搜索结果: 1-15 共查到“数学 Cauchy”相关记录63条 . 查询时间(0.062 秒)
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 ...
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...
求解半空间中Helmholtz方程Cauchy问题的投影法
Helmholtz方程 Cauchy问题 投影法 正则化
2012/11/12
针对Helmholtz方程Cauchy问题提出一种数值计算方法。借助于DirichlettoNeumann映射，将Cauchy问题转化为求解散射场初值的紧算子方程。先讨论紧算子奇异值的渐近性质，然后将投影法与Tikhonov正则化方法相结合，提出一种求解相应紧算子方程的带有正则化技巧的投影法，并通过数值实验验证了算法的有效性。
求解半空间中Helmholtz方程Cauchy问题的投影法
Helmholtz方程 Cauchy问题 投影法 正则化
2012/11/13
针对Helmholtz方程Cauchy问题提出一种数值计算方法. 借助于DirichlettoNeumann映射, 将Cauchy问题转化为求解散射场初值的紧算子方程. 先讨论紧算子奇异值的渐近性质, 然后将投影法与Tikhonov正则化方法相结合, 提出一种求解相应紧算子方程的带有正则化技巧的投影法, 并通过数值实验验证了算法的有效性.
Statistically Quasi-Cauchy Sequences
Quasi-Cauchy sequences slowly oscillating sequences summability
2011/2/28
A subset E of a metric space (X, d) is totally bounded if and only if any sequence of points in E has a Cauchy subsequence. We call a sequence (xn) statistically quasi-Cauchy if st − limn!1 d(xn...
Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey
Generalized Young Cauchy--Bunyakowsky Inequalities Applications
2011/2/22
In this survey we consider generalizations for Young and Cauchy–Bunyakowsky inequalities with applications.In section 2 it is noticed that in fact there two different Young inequalities (for two numbe...
On the Cauchy problem of a two-component b-family equation
A two-component b-family equation well-posedness blow-up scenario
2011/2/25
In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato’s semigroup theory. Then, we ...
The expansions approach for solving Cauchy integral equation of the first kind
Cauchy integral equation Chebyshev polynomials
2010/9/27
In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions. These unknown functions are determine...