For the GAs given in the article, a mathematical description is presented and theGAs' convergence properties are analyzed based on GA probability convergence theoryand Markov chain theory, and the proposed algorithms are proved to be globalconvergent.
本文对于提出的遗传算法，给出了遗传算子的数学描述，并应用遗传算法概率收敛性理论和马氏链理论对算法进行了收敛性分析，对提出的遗传算法的收敛性进行了证明。
参考来源 - 利用遗传算法实现人脸识别·2,447,543篇论文数据，部分数据来源于NoteExpress
It is shown that this algorithm ensures convergence to a global minimum with probability 1in a compact region of a weight vector space.
关于算法分析的定理证明了这种混合算法对于紧致集内的权向量构成的任意连续函数能依概率1收敛于全局极小值。
The other is the Indifference Principle of Trial Setup, with which the Theorem of Opinions' Convergence in the subjective probability theory is justified.
二是“试验机制无差别原则”，用以为主观主义概率归纳逻辑的意见收敛定理进行辩护。
The property in convergence of sequence of number was imported to convergence in probability and proved it in this paper.
主要把数列收敛的一些性质引进到随机变量依概率收敛中来，并加以证明。
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