differentiation theorem 中文意思是什麼

differentiation theorem 解釋
微分定理
  • differentiation : n. 1. 差別，區別；區分，劃分。2. 【生物學】分化，變異。3. 【地質學；地理學】（從共同的巖漿產生出不同的巖石的）分異作用。4. 【數學】微分法。
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  1. 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。
  2. Professor liu wen, who first invented analysis method in solving large number theorem, connected it with moment generating functions, conditional moment generating functions and differentiation of measures on a net, and some strong limit theorems are obtained. this paper continue to study and expand these results

    劉文教授在解決大數定律中把首創的分析方法和矩母函數、條件矩母函數以及測度的網微分法結合起來，得出一系列極限結果，本論文繼續並拓廣這方面的研究。
  3. A strong deviation theorem of multivariate function sequences of arbitrary random variables is obtained by using moment generating functions and differentiation of measures on a net. and a strong deviation theorem of discrete information sources is obtained

    本論文利用母函數和網微分法得到任意隨機變量多元函數序列的強偏差定理；及一個對離散信源普遍成立的強偏差定理。
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