Results 31 to 40 of about 541 (183)

A New Class of Dual-Band Waveguide Filters Based on Chebyshev Polynomials of the Second Kind

IEEE Access, 2020
This paper presents for the first time a method of mathematical synthesis involving chaining of Chebyshev polynomials of the second kind for the application of a dual-band waveguide filter. This method takes advantage of second kind Chebyshev polynomials
Yuhao Leong, Sovuthy Cheab, Socheatra Soeung, Peng Wen Wong   +3 more
doaj   +1 more source

The eigenvalues of one-speed neutrons in a slab with forward and backward scattering

Tehnički Glasnik, 2019
The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given.
Ökkeş Ege, Hakan Öztürk
doaj   +1 more source

A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind

Journal of Mathematical Analysis and Applications, 2017
We show that the only polynomial sets with a generating function of the form F (xt -- R(t)) and satisfying a three-term recursion relation are the monomial set and the rescaled ultraspherical, Hermite, and Chebyshev polynomials of the first kind.
Mesk, Mohammed, Zahaf, Mohammed Brahim
openaire   +4 more sources

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Data‐Driven High‐Throughput Volume Fraction Estimation From X‐Ray Diffraction Patterns

Advanced Intelligent Discovery, EarlyView.
Long exposure times and the need for manual evaluation limit the use of X‐ray diffraction in high‐throughput applications. This study presents a data‐driven approach addressing both issues. HiVE (a method for High‐throughput Volume fraction Estimation) performs composition estimation for high‐noise XRD patterns produced using polychromatic emission ...
Hawo H. Höfer, André Orth, Robert Wang, Ben Breitung, Simon Schweidler, Jasmin Aghassi‐Hagmann, Markus Reischl   +6 more
wiley   +1 more source

Derivations and identities for Chebyshev polynomials of the first and second kinds

, 2019
In this paper we follow the general approach, proposed earlier by the first author, which is derived from the invariant theory field and provides a way of obtaining of the polynomial identities for any arbitrary polynomial family. We introduce the notion of Chebyshev derivations of the first and second kinds, which is based on the polynomial algebra ...
Bedratyuk, Leonid, Luno, Nataliia
openaire   +2 more sources

Nonlinear permuted Granger causality

Canadian Journal of Statistics, EarlyView.
Abstract Granger causality is an established, contentious method that seeks causal temporal connections via association and precedence. While not true causal inference, it assists in mapping networks of information flow that may warrant further study.
Noah D. Gade, Jordan Rodu
wiley   +1 more source

Solving change of basis from Bernstein to Chebyshev polynomials

Examples and Counterexamples
We provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
doaj   +1 more source

The Hydrogenation of MNi3 Compounds (M = Si, Ge, Sn, Sb, Zr, V, Fe)

European Journal of Inorganic Chemistry, EarlyView.
Hexagonal Ni3Sn takes up hydrogen to form α‐Ni3SnHx (filled Ni3Sn type, ΔV = 0.9%), followed by a transition to the cubic β‐Ni3SnHy (filled AuCu3 type, ΔV = 1.1% with respect to pristine Ni3Sn), while MNi3 (M = Zr, Si, Sb) compounds show no reaction toward hydrogen and MNi3 (M = V, Fe, Ge) compounds only a minute hydrogen uptake.
André Götze, Mihai I. Sturza, Leonie Jurkschat, Önder F. Serhadli, Anastasiya Yu. Polevik, Alexey N. Kuznetsov, Holger Kohlmann   +6 more
wiley   +1 more source

A characterization of the four Chebyshev orthogonal families

International Journal of Mathematics and Mathematical Sciences, 2005
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa, A. Cachafeiro, J. M. Garcia-Amor   +2 more
doaj   +1 more source