplemento Rend. Circ. Mat. Palermo, Serie Ⅱ, 1982, 2: 217-222.
Generalised Elliptic Functions
England, Matthew
2011-01-01
We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstras P-function using two different approaches. These functions arise naturally as solutions to some of the important equations of mathematical physics and their differential equations, addition formulae, and applications have all been recent topics of study. The first approach discussed sees the functions defined as logarithmic derivatives of the sigma-function, a modified Riemann theta-function. We can make use of known properties of the sigma function to derive power series expansions and in turn the properties mentioned above. This approach has been extended to a wide range of non hyperelliptic and higher genus curves and an overview of recent results is given. The second approach defines the functions algebraically, after first modifying the curve into its equivariant form. This approach allows...
Filter function synthesis by Gegenbauer generating function
Pavlović Vlastimir D.
2006-01-01
Full Text Available Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1 flatness conditions for ω = 0 are considered in this paper. A new class of filters in explicit form with one free parameter is obtained by applying generating functions of Gegenbauer polynomials. This class of filters has good selectivity and good shape of amplitude characteristics in the pass-band. The amplitude characteristics of these transfer functions have gain in the upper part of pass-band with respect to the gain for ω = 0. This way we have greater margin of attenuation in the upper part of the pass-band. This means a greater tolerance of elements or for elements with given tolerances, greater ambient temperature changes. The appropriate choice of the free parameter enables us to generate filter functions obtained with Chebyshev polynomials of the first and second kind and Legendre polynomials.
Meromorphic functions sharing four small functions
It is well known that if two nonconstant meromorphic functions f and g on the complex plane C have the same inverse images counted with multiplicities for four distinct values, then g is a special type of f. In this paper, we will show that the above result remains valid if f and g share four distinct small functions counted with multiplicities truncated by 2. This is the best truncation level. (author)
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...
Thomsen, Søren Steffen
2009-01-01
functions have received a huge amount of attention due to new attacks on widely used hash functions. This PhD thesis, having the title "Cryptographic Hash Functions", contains both a general description of cryptographic hash functions, including their applications and expected properties as well as some...... well-known designs, and also some design and cryptanalysis in which the author took part. The latter includes a construction method for hash functions and four designs, of which one was submitted to the SHA-3 hash function competition, initiated by the U.S. standardisation body NIST. It also includes...
Confinement from Correlation Functions
Fister, Leonard
2013-01-01
We compute the Polyakov loop potential in Yang--Mills theory from the fully dressed primitively divergent correlation functions only. This is done in a variety of functional approaches ranging from functional renormalisation group equations over Dyson--Schwinger equations to two-particle irreducible functionals. We present a confinement criterion that links the infrared behaviour of propagators and vertices to the Polyakov loop expectation value. The present work extends the works of [1-3] to general functional methods and sharpens the confinement criterion presented there. The computations are based on the thermal correlation functions in the Landau gauge calculated in [4-6].
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.
Functionalized diamond nanoparticles
Beaujuge, Pierre M.
2014-10-21
A diamond nanoparticle can be functionalized with a substituted dienophile under ambient conditions, and in the absence of catalysts or additional reagents. The functionalization is thought to proceed through an addition reaction.
Lott, Steven
2015-01-01
This book is for developers who want to use Python to write programs that lean heavily on functional programming design patterns. You should be comfortable with Python programming, but no knowledge of functional programming paradigms is needed.
Extraocular muscle function testing
Extraocular muscle function testing examines the function of the eye muscles. A health care provider observes the movement of ... evaluate weakness or other problem in the extraocular muscles. These problems may result in double vision or ...
Babusci, D.; Dattoli, G.; Germano, B.; Martinelli, M. R.; Ricci, P. E.
2011-01-01
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of functions to Gaussians.
Dependence for functional data
Valencia García, Dalia Jazmín
2014-01-01
Measuring dependence is a basic question when dealing with functional observations. It is of great interest to know the effect that one or more functional variables can have on other ones, and even predict values of one variable from another. Although, in the functional context, this theory has not been as extensively studied,some techniques to measure dependence in functional data have already been implemented, providing a single value which represents the degree of relation between the sets...
Parton Fragmentation Functions
Metz, Andreas
2016-01-01
The field of fragmentation functions of light quarks and gluons is reviewed. In addition to integrated fragmentation functions, attention is paid to the dependence of fragmentation functions on transverse momenta and on polarization degrees of freedom. Higher-twist and di-hadron fragmentation functions are considered as well. Moreover, the review covers both theoretical and experimental developments in single-inclusive hadron production in electron-positron annihilation, deep-inelastic lepton-nucleon scattering, and proton-proton collisions.
Chemical functionalization of graphene
Boukhvalov, D. W.; Katsnelson, M I
2008-01-01
Experimental and theoretical results on chemical functionalization of graphene are reviewed. Using hydrogenated graphene as a model system, general principles of the chemical functionalization are formulated and discussed. It is shown that, as a rule, 100% coverage of graphene by complex functional groups (in contrast with hydrogen and fluorine) is unreachable. A possible destruction of graphene nanoribbons by fluorine is considered. The functionalization of infinite graphene and graphene nan...
Pseudolinear functions and optimization
Mishra, Shashi Kant
2015-01-01
Pseudolinear Functions and Optimization is the first book to focus exclusively on pseudolinear functions, a class of generalized convex functions. It discusses the properties, characterizations, and applications of pseudolinear functions in nonlinear optimization problems.The book describes the characterizations of solution sets of various optimization problems. It examines multiobjective pseudolinear, multiobjective fractional pseudolinear, static minmax pseudolinear, and static minmax fractional pseudolinear optimization problems and their results. The authors extend these results to locally
Phylogenetic molecular function annotation
Barbara E Engelhardt; 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 ...
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
Montanaro, Ashley; Osborne, Tobias J.
2008-01-01
In this paper we introduce the study of quantum boolean functions, which are unitary operators f whose square is the identity: f^2 = I. We describe several generalisations of well-known results in the theory of boolean functions, including quantum property testing; a quantum version of the Goldreich-Levin algorithm for finding the large Fourier coefficients of boolean functions; and two quantum versions of a theorem of Friedgut, Kalai and Naor on the Fourier spectra of boolean functions. In o...
Graphomania: learning function plots
Leskovšek, Gregor
2013-01-01
In the first part of our thesis Graphomania: learning function plots (hereinafter Graphomania) we present profesional applications of our current problem space and a drawing graphs of functions, manipulation of the current features: zoom in, zoom out, translate = pan add vertical poles and horizontal and oblique asymptotes in the following programs: (1) Draw Function Graphs (rechneronline.de/function-graphs/), (2) Derive (mathematical assistant for your PC, version 6.10), (3) GeoGebra 4.2 (ge...
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.
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...... method is collaborative practice studies including action research and practice studies; combined with solid industrial experience....
Anderson, Deborah S.; Kristiansen, Connie M.
1990-01-01
Discusses the Attitude Functions Inventory (AFI), which assesses the extent to which a person's attitude fulfills each of four psychological functions. Reports findings of a study, involving 249 undergraduates, that tested the construct validity of the AFI. Suggests that the AFI provides conceptually meaningful measures of the functions of…
Isotopic functions, or ratios of two isotopic variables, are used to verify Pu and U measurements of spent fuels in reprocessing plants. Systematic methods have been developed for forming and evaluating isotopic functions. This paper describes the method used at Battelle to form and evaluate isotopic functions. The data base at Battelle contains measurements and calculations for the fuel from 35 reactors
Clinical functional MRI. Presurgical functional neuroimaging
Stippich, C. (ed.) [Heidelberg Univ. (Germany). Div. of Neuroradiology
2007-07-01
Functional magnetic resonance imaging (fMRI) permits noninvasive imaging of the ''human brain at work'' under physiological conditions. This is the first textbook on clinical fMRI. It is devoted to preoperative fMRI in patients with brain tumors and epilepsies, which are the most well-established clinical applications. By localizing and lateralizing specific brain functions, as well as epileptogenic zones, fMRI facilitates the selection of a safe treatment and the planning and performance of function-preserving neurosurgery. State of the art fMRI procedures are presented, with detailed consideration of the physiological and methodological background, imaging and data processing, normal and pathological findings, diagnostic possibilities and limitations, and other related techniques. All chapters are written by recognized experts in their fields, and the book is designed to be of value to beginners, trained clinicians and experts alike. (orig.)
D'Hoker, Eric; Gurdogan, Omer; Vanhove, Pierre
2015-01-01
We consider properties of modular graph functions, which are non-holomorphic modular functions associated with the Feynman graphs for a conformal scalar field theory on a two-dimensional torus. Such functions arise, for example, in the low energy expansion of genus-one Type II superstring amplitudes. We demonstrate that these functions are sums, with rational coefficients, of special values of single-valued elliptic multiple polylogarithms, which will be introduced in this paper. This insight suggests the many interrelations between these modular graph functions (a few of which were motivated in an earlier paper) may be obtained as a consequence of identities involving elliptic polylogarithms.
Implementing function spreadsheets
Sestoft, Peter
: 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....
Transfer function combinations
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.
Adaptive functional linear regression
Comte, Fabienne
2011-01-01
We consider the estimation of the slope function in functional linear regression, where scalar responses are modeled in dependence of random functions. Cardot and Johannes [2010] have shown that a thresholded projection estimator can attain up to a constant minimax-rates of convergence in a general framework which allows to cover the prediction problem with respect to the mean squared prediction error as well as the estimation of the slope function and its derivatives. This estimation procedure, however, requires an optimal choice of a tuning parameter with regard to certain characteristics of the slope function and the covariance operator associated with the functional regressor. As this information is usually inaccessible in practice, we investigate a fully data-driven choice of the tuning parameter which combines model selection and Lepski's method. It is inspired by the recent work of Goldenshluger and Lepski [2011]. The tuning parameter is selected as minimizer of a stochastic penalized contrast function...
Multistate nested canalizing functions
Adeyeye, J O; Laubenbacher, R; Li, Y
2013-01-01
The concept of a nested canalizing Boolean function has been studied over the course of the last decade in the context of understanding the regulatory logic of molecular interaction networks, such as gene regulatory networks. Such functions appear preferentially in published models of such networks. Recently, this concept has been generalized to include multi-state functions, and a recursive formula has been derived for their number, as a function of the number of variables. This paper carries out a detailed analysis of the class of nested canalizing functions over an arbitrary finite field. Furthermore, the paper generalizes the concept further, and derives a closed formula for the number of such generalized functions. The paper also derives a closed formula for the number of equivalence classes under permutation of variables. This is motivated by the fact that two nested canalizing functions that differ by a permutation of the variables share many important properties with each other. The paper contributes ...
Deformation of two welded elastic half-spaces due to a long inclined tensile fault
Anil Kumar; Sarva Jit Singh; Jagdish Singh
2005-02-01
The calculation of the deformation caused by shear and tensile faults is necessary for the investigation of seismic and volcanic sources. The solution of the two-dimensional problem of a long inclined shear fault in two welded half-spaces is well known. The purpose of this note is to present the corresponding solution for a tensile fault. Closed-form analytical expressions for the Airy stress function for a tensile line source in two welded half-spaces are first obtained. These expressions are then integrated analytically to derive the Airy stress function for a long tensile fault of arbitrary dip and finite width. Closed-form analytical expressions for the displacements and stresses follow immediately from the Airy stress function. These expressions are suitable for computing the displacement and stress fields around a long inclined tensile fault near an internal boundary.
Polarization Aberrations in Astronomical Telescopes: The Point Spread Function
Breckinridge, James B.; Lam, Wai Sze T.; Chipman, Russell A.
2015-05-01
Detailed knowledge of the image of the point spread function (PSF) is necessary to optimize astronomical coronagraph masks and to understand potential sources of errors in astrometric measurements. The PSF for astronomical telescopes and instruments depends not only on geometric aberrations and scalar wave diffraction but also on those wavefront errors introduced by the physical optics and the polarization properties of reflecting and transmitting surfaces within the optical system. These vector wave aberrations, called polarization aberrations, result from two sources: (1) the mirror coatings necessary to make the highly reflecting mirror surfaces, and (2) the optical prescription with its inevitable non-normal incidence of rays on reflecting surfaces. The purpose of this article is to characterize the importance of polarization aberrations, to describe the analytical tools to calculate the PSF image, and to provide the background to understand how astronomical image data may be affected. To show the order of magnitude of the effects of polarization aberrations on astronomical images, a generic astronomical telescope configuration is analyzed here by modeling a fast Cassegrain telescope followed by a single 90° deviation fold mirror. All mirrors in this example use bare aluminum reflective coatings and the illumination wavelength is 800 nm. Our findings for this example telescope are: (1) The image plane irradiance distribution is the linear superposition of four PSF images: one for each of the two orthogonal polarizations and one for each of two cross-coupled polarization terms. (2) The PSF image is brighter by 9% for one polarization component compared to its orthogonal state. (3) The PSF images for two orthogonal linearly polarization components are shifted with respect to each other, causing the PSF image for unpolarized point sources to become slightly elongated (elliptical) with a centroid separation of about 0.6 mas. This is important for both astrometry
Marine Functional Foods and Functional Ingredients
Hurst, D.
2006-01-01
This briefing paper gives insights into the issues surrounding marine functional foods and highlights opportunities for researchers in the marine sciences and food sciences areas to engage in collaborative research. It will be used as the basis for further consultation with the research community and firms in the marine and food sectors and to assist in exploring and prioritising research themes.
Functional Explanation and the Function of Explanation
Lombrozo, Tania; Carey, Susan
2006-01-01
Teleological explanations (TEs) account for the existence or properties of an entity in terms of a function: we have hearts because they pump blood, and telephones for communication. While many teleological explanations seem appropriate, others are clearly not warranted--for example, that rain exists for plants to grow. Five experiments explore…
Counting with symmetric functions
Mendes, Anthony
2015-01-01
This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya’s enu...
Weakly dependent functional data
Hörmann, Siegfried; 10.1214/09-AOS768
2010-01-01
Functional data often arise from measurements on fine time grids and are obtained by separating an almost continuous time record into natural consecutive intervals, for example, days. The functions thus obtained form a functional time series, and the central issue in the analysis of such data consists in taking into account the temporal dependence of these functional observations. Examples include daily curves of financial transaction data and daily patterns of geophysical and environmental data. For scalar and vector valued stochastic processes, a large number of dependence notions have been proposed, mostly involving mixing type distances between $\\sigma$-algebras. In time series analysis, measures of dependence based on moments have proven most useful (autocovariances and cumulants). We introduce a moment-based notion of dependence for functional time series which involves $m$-dependence. We show that it is applicable to linear as well as nonlinear functional time series. Then we investigate the impact of ...
Relativistic plasma dispersion functions
Robinson, P. A.
1986-05-01
The known properties of plasma dispersion functions (PDF's) for waves in weakly relativistic, magnetized, thermal plasmas are reviewed and a large number of new results are presented. The PDF's required for the description of waves with small wave number perpendicular to the magnetic field (Dnestrovskii and Shkarofsky functions) are considered in detail; these functions also arise in certain quantum electrodynamical calculations involving strongly magnetized plasmas. Series, asymptotic series, recursion relations, integral forms, derivatives, differential equations, and approximations for these functions are discussed as are their analytic properties and connections with standard transcendental functions. In addition a more general class of PDF's relevant to waves of arbitrary perpendicular wave number is introduced and a range of properties of these functions are derived.
Pisani, Pablo
2015-01-01
We present a pedagogical exposition of some applications of functional methods in quantum field theory: we use heat-kernel and zeta-function techniques to study the Casimir effect, the pair production in strong electric fields, quantum fields at finite temperature and beta-functions for a self-interacting scalar field, QED and pure Yang-Mills theories. The more recent application to the UV/IR mixing phenomenon in noncommutative theories is also discussed in this framework.
Functional Capacity Evaluation & Disability
Chen, Joseph J.
2007-01-01
Function, Impairment, and Disability are words in which many physicians have little interest. Most physicians are trained to deal with structure and physiology and not function and disability. The purpose of this article is to address some of the common questions that many physicians have with the use of functional capacity evaluation and disability and also to provide a unifying model that can explain the medical and societal variables in predicting disability. We will first define the funct...
Quasiplurisubharmonic Green functions
Coman, Dan; 10.1016/j.matpur.2009.05.010
2009-01-01
Given a compact K\\"ahler manifold $X$, a quasiplurisubharmonic function is called a Green function with pole at $p\\in X$ if its Monge-Amp\\`ere measure is supported at $p$. We study in this paper the existence and properties of such functions, in connection to their singularity at $p$. A full characterization is obtained in concrete cases, such as (multi)projective spaces.
Irreversible computable functions
Hoyrup, Mathieu
2014-01-01
The strong relationship between topology and computations has played a central role in the development of several branches of theoretical computer science: foundations of functional programming, computational geometry, computability theory, computable analysis. Often it happens that a given function is not computable simply because it is not continuous. In many cases, the function can moreover be proved to be non-computable in the stronger sense that it does not preserve computability: it map...
Broker, Reinier
2010-01-01
The moduli space of principally polarized abelian surfaces is parametrized by three Igusa functions. In this article we investigate a new way to evaluate these functions by using Siegel Eisenstein series. We explain how to compute the Fourier coefficients of certain Siegel modular forms using classical modular forms of half-integral weight. One of the results in this paper is an explicit algorithm to evaluate the Igusa functions to a prescribed precision.
Hash functions in Cryptography
Grah, Joseph Sterling
2008-01-01
This thesis is concerned with giving both an overview of the application of hash functions in cryptography and a presentation of today's standard cryptographic hash functions. Cryptographic hash functions are a valuable tool in cryptography. They are applied in many areas of information security to provide protection of the authenticity of messages; data integrity verification which prevents modification of data from going undetected, time stamping and digital signature scheme.
Mirce Functionability Equation
Dr Jezdimir Knezevic
2014-08-01
Full Text Available Scientific principles and concepts expressed through the laws, equations and formulas are the bedrock for the prediction of the deign-in functionality performance of any engineering creation. However, there is no equivalent when the in-service functionability performance predictions have to be made. Hence, Mirce Mechanics has been created at the MIRCE Akademy to fulfil the roll. The main purpose of this paper is to present the development and application of Mirce Functionability Equation which is the bedrock for the prediction of the functionability performance of maintainable systems.
Ding Yi
2009-01-01
In this article, the author derives a functional equation η(s)=［(π/4)s-1/2√2/πг(1-s)sin(πs/2)]η(1-s) of the analytic function η(s) which is defined by η(s)=1-s-3-s-5-s+7-s…for complex variable s with Re s>1, and is defined by analytic continuation for other values of s. The author proves (1) by Ramanujan identity (see [1], [3]). Her method provides a new derivation of the functional equation of Riemann zeta function by using Poisson summation formula.
Knopp, Konrad
1996-01-01
This is a one-volume edition of Parts I and II of the classic five-volume set The Theory of Functions prepared by renowned mathematician Konrad Knopp. Concise, easy to follow, yet complete and rigorous, the work includes full demonstrations and detailed proofs.Part I stresses the general foundation of the theory of functions, providing the student with background for further books on a more advanced level.Part II places major emphasis on special functions and characteristic, important types of functions, selected from single-valued and multiple-valued classes.
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
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
Perceptual Audio Hashing Functions
Emin Anarım
2005-07-01
Full Text Available Perceptual hash functions provide a tool for fast and reliable identification of content. We present new audio hash functions based on summarization of the time-frequency spectral characteristics of an audio document. The proposed hash functions are based on the periodicity series of the fundamental frequency and on singular-value description of the cepstral frequencies. They are found, on one hand, to perform very satisfactorily in identification and verification tests, and on the other hand, to be very resilient to a large variety of attacks. Moreover, we address the issue of security of hashes and propose a keying technique, and thereby a key-dependent hash function.
This appendix provides a brief definition of each of the 43 work functions for the 67 NPP units from North America and Western Europe that were the basis for the data in Appendix II. This information is provided to help the reader understand this data or to compare a given situation or plan to these functions. It is NOT intended to endorse this particular identification of workforce functions, as there is considerable variability in NPP workforce functions and organization worldwide based upon factors such as technology, national norms and culture, labour rules and laws, and industry practices
Functionalized surfaces and surface functionalization of nanomaterials
Tahir, Muhammad Nawaz
2006-01-01
Nature leads, we follow. But nanotechnologists are in hot pursuit, in designing controllable structures that can mimic naturally occurring and artificially synthesized materials on a common platform. The supramolecular chemistry concerns the investigation of nature principles to produce fascinating complexed and functional molecular assemblies, as well as the utilization of these principles to generate novel devices and materials, potentially useful for sensing, catalysis, transport and other...
