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A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
Computer Algebra Harmonic Sums Related Particle Physics
2010/11/11
In this work we present the computer algebra package HarmonicSums and its theoretical background for the manipulation of harmonic sums and some related quantities as for example Euler-Zagier sums and...
$L^p$ and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach
Sobolev boundedness pseudodifferential operators non-regular symbol
2010/11/11
In this paper we investigate $L^p$ and Sobolev boundedness of a certain class of pseudodifferential operators with non-regular symbols. We employ regularisation methods, namely convolution with a net ...
A parametric approach to list decoding of Reed-Solomon codes using interpolation
list decoding of Reed-Solomon codes interpolation
2010/11/11
In this paper we present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Minimal list decoding for a code $C$ refers to list decoding with radius $L$, where $L$ is the minimum of the d...
Tools of Toys? On Specific Challenges for Modeling and the Epistemology of Models and Computer Simulations in the Social Sciences
Epistemology Simulations Social Limitations Mathematical Methods
2011/9/6
Mathematical models are a well established tool in most natural sciences. Although models have been neglected by the philosophy of science for a long time, their epistemological status as a link betwe...
A (k, g)-graph is a k-regular graph of girth g, and a (k, g)-cage is a (k, g)-graph of mini-
mum order. We show that a (3,11)-graph of order 112 found by Balaban in 1973 is minimal and unique. We als...
Complete classification of the positive solutions of $-Δu + u^q=0$
positive solutions of $-Δu + u^q=0$
2010/12/9
We study the equation −u+uq = 0, q > 1, in a bounded C2 domain RN. A positive solution of the equation is moderate if it is dominated by a harmonic function and -moderate if it is the limit ...
基于主观逻辑扩展的实体行为动态可信模型
主观逻辑 动态可信 可信评测 实体行为
2011/12/27
从实体行为可信性的主观角度出发,针对传统主观逻辑理论没有考虑主观评测结果随时间动态变化的问题,提出对主观逻辑理论进行动态化多维扩展的思想,将传统的二维观点空间扩展为多维动态观点空间.在综合考虑实体行为的声誉和风险的基础上构建起实体可信度评价体系,提出一个基于主观逻辑扩展的实体行为动态可信评测模型.实验结果表明,该模型对实体恶意行为的反应更加灵敏,检测更加准确,抑制更加有效.
The $\star$-operator and Invariant Subtraction Games
Beatty sequence Complementary sequences Dual game
2010/12/9
We study 2-player impartial games, so called invariant subtraction games, of the type, given a set of allowed moves the players take turn in moving one single piece on a large Chess board towards the ...
Accelerating the CM method
CM method
2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
Canonical description of incompressible fluid -- Dirac brackets approach
Fluid dynamics Poisson structure Dirac brackets Canonical description
2010/12/15
We present a novel canonical description of the incompressible fluid dynamics. This de-
scription uses the dynamical constraints, in our case reflecting incompressibility assumption, and leads to rep...
Solvability of second-order equations with hierarchically partially BMO coefficients
Second-order equations vanishing mean oscillation partially BMO coefficients
2010/12/14
By using some recent results for divergence form equations obtained in [7, 10], we study the Lp-solvability of second-order ellip-tic and parabolic equations in nondivergence form for any p 2 (1,1).Th...
The Realizable Extension Problem and the Weighted Graph $(K_{3,3},l)$
Moduli spaces realizations weighted graphs configuration space
2010/12/14
This note outlines the realizable extension problem for weighted graphs and provides results of a detailed analysis of this problem for the weighted graph (K3 ,3, l).
Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
Laguerre expansions Hermite expansions harmonic oscillator
2010/12/6
We present a new criterion for the boundedness in weighted Lp spaces of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we re...
On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
computation non-perturbative effective potentials theory landscape -- IIB/F-theory perspective
2010/12/16
We discuss a number of issues arising when computing non-perturbative e ects systematically across the string theory landscape. In particular, we cast the study of fairly generic physical properties i...
Index computations in Rabinowitz Floer homology
Index computations Rabinowitz Floer homology
2010/12/9
In this note we study two index questions. In the first we establish the relationship between the Morse indices of the free time action functional and the fixed time action functional. The
second is ...