English translation for "algebraic topology"

代数的位相几何
代数拓扑基础
代数拓扑学
代数拓朴

Related Translations:

topology foreground:  拓扑前台

algebraic code:  代数码

algebraic congruence:  代数同余式； 代数线汇

algebraic root:  代数根

algebraic sum:  代数和

algebraic notation:  代数标记法代数记数法

algebraic notations:  代数记谱法

algebraic number:  代数数代数值

algebraic quantity:  代数元(素)

algebraic manifold:  代数流形

Example Sentences:

	1.	Indeed, readers familiar with the fundamentals of algebraic topology can easily prove the correctness of this presentation . 事实上，熟悉代数拓扑基本原理的读者容易证明这个表示的正确性。
	2.	The notion of fundamental group also came from topology . there are close relations with simple connectedness in representation theory of algebras for fundamental group , as was in algebraic topology 基本群的概念同样来自拓扑学，同它在代数拓扑中一样，它在表示论中与单连通性也有密切的联系。
	3.	Abstract : in this paper we servey some recent trands of applications of the method of algebraic topology to simple graphs . some fundamental concepts are introduced with theorems . several new problems are proposed 文摘:我们从组合拓扑方法在图论的应用中,着重介绍与图有关的几种复形的近期研究动态,论述其中一些带基础性的问题,并提出一些可供研究的新问题
	4.	To completely avoid producing elements jointed at their corner nodes and checkerboard patterns , which frequently occur when the topology optimization of plane continuum is studied , the theory of topology analysis of plane continuum in topology optimization process and the simple algorithm for programming are studied . according to algebraic topology theory , the boundary of elements and plane continuum are operated as a one - dimensional complex . by use of the adjacency vector in graph theory , the structural topology is described and the topological operation is achieved on a computer . by above , the structural topological feature in the evolutionary process is gained . these methods are effcient and reliable . under topology constraints , according to the results of stress analysis , by deleting elements and moving nodes at the boundary , more satisfactory results can be gained by using a few numbers of elements and iterations . to demonstrate the efficiency of these methods , solutions including some well - known classical problems are presented 避免目前平面连续体结构拓扑优化过程中经常出现的单元铰接以及“棋盘格”等现象，研究了连续体结构拓扑优化过程的拓扑分析方法，以及在计算机上实现的简便算法.根据代数拓扑理论，单元及连续体的边界作为1 -复形进行运算.利用图论中的邻接向量概念，在计算机上实现了结构的拓扑描述及拓扑运算，得到了结构在拓扑演化过程中的拓扑特性，方法简单、可靠.在一定的拓扑约束下，根据应力分析结果，采用删除单元、单元退化、移动节点等方法，可以用较少单元得到更为满意的结果，提高计算效率.为演示方法的有效性，给出几个包括常见经典问题的解答

Similar Words：

"algebraic sum" English translation, "algebraic surface" English translation, "algebraic surfaces" English translation, "algebraic system" English translation, "algebraic term" English translation, "algebraic torus" English translation, "algebraic transformation" English translation, "algebraic translator" English translation, "algebraic value" English translation, "algebraic varieties of higher dimension" English translation