Results 121 to 130 of about 9,834 (320)

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

open access: yesChemistry–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   +11 more
wiley   +1 more source

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

open access: yesChemistry–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   +5 more
wiley   +1 more source

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

open access: yesCommunications 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

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

open access: yesCommunications 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

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun   +2 more
wiley   +1 more source

Multi‐view subspace clustering with incomplete graph information

open access: yesIET Computer Vision, EarlyView., 2022
Abstract The core of multi‐view clustering is how to exploit the shared and specific information of multi‐view data properly. The data missing and incompleteness bring great challenges to multi‐view clustering. In this paper, we propose an innovative multi‐view subspace clustering method with incomplete graph information, so‐called incomplete multiple ...
Xiaxia He   +5 more
wiley   +1 more source

Enhancing Geometry Teaching in STEAM Education with Interactive Learning Environments

open access: yesInternational Journal of Information and Education Technology
In confronting the challenge of effectively integrating technology into mathematics education, this study investigates the impact of GeoGebra, an interactive learning tool, on enhancing the understanding of geometry among high school students.
Lyazzat Zhaydakbayeva
semanticscholar   +1 more source

An analytical solution of direction evolution of crack growth during progressive failure in brittle rocks

open access: yesDeep Underground Science and Engineering, EarlyView.
A novel analytical method is proposed to evaluate the shear stress effect on the progressive compressive failure and microcrack growth direction in brittle rocks. The shear stress effect on the wing crack growth direction during the progressive compressive failure is determined. The initial crack angle effect on the y‐direction peak stress and the wing
Xiaozhao Li   +6 more
wiley   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

open access: yesDeep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

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