Results 111 to 120 of about 737,384 (277)
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 +11 more
wiley +1 more source
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 +5 more
wiley +1 more source
Quadratic forms and Clifford algebras on derived stacks [PDF]
arXiv, 2013 In this paper we present an approach to quadratic structures in derived algebraic geometry. We define derived n-shifted quadratic complexes, over derived affine stacks and over general derived stacks, and give several examples of those. We define the associated notion of derived Clifford algebra, in all these contexts, and compare it with its classical
arxiv
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, EarlyView.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
Étale Descent of Derivations [PDF]
Transformation Groups, Volume 18, Issue 4 (2013), 1189-1205, 2013 We study \'etale descent of derivations of algebras with values in a module. The algebras under consideration are twisted forms of algebras over rings, and apply to all classes of algebras, notably associative and Lie algebras, such as the multiloop algebras that appear in the construction of extended affine Lie algebras.
arxiv
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
Differential Geometry on Hopf Algebras and Quantum Groups (Ph.D. Thesis) [PDF]
arXiv, 1994 The differential geometry on a Hopf algebra is constructed, by using the basic axioms of Hopf algebras and noncommutative differential geometry. The space of generalized derivations on a Hopf algebra of functions is presented via the smash product, and used to define and discuss quantum Lie algebras and their properties.
arxiv
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
steel research international, Volume 93, Issue 12, December 2022., 2022 A generic kinetic model capable of reproducing the iron ore pellet reduction process for a wide range of experimental operating conditions is demonstrated. Experimental backed analysis of the carburization process enlightens the complex reduction process.
Mohammed Liaket Ali +2 more
wiley +1 more source
Every monomorphism of the Lie algebra of unitriangular polynomial derivations is an automorphism [PDF]
arXiv, 2012 We prove that every monomorphism of the Lie algebra $\ggu_n$ of unitriangular derivations of the polynomial algebra $P_n=K[x_1,..., x_n]$ is an automorphism.
arxiv