查询词典 finitely generated algebra

Advanced mathematics is one of the most important foundation lessons in each univercity, its content of course includes the calculus,the space analytic geometry and the vector algebra step,etc..

摘 要：高等数学是各大高校最重要的基础课之一，其教学内容包含微积分、空间解析几何与向量代数初步、场论初步等等。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

Therefore, it took a long period for calculus, analytical geometry and algebra to take root in China.

对晚清数学家来说，面临着新的机遇，同时存在着巨大的挑战和困惑。

When solving the problems of analytical geometry ,we commonly transfer it into algebra form and then solve it .

解有关解析几何的题目，一般都是转化为代数的形式，然后再进行解答。

The author also makes a distinction between the role of algebra in analytical geometry and that in Descartes'Geometry.

澄清了以往认为代数在解析几何中的作用与在笛卡儿《几何学》中的作用相一致的观点。

It is an important step of the transition for Chinese mathematicians to study and to use the translations of western mathematical textbooks on calculus, analytical geometry, algebra, and probability, such as DWJ, Wei Ji Su Yuan, Jue Yi Shu Xue.

研究晚清中算家对微积分的学习情况、理解程度以及应用能力，无疑对于研究中国数学的近代化历程具有十分重要的意义。

English Description It aim at: developing comprehension of algebra, trigonometry, analytical geometry, derivation and integral, activating capabilities of logic inference and induction, enlightening confidence and independence, strengthening calculating abilities with an emphasis on its application and graph, furnishing a sound basis for future specialty.

Chinese Description 本课程希望在二学年中，能使学生对代数、三角、解析几何、微分及积分有充分的了解、培养逻辑推理、启发思考创造、强化计算演绎并注重应用与作图，以建立同学未来学习工程数学及相关专业课程之数学基础，充分达到学以致用的目的。

Linear algebra (2) studies the structure, including the inner product, angle, and projection, of the Euclidean space .

线性代数介绍欧几里德空间的结构，包括内积、角度、投影等。

For instance we read in the historian Halle:"This Araby worde Algebra sygnifyeth as well fractures of bones as sometime the restauration of the same."

例如我们读到的历史学家哈雷："这阿拉worde代数sygnifyeth以及骨折的骨骼恢复某个相同的。"

By means of uniting geometry with algebra, the arc length, tangent line, cotangent space and curvature of curve in four dimensional space are investigated, and the corresponding calculation formula in each cases are given.

用形数结合的观点研究了四维空间中曲线的弧长、切线、法空间和曲率问题，并给出了其计算公式。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。