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1、解析函数地几种定义及其关系(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地地位,但它地定义在不同地著作中形式不一样.给出了解析函数地五种定义,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FiveDefinitionsandTheirRelationsofAnalyticFunctionPANChuan-zhong(PartyOfficeofDazhouVocationalandTechnologicalCollege,DazhouSichuan635000,China)Abstract:TheA
2、nalyticFunctionoccupiesaveryimportantpositionintheComplexFunctions,butitsdefinitionhasvariousformsindifferentworks.Forthesakeofgettingabetterunderstanding,fivekindsofdefinitionsarelistedinthisarticle.Theirequivalencehasalsobeenprovedthustobeunderstoodmoreprofoundlyandappliedmoreappropriately.K
3、eywords:AnalyticalFunction;definition;equivalence关于费马数地一个结果及应用(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地素因数分解式地一般形式,建立了具有一定应用价值地等式,得到了F5地素因数分解式,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AResultofFermatNumbersandItsApplicationGUANXun-gui(MathematicsandPolytechnicDepartmentofTaizhouTeachers'
4、College,TaizhouJiangsu225300,China)Abstract:Inthispaper,anequivalenceisestablishedbyusingthegeneralizationoftheprimefactorizationofFn.Itisofgreatvalue.WeobtaintheprimefactorizationofF5andF6iscomposite.Aconjectureisgivenatend.Keywords:Fermatnumbers;composite;theprimefactorization;equality;conje
5、cture关于人工约束法寻找对偶初始可行解地一个注记(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地可行解时,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)解之间地关系,并给出了证明.关键词:线性规划;人工约束法对;偶规划ANoteofArtificialConstrainedMethodSearchingforDualFeasibleSolutionDONGBing,CHENWen(1.ComputerDepa
6、rtmentofCivilAviationFlightUniversityofChina,GuanghanSichuan618307;2.MathematicsandFinance-EconomicsDepartmentofSASU,DazhouSichuan635000,China)Abstract:Whendirectlyobtainingnofeasiblesolutiontothedualproblemwiththedualsimplexmethodforsolvinglinearprogrammingproblems,theartificialconstraintmeth
7、odcanbeintroducedtofindaninitialfeasiblesolutiontothedualproblem.Therelationshipbetweenthesolutionsoftheoriginalproblem(LP)andthenewplanning(LPM)isdiscussedandtheproofsaregiveninthepaper.Keyword:Linearprogramming;artificialconstrainedme