查询词典 algebra

This paper tries to discuss the probability, conditional probability and conditional expectation on MV-algebra of fuzzy sets.

为此，本文试图建立一套较完备的关于MV-代数中的概率、条件概率和条件期望的理论体系。

Is proved to be a residuated lattice. In the second chapter, the concept of congruence relation on a residuated lattice is introduced. It is proved that the quotient algebra of a residuated lattice about the congruence relation is still a residuated lattice. Then as a generalization of the congruence relation, the concept of fuzzy congruence relation is brought in.

本文的第二章首先定义了剩余格上的同余关系，证明了剩余格中的滤子对应一个同余关系，并由该同余关系确定的商代数仍是剩余格；然后将同余关系自然推广，定义了Fuzzy同余关系，证明了Fuzzy同余关系与Fuzzy滤子是一一对应的。

As an important content in mathematics, Conjugation can be studied and discussed from different aspects such as differential coefficient, algebra, geometry and so on.

摘要共轭是数学中一个重要的内容，讨论也有不同的方法，可以用微分、代数、几何等方法。

algebra was developed in the 19th century, initially focusing on what is now called Galois theory , and on constructibility issues.

抽象代数是在19世纪，最初把重点放在什么是现在被称为伽罗瓦理论，以及关于constructibility问题。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

For convenience of the reader, pertinent results from linear algebra and convex analysis are summarized in Chapter two.

为方便读者，在第二章中总结了相关的线性代数和凸分析知识。

Following the introductory first chapter and the second chapter on linear algebra and convex analysis, the book is organized into two parts: linear programming and networks flows.

在第一章简介和第二章线性代数和凸分析之后，本书分为两部分：线性规划和网络流。

As the foundation of algebra, this course also offers indispensable preparation for subsequent core curriculum and sample curriculum such as differential equations, numerical calculation, functional analysis, probability theory and multivariate analysis, etc.

它不仅是代数学的基础，而且为微分方程，数值计算，泛函分析，概率论，多元分析等后继的基础课及选修课程提供了必要的

By the coset method of Lie algebra, we studied the problem of quantization of the nonintegrable systems.

本论文运用李代数陪集方法来研究不可积体系的量子化问题。

From linear algebra a normal vector of a plane can be obtained by proceeding a cross product between two vectors of this plane.

从线性代数一个可进行一两个向量的这架飞机获得的产品平面交叉法向量。

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。