Results 111 to 120 of about 19,319 (303)

A Simultaneous Decomposition for a Quaternion Tensor Quaternity with Applications

Mathematics
Quaternion tensor decompositions have recently been the center of focus due to their wide potential applications in color data processing. In this paper, we establish a simultaneous decomposition for a quaternion tensor quaternity under Einstein product.
Jia-Wei Huo, Yun-Ze Xu, Zhuo-Heng He
doaj   +1 more source

X‐Ray Absorption Studies of Local Structure of Dilute Ionic Species in Molten Salts

Chemistry–Methods, EarlyView.
This article reviews the state of the art in the use of X‐ray absorption spectroscopy methods, both experimental and theoretical, for understanding the structure of dopant metal ions in molten salts. Recent strategies, including molecular dynamics simulations and neural network–assisted analysis of X‐ ray absorption spectroscopy as well as chemometrics
Kaifeng Zheng, Nirmalendu Patra, Nicholas Marcella, Alexander S. Ivanov, James F. Wishart, Alejandro R. Ballesteros, Ruchi Gakhar, Sheng Dai, Santanu Roy, Vyacheslav Bryantsev, Simerjeet K. Gill, Anatoly I. Frenkel   +11 more
wiley   +1 more source

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Computation
The article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies
Syrym E. Kasenov, Zhanar E. Demeubayeva, Nurlan M. Temirbekov, Laura N. Temirbekova   +3 more
doaj   +1 more source

Discussion: “Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms” (Yang, A. T., and Freudenstein, F., 1964, ASME J. Appl. Mech., 31, pp. 300–308) [PDF]

, 1965
J. S. Beggs
openalex   +1 more source

Testing Protocols for Obtaining Reliable Pair Distribution Functions from Laboratory X‐Ray Sources Using PDFgetX3

Chemistry–Methods, EarlyView.
This work explores data acquisition and reduction protocols for atomic pair distribution scheme that enhances high‐angle data collection, and the effects of instrumental parameters on resulting pair distribution functions are examined. A correction for sample absorption in PDFgetX3 is introduced. Herein, data acquisition protocols are explored and data
Till Schertenleib, Daniel Schmuckler, Yucong Chen, Geng Bang Jin, Wendy L. Queen, Simon J. L. Billinge   +5 more
wiley   +1 more source

Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

Mathematical Methods in the Applied Sciences, EarlyView., 2022
This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley   +1 more source

Quadratic forms over nonformally real fields with a finite number of quaternion algebras [PDF]

, 1976
Craig M. Cordes
openalex   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Embedding Rings with a Maximal Cone and Rings with an Involution in Quaternion Algebras [PDF]

, 1973
Carl W. Kohls, William H. Reynolds
openalex   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source