简介：WeconsiderdiffusivelimitoftheBoltzmannequationinaperiodicbox.WeestablishL~6estimateforthehydrodynamicpartPfofparticledistributionfunction,whichleadstouniformboundsglobalintime.

简介：LetMbeacompactorientable3-manifoldwithMconnected.IfV∪SWisaHeegaardsplittingofMwithdistanceatleast6,thenthe-stabilizationofV∪SWalongMisunstabilized.HenceMhasatleasttwounstabilizedHeegaardsplittingswithdifferentgenera.ThebasictoolisaresultondiskcomplexgivenbyMasurandSchleimer.

简介：Theaimofthispaperistostudy6-canonicalsystemofanonsigualrminimal3-foldX.If|2KX|isnotcomposedofpencils,itisshownthatΦ|6KX|isbirationalwithpossibleexceptionsfor:(K^3X,X(OX),ps(X))=(2,-1,1)or(4,-1,0)or(4,-1,1).

简介：InapaperbyZhangandChenetal.(see[11]),aconjecturewasmadeconcerningtheminimumnumberofcolorsXat(G)requiredinapropertotal-coloringofGsothatanytwoadjacentverticeshavedifferentcolorsets,wherethecolorsetofavertexvisthesetcomposedofthecolorofvandthecolorsincidenttov.WefindtheexactvaluesofXat(G)andthusverifytheconjecturewhenGisaGeneralizedHalingraphwithmaximumdegreeatleast6.AgeneralizedHalingraphisa2-connectedplanegraphGsuchthatremovingalltheedgesoftheboundaryoftheexteriorfaceofG(thedegreesoftheverticesintheboundaryofexteriorfaceofGareallthree)givesatree.

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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：GeneralizedSteiriertriplesystems,GS(2,3,n,g),areequivalenttomaximumconstantweightcodesoveranalphabetofsizeg+1withdistance3andweight3inwhicheachcodewordhaslengthn.ThenecessaryconditionsfortheexistenceofaGS(2,3,n,g)are(n-1)g≡0(mod2),n(n-1)g2≡0(mod6),andn≥g+2.Thesenecessaryconditionsareshowntobesufficientbyseveralauthorsfor2≤g≤11.Inthispaper,threenewresultsareobtained.First,itisshownthatforanygiveng,g≡0(mod6)andg≥12,ifthereexistsaGS(2.3.n.g)foralln,g+2≤n≤7g+13.thenthenecessaryconditionsarealsosufficient.Next,itisalsoshownthatforanygiveng,g≡3(mod6)andg≥15,ifthereexistsaGS(2,3,n,g)foralln,n≡1(mod2)andg+2≤n≤7g+6,thenthenecessaryconditionsarealsosufficient.Finally,asanapplication,itisprovedthatthenecessaryconditionsfortheexistenceofaGS(2,3,n,g)arealsosufficientforg=12,15.

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简介：Inthispaper,wepresentatheoreticalanalysisforlinearfiniteelementsuperconvergentgradientrecoveryonPar6mesh,thedualofwhichiscentroidalVoronoitessellationswiththelowestenergyperunitvolumeandisthecongruentcellpredictedbythethree-dimensionalGersho'sconjecture.Weshowthatthelinearfiniteelementsolutionu_handthelinearinterpolationu_1havesuperclosegradientonPar6meshes.Consequently,thegradientrecoveredfromthefiniteelementsolutionbyusingthesuperconvergencepatchrecoverymethodissuperconvergentto▽u.Anumericalexampleispresentedtoverifythetheoreticalresult.

简介：ThechoicenumberofagraphG,denotedbyX1(G),istheminimumnumberksuchthatifalistofkcolorsisgiventoeachvertexofG,thereisavertexcoloringofGwhereeachvertexreceivesacolorfromitsownlistnomatterwhatthelistsare.Inthispaper,itisshowedthatX1(G)≤3foreachplanegraphofgirthnotlessthan4whichcontainsno6-,7-and9-cycles.

简介：<正>近几年来海南省关于轴对称、平移与旋转这方面的中考试题,常见的题型有选择题、填空题、网格作图题,主要考查的内容为轴对称、平移与旋转的基本性质.但在2014年的中考命题中,网格作图已不在是主要的考查方式,而是将旋转的有关内容与其它的几何内容相结合,变成一道综合性有点强的填空题,从而达

简介：证明了图2Kv的可旋转(4,6)圈系存在的充分必要条件为:v≥10,v≡0,5(mod10).更多还原

简介：<正>常见的图形运动有三种:轴对称、平移和旋转.这三种变换刻画了"两个全等图形"特定的位置关系,贯穿于三角形、四边形、圆等基本几何图形性质的研究.通过设置基于基本变换的试题,可以考查学生对基本图形本质的理解,又能考查学生的空间观念、动手操作、猜想验证

简介：<正>三角形的有关知识是"空间与图形"中最为核心的内容.它包括两类:一是基于一个三角形的知识,包括三角形各个元素之间的关系(边之间的关系、角之间的关系、边与角的关系),以及有关的重要线段(高线、中线、角平分线、中位线);二是基于三角形之间关系的知识,如两个三角形的全等关系(性质与判定)等.一、中考内容要求1.了解三角形的有关概念及各元素之间的关系,

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