浅析-实变函数-课程的知识体系-周仙耕

：2011-01-12：（1978－），，.E-mail：[e-mail]：《》，《》、《》.《》，.《》，.：《》；；Lebesgue；Riemann：G423.04：A：2095-2481(2011)03-0297-03《》（，352100）1901429，Lebesgue《》，LebesgueLebesgue.Leesgue，20，.《》Lebesgue，《》.《》，，《》、、，.，《》，.Rn，《》，《》.1Riemann《》，Riemann.Riemann，，..（1）.fn(x)a,b，ba乙1imn→∞fn（x）dx=1imn→∞ba乙fn（x）dx.：fn(x)Riemann，，.（2）.fn(x)[a,b]，ba乙∞n=1Σfn(x)dx=∞n=1Σba乙fn(x)dx.（3）.Riemannf(x)f(x)=xa乙f(t)dtf(x)F′（x）=f(x).，.，Volterra：F(x)f(x)Riemann.（4）Riemann.、、，Riemann.DirichletD(x)=1,x∈誧∩0,∩∩10,x∈誧c∩0,∩1[0,1]Riemann.DirichletRiemann，D(x)0.23320118()JournalofNingdeNormalUniversity（NaturalScience)Vol.23No.3Aug.2011DOI:10.15911/j.cnki.35-1311/n.2011.03.029()20118：[1]，.[M].：，2005.12.[2]，.[M].：，1999.4.[3]Jean-PierreKahane.Lebesgue[J].，2002(2):97-106.[4].[J].：，2007(2):146-146.，Riemann，，.，1901LebesgueLebesgue，，.2《》《》Lebesgue.“E乙f（x）dx”《》.“E”“dx”“”，“”.：“”？“”？“”？《》.Em*E，，，.：、n.“f(x)”，f(x).ERn，a,E[x:f(x)＞a]，Rn，f(x)E.f(x)，、、.Lusin，“”，.Egoroff，，，Lusin.“E乙f（x）dx”Lebesgue.，，，，，Lebesgue：Ef(x)Lebesguef(x)E.，DirichletLebesgue0.Riemann，.，Levi、Fatou、Vitali、Lebesgue、Lebesgue，.Fubini，，Riemann，.Lebesgue.LebesgueRiemann：（1）.Riemann，Lebesgue，RiemannLebesgue，.LebesgueRiemann，：LebesgueRiemann.(R)∞0乙sinxx=n2,(L)(0,∞)乙sinxx=∞.（2）Lebesgue，Riemann.，：，，，、、、、，，Riemann，Lebesgue.·298·OntheknowledgesystemofRealVariableFunctionZHOUXian-geng(NingdeNormalUniversity,Ningde,Fujian352100,China)Abstract:RealVariableFunction,acompulsorycourseforcollegestudentsinthemathdepartment,playsanimportantrolefortheirlearning.However,thefailuretounderstandtheknowledgesystemresultsinpoorlearning.Therefore,theauthortriestoillustratetheknowledgesystemsoastomakeitbetterunderstood.Keywords:RealVariableFunction;knowledgesystem;Lebesgueintegral;Riemannintegral(296)DataBackupforLibrarydocumentmanagementsystemCHENYong-fang(LibraryofNingdeNormalUniversity,Ningde,Fujian352100,China)Abstract:Thedataoflibrarydocumentmanagementsystemisthebasisandcoreoflibraryautomaticmanagement.Oncethedataisdamagedorlost,itwillcauseincalculablelosstothelibrary.Thispapermainlyintroducestheimportanceofdatabackup,themethodsandinstructionofdatabackupundertheen-vironmentofSQLServer.Keywords:documentmanagement;databackup;SQLServer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:《》3·299·