shannon theorem 中文意思是什麼
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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 strong deviation theorems are new type theorems established by using the notion of the likelihood ratio. professor liu wen frist applied an analysis method in solving a class of strong deviation theorems for a sequense of random variables. later professor liu wen studied the shannon - mcmillan theorem in information theorems [ 2 ] - [ 8 ] and deviation theorems of non - negative continuous random variables [ 10 ] - [ 11 ] by using the analytic technique and obtained some strong deviation theorems. the chapter 2 of the paper studied a class of strong deviation theorems of function of two variables of information sources and obtained a further study of shannon - mcmillan theorem of markov information sourses by definning the using concept of entropy density divergence. the chapter 3 of the paper studied a class of strong deviation theorems of non - negative continuous random variables by using tool of transformation of laplace. information theory, as a branch of applied probability theory, becomes more and more important in appling
劉文教授在解決大數定律中，用首創的分析方法得到一類隨機變量序列的強偏差定理。后來，劉文教授把分析方法用於信息論中shannon - mcmillan定理和連續型隨機變量的偏差定理的研究，得到了若干強偏差定理。本文的第二章是引進任意信源相對熵密度偏差的概念，並利用這個概念研究任意信源二元函數的一類強偏差定理，得到了馬氏信源shannon - mcmillan定理的一個推廣。 -
Turbo code, which utilizes the condition of random coding and decoding of shannon noisy channel coding theorem, has obtained the performance near to shannon theoretic limit. the performance of turbo code is the best one in all presented coding methods
Turbo碼由於很好地應用了shannon有噪通道編碼定理中的隨機性編譯碼條件而獲得了接近shannon理論極限的譯碼性能。 -
Then, a new adaptive, on - line, fast samplingstrategy - multi - scaling sampling - is presented inspired by mra multi - resolution analysis and shannon sampling theorem, for quicklyobtaining acceptably approximate association rules at appropriate samplesize. both theoretical analysis and empirical study have showed that thesampling strategy can achieve a very good speed - accuracy trade - off
但是，取樣策略必須在演算法的效率和結果的精確性之間進行很好的折中， 「如何確定合適的樣本大小使得運行於其上的關聯規則挖掘滿足精確性的要求取樣復雜性」成為這一方法的關鍵難解問題。
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