Results 61 to 70 of about 1,199 (184)
Abstract Pupillometry has long been proposed as a noninvasive physiological measure for emotional valence. However, its empirical effectiveness remains inconclusive due to confounding visual and emotional factors. This study examined whether pupil response patterns alone can reliably distinguish between positive and negative emotional stimuli while ...
Jung Joo Lee +3 more
wiley +1 more source
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
doaj +1 more source
Fractional Supersymmetric Hermite Polynomials
We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
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Probabilistic Identification of Parameters in Dynamic Fracture Propagation
ABSTRACT In this paper, we propose a novel multiphase approach for identifying input parameters in dynamic fracture propagation. Often, such parameters are partially known and uncertain with incomplete input data, resulting in challenges in predicting a reliable dynamic failure response.
Andjelka Stanić +3 more
wiley +1 more source
Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley +1 more source
On the degree of approximation of the Hermite and Hermite-Fejer interpolation
Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source
An Inequality for Hermite Polynomials [PDF]
1. G. Higman, Enumerating p-groups, I: Inequalities, Proc. London Math. Soc. vol. 10 (1960) pp. 24-30. 2. , Enumerating p-groups, II: Problems whose solution is PORC, Proc. London Math. Soc. vol. 10 (1960) pp. 566-582. 3. M. Hall, Jr., The theory of groups, New York, Macmillan, 1959. 4. K. W.
openaire +2 more sources
Identities associated with Milne–Thomson type polynomials and special numbers
The purpose of this paper is to give identities and relations including the Milne–Thomson polynomials, the Hermite polynomials, the Bernoulli numbers, the Euler numbers, the Stirling numbers, the central factorial numbers, and the Cauchy numbers.
Yilmaz Simsek, Nenad Cakic
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