divergence theorem 中文意思是什麼

divergence theorem 解釋
高斯公式
  • divergence : n. 1. 分歧，分岔，分出 （opp. convergence）。2. 【生物學】趨異 （opp. convergence）; 【心理學】離散；【數、物】散度，開度；發散。3. 離題。
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  1. 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。
  2. Existence and uniqueness are proved by lax - milgram theorem for a type of degenerate divergence elliptic equation in a type of sobolev spaces with weight, and also the regularity will be studied

    先用lax - milgram定理證明一類退化散度型橢圓型方程在帶權sobolev空間中弱解的存在唯一性，然後證明解的正則性。
  3. Critical theorem of the convergence and divergence of series and sequences

    數列與級數斂散性判定定理
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