查询词典 curvature invariant

In Chapter 1, we state some notions and results on the limit set and the attractor of Conley invariant set theory, and give some sufficent condtions for an invariant set to be a quasi-attractor.

总共分四章。第一章，简要介绍了C.Conley不变集理论中有关极限集，吸引子的概念和结果，并给出了判定不变集为拟吸引子的一些充分条件。

The well-known invariant subspace problem is A long-standing problem in operator theory,which has been to determine whether every operator $T$ on a Banach space $X$ must have a nontrivial invariant subspace.

不变子空间问题是一个尚未解决的问题， Enflo反例所给出的没有不变子空间的算子不为任何算子的共轭。

Secondly, the concept of column space, cyclic invariant subspace and generalized cyclic invariant subspace were introduced.And some basic properties, such as separation lemma, were presented.

其次，引入列空间、循环不变子空间和广义循环不变子空间等基本几何概念，给出一些有关概念的基本性质，特别是分离引理。

Thin film equations; nonlinear cross-diffusion systems; two-dimensional nonlinear reaction-diffusion equations; invariant subspace method; invariant sets

基础科学，数学，数学分析薄膜方程；非线性交错扩散方程组；二维非线性反应扩散方程；不变子空间方法；不变集

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

In this thesis,on thebasis of this generalized invariant theory,the invariant-related unitary transformation methodis developed and used to investigate the problems as follows

本论文在推广了的不变量理论的基础上，进一步发展了与不变量有关的幺正变换方法，并应用这一方法对如下问题进行了深入的研究

The mathematic process of deriving phase congruence invariant is discussed from theory, the formula of PC invariant is presented.

给出了相位叠加不变量pc的定义。

The works completed in this thesis make it clear that the invariant-related unitarytransformation method,developed on the basis of the generalized invariant theory,is a usefultool for the treatment of the time-dependent systems.

这些工作表明，在推广了的不变量理论基础上建立起来的与不变量有关的幺正变换方法是研究与时间有关问题的有力工具。

On the invariant theory,it proves that 〓-multiplier conv-ergent series have the full-invariant.

在不变性理论方面，证明了〓数乘收敛级数都具有全称不变性。

By applying the structure invariant theory in the control strategy, an equivalent structure invariant loading system is produced, which proved to be very effective in reducing the redundant force.

本文阐述了多余力产生的机理，研究了影响多余力的因素，探讨了消除多余力的途径，本文主要从控制策略方面，采用了结构不变性原理，建立模拟加载系统等效的结构不变性系统，从根本上来消除多余力的影响。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。