证明性的

It is showed that the loop space functor and the suspension functor preserve the properties of homotopy regular.

摘要证明了闭路函子和同纬函子保持同伦正则性，同时构造出了一系列同伦等价的空间。

Under γ-condition, the convergence and error estimation were given by majorant sequence.

利用优序列技巧，在γ-条件下，证明了该迭代格式的收敛性，并给出了误差估计。

Based on the theorem of Markov chain, the global convergence of the new algorithm is proved.

基于抗体群的随机状态转移过程，证明该算法具有全局收敛性。

We have proved the convergecy of the new algorithm by using Markov chain theory.

应用马尔克夫链理论证明了新算法的收敛性。

The global convergence of the algorithm is proved using the theorem of Markov chain.

基于种群的随机状态转移过程，证明了新算法具有全局收敛性。

Finally, we demonstrate the global convergence of this hybrid algorithm by applying the theory of Markov chain.

最后，利用马尔可夫链理论证明了混合算法的全局收敛性，并进行了实例研究。

Its global convergence is proved by analyzing the Markov process of the ant colony system.

通过对蚁群系统马尔科夫过程进行分析，证明了该算法的全局收敛性。

In this paper, it is proved the complete convergence of series of dependent random variables by making a convergent martingale.

本文通过构造收敛鞅，证明了相依随机变量序列的完全收敛性。

It is showed that the matrix mechanics and the wave mechanics are equivalent in phase space.

证明了矩阵力学和波动力学在量子相空间表象中的等价性。

Experimental results show MCH algorithm is robust, efficient, and versatile, quite suitable for large-scale problem, especially with large number of pins.

应用进化蚁群算法求解旅行商问题和多货物网络流问题，仿真结果证明了该算法的高效性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。