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Kohn–Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn–Sham Hamiltonian generally result...
This document derives several expected values related to the parameterized mean model with Gaussian noise and their simplified forms.
Abstract: In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1...
Abstract: The rank 2 invariants of stable pairs over a Calabi-Yau threefold were computed in (arXiv:1101.2252) using the wall-crossing formula of Joyce-Song and Kontsevich-Soibelman. The computations ...
In this paper, we introduce the notions of logarithmic Poisson structure and logarithmic principal Poisson structure; we prove that the latter induces a representation by logarithmic derivation of t...
In adaptive networks fragmentation transitions have been observed in which the network breaks into disconnected components. We present an analytical approach for calculating the transition point in ...
We calculate the local Fourier transforms for connections on the formal punctured disk, corroborating the results of J. Fang and C. Sabbah using a different method. Our method is similar to Fang's, bu...
A simple formula for computing the generalized Hubbell radiation rectangular source integral H  a, b, p, λ α, β, γ  = σa 4π Z b 0 x(x2 + p)− 2F1(α, β; γ;− a2\ x2 + p )dx, is introduce...
We present an algorithm for the explicit numerical calculation of SU(N) and SL(N;C) Clebsch-Gordan coecients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is well suited for numerical...
In this paper, the TOPSIS method is used for two times t and t + 1. In order to calculate the progress or regress via Malmquist index, the positive and negative ideal and negative ideals at time t and...
CALCULATION OF NAMBU MECHANICS          2007/12/12
In this paper, a fundamental fact that Nambu mechanics is source free was proved. Based on this property, and via the idea of prolongation, finite dimensional Nambu system was prolonged to differen...
期刊信息 篇名 Computer symbol calculation of invariants of three-manifolds obtained from trefoil knot 语种 英文 撰写或编译 撰写 作者 李邦河,李起升,C.Peterson 第一作者单位 中科院数学与系统科学研究院 刊物名称 Chinese Science Bulletin (科学通报英文版) 页面 vol...
We develop a graph-Hilbert-space framework, inspired by non-commutative geometry, on (infinite) graphs and use it to study spectral properies of \tit{graph-Laplacians} and so-called \tit{graph-Dirac-o...

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