劉元方 的英文怎麼說
中文拼音 [liúyuánfāng]
劉元方
英文
liu yuanfang-
Zou juan ren chun li tiejun chen lirong wang xiangyun liu yuanfang division of applied chemistry, department of technical physics,
鄒娟，任春，李鐵軍，陳麗蓉，王祥雲，劉元方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。Basing on the research of the geometric continuous condoition of two patches, this paper gives a method for merging two bezier surfaces with the construction of transition band which improves the result of liu ding - yuan and hu kang - sheng
摘要在研究兩曲面片間幾何連續條件基礎上，給出了運用構造過渡曲面片來光滑地連接兩相鄰曲面片的一種方法，所得結果是對劉鼎元，胡康生等研究成果的改進，並給出了本演算法的試驗結果。But all the results were established on the basis that the operator in delay term is bounded. for the condition that the operator is unbounded in delay term which is constant, liu [ 4 ] and guo [ 8 ] have made some research and got some sufficient and necessary conditions
但上述結果都是建立在時滯項所含運算元為有界運算元的基礎上，對于時滯項含無界運算元的抽象微分方程對小時滯的魯棒穩定性，劉康生[ 4 ] ，郭發明[ 8 ]做了一些研究並獲得了一些充分必要條件。C. l. chang, 1998, a study of undergrduate finite element currculum in taiwan, canadian society for mechanical engineerng form, toronto, canada
張嘉隆，劉坤孝， 1998 ，整合實驗應力量測與有限元素方法機械元件之應力分析， 87年機械基礎學術研討會論文集，陸軍官校分享友人