Results 91 to 100 of about 1,536 (263)
Journal of Applied Mathematics, 2013 Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x).
J. Y. Kang, C. S. Ryoo
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An exciting Approach to Theoretical Spectroscopy
Advanced Science, EarlyView.ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno +29 more
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Advanced Science, EarlyView.Task‐adaptive programmable optics enables label‐free virtual staining through optical‐attention‐guided acquisition and reconstruction. By optimizing wavelength, illumination angle, exposure time, and imaging depth, the framework learns task‐relevant optical measurements, generating clinically interpretable virtual stains with improved fidelity, non ...
Tianyue He +13 more
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Differential equations associated with generalized Bell polynomials and their zeros
Open Mathematics, 2016 In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials.
Ryoo Seoung Cheon
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On Integral Zeros of Krawtchouk Polynomials
Journal of Combinatorial Theory, Series A, 1996 The (binary) Krawtchouk polynomials \(P^n_k (x)\) are defined by \(\sum_{k = 0}^\infty P^k_n (x) z^k = (1 - z)^x (1 + z)^{n - x}\). The existence, respectively nonexistence, of integer roots of \(P^n_k (x)\) is of relevance in a number of different problems, like graph reconstruction problems or existence problems for codes.
Ilia Krasikov, Simon Litsyn
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A Smart Fluid‐Hydraulic System Based on MRF Valve Control and Its Application in Flexible Grasping
Advanced Science, EarlyView.This study introduces a smart fluid hydraulic system using MRF valve control for flexible gripping. An MRF‐MSV with an integrated excitation coil and micro‐textured damping channels is designed and validated; micro‐texturing increases hydraulic resistance. Coupled with a soft actuator, the MRF‐MSV enables dynamic bending and grasping.
Linfeng Huo +5 more
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Exploring Zeros of Hermite-λ Matrix Polynomials: A Numerical Approach
MathematicsThis article aims to introduce a set of hybrid matrix polynomials associated with λ-polynomials and explore their properties using a symbolic approach.
Maryam Salem Alatawi +3 more
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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
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A Generative Neuro‐Symbolic AI for Protein Sequence Design
Advanced Science, EarlyView.We introduce EffieDes, a neuro‐symbolic framework coupling deep learning‐based fitness landscape parameterization with exact automated reasoning. Unlike greedy sampling, EffieDes identifies sequences that globally optimize fitness while satisfying intricate design constraints.
Marianne Defresne +12 more
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Tridiagonal Operators and Zeros of Polynomials in Two Variables
Abstract and Applied Analysis, 2016 The aim of this paper is to connect the zeros of polynomials in two variables with the eigenvalues of a self-adjoint operator. This is done by use of a functional-analytic method.
Chrysi G. Kokologiannaki +2 more
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