泛函分析

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

The zero dynamics were divided into several types, and the relations between the zero dynamics of general nonlinear system and that of its adjoint system norm were discussed by using functional analysis.

佘焱将零动态分为几种类型，运用泛函分析等工具，研究了一般非线性系统与其作为仿射非线性系统的伴随系统的零动态之间的关系。

It is pointed out that the classical Lagrange multiplier method is one of the theoretical fundament of the adjoint method in data assimilation.

论述了数据同化中的伴随方法与泛函分析中的伴随算子的关系，指出经典的拉格朗日乘子法可以作为伴随方法的理论基础。

Basic Mathematics has undergone an amazing evolution and born fruit on fields such as algebra, functional analysis, dynamic system, algebraic number theory and differential geometry.

基础数学的研究经过多年工作积累，在代数学、泛函分析、动力系统，代数数论，微分几何等领域在国内外有一定影响。

The linear system optimum control theory distributes one of parameter systembasic topics,in domains and so on aerospace,national defense,finance,communicationhas the widespread application prospect.simultaneously, because the research tech-nique involves to foundation mathematics theories and so on the functional analysis,analysis situs,geometry, algebra.

线性系统的最优控制理论是分布参数系统的基本课题之一，在航空航天、国防、金融、通讯等领域有着广泛的应用前景。同时，由于研究手法涉及到泛函分析、拓扑学、几何学、代数学等基础数学理论。

In this chapter, the existence and uniqueness of the solution to the scheme, the convergence and stability to the scheme are proved by using discrete functional analysis theory, the apriority estimate method and the Brouwer fixed-point theory.

在本章中，运用离散泛函分析理论，结合先验估计、Brouwer不动点原理证明了相应差分格式解的存在唯一性、收敛性和稳定性。

Assignment of infinite many poles for the first order generalized distributed parameter control system, coupled with the first order generalized lumped parameter control system, is discussed in Hilbert space with functional analysis and operator theory. The solutions with the constructive expression are given by the generalized inverse one of bounded linear operator.

应用泛函分析算子理论的方法，讨论了Hilbert空间中一阶广义分布参数控制系统与一阶广义集中参数控制系统所构成的一阶耦合广义控制系统的无限多极点配置问题，利用有界线性算子的广义逆给出了问题的解及解的构造性表达式。

This paper mainly further studies several focus problems of nonlinear functional analysis in finitely continuous topological spaces (in short, FC-spaces) without any convexity and linear structure, unites and generalizes some known results in recent literature.

本文主要对非线性泛函分析中的几个热点问题在不具有任何线性结构和凸性结构的有限连续空间中作了进一步的分析和研究，对已有的结果进行了统一和推广。

We take the nonlinear Klein-Gordonequation in an infinite strap and in a cylinder as examples to illustrate how to deal withnonlinear problems by using Jacobi pseudospectral methods.

Jacobi谱方法和拟谱方法数值分析理论的研究极大地丰富了现有谱方法的理论基础，同时将发展泛函分析、数值逼近论和偏微分方程数值解的相关理论。

In recent years, many continuity characteristics of generalized inverses under small perturbations of operators in B are presented and their applications to non-linear functional analysis and global analysis are given.

近年来，许多这样的特徵被提出，并在非线泛函分析和大范围分析的基础理论方面获得重要的应用。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。