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Dual Formulations of Mixed Finite Element Methods
Dual Formulations Mixed Finite Element Methods
2011/2/22
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different variables should be store...
On commutative, operator amenable subalgebras of finite von Neumann algebras
On commutative operator amenable subalgebras finite von Neumann algebras
2011/2/23
An open question, raised independently by several authors, asks if a closed amenable subalgebra of B(H) must be similar to an amenable C-algebra; the question remains open
even for singly-generated ...
应用逐次逼近法研究了随机Volterra-Levin 方程解的存在性,并结合Hölder 不等式证明了该方程解的唯一性与稳定性.最后用 2 个例子说明所获结果的有效性,同时表明条“存在常数 0, m > 使得0()dLps s m−=∫”和“对所有的 0 t ≥, 42 0()d /tms mtetse αασ∫都有界”是对Luo 提出的条件进行了改进.
向量优化问题严格有效性的二阶最优性条件
正则性条件 Lagrange乘子法则 严格有效性 向量优化 二阶最优性条件
2012/11/6
利用约束集的相依锥以及线性锥,结合凸集分离定理,在适当的正则性条件下得到了一类带字典序的向量优化问题的Lagrange乘子法则,并在此基础上提出了Lagrangian函数的概念.同时,利用Lagrangian函数建立了向量优化问题严格有效性的二阶最优性条件.
Some attempts at proving the non-existence of a full set of mutually unbiased bases in dimension 6
attempts non-existence of a full set mutually unbiased
2011/1/21
A set of k mutually unbiased bases (MUB) in CN is a set of orthonormal bases whose basis
vectors obey the following relations.
We give here direct proof of a recent conjecture of Jauregui and Tsallis about a new representation of Dirac’s delta distribution by means of q-exponentials. The proof is based in the use of tempered ...
Inverse Additive Problems for Minkowski Sumsets II
Brunn-Minkowski convex bodies sumset convex functions
2011/2/21
The Brunn-Minkowski Theorem asserts that μd(A + B)1/d μd(A)1/d + μd(B)1/d for convex bodies A, B Rd, where μd denotes the d-dimensional Lebesgue measure.
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
On extension for infinite horizon game of pursuit-evasion
extension infinite horizon game of pursuit-evasion
2011/2/21
В работе строится расширение конфликтно-управляемых задач на бесконечном промежутке. Соот-ветствующее расширение является проективным пределом сужений исходной игры на ограниченные промежутки времени.
Reconstruction in quantum field theory with a fundamental length
Reconstruction quantum field theory fundamental length
2011/2/21
In this paper, we establish an analog of Wightman’s reconstruction theorem for nonlocal
quantum field theory with a fundamental length. In our setting, the Wightman generalized functions are defined ...
The Gieseker-Petri divisor in M_g for genus g<=13
Gieseker-Petri divisor M_g for genus g<=13
2011/1/21
The Gieseker-Petri locus GPg is defined as the locus insideMg consisting of curves which violate the Gieseker-Petri Theorem. It is known that GPg has always some divisorial components and it has been ...
Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
Navier–Stokes Euler Allen–Cahn vanishing viscosity limit
2011/2/21
In this paper, we study the vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn
system in a bounded domain. We first show the local existence of smooth solutions of the Euler/Allen-Cahn ...
Toda Molecule and Tomimatsu-Sato Solution $\sim$ Toward the complete proof of Nakamura's conjecture$\sim$
Toda Molecule Tomimatsu-Sato Solution $\sim$ complete proof of Nakamura's conjecture$\sim$
2011/1/18
We discuss the Nakamura’s conjecture stating that the Tomimatsu-Sato black hole solution with deformation parameter n is composed of the special solutions of the Toda molecule equation at the n-th lat...
Corrigendum for the comparison theorem in "A new definitions for a class of integro-differential equatons"
Corrigendum comparison theorem "A new definitions class of integro-differential equatons"
2011/1/21
In this note, we shall present the correction of the proofs of the compar-ison results in the paper [1]. In order to show clearly the correct way of the demonstration, we shall simplify the problem to...
Mutual information, matroids and extremal dependencies
Mutual information matroids extremal dependencies
2011/2/24
In this paper, it is shown that the rank function of a matroid can be represented by a “mutual
information function” if and only if the matroid is binary. The mutual information function
considered ...