Results 81 to 90 of about 4,491 (232)
Incomplete q-Chebyshev polynomials
Filomat, 2018 In this paper, we get the generating functions of the q-Chebyshev polynomials using ?z operator, which is ?z (f(z))= f(qz) for any given function f (z). Also considering explicit formulas of the q-Chebyshev polynomials, we give new generalizations of the q-Chebyshev polynomials called the incomplete q-Chebyshev polynomials of the first and ...
Cetin, Mirac, Ercan, Elif, TUĞLU, NAİM
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ChemPhysChem, Volume 26, Issue 19, October 6, 2025.The image is supposed to evoke particle swarm optimization applied to Bi–Pt bimetallic nanoparticles. Each bird represents a candidate nanoparticle structure. The lake and its shorelines represent the potential energy surface, generated using the ChiMES physics‐informed machine learning potential.
Raphaël Vangheluwe +6 more
wiley +1 more source
A New Identity Involving the Chebyshev Polynomials
Mathematics, 2018 In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev ...
Yixue Zhang, Zhuoyu Chen
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On the Polynomial Multiplication in Chebyshev Form
IEEE Transactions on Computers, 2012 We give an efficient multiplication method for polynomials in Chebyshev form. This multiplication method is different from the previous ones. Theoretically, we show that the number of multiplications is at least as good as Karatsuba-based algorithm. Moreover, using the proposed method, we improve the number of additions slightly.
Akleylek, Sedat +2 more
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Energy Science &Engineering, Volume 13, Issue 10, Page 4955-4972, October 2025.ABSTRACT The study of nanofluids has attracted significant attention due to their superior thermophysical properties, making them ideal for thermal transport in engineering and biomedical applications. Motivated by these capabilities, this study develops a novel three‐dimensional mathematical model for electrically conducting Sutterby nanofluids ...
A. M. Obalalu +4 more
wiley +1 more source
Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials
JTAM (Jurnal Teori dan Aplikasi Matematika)Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika +2 more
doaj +1 more source
On Polynomial Multiplication in Chebyshev Basis [PDF]
IEEE Transactions on Computers, 2012 In a recent paper Lima, Panario and Wang have provided a new method to multiply polynomials in Chebyshev basis which aims at reducing the total number of multiplication when polynomials have small degree. Their idea is to use Karatsuba's multiplication scheme to improve upon the naive method but without being able to get rid of its quadratic complexity.
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Rician Likelihood Loss for Quantitative MRI With Self‐Supervised Deep Learning
NMR in Biomedicine, Volume 38, Issue 10, October 2025.We introduce a numerically accurate and stable negative log Rician (NLR) likelihood loss for quantitative MR imaging with self‐supervised deep learning. Self‐supervised neural networks trained with the NLR loss have reduced bias in intra‐voxel incoherent motion diffusion coefficient at low signal‐to‐noise ratio (SNR) compared to the traditional mean ...
Christopher S. Parker +5 more
wiley +1 more source
The Chebyshev polynomial of best approximation to a given function on an interval [PDF]
, 1966 Oved Shisha
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Average‐Case Matrix Discrepancy: Satisfiability Bounds
Random Structures &Algorithms, Volume 67, Issue 3, October 2025.ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley +1 more source