简介：<正>WegiveatreatmentoftheWeiertrasspointsofcurveswhichisalittledifferentfromthetreatmentbyLaksov.Weintroducethenotionoftheithweightwhichmakesthetreatmenteasierandgivesanalgorithmforcomputingthegapsequenceofaneffectivedivisorandtheweightatapoint.

简介：LaAbepointseparatinguiatalsubalgebra.ofC(T)whereTisacompactmetricspace.Foreachboundedfunctionf:TwhichiscontinuousonthecomplementofameagresubsetofTthereexistsasequence(wn)ofelementsofthealgebraAsuchthatthesequence(w)convergesuniformlytothefunctionfoneachcompactsubsetoftheinteriorofthecontinuitypointsofthefunctionf.

简介：ThepresentpaperinvestigatesthefractalstructureoffractionalintegralsofWeierstrassfunctions.Theexactboxdimensionforsuchfunctionsmanyimportantcasesisestablished.Weneedtopointoutthat,althoughtheresultitselfachievedinthepresentpaperisinteresting,thenewtechniqueandmethodshouldbeemphasized.ThesenovelideasmightbeusefultoestablishtheboxdimensionorHausdorffdimension(especiallyforthelowerbounds)formoregeneralgroupsoffunctions.

简介：ThisisastudyoftheDurand-KernerandNoureinmethodsforfindingtherootsofagivenalgebraicequationsimultaneously.Weconsidertheconditionsunderwhichtheiterativemethodsfail.Thenumericalexampleispresented.

简介：这里，我们学习多重覆盖物合理并且我合理曲线。我们在m-gonal曲线上关于非差距顺序给一条定理。我们然后学习一般荒谬的盖住f：X→C，并且当时，说h0(X,f*(L))为C上的L线捆的=h0(C,L)。

简介：TheauthorsdefinetheGaussmapofsurfacesinthethree-dimensionalHeisenberggroupandgivearepresentationformulaforsurfacesofprescribedmeancurvature.Furthermore,asecondorderpartialdifferentialequationfortheGaussmapisobtained,anditisshownthatthisequationisthecompleteintegrabilityconditionoftherepresentation.

简介：非单调类性质在连续函数研究中起着重要作用．众所周知，Weierstrass函数具有非单调类性质．本文证明了Weierstrass-Mandelbrot型函数具有非单调类性质．

简介：TheauthorobtainsaWeierstrassrepresentationforsurfaceswithprescribednormalGaussmapandGausscurvatureinH3.AdifferentialequationaboutthehyperbolicGaussmapisalsoobtained,whichcharacterizestherelationamongthehyperbolicGaussmap,thenormalGaussmapandGausscurvature.TheauthordiscussestheharmonicityofthenormalGaussmapandthehyperbolicGaussmapfromsurfacewithconstantGausscurvatureinH3toS2withcertainalteredconformalmetric.Finally,theauthorconsidersthesurfacewhosenormalGaussmapisconformalandderivesacompletelynonlineardifferentialequationofsecondorderwhichgraphmustsatisfy.

简介：BasedontheWeierstrassellipticfunctionequation,anewWeierstrasssemi-rationalexpansionmethodanditsalgorithmarepresented.Themainideaofthemethodchangestheproblemsolvingsolitonequationsintoanotheronesolvingthecorrespondingsetofnonlinearalgebraicequations.WiththeaidofMaple,wechoosethemodifiedKdVequation,(2+1)-dimensionalKPequation,and(3+1)-dimensionalJimbo-Miwaequationtoillustrateouralgorithm.Asaconsequence,manytypesofnewdoublyperiodicsolutionsareobtainedintermsoftheWeierstrassellipticfunction.MoreoverthecorrespondingnewJacobiellipticfunctionsolutionsandsolitarywavesolutionsarealsopresentedassimplelimitsofdoublyperiodicsolutions.