简介：AgraphGiscalledchromatic-choosableifitschoicenumberisequaltoitschromaticnumber,namelych(G)=χ(G).Ohba’sconjecturestatesthateverygraphGwith2χ(G)+1orfewerverticesischromaticchoosable.ItisclearthatOhba’sconjectureistrueifandonlyifitistrueforcompletemultipartitegraphs.Recently,Kostochka,StiebitzandWoodallshowedthatOhba’sconjectureholdsforcompletemultipartitegraphswithpartitesizeatmostfive.Butthecompletemultipartitegraphswithnorestrictionontheirpartitesize,forwhichOhba’sconjecturehasbeenverifiedarenothingmorethanthegraphsKt+3,2*(k-t-1),1*tbyEnotomoetal.,andKt+2,3,2*(k-t-2),1*tfort≤4byShenetal..Inthispaper,usingtheconceptoff-choosable(orL0-size-choosable)ofgraphs,weshowthatOhba’sconjectureisalsotrueforthegraphsKt+2,3,2*(k-t-2),1*twhent≥5.Thus,Ohba’sconjectureistrueforgraphsKt+2,3,2*(k-t-2),1*tforallintegerst≥1.

简介：讨论了B-值随机变量序列加权和的弱大数定律及Lr收敛性,同时获得了稳定P型Banach空间性质的刻画.

简介：主要讨论了不含k-C-圈的n阶r-一致超图,对不同的k,分别得出了它的极大边数的一个下界,并且得出在有些情况下它的下界是最大的.另外,我们得到了Krn含k-C-圈的一个充分必要条件.

简介：TheV^t-integralasdefinedin[2],whichiseqnivalenttoM^2-integrslasdefinedinTrigonometreseriesbyZygmundisusedtosumtrigonometricseiesin[1].Inthispaper,someconvergenttheoremsofV^2-integralareestablished.

简介：LiuandYangavethedegreeconditionforabalancedbipartitegraphG=(V_1,V_2;E)tohavekvertex-disjointquadrilateralscontaininganygivenkindependentedgese_1,...,e_kofG,respectively.Theyalsoconjecturedthatforanykindependentedgese_1,...,e_kofG,Ghasa2-factorwithkcyclesC_1,C_2,…,C_kwithrespectto{e_1,e_2,...,e_k}suchthatk-1ofthemarequadrilaterals.Inthispaper,weprovethisconjecture.

简介：Inthispaper,weuseamethodinordertofindexactexplicittravelingsolutionsinthesubspaceofthephasespaceforCH2equations.Thekeyideaisremovingacoupledrelationforthegivensystemsothatthenewsystemscanbesolved.Theexistenceofsolitarywavesolutionsisobtained.Itisshownthatbifurcationtheoryofdynamicalsystemsprovidesapowerfulmathematicaltoolforsolvingagreatmanynonlinearpartialdifferentialequationsinmathematicalphysics.

简介：Wetackletheproblemofconstructing2DcentroidalVoronoitessellationswithconstraintsthroughanefficientandrobustconstructionofboundedVoronoidiagrams,thepseudo-dualoftheconstrainedDelaunaytriangulation.WeexploitthefactthatthecellsoftheboundedVoronoidiagramcanbeobtainedbyclippingtheordinaryonesagainsttheconstrainedDelaunayedges.Theclippingitselfisefficientlycomputedbyidentifyingforeachconstrainededgethe(connected)setoftriangleswhosedualVoronoiverticesarehiddenbytheconstraint.TheresultingconstructionisamenabletoLloydrelaxationsoastoobtainacentroidaltessellationwithconstraints.

简介：ConsiderL2-projectionuhofuton-degreefiniteelementspaceonone-dimensionaluniformgrids.TwodifferentclassesoftheorthogonalexpansioninanelementforconstructingasuperclosetofunctionuhareproposedandthensuperconvergenceforbothuhandDuhareproved.Whennisoddandnoboundaryconditionsareprescribed,thenuhisofsuperconvergenceatn+1orderGausspointsGn+1ineachelement.Whennisevenandfunctionvaluesontheboundaryareprescribed,thenuhisofsuperconvergenceatn+1orderpointsZn+1ineachelement.Iftheotherboundaryconditionsaregiven,thentheconclusionsarevalidinallelementsthatitsdistancefromtheboundary≥ch|lnh|.Theaboveconclusionsarealsovalid.forn-dergreerectangularelementQ1（n）.

