无穷维

我们将致力于证明任何无穷维赋范空间的球面皆为可逆

We shall prove that the sphere of any infinite-dimensional normed space is invertible .

约束条件为无穷维分布参数系统的N微分目标规划问题

N - objective programming of infinite - dimensional systems

李代数An和无穷维李代数An的相因子的确定

The Determination of the Cocycle Factors of Li Algebra A n and Infinite Dimension Li Algebra n

采用MATLAB编程进行仿真实验，利用基于混沌理论的无穷维伪随机数发生方法产生了若干随机序列。

In the simulation experiments , a number of random sequences are generated using matlab programming .

无穷维向量极值问题的最优性条件和向量值Lagrange对偶

The Optimality Conditions and Vector-Valued Lagrange Duality of the Infinite Dimensional Vector Extremum Problems

在无穷维流形的研究中，要用到Banach空间中的微分与积分，即Banach空间中的非线性分析。

The Calculus in Banach spaces is necessary for studying manifold of infinite dimension .

到无穷维Hilbert李群的映射

The Maps into Infinite Dimensional Hilbert Lie Group

一族发展方程的无穷维Hamilton结构

Infinite Hamilton structure of an evolution equation hierarchy

此外，我们将PD控制和模糊PID控制这两种方法推广到无穷维空间，并进一步运用到被试验的压电梁中。

In addition , we expand PD control and fuzzy-PID control to infinite-dimensional , and apply them to the tested piezoelectric beam .

利用哈密顿仿射输入系统的特殊结构和性质，将非线性H∞控制设计推广到无穷维情形。

By taking advantage of the special structure and properties of Hamiltonian Affine Input Systems , nonlinear H_ ∞ design can be extended to the infinite dimensions .

通过有限差分将无穷维的SineGordon型系统近似为有限维系统。

Finite difference method is used to approximate the infinite Sine Gordon system to finite dynamic system .

无穷维Morse理论的一个注记及应用

A Remark and Application on Infinitely Dimensional Morse Theory

多重R－H法及二重Ernst方程解空间的无穷维对称Virasoro群

Multiple R-H Method and the infinite - Dimensional Virasoro Group on the Solution Space of the Double Ernst Equation

无穷维KAM理论在偏微分方程中的应用

Applications of Infinite Dimensional KAM Theory to Partial Differential Equations

本文依据半无穷维二次优化技术提出了一个设计平坦响应空域滤波器（SF）的新方法。

A new method for the design of spatial filters having flat response based on the semi-infinite optimization techniques is presented .

本论文的主要目的就是寻找尽可能理想的有限矩阵算子逼近无穷维空间上的SL算子。

The main purpose of this thesis is to find finite matrices to approximate SL operators as accurate as possible .

连续时滞混沌系统是无穷维系统，这样的系统可产生具有多个正的Lyapunov指数的超混沌现象，因此系统可产生复杂的时间序列。

Continuous time delay chaotic system is the infinite dimensional system which can produce several positive Lyapunov exponents , so such system can produce complex time sequences .

本文旨在用无穷维矩阵把Banach空间B[I~P，co]中的等距算子和几乎等距算子表示出来。

The main purpose of this paper is to represent the isometrical operator and almost isometrical operator in Banach space B [ 1 ~ P , c_o ] by matrix with infinite dimensional .

本文证明了可分无穷维Hilbert空间上每个有界线性算子均可写成两个强不可约算子之和。

In this paper , we prove that every operator on a separable , infinite dimensional Hilbert space is the sum of two strongly irreducible operators .

特征0无穷维单Novikov代数的模

Modules over infinite dimensional simple Novikov algebra of characteristic 0

证明了在无穷维Morse理论中光滑能量泛函的更弱结果，并且给出了在微分方程中的应用。

We point out that smoothness energy function in infinite dimension Morse theory can be weakened and give an application to differential equation .

本文我们引进了无穷维Banach空间中的一种新的集合序列收敛性概念，讨论了它与其它收敛性概念的关系。

A new notion of convergence of sequence of sets in infinite Banach spaces is introduced . The relationship between the new with other notions of convergence is discussed .

具有Virasoro型的无穷维对称代数的群不变模型

Invariant Models with the Infinitely Dimensional Virasoro-type symmetry Algebra

关于无穷维M（？）bius变换

On M (?) bius Transformations in Infinite Dimension

利用了无穷维动力系统吸引集和吸引子概念以及挤压性质，证明了两个相同的二维Navier-Stokes方程在高频耦合条件下可达到完全同步化。

By using the concepts of absorbing sets , attractor and squeezing properties , the occurrence of complete synchronization of two high frequency coupled 2D Navier-Stokes equations is proved .

该文基于半无穷维二次优化（SIQO）技术给出一个设计FIR数字滤波器的新方法。

This paper proposes a new method for the design of FIR filter by using semi infinite quadratic optimization ( SIQO ) techniques .

bius变换关于通弦度量的几个不等式推广到无穷维。

At last we generalise some of the inequalities about the chordal metric to the case of infinite dimension .

利用Galerkin逼近方法，将有限维结果推广到无穷维，在发展三元组框架下，证明了在无穷维空间半线性发展包含周期解的存在性定理。

Using Galerkin approximation , we extend the finite dimensional results to infinite dimensional space . Under the framework of evolution triple of spaces , we proved the existence theorem of semi-linear evolution inclusion .

本文研究了取值在无穷维Hilbert空间中的向量值的Poisson－Jensen－Nevanlinna公式、向量值的Nevanlinna第一基本定理、△logf（ξ）的表示及T（r，f）的性质。

Vector-valued Poisson-Jensen-Nevanlinna formula , Nevanlinna 's first fundamental theorem , representation of △ log | | f (ξ) | | , properties of T ( r , f ) are presented with range in an infinite dimensional Hilbert space .

无穷维Frechet空间（s）空间上的等距逼近问题也是肯定的。

The approximation problems of isometric operators between finite dimensional Frechet spaces , or between infinite dimensional Frechet space ( s ) are affirmative .