chain theorem 中文意思是什麼
chain theorem
解釋
鏈定理-
In the third section, the asymptotic equipartition property ( aep ) of second order markov chain field on a class of tree is studied by using the analytic approach. a net is constructed on a product space, then some strong laws of large numbers of second order markov chain field are proved by using the differentiation of measure on a net. furthermore, shannon - mcmillan theorem is extended to the case of second order markov chain field
本文的第三章是用分析的方法研究一類樹上的二重馬氏鏈場的漸進均分割性，為此先構造了一個乘積空間上的網，然後利用網微分法證明了一些二重馬氏鏈場上的大數定律，並將shannon - mcmillan定理推廣到二重馬氏鏈場上。 -
The theorem of irregularity for markov chain fields on binary trees
二元樹上的無規則性定理 -
A strong limit theorem for nonehomgenous markov chain
關于非齊次馬氏鏈的一個強極限定理 -
It is proved that a homeomorphism on a compact metric space with the average - shadowing property has only one chain component which is the whole space. in particular, every point is chain recurrent. using this result it is given a short proof for a recent theorem of sakai
證明了緊致度量空間上具有平均偽軌跟蹤性質的同胚只有一個鏈分支，這個鏈分支就是全空間。特別的，每個點是鏈回歸的。利用這個結果，給出sakai新近一個定理的簡短證明。 -
The major tasks include : ( 1 ) expand the schema theorem for ga. the schema theorem with binary coding advanced by professor holland is expanded to limited integer, letter, floating point numbers the number of which value is limited, and their hybrid coding. ( 2 ) put forward replacing by the excellent chromosome ga ( recga ), superiority colony first ga ( scfga ) and improve the ga ; ( 3 ) make probability convergence analysis of recga using the theory of markov chain, random process ; ( 4 ) make convergence analysis of scfga using the principle of contractive mapping in functional analysis theory ; ( 5 ) design the test programs ( cap ) to resolve np problems ( course arrangement ) with gas ; based on recga, modify the arithmetic and then conduct tests
主要有以下幾方面工作： （ 1 ）將二進制編碼遺傳演算法的模式定理擴展到由有限整數、字母或取值個數有限的浮點數編碼，或它們混合編碼的遺傳演算法范圍； （ 2 ）提出最佳個體替換策略遺傳演算法（ recga ） 、優勢群體優先策略遺傳演算法（ scfga ） ，對遺傳演算法進行改進； （ 3 ）使用隨機過程理論markov鏈對recga進行了收斂性分析； （ 4 ）使用泛函分析理論壓縮映射原理對scfga進行了收斂性分析； （ 5 ）使用遺傳演算法設計了解決np類問題（排課問題）的測試程序（ cap ） ，並根據recga對演算法進行改進並進行測試。
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