代数

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。

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。

The stochastic one can get one low degree annihilator quickly.

其次研究了代数免疫最优布尔函数的构造。

Giving the notion of the antipode, we propose the definition of the Hopf algebroid.

然后通过定义对极来提出Hopf代数胚的概念。

Then in [2], [3], [4] and [5], the authors have discussed the structures of twisted Hopf algebras and bitwisted Hopf algebras and studied some properties of their antipodes, and so on.

在文献[2]、[3]、[4]和[5]中，作者分别研究了扭Hopf代数和双扭Hopf代数的结构和反极元的性质等。

An analysis on Ming Antu's three recurrence formulae of establishing these numbers is given, two of which have not been revealed to the modern maths field up till now.

分析了明安图建立这些卡塔兰数所用的三个递推公式，其中的两个公式直到现在还没有被现代数学界认识。

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

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。"

They go to town. Would you just ask them?

他们在城里你能问他们吗？

Ossein pretreated for a2 weeks period exhibited the maximum% yield incase of bone gelatin, while the yield from intact skin was higher than that realized incase of de-scaled skin.

预处理时间达2星期的骨胶原表现出最高的骨明胶百分产量，然而从未处理鱼皮中得到的产率比去鳞的鱼皮得到的要高。