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：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：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).

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简介：ThisvolumeisdedicatedtoProfessorXiaqiDing,anacademicianoftheChineseAcademyofSciences,ontheoccasionofhiseightiethbirthday.ProfessorXiaqiDingwasbornonMay25,1928,inTaoJiangcounty,Hunanprovince.Hewasgraduatedin1951fromtheDepartmentofMathematics,WuhanUniversity.Becauseofhisoutstandingacademicperformance,hewasselectedrightaftercollegeforhisstudyandresearchat

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简介：从学生未来人生的需要着眼，学校教育已把培养创新精神，创新意识，创造才能作为提高学生素质的重点．因此，全国各地的中考数学试题中出现了一些新型的题型，如：开放型、探索型，实际应用型类型的题目，引起广大师生的高度重视，并给数学教学增添了新的活力．

简介：应用解析鞅的不等式及其收敛性给出了Ｂａｎａｃｈ空间的型和余型的刻划．

简介：<正>随着新课程理念的全面推进,从小学到中学,探究题可以说比比皆是,层出不穷,而且形式多样.有一类是"规律型探究题",趣味性强,难度一般,对于水平中

简介：在现在的纸，我们声明有关为非卷绕旋转的一个类的pointwise集中和它的率的一些近似定理打形式的非线性的不可分的操作员：

简介：<正>新的《数学课程标准(实验稿)》中强调:"教材所选择的素材应尽量来源于自然、社会与科学中的现象和实际问题".因此,以其他学科知识为素材的中考数学题——学科渗透型试题,近几年来倍受命题者的关注.所谓学科渗透型试题包含两层含义:一是运用数学知识解决其他学科的问题;

简介：研究在无界区域上的二阶拟线性散度型椭圆型方程Dirichlet问题在无穷远处径向收敛的古典解存在性和唯一性.