简介：在这篇论文，我们学习在订的复制Hilbert空格和它的复制内核之间的关系。对多项式与领先的学期产生的二个伪不变的潜水艇空格的一个类似、单一的等价的完全的描述被给。

简介：作者将证明组2Dp(3)能被它的顺序部件特别地决定，在此p≠2m+1是一个素数，p≥5。更精确，如果OC(G)表示G的顺序部件的集合，我们将证明OC(G)=是OC(2Dp(3))如果并且仅当G对2Dp(3)。我们的结果的主要后果是汤普森的有效性在考虑下面为这些组推测。

简介：引入了FC-度量空间,建立了非紧FC-度量空间中的R-KKM定理.作为应用,研究了非紧FC-度量空间中的变分不等式的解集、相交点集、KyFan截口和极大元集的性质,获得了FC-度量空间中的Fan-Browder不动点定理.

简介：

简介：让M<啜class=“a-plus-plus”>n一光滑关门与n歧管一局部地标准(<潜水艇class=“a-plus-plus”>2)n-action。这份报纸处理关系在之中现代派M的2个Betti数字<啜class=“a-plus-plus”>n,现代派2个Betti数字和行动的轨道空间的h向量。

简介：LetAbead×drealexpansivematrix.AnA-dilationParsevalframewaveletisafunctionψ∈L2(Rd),suchthattheset{|detA|n/2ψ(Ant-l):n∈Z,l∈Zd}formsaParsevalframeforL2(R~d).AmeasurablefunctionfiscalledanA-dilationParsevalframewaveletmultiplieriftheinverseFouriertransformoff■isanA-dilationParsevalframewaveletwheneverψisanA-dilationParsevalframewavelet,where■denotestheFouriertransformofψ.Inthispaper,theauthorscompletelycharacterizeallA-dilationParsevalframewaveletmultipliersforanyintegralexpansivematrixAwith|det(A)|=2.Asanapplication,thepath-connectivityofthesetofallA-dilationParsevalframewaveletswithaframeMRAinL2(Rd)isdiscussed.

简介：Themainresultsareasfollows.

简介：作者主要学习追踪算法到稳定的Euler系统和等温的Euler系统的波浪前面产生的弱答案的差别。在起始的数据足够地具有的假设下面小全部的变化，稳定的Euler系统和等温的超声的流动的系统的解决方案之间的差别能被起始的不安的全部的变化的立方体围住，这被证明。

简介：我们证明复杂c0上的每个2-homogeneous多项式有一个唯一的标准保存扩展到它的双性人双ℓ∞。

简介：S.M.LozinskiiprovedtheexactconvergencerateatthezeroofLagrangeinterpolationpolynomialsto|x|basedonequidistantnodesin[-1,1].In2000,M.RevergeneralizedS.M.Lozinskii'sresultto|x|α(0≤α≤1).Inthispaperwewillpresenttheexactrateofconvergenceatthepointzerofortheinterpolantsof|x|α(1＜α＜2)..

简介：这份报纸与随机的系数为随机的系统涉及混合H2/H控制，它实际上是把H2优化与H2/H的名字揭示的H柔韧的性能相结合的控制。基于古典理论线性二次(LQ短)最佳的控制，为不定的向后的随机的Riccati方程的答案的存在和唯一的足够、必要的条件(BSRE，为短)把坚韧性与H联系了被导出。然后，为H2/H控制的存在的足够、必要的条件被给利用一双联合随机的Riccati方程。

简介：Thispaperproposesandmakesastudyofanewmodel(calledthe3/2plusjumpsmodel)forVIXoptionpricing.Themodelallowsthemean-reversionspeedandvolatilityofvolatilitytobehighlysensitivetotheactuallevelofVIX.Inparticular,thepositivevolatilityskewisaddressedbythe3/2plusjumpsmodel.Dailycalibrationisusedtoprovethattheproposedmodelpreservesitsvalidityandreliabilityforbothin-sampleandