Results 41 to 50 of about 53,283 (278)
Normalization of the wavwfunction for the Calogero-Sutherland model with internal degrees of freedom
, 1994 The exact normalization of a multicomponent generalization of the ground state wavefunction of the Calogero-Sutherland model is conjectured. This result is obtained from a conjectured generalization of Selberg's $N$-dimensional extension of the Euler ...
Forrester, P. J.
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Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]
Opuscula Mathematica, 2008 In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Paweł Karczmarek
doaj
Multiple Twinning in Nacre and Aragonite
Advanced Functional Materials, EarlyView.Electron backscatter diffraction map of a cluster of geologic aragonite, exhibiting single, double, and triple twins. The whole cluster is approximately 2 cm wide. Colors indicate crystal orientations, so that pixels where the a‐, b‐, and c‐axis is perpendicular to the image plane are green, red, and blue, respectively.
Connor A. Schmidt +7 more
wiley +1 more source
AIMS MathematicsIn this paper, we introduce two novel classes of functions termed the harmonically trigonometric $ p $-convex functions on $ \Delta = [\tau, \upsilon]\times[\varphi, \chi] $ and harmonically trigonometric $ p $-coordinated convex functions.
Sabila Ali +3 more
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Discrete Fourier analysis with lattices on planar domains
, 2009 A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains
Advanced Robotics Research, EarlyView.How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao +3 more
wiley +1 more source
Integral formulas for wave functions of quantum many-body problems and representations of gl(n)
, 1994 We derive explicit integral formulas for eigenfunctions of quantum integrals of the Calogero-Sutherland-Moser operator with trigonometric interaction potential. In particular, we derive explicit formulas for Jack's symmetric functions.
Etingof P. I., Pavel Etingof
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Advanced Robotics Research, EarlyView.This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source
Nonlocal Telegraph Equation in Frame of the Conformable Time-Fractional Derivative
Advances in Mathematical Physics, 2019 We use the cosine family of linear operators to prove the existence, uniqueness, and stability of the integral solution of a nonlocal telegraph equation in frame of the conformable time-fractional derivative.
Mohamed Bouaouid +2 more
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