解析函数几种定义附其关系().docVIP

解析函数的几种定义及其关系 （1） 潘传中 (达州职业技术学院党办，四川达州635000） 摘要：解析函数在复变函数中占有十分重要的地位，但它的定义在不同的著作中形式不一样.给出了解析函数的五种定义，并证明它们彼此等价，从而能更深刻地理解和应用解析函数. 关键词：解析函数；定义；等价 Five Definitions and Their Relations of Analytic Function PAN Chuan-zhong (Party Office of Dazhou Vocational and Technological College, Dazhou Sichuan 635000, China) Abstract:The Analytic Function occupies a very important position in the Complex Functions, but its definition has various forms in different works. For the sake of getting a better understanding, five kinds of definitions are listed in this article. Their equivalence has also been proved thus to be understood more profoundly and applied more appropriately. Key words: Analytical Function; definition; equivalence 关于费马数的一个结果及应用 （4） 管训贵 (泰州师范高等专科学校数理系，江苏泰州225300） 摘要：利用费马合数Fn的素因数分解式的一般形式，建立了具有一定应用价值的等式，得到了F5的素因数分解式，并证明了F6是合数.文末还给出了一个猜想. 关键词：费马数；合数；素因数分解式；等式；猜想 A Result of Fermat Numbers and Its Application GUAN Xun-gui (Mathematics and Polytechnic Department of Taizhou Teachers College, Taizhou Jiangsu 225300, China) Abstract:In this paper, an equivalence is established by using the generalization of the prime factorization of Fn. It is of great value. We obtain the prime factorization of F5 and F6 is composite. A conjecture is given at end. Key words:Fermat numbers; composite; the prime factorization; equality; conjecture 关于人工约束法寻找对偶初始可行解的一个注记 （6） 董兵1， 陈文2 (1.中国民航飞行学院计算机学院，四川广汉 618307；2.四川文理学院数学与财经系，四川达州 635000) 摘要：用对偶单纯形法求解线性规划问题，在无法直接求得对偶问题的可行解时，引入人工约束法寻找对偶问题初始可行解.讨论了原问题（LP）与新规划（LPM）解之间的关系，并给出了证明. 关键词：线性规划；人工约束法对；偶规划 A Note of Artificial Constrained Method Searching for Dual Feasible Solution DONG Bing, CHEN Wen (1.Computer Department of Civil Aviation Flight University of China, Guanghan Sichuan 618307; 2. Mathematics and Finance-Economics Department of SASU, Dazhou Sichuan 635000, China) Abstract:When directly obtaining no feasible solution to the dual problem with the dual simplex method for solving linear