Results 41 to 50 of about 13,679 (194)

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

Structural and Compositional Effects on the Scintillation Properties of Fast Emitting Metal‐Organic Frameworks

Advanced Science, EarlyView.
The crystalline structure, the atomic numbers of the constituent elementsand the size of MOF crystals each influence their photoluminescence and scintillation properties in distinct ways. Together, these factors provide valuable guidelines for designing systems with optimized performance and tunable timing characteristics, arising from the synergistic ...
Francesca Cova, Jacopo Perego, Biplab Joarder, Nobuhiro Yanai, Anna Vedda, Silvia Bracco, Angiolina Comotti, Angelo Monguzzi, Irene Villa   +8 more
wiley   +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

Operando X‐Ray Diffraction and Total Scattering Characterization of Battery Materials: Not Just a Pretty Picture

Advanced Energy Materials, EarlyView.
This review focuses on operando studies of battery materials by X‐ray diffraction (XRD) and total X‐ray scattering (TXS). This work highlights potential pitfalls and identify best‐practices for operando studies and reviews some unusual experiments to illustrate how these methods can be applied beyond the evaluation of the early‐stage cycling mechanisms
Amalie Skurtveit, Eira Tiberg North, Izar Capel Berdiell, Wouter Van Beek, David S. Wragg, Alexey Y. Koposov   +5 more
wiley   +1 more source

The expansion approach for solving cauchy integral equation of the first kind [PDF]

, 2010
In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions.
Eshkuratov, Zainidin K., Nik Long, Nik Mohd Asri, Yaghobifar, Mohammad   +2 more
core  

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

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

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang, Min Zhu, Wei Xiong, Si‐Wei Liu, Lu Lu   +4 more
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