algebraic topology中文是什么意思

• 代数的位相几何
• 代数拓扑基础
• 代数拓扑学
• 代数拓朴

• "algebraic"中文翻译    adj. 代数的，代数学(上)的。 adv. -ical ...
• "topology"中文翻译    n. 地学志；【数学】拓扑学；拓扑(结构)；【解剖学】局 ...
• "topology" 中文翻译 :    n. 地学志；【数学】拓扑学；拓扑(结构)；【解剖学】局部解剖学。 adj. -ical
• "algebraic" 中文翻译 :    adj. 代数的，代数学(上)的。 adv. -ically 代数学上。
• "analytical topology" 中文翻译 :    分析拓扑学
• "base (topology)" 中文翻译 :    基 (拓)
• "bornological topology" 中文翻译 :    有界型拓扑学
• "boundary (topology)" 中文翻译 :    边界 (拓扑学)
• "broadcast topology" 中文翻译 :    广播拓扑
• "bus topology" 中文翻译 :    汇流排拓扑; 总线从设备; 总线拓扑结构
• "centralized topology" 中文翻译 :    集中式拓扑结构
• "character topology" 中文翻译 :    字符结构; 字符拓扑结构
• "chemical topology" 中文翻译 :    化学拓扑学
• "closed topology" 中文翻译 :    闭合结构; 闭合拓扑
• "clusters topology" 中文翻译 :    群集拓扑学
• "coherent topology" 中文翻译 :    凝聚拓扑
• "coinduced topology" 中文翻译 :    余导出拓扑
• "combinatorial topology" 中文翻译 :    组合拓扑学; 组合拓朴学
• "combinatory topology" 中文翻译 :    组合拓朴学
• "comparable topology" 中文翻译 :    可比拓扑
• "compatible topology" 中文翻译 :    相容拓扑学
• "complementary to topology" 中文翻译 :    拓朴学补充
• "computational topology" 中文翻译 :    计算形势几何学
• "continuous topology" 中文翻译 :    连续拓扑学
• "counterexamples in topology" 中文翻译 :    拓扑学中的反例

• 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。
• 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。
• 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
• 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

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• algebraic topologyとは意味代数的位相幾何学｛だいすう てき いそう きかがく｝