Results 61 to 70 of about 1,199 (184)

Emotional valence through pupil: Machine learning classification under controlled visual complexity and emotional arousal in young adults

open access: yesPhysiological Reports, Volume 14, Issue 5, March 2026.
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

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

open access: yesMathematics, 2018
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

open access: yesMathematics, 2020
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
doaj   +1 more source

Probabilistic Identification of Parameters in Dynamic Fracture Propagation

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
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

open access: yesMathematics, 2019
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
doaj   +1 more source

Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
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
doaj   +1 more source

An Inequality for Hermite Polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
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

open access: yesJournal of Inequalities and Applications, 2018
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
doaj   +1 more source

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