例句與造句

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(shù)定律中，用首創(chuàng)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于信息論中shannon - mcmillan定理和連續(xù)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，并利用這個概念研究任意信源二元函數(shù)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. It's difficult to find applied probability theory in a sentence. 用applied probability theory造句挺難的