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宁夏大学物理电气信息学院数学物理方法课件第一篇 第四章 复变函数积分Cauchy定理和Cauchy积分公式
宁夏大学物理电气信息学院 数学物理方法 课件 第一篇 第四章 复变函数积分Cauchy定理和Cauchy积分公式
2017/2/28
宁夏大学物理电气信息学院数学物理方法课件第一篇 第四章 复变函数积分Cauchy定理和Cauchy积分公式。
该文提出一种改进的基本解法,应用于薄体各向异性位势边界条件识别反问题的研究。基本解法求解反问题所产生的线性系统往往是高度病态的,我们采用截断奇异值分解方法来求解,广义交叉校验准则用来确定正则化参数。正则化方法的使用大大地拓展了源点与真实边界间距离的选取范围,同时有效地降低了解的精度对"距离选择"的敏感度。算例的数值实验表明,该文方法简单、效率高,即使薄体结构的厚度小到纳米级,仍然可获得非常高精度的...
Nonlinear Estimators and Tail Bounds for Dimension Reduction in l1 Using Cauchy Random Projections
dimension reduction l1 norm Johnson-Lindenstrauss (JL) lemma Cauchy random projections
2015/8/21
For1 dimension reduction in the l1 norm, the method of Cauchy random projections multiplies the original data matrix A ∈ Rn×D with a random matrix R ∈ RD×k (k D) whose entries are i.i.d. samples of ...
Following the steps of Spanish Mathematical Analysis:From Cauchy to Weierstrass between 1880 and 1914
Spanish Mathematical Analysis Cauchy Weierstrass 1880 and 1914
2015/3/26
Following the steps of Spanish Mathematical Analysis:From Cauchy to Weierstrass between 1880 and 1914.
Cauchy-born Rule and the Stability of Crystalline Solids:Dynamic Problems
Cauchy-born Rule the Stability Crystalline Solids Dynamic Problems
2012/8/7
We study continuum and atomistic models for the elastodynamics of crystalline
solids at zero temperature. We establish sharp criterion for the regime of validity of the
nonlinear elastic wave equati...
On uniform continuous dependence of solution of Cauchy problem on a parameter
uniform continuity equicontinuity Classical Analysis and ODEs
2012/5/9
Suppose that an $n$-dimensional Cauchy problem \frac{dx}{dt}=f(t,x,\mu) (t \in I, \mu \in M), x(t_0)=x^0 satisfies the conditions that guarantee existence, uniqueness and continuous dependence of solu...
Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE
Quantum ergodic restriction Cauchy data Interior QUE restricted QUE Analysis of PDEs
2012/5/24
We prove a quantum ergodic restriction theorem for the Cauchy data of a sequence of quantum ergodic eigenfunctions on a hypersurface $H$ of a Riemannian manifold $(M, g)$. The technique of proof is to...
Tikhonov regularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
inverse problems Helmholtz equation Tikhonov regularization error estimate
2011/10/18
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This proble...
Cauchy problem of nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2
Applied mathematics Cauchy problem nonlinear Schrodinger equation local well-posedness scaling limit
2011/10/15
In this paper, we consider in R^n the Cauchy problem for nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2. It is well known that this problem is ill posed. However, We...
Cauchy不等式及其整体性质
Lagrange恒等式 Cauchy不等式 内积空间
2011/10/10
本文初步总结了Cauchy不等式的多种形式（有限和、级数、积分形式等），给出了Cauchy不等式与内积空间里的Cauchy－Schwarz不等式的一些关系，最后论述Cauchy不等式的整体性质.
Fourier and Cauchy-Stieltjes transforms of power laws including stable distributions
Fourier transform Cauchy-Stieltjes transform stable distribution non-commutative probability Diophantine approximation
2011/9/15
Abstract: The Pareto distribution is a basic probability distribution which shows power-law behaviour and has various kinds of applications. In this paper, we introduce a class of probability measures...
A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data
large time asymptotics the Cauchy problem non-singular scattering data Analysis of PDEs
2011/8/26
Abstract: In the present paper we are concerned with the Novikov--Veselov equation at negative energy, i.e. with the $(2 + 1)$--dimensional analog of the KdV equation integrable by the method of inver...
Global Classical Solutions of the Relativistic Vlasov-Darwin System with Small Cauchy Data: the Generalized Variables Approach
Vlasov-Darwin Cauchy Problem Global Classical Solutions
2011/8/25
Abstract: We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in Comm. Ma...
The Cauchy problem for metrics with parallel spinors
Cauchy problem parallel spinors generalized Killing spinors Ricci-flat metrics
2011/7/27
Abstract: We show that in the analytic category, given a Riemannian metric $g$ on a hypersurface of a smooth manifold, and a symmetric tensor $W$ on this hypersurface, $g$ can be locally extended to a...
Photon Antibunching, Sub-Poisson Statistics and Cauchy-Bunyakovsky and Bell's Inequalities
Photon Antibunching Sub-Poisson Statistics Cauchy-Bunyakovsky Quantum Physics
2011/7/27
Abstract: We discuss some mathematical aspects of photon antibunching and sub-Poisson photon statistics. It is known that Bell's inequalities for entangled states can be reduced to the Cauchy-Bunyakov...