Scaled Asymptotics for Some q-Series as q Approaches One
Zhang, Ruiming
2009-01-01
In this work we investigate Plancherel-Rotach type asymptotics for some $q$-series as $q\\to1$. These $q$-series generalize Ramanujan function $A_{q}(z)$ ($q$-Airy function), Jackson's $q$-Bessel function $J_{\
Normal Functions As A New Way Of Defining Computable Functions
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.
Normal Functions as a New Way of Defining Computable Functions
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.
Gardner, Richard J.; Kiderlen, Markus
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...
Funkcionalna androgenizacija: Functional hyperandrogenism:
Kocijančič, Andreja; Legan, Mateja
2001-01-01
Functional hyperandrogenism is common endocrinological disorder of premenopausal women characterized by hyperandrogenism, hirsutism with or without androgenic alopecia and chronic anovulation. The controversy regardingthe pathophysiological mechanism underlying the disease still persists. Insulin resistance and hyperinsulinism are now well recognized features of obese women with functional hyperandrogenism and accepted pathogenetic factor of disorder in obese patients. Insulin enhances lutheo...
Thyroid function in pregnancy☆
Leung, Angela M.
2012-01-01
Iodine is required for the production of thyroid hormones. Normal thyroid function during pregnancy is important for both the mother and developing fetus. This review discusses the changes in thyroid physiology that occur during pregnancy, the significance of thyroid function tests and thyroid antibody titers assessed during pregnancy, and the potential obstetric complications associated with maternal hypothyroidism.
... like asthma, chronic obstructive lung disease (COPD), or cystic fibrosis on lung function. ■■ Identify early changes in lung function that might show a need for a change in treatment. ■■ Detect narrowing in the airways. ■■ Decide if a ...
Knudsen, Lars Ramkilde; Rechberger, Christian; Thomsen, Søren Steffen
2007-01-01
state. We propose two concrete hash functions, Grindahl-256 and Grindahl-512 with claimed security levels with respect to collision, preimage and second preimage attacks of 2^128 and 2^256, respectively. Both proposals have lower memory requirements than other hash functions at comparable speeds and...
Functional and cognitive grammars
Anna Siewierska
2011-01-01
This paper presents a comprehensive review of the functional approach and cognitive approach to the nature of language and its relation to other aspects of human cognition. The paper starts with a brief discussion of the origins and the core tenets of the two approaches in Section 1. Section 2 discusses the similarities and differences between the three full-fledged structural functional grammars subsumed in the functional approach： Halliday＇s Systemic Functional Grammar （SFG）, Dik＇s Functional Grammar （FG）, and Van Valin＇s Role and Reference Grammar （RRG）. Section 3 deals with the major features of the three cognitive frameworks： Langacker＇s Cognitive Grammar （CG）, Goldberg＇s Cognitive Construction Grammar （CCG）, and Croft＇s Radical Construction Grammar （RCG）. Section 4 compares the two approaches and attempts to provide a unified functional-cognitive grammar. In the last section, the author concludes the paper with remarks on the unidirectional shift from functional grammar to cognitive grammar that may indicate a reinterpretation of the traditional relationship between functional and cognitive models of grammar.
Construction of Resilient Functions
ZHANG Jie; WEN Qiao-yan
2005-01-01
Based on the relationship between nonlinearity and resiliency of a multi-output function, we present a method for constructing nonintersecting linear codes from packing design. Through these linear codes, we obtain n-variable, moutput, t-resilient functions with very high nonlinearity.Their nonlinearities are currently the best results for most of cases.
Pick, Luboš; John, Oldrich; Fucík, Svatopluk
2012-01-01
This is the first part of the second revised and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as partial differential equations. Volum
Lind, Morten
2011-01-01
purpose of the present paper is to serve as a companion paper to this introduction by explaining the basic principles used in MFM for representation of control functions. A theoretical foundation for modeling control functions is presented and modeling examples are given for illustration....