Results 121 to 130 of about 56,667 (302)
Abstract This paper introduces the generalized Hausman test as a novel method for detecting the non‐normality of the latent variable distribution of the unidimensional latent trait model for binary data. The test utilizes the pairwise maximum likelihood estimator for the parameters of the latent trait model, which assumes normality of the latent ...
Lucia Guastadisegni+3 more
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Linearization of Arbitrary products of classical orthogonal polynomials [PDF]
Mahouton Norbert Hounkonnou+2 more
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Abstract Psychological concepts are increasingly understood as complex dynamic systems that change over time. To study these complex systems, researchers are increasingly gathering intensive longitudinal data (ILD), revealing non‐linear phenomena such as asymptotic growth, mean‐level switching, and regulatory oscillations.
Jan I. Failenschmid+3 more
wiley +1 more source
On the analytic form of the discrete Kramer sampling theorem
The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems.
Antonio G. García+2 more
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Dual equations and classical orthogonal polynomials
Abstract : Dual integral equations involving Bessel functions and dual series equations involving Jacobi polynomials occur in several branches of applied mathematics and large classes of these equations can now be solved. We show how many dual sequence equations involving Jacobi and Laguerre polynomials can be solved by similar methods. (Author)
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Neural Geometry Processing via Spherical Neural Surfaces
Abstract Neural surfaces (e.g., neural map encoding, deep implicit, and neural radiance fields) have recently gained popularity because of their generic structure (e.g., multi‐layer perceptron) and easy integration with modern learning‐based setups. Traditionally, we have a rich toolbox of geometry processing algorithms designed for polygonal meshes to
Romy Williamson, Niloy J. Mitra
wiley +1 more source
Multiphysics Simulation Methods in Computer Graphics
Abstract Physics simulation is a cornerstone of many computer graphics applications, ranging from video games and virtual reality to visual effects and computational design. The number of techniques for physically‐based modeling and animation has thus skyrocketed over the past few decades, facilitating the simulation of a wide variety of materials and ...
Daniel Holz+5 more
wiley +1 more source
On classical orthogonal polynomials on bi-lattices
In [J. Phys. A: Math. Theor. 45 (2012)], while looking for spin chains that admit perfect state transfer, Vinet and Zhedanov found an apparently new sequence of orthogonal polynomials, that they called para-Krawtchouk polynomials, defined on a bilinear lattice.
Castillo, K., Filipuk, G., Mbouna, D.
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ABSTRACT Aim How communities of organisms come together has long fascinated scientists, with renewed interest in using functional and evolutionary patterns to infer mechanisms of community assembly. Ecological theory predicts that biotic interactions could lead to either divergence in the event of niche partitioning or convergence through the exclusion
Nestor E. Bosch+6 more
wiley +1 more source
Orthogonal Basic Hypergeometric Laurent Polynomials
The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
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