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Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
Electronic structure Kohn–Sham density functional theory Discontinuous Galerkin Adaptive local basis set Enrichment functions Eigenvalue problem
2015/7/14
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...
Calculation of Some Expected Values for Parameterized Mean Model with Gaussian Noise
Calculation Expected Values Parameterized Mean Model Gaussian Noise
2012/11/23
This document derives several expected values related to the parameterized mean model with Gaussian noise and their simplified forms.
A calculation of a half-integral weight multiplier system on SU(2,1)
half-integral weight multiplier system Number Theory
2011/9/1
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...
Direct calculation of higher rank invariants of stable pairs using the Joyce machinery of stack functions
higher rank invariants Direct calculation Joyce machinery stack functions
2011/8/23
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 ...
Logarithmic Poisson cohomology: example of calculation and application to prequantization
Logarithmic Poisson cohomology application prequantization
2011/2/24
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...
Analytical calculation of fragmentation transitions in adaptive networks
adaptive networks absorbing transition opinion formation
2010/12/28
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...
Calculation of generalized Hubbell rectangular source integral
Appell hypergeometric functions F2 Hubbell radiation rectangular source integral
2010/12/3
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...
A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
numerical algorithm explicit calculation Clebsch-Gordan coefficients
2010/11/29
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...
An algorithm for the calculation of progress or regress via TOPSIS and Malmquist productivity index
Topsis, Positive ideal solution Nagative ideal solution
2010/9/17
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...
Graph-Laplacians and Dirac Operators on (Infinite) Graphs and the Calculation of the Connes-Distance-Functional
Graph-Laplacians Dirac Operators Calculation the Connes-Distance-Functional
2010/11/1
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...