等价

It's really the natural setting for algebraic topology because the traditional algebraic invariants (fundamental group, homolog group,etc.) arc isomorphic not only for homeomorphic spaces but for spaces of the same homotopy type. Homtopy epimorphisms and monomorphisms are special morphisms in the category of topological spaces and the initial research of them may be traceable to S.T.

同伦论的本质是利用比同胚关系更广泛的等价关系—同伦关系来对拓扑空间进行研究，这也是代数拓扑研究中一种自然的考虑，因为传统的代数不变量不仅在同胚的空间之间保持同构，而且在具有相同伦型的空间之间也保持同构。

The appliance of polynomial symbolic algebraic in formal verification ,people have given two polynamial denotative module WGLs and TEDs,and gives the corresponding equivalence checking algorithms .

关于多项式符号代数理论在形式化验证方面的研究，人们给出了WGLs和TEDs两个多项式表示模型，并给出了相应的等价性验证算法。

For the sake of getting more economic or effective controllers, a mapping law is proposed that the sub-systems in a space are mapped algebraic equally into another space to reduce differences by optimal theory. No any restrictions are added to the controlled systems, and without need to solve coupled Lyapunove or Riccati equalities.

2考虑了各子系统之间的层次差异，提出了变换规则，通过代数等价变换将各子系统映射到另一空间，借助优化理论，消除各子系统之间的差异，从而获得更经济、更有效的控制器。

In interior-point methods, different trajectories to the optimal set are formed from different algebraically equivalent paths.

在内点法中，采用不同的代数等价路径形成了通向最优解的不同轨迹。

The first is based on the algebraically equivalent transformation to the standard centering equation xs=μe.

首先通过对中心化方程xs=μe实施代数等价变换，得到了新的不同的摄动方程组。

The money can be built on 18 Beijing-Shanghai high-speed railway, but also the equivalent of almost 344 Buffett assets combined.

这些钱可以建在18日北京到上海的高速铁路，而且几乎344巴菲特总资产等价的。

Forecasting crack and it's distribution mode is almost equivalent to forecasting oil and gas, so it is important to correctly understand underground crack in exploratory development.

可以说对裂缝及其分布规律的预测几乎等价于对油气的预测，所以对地下裂缝的正确认识对油气的勘探开发具有重要的意义。

W* Alphabetic first character, additional characters can be alphanumeric almost equivalent to the set of valid Python identifiers

第一个字符是字母，其余字符，是字母或数字它几乎等价于Python语言中合法的标识符

We also study alternating group A_5 actions on the homotopy S~2×S~2 in this chapter.

本章还研究了同伦等价于S~2×S~2的Spin 4-流形上的交错群A_5作用。

Analytic functions of complex variable function is the main object of study, and the five equivalent conditions of analytic functions penetrate the whole process of learning of complex function.

解析函数是复变函数论主要的研究对象，而解析函数的五个等价条件又贯穿了我们对复变函数论学习的全过程。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。