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1、Thisarticlewasdownloadedby:[BeihangUniversity]On:07March2012,At:23:16Publisher:Taylor&FrancisInformaLtdRegisteredinEnglandandWalesRegisteredNumber:1072954Registeredoffice:MortimerHouse,37-41MortimerStreet,LondonW1T3JH,UKInternationalJournalofMathematicalEducationinScienceandTechnolog
2、yPublicationdetails,includinginstructionsforauthorsandsubscriptioninformation:http://www.tandfonline.com/loi/tmes20TheGibbs'phenomenonabTempleH.Fay&P.HendrikKloppersaUniversityofSouthernMississippibTechnikonPretoriaAvailableonline:11Nov2010Tocitethisarticle:TempleH.Fay&P.HendrikKlopp
3、ers(2001):TheGibbs'phenomenon,InternationalJournalofMathematicalEducationinScienceandTechnology,32:1,73-89Tolinktothisarticle:http://dx.doi.org/10.1080/00207390117151PLEASESCROLLDOWNFORARTICLEFulltermsandconditionsofuse:http://www.tandfonline.com/page/terms-and-conditionsThisarticlem
4、aybeusedforresearch,teaching,andprivatestudypurposes.Anysubstantialorsystematicreproduction,redistribution,reselling,loan,sub-licensing,systematicsupply,ordistributioninanyformtoanyoneisexpresslyforbidden.Thepublisherdoesnotgiveanywarrantyexpressorimpliedormakeanyrepresentationthatth
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6、yinconnectionwithorarisingoutoftheuseofthismaterial.int.j.math.educ.sci.technol.,2001,vol.32,no.1,73–89TheGibbs’phenomenon*TEMPLEH.FAY{andP.HENDRIKKLOPPERS{{TechnikonPretoria0001,RepublicofSouthAfricaandUniversityofSouthernMississippi,Hattiesburg,MS39406-5045,USA;e-mail:thfay@mozart.
7、st.usm.edu{TechnikonPretoria0001,RepublicofSouthAfrica;e-mail:kloppersph@techpta.ac.za(Received3August1999)Thewell-knownphysicistA.A.MichelsonstartedquiteaninterestingcorrespondenceinthejournalNaturein1898.HecomplainedabouttheconvergenceofcontinuousFourierseriesapproximationstoadisco
8、ntinuousfunc