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I want to learn some complexity theory,mathematics theory such as Computational number theory,Algorithmic Algebra,Algebraic function fields over finite fields and the group thoery.

在这半年里,我将系统地加深学习一些必要的数学知识,比如计算复杂性理论,计算性数论算法,群论,算法的代数学等等。

The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.

这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物,体现了数学的统一性。

I believe that it's very useful for Computer science students who learning Boolean algebra and predicate logic.

我相信对于学习布尔代数学和谓词逻辑的计算机科学学生说它是非常有用的。

Rational polynomial coefficient in the Rational domain can not be the judge about substituting mathematical theorem is the most important issue.

有理系数多项式在有理数域上不可约的判定定理是代数学中的重要问题。

But the group theory is in the algebra is most ancient one of richest branches, is the modern algebra foundation.

而群论是代数学中最古老最丰富的分支之一,是近世代数的基础。

The research of these subjects has related to pure and applied mathematics such as algebra, geometry, operator perturbation theory, matrix anal-ysis, approximation theory, multivariate linear modeling, optimality principle and quantum physics etc.

对它们的研究涉及到基础数学与应用数学的许多分支,诸如代数学、几何理论、算子扰动理论、矩阵理论、逼近论、优化理论与量子物理等。

The applied mathematics in cryptography is mainly consisting of the study of prime factorization,Finite Field,Elliptic Curve and so on.

关于暗号理论中的应用数学主要是素因子的分解,hashu关数,有限体,群论,数论和代数学等等。

He returned to his native New Zealand to pursue research into the applications of geometric algebras in physics.

之后他回到故乡新西兰,致力于几何代数学在物理学中应用的研究。

George Boole develops a system of mathematics called Boolean algebra, which uses binary operations.

乔治。布尔开发采用二进位制运算的数学体系,称为布尔代数学。

In an algebra proposed by George Boole about 1850, the variables are permitted to have only two values true or false , usually written as 1 and 0, and the algebraic operations on the variables are limited to those defined as AND, OR, NOT.

George Boole 在1850年提出的代数学中,变量值只有两种:真和假,通常记为1和0,代数运算也仅局限于与、或、非。

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