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简介：etRb,c(n)denotethenumberofrepresentationsofnasthesumofonesquare,fourcubes,oneb-thpowerandonec-thpowerofnaturalnumbers.Itisshownthatifb=4,4≤c≤35,orb=5,5≤c≤13,orb=6,6≤e≤9,orb=c=7,thenRb,c(n)>>n^5/6+1/b+1/cforallsufficientlylargen.

简介：LetP（z）beapolynomialofdegreenandforanycomplexnumbera,letDaP（z）=nP（z）＋（a-z）P′（z）denotethepolarderivativeofthepolynomialP（z）withrespecttoa.Inthispaper,weobtaininequalitiesforthepolarderivativeofapolynomialhavingallzerosinsideacircle.Ourresultsshallgeneralizeandsharpensomewell-knownresultsofTuran,Govil,Dewanetal.andothers.

简介：theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.

简介：Koszul的概念微分分级(DG为短)代数学被介绍在[8]。让A是KoszulDG代数学。如果A的Ext代数学是有限维的，即，小模块k是在DGA模块的导出的范畴的一个紧缩的目标，那么，它被显示出在[8]那A有许多好性质。然而，如果Ext代数学是无限维的，很少对A被知道。是出现在[15](也参见提议2.2)，如果H(A)是有限维的，k不是紧缩的。在这篇论文，H(A)什么时候用Foxby两重性是有限维的由，被证明Koszul两重性定理也成立。BGG通讯的一个DG版本从Koszul两重性定理被推出。

简介：Bystudyingmodularinvariancepropertiesofsomecharacteristicforms,wegetsomegen-eralizedanomalycancellationformulason（4r-1）-dimensionalmanifoldswithnoassumptionthatthe3rdde-Rhamcohomologyofmanifoldsvanishes.Theseanomalycancellationformulasgeneralizeourpreviousanomalycancellationformulason（4r-1）-dimensionalmanifolds.Wealsogeneralizeourpreviousanomalycancellationformulason（4r-1）-dimensionalmanifoldsandtheHauYurigiditytheoremtothe（a,b）case.

简介：Inthispaper,weconsidertheclassofpolynomialsP(z)=anzn+∑nν=μan-νzn-ν,1≤μ≤n,havingallzerosin|z|≤k,k≤1andtherebypresentanalternativeproof,independentofLaguerre’stheorem,ofaninequalityconcerningthepolarderivativeofapolynomial.

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简介：Inthisarticle,thegeneralcentrallimittheoremandBerry-Esseenboundsforfinite-populationU-statisticswithdegreemareestablishedundertheveryweakconditions,TheseresultssubstantiallyimprovethoseofZhaoandChen’s(1987).

简介：WepresentaparalleliterativealgorithmtofindtheshortestdistanceprojectionofagivenpointontotheintersectionofafinitenumberofclosedconvexsetsinarealHilbertspace;thenumberofsetsusedateachiterationsteptcorrespondingtothenumberofavailableprocessors,maybesmallerthanthetotalnumberofsets.TherelaxationcoefficientateachiterationstepisdeterminedbyageometricalconditioninanassociatedHilbertspace,whilefortheweightsmildconditionsaregiventoassurenormconvergenceoftheresultingsequence.Thesemildconditionsleaveenoughflexibilitytodeterminetheweightsmorespecificallyinordertoimprovethespeedofconvergence.

简介：LetP(G,λ)bethechromaticpolynomialofagraphG.TwographsGandHaresaidtobechromaticallyequivalent,denotedG～H,ifP(G,λ)=P(H,λ).Wewrite[G]={H|H～G}.If[G]={G},thenGissaidtobechromaticallyunique.Inthispaper,wefirstcharacterizecertaincomplete6-partitegraphswith6n+1verticesaccordingtothenumberof7-independentpartitionsofG.Usingtheseresults,weinvestigatethechromaticityofGwithcertainstarormatchingdeleted.Asaby-product,manynewfamiliesofchromaticallyuniquecomplete6-partitegraphswithcertainstarormatchingdeletedareobtained.

简介：Inthispaper,basedontheresulspresentedinpartIofthispaper[18],wepresentanumericalcrabedingalgorithmforsolingthenonlinearcomplementarityproblem,andproveitsconvergencecarefully.Numericalexperimentsshowthatthealgorithmissuccessful.

简介：TheeffectofanappliedmagneticfieldonaninhomogeneoussuperconductorisstudiedandthevalueofthelowercriticalmagneticfieldHclatwhichsuperconductingvorticesappearisestimated.Inaddition,theauthorslocatethevorticesoflocalminimizers,whichdependsontheinhomogeneoustermα(x).

简介：Modelinglog-mortalityratesonO-UtypeprocessesandforecastinglifeexpectanciesareexploredusingU.S.data.IntheclassicLee-Cartermodelofmortality,thetimetrendandtheage-specificpatternofmortalityoveragegrouparelinear,thisisnotthefeatureofmortalitmodel.Toavoidthisdisadvantage,O-Utypeprocesseswillbeusedtomodelthelog-mortalityinthispaper.Infact,thismodelisanAR(1)process,butwithanonlineartimedriftterm.BasedonthemortalitydataofAmericafromHumanMortalitydatabase(HMD),mortalityprojectionconsistentlyindicatesapreferenceformortalitywithO-UtypeprocessesoverthosewiththeclassicalLee-Cartermodel.Bymeansofthismodel,thelowboundsofmortalityratesateveryagearegiven.Therefore,lengtheningofmaximumlifeexpectanciesspanisestimatedinthispaper.

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简介：让(u?弈吗？？

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简介：图G是一个简单，图G的补图记为^－G，如果G的谱完全由整数组成，就称G是整谱图，鸡尾酒会图CP（n）=K2n-nK2（K2n是完全图）和完全二部图Kα,α都是整谱图^[1]。^—μ1表示图类^－αKα,αUβCP（b）的一个主特征值，本文确图了当^-μ1=2b＋1时，图类中^－αKα,αUβCP（b）的所有的整谱图。