查询词典 birational invariant

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。

In this paper, we have used the theory of moment invariant to identify the orbit, constructed feature vector based on moment invariant, defined the distance between the two feature vectors, and proposed a new method of the identification, which ...

仿真与实验结果表明，该方法可以有效地识别常见的轴心轨迹，并收到了良好的效果

When scalar Lyapunov function is Lipschitz continuous and regular, Matrosov theorems with respect to a closed invariant set of a class of nonlinear discontinuous systems are proposed firstly and finally, the problem of finite-time stability with respect to a closed invariant set is considered.

论文最后主要讨论脉冲系统、奇异脉冲系统、线性不确定脉冲系统、不确定脉冲系统指定衰减度以及非线性脉冲系统的奇异H∞控制问题。

The equations of electromagnetic field are invariant with respect to the Lorentz transformation and the mechanical equations are invariant with respect to the classical transformation.

电磁场方程对于洛伦兹转换是不变的，而力学方程对于经典转换是不变的。

There are two main analysis techniques of Petri nets, one of which is invariant method. The invariant method is a linear algebraic analysis based on the matrix representation of Petri nets.

Petri网的分析方法有二种：可达树和不变量分析方法，其中，不变量分析方法是一种将矩阵描述应用于Petri网的线性代数分析方法。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。