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In this report, fundamental educational concepts of linear and non-linear equations and solutions of nonlinear equations from the book High-Temperature Superconductivity: The Nonlinear Mechanism and T...
Abstract: We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir \otimes A, where Vir is the Virasoro algebra and A is a Noetherian commutative associati...
Abstract: Let $\Lambda$ be a lattice of rank $n$. A Lie algebra on the lattice $\Lambda$ is a Lie algebra ${\cal L}=\oplus_{\lambda\in\Lambda}\,{\cal L}_{\lambda}$ such that $\dim\,{\cal L}_\lambda=1$...
Abstract: Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 32, 2988-29...
The Weyl and Ricci tensors can be algebraically classified in a Lorentzian spacetime of arbitrary dimensions using alignment theory. Used in tandem with the boost weight decomposition and curvature op...
As a difference with the positive-definite Riemannian case, in the Lorentzian case there exists proper second-order symmetric spacetimes, i.e., those with vanishing second covariant derivative of the ...
The results of a genetic algorithm optimization of the WINDMI model using the Blanchard-McPherron substorm data set is presented. A key result from the large-scale computations used to search for conv...
An ensemble of mutually orthogonal multipartite states may not be distinguishable by means of local operations and classical communication (LOCC) and could exhibit a kind of nonlocality different from...
2006Vol.45No.4pp.596-600DOI: LU Invariants and Canonical Forms and SLOCC Classification of Pure 3-Qubit States DI Yao-Min and Cao Ya Department of Physics, Xuzhou Normal...
2005Vol.44No.4pp.589-596DOI: Classification and Functional Separable Solutions to Extended Nonlinear Wave Equations ZHANG Shun-Li,1,2,3 LOU Sen-Yue,3,4 QU Chang-Zheng,2 and YUE R...
Classification of Basis States for (p-f)-Nuclei (41≤A≤80) with Minimal Configuration Energy.

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