简介：ErdǒsandSósconjecturedin1963(see[1],Problem12in247)thateverygraphGonnverticeswithsizee(G)>1/2n(κ-1)containseverytreeTofsizek.Inthispaper,weprovetheconjectureforgraphswhosecomplementscontainnocyclesoflength4.

简介：Abstract.Inthispaperweshallinvestigatetheboundofstaxlikvnessrfortheclass

简介：在Diff(S1)/S之间的关系1并且磁盘上的一价的分析函数的空间被阐明并且出现为彻底的近似的卷提供上面的界限给一个无限维的空格的分析submanifold。在superdisk上的一价的superanalytic功能的系列扩大的系数的最大的大小被推断。

简介：作者在C上给围住的双线性的表格的Fourier变换的描述*(S1)×C*(二基础半的S2)以乔丹组织S1和S2*-representations,hemimogeneous随机域，并且象一样微弱地，harmonizable随机S回答1和S2直到Hilbert空格。

简介：在这份报纸，在范围的稳定的homotopy组的homotopy元素的一个新家庭由n2m5and3s代表了s

简介：Weproveseveralinequaliesforsymmetricpostivesemidefinite,generalMmatricesandinverseM-matriceswhicharegeneralizationoftheclassicalOppenheim'sInequalityforsymmetricpositivesemidefinitematrices.

简介：TheauthorfirstreviewstheclassicalKorninequalityanditsproof.FollowingrecentworksofS.Kesavan,P.Ciarlet,Jr.,andtheauthor,itisshownhowtheKorninequalitycanberecoveredbyanentirelydifferentproof.ThisnewproofhingesonappropriateweakversionsoftheclassicalPoincar'eandSaint-Venantlemma.Infine,bothproofsessentiallydependonacruciallemmaofJ.L.Lions,recalledatthebeginningofthispaper.

简介：设S是幺半群含有零元0≠1,且S-系为S0-Act中的对象,本文引进伪投射S-系,刻划了伪投射S-系的一些性质和特征.

简介：LetpdenoteaprimeandP2denoteanalmostprimewithatmosttwoprimefactors.Theauthorprovesthatforsuffcientlylargex,sumfromp≤xp+2=P21>(1.13Cx)/(log~2x),wheretheconstant1.13constitutesanimprovementofthepreviousresult1.104duetoJ.Wu.

简介：ItisprovedthattheChebyshevpolynomial_n(x)=T_n(xcosπ/2n),hasthegreatestuniformnormon[-1,1]ofitsthirdderivativeamongtherealpolynomialsofdegreeatmostn,whichareboundedby1in[-1,1]andvanishin-1and1.

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简介：In1972,Fullerprovedthatacompleteadditivesubeategory_RCofR-Modisequivalenttoamodulecategory⊿-Modifandonlyif_RC=Gen(_RU)forsomequasiprogenerator_RUand⊿≌End_RUcanonically.Inthisnotetheauthorgivesacharacterizationof_RCwhichmakes_RUaprojectiveR-moduleinthecasewhenRisarightperfectringwithidentity,andshowsthatR-ModistheuniquecompleteadditivesubcategoryofR-ModwhichisequivalenttoR-ModforaleftArtinianringR.

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简介：InthispaperwegiveanalmostsharperrorestimateofHalley’siterationforthemajorizingsequence.Comparedwiththecorrespondingresultsin[6,14],itisfarbetter.Meanwhile,theconvergencetheoremisestablished.forHalley’siterationinBanachspaces.

简介：ThisarticledescribesalocalerrorestimatorforGlimm'sschemeforhyperbolicsystemsofconservationlawsandusesittoreplacetheusualrandomchoiceinGlimm'sschemebyanoptimalchoice.Asaby-productofthelocalerrorestimator,theprocedureprovidesaglobalerrorestimatorthatisshownnumericallytobeaveryaccurateestimateoftheerrorinL1(R)foralltimes.Althoughthereispartialmathematicalevidencefortheerrorestimatorproposed,atthisstagetheerrorestimatormustbeconsideredad-hoc.Nonetheless,theerrorestimatorissimpletocompute,relativelyinexpensive,withoutadjustableparametersandatleastasaccurateasotherexistingerrorestimators.Numericalexperimentsin1-DforBurgers'equationandforEuler'ssystemareperformedtomeasuretheasymptoticaccuracyoftheresultingschemeandoftheerrorestimator.

简介：<正>InthepresentnotethealgebraicindependenceofvaluesofseveralMahlerserieswithcertainparticularanddifferentparametersatalgebraicpointsisestablishedbymeansofatypicalapproximationmethodhandlingtheLiouvilletypeseries.

简介：Inthisarticle,westudytheproblemsofBorel'sdirectionsofmeromorphicfunc-tionsconcerningsharedvaluesandprovethatiftwomeromorphicfunctionsofinfiniteordersharethreedistinctvalues,theirBorel'sdirectionsaresame.

简介：InthispaperwediscusstheconvergenceofamodifiedNewton’smethodpresentedbyA.Ostrowski[1]andJ.F.Traub[2],whichhasquadraticconvergenceorderbutreducesoneevaluationofthederivativeateverytwostepscomparedwithNewton’smethod.Aconvergencetheoremisestablishedbyusingaweakconditiona≤3-2(21/2)andasharperrorestimateisgivenabouttheiterativesequence.