代数学的

This article listed the main clue of the development of mathematics in the sixteenth and seventeenth century. Based on that, we analyzed the algebraic basis of calculus. The basis had an algorithmic character which could use program to calculate.

本文在列出十六、十七世纪代数学发展主线的基础上，分析了微积分产生的代数学基础，这个基础本身带有强烈的程序化的算法特征。

It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics.

这基于在赖斯大学在计算的代数学的几何学方面在过去5 年中在一个大的跨学科的计划里给的课程，包括数学，计算机科学，biomathematics和生物信息科学。

It is written as a book of "impressions" of a journey through the theory of complex algebraic curves.

它被作为对一次旅行的"印象"的书通过复杂的代数学的曲线的理论写。

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

Matrix is an important mathematical concept,which is among the major research fields of Algebra study . Diagonalization of the matrix is the key content of Matrix Theory.

矩阵是数学中的一个重要的基本概念，是代数学的一个主要研究对象，而矩阵的对角化是矩阵论中的一个重点内容。

Topics covered include: programming and computability theory based on a term-rewriting,"substitution" model of computation by Scheme programs with side-effects; computation as algebraic manipulation: Scheme evaluation as algebraic manipulation and term rewriting theory; paradoxes from self-application and introduction to formal programming semantics; undecidability of the Halting Problem for Scheme; properties of recursively enumerable sets, leading to Incompleteness Theorems for Scheme equivalences; logic for program specification and verification; and Hilbert's Tenth Problem.

其所包含的主题：程序和运算理论是基于根据算数和具有一些副作用的计划纲要的条款重写和"代入"模式之上的、关于代数学计算的算数：关于代数学计算和术语重写理论的评价方案作计划、应用程序自己和说明的自相矛盾到形式上的程序语义、关于计划Halting 问题的不可判定性、可递归可列举集合的属性、导致对于等同计划的不完整规则、对于逻辑和证明程序的规范和Hilbert的第十问题。

Nor are the rules of algebra governed by social conventions: a gawky 14-year-old who clams up in interviews can still do well.

社会习俗也绝然不能支配代数学的规律：一名在面试中沉默笨拙的14岁小孩仍然能够在这方面做的很好。

The main contents are modules on rings,representations of groups and character theory, categories, and homological algebra.

它为数学系各方向的研究生，提供基本的现代代数学的思想、方法、和工具。

But , when we changeour trainofthought , we can find that sometimes using mathematical Analysis is a better solution to the linear algebraic problems.In thispaper, use the propertyofcontinuous function andimproper integralof infinite interval and to solve some matrix and quadratic form problems.Algebraic ideas andmethodstosolvemathematical analysisproblems are indicated by several specific examples. Close contactof differentmathematical analysis fields is shown.

该文探讨运用数学分析的有关知识（如：函数连续性、无穷区间的广义积分）和方法解决高等代数中的某些复杂、繁琐的问题；通过具体的实例，阐述高等代数的思想和方法在解决数学分析问题中的作用，揭示不同的数学领域之间的密切联系，例如：二次型与正交变换是代数学的基本内容，其用途十分广泛，而重积分的计算往往存在技术性的困难，若利用"二次型"与"正交变换"的有关理论去解决某些重积分的计算问题是颇有功效的。

Mr Derbyshire, whose bookhas just been published in Britain after appearing in America last year, givesan intriguing account of these developments, and of the mathematiciansinvolved, such as George Boole, who "married algebra to logic" by inventingalgebraic ways to express logical arguments: he led an almost saintly life, butdied after his wife treated him for a chill by dousing him in buckets of icywater.

德比夏尔的这本书去年在美国出版，紧接着现在又在英国上市。书中对代数学的发展和历史上的数学家做了生动有趣的描述。例如乔治·布尔，他把&代数嫁给了逻辑&，用代数的方式表达逻辑参数。乔治·布尔一生圣洁，但是却死于他妻子淋头而下的冰水所致的风寒。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。