查询词典 algebra

Using the theories of probability, algebra, cryptography, Information theory and "Hybrid technique" and "Reduction theory" as tools, and basing on the notion of computational indistinguishability, properties and constructions of DES-model permutations are studied in this dissertation and some useful conclusions are given.

本文综合运用概率论、代数学、密码学、信息论等相关学科的知识及"混合技巧"和"归约论证"思想，以计算不可分辨性为基础，研究了DES型置换的性质和构造，得到较为实用的结果。

We introduced the topology induced by ideals of effect algebra, named ideal topology, and we show that the operations are continuous with respect to the ideal topology.

最近研究表明，这是效应代数上的一个具有良好性质的拓扑结构。

Second part is the induction of the method of number shape union usage in solving algebra problems.

第二部分为归纳数形结合在代数解题中的方法。

According to the characteristic of tight correlation between memory overrun and loop induction variable arithmetic,extended algebra for chains of recurrences is combined with detection methods based on symbolic execution,for the first time,to design defect detection guide information as to multi-loop,while locality characteristic of software updates and their impact is used.

针对内存访问越界缺陷与循环归纳变量运算紧密关联的特点，首次将递推链扩展代数与符号执行类缺陷检测方法相结合，设计了面向多重循环的缺陷检测指导信息，同时利用软件更新影响的局部性特点，实现了基于路径指导的定向检测和基于更新影响的增量检测。

In Chapter 1, assuming that the coefficient field κ is perfect and the order of the inertia group is coprime to the characteristic of κ, we prove the existence and the uniqueness of the hyperfocal subalgebra of a source algebra.

在第一章中，假设系数域是完全的；在惯性群的阶与系数域的特征互素的情况下，我们证明了源代数的超聚焦子代数的存在性与唯一性。

The research of this thesis focuses on spectral complements of operator matrices, the Moore-Penrose inverse and Drazin inverse of projections in a C~*-algebra, Weyl theorem and infimum and generalized infimum of quantum effects on a Hilbert space.

本文研究内容涉及Hilbert空间中算子矩阵的谱补、C~*代数上投影算子的Drazin逆及Moore-Penrose逆、Banach空间上算子的Browder定理和Weyl定理、Hilbert空间中量子效应的下确界和广义下确界四个方面的内容。

In recent years, the theory of infinite dimensional simple Lie algebra has become an important branch in Lie theory.

近年来无限维单李代数的结构理论以及表示理论已经成为李代数研究中的重要分支，无限维单李代数的构造，自同构群的确定，同构分类，二上同调群的计。。。

He is well received by the students and their parents.The fields that Mr he is studying on now are having a hit on the GRE words and the standard American English listening ability,as well as maths including infinitesimal calculus,linear algebra and probability theory and their application in economics.

现在何老师学习和研究的方向是英语要突破 GRE 词汇和标准美语听力，数学是微积分，线性代数和概率论与数理统计及其在经济中的运用。

The generalized Jordan derivable mappings at zero point on von Neumann algebra are the sum of an inner derivation and identical mapping produced at a fixed operator,and the similar result is obtained on B.

受此启发，在本文中引入了零点广义Jordan可导映射的概念，并在此基础上对von Neumann代数上的

In chapter 3, Jordan derivations and Jordan isomorphisms of nest algebras are investigated. It is proved that every Jordan derivation of nest algebra is an inner derivation. Every Jordan isomorphism between nest algebras is either an isomorphism or an anti-isomorphism. Finally, a norm estimate for derivations of nest subalgebras of von Neumann algebras is given, and it is shown that every nest subalgebra of factor von Neumann algebras has property AIP .

第三章研究了套代数上的Jordan导子和Jordan同构，证明了套代数上的每一个Jordan导子都是内导子；套代数之间的每一个Jordan同构要么是同构要么是反同构；最后给出了因子von Neumann代数中套子代数上导子的一个范数估计，同时也证明了因子von Neumann代数中的任何一个套子代数都具有AIP性质。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。