Results 131 to 140 of about 2,523,007 (359)
Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver
Communications on Pure and Applied Mathematics, EarlyView.Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley +1 more source
Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
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Sums of squares in central simple algebras
Mathematische Zeitschrift, 1985 Let A be a central simple algebra over a field F of characteristic not equal to two. It is proved that zero is a non-trivial sum of squares in A if and only if the trace form of A over F is weakly isotropic. This confirms a recent conjecture of Leep, Shapiro and Wadsworth.
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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MODELING IN MAPLE AS THE RESEARCHING MEANS OF FUNDAMENTAL CONCEPTS AND PROCEDURES IN LINEAR ALGEBRA
Ìнформаційні технології в освіті, 2016 The article is devoted to binary technology and "fundamental training technology." Binary training refers to the simultaneous teaching of mathematics and computer science, for example differential equations and Maple, linear algebra and Maple.
Vasil Kushnir
doaj
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, EarlyView.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
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Endomorphism and automorphism structure of direct squares of universal algebras [PDF]
, 1975 Matthew Gould
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Calculus in O-algebras with positive squares [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2004 Let $A$ be an $\mathcal{O}$-algebra with positive squares and $F\left( X_{1},...,X_{n}\right) \in\linebreak\mathbb{R}^{+}\left[ X_{1},...,X_{n}\right] $ be a homogeneous polynomial of degree $p$ $\left( p\in\mathbb{N}^{\ast },\text{ }p\neq2\right) $. It is shown that for all $0\leq a_{1},...,a_{n}\in A$ there exists $0\leq a$ $\in A$ such that $F\left(
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Dynamic Properties of the Warm Dense Uniform Electron Gas With the qSTLS Dielectric Scheme
Contributions to Plasma Physics, EarlyView.ABSTRACT The recently derived Fourier–Matsubara expansion of imaginary–time correlation functions comprises an exact result of linear response theory for finite‐temperature quantum many‐body systems. In its density–density version, the expansion facilitates systematic comparisons between quasi‐exact ab initio path integral Monte Carlo simulations and ...
Panagiotis Tolias +3 more
wiley +1 more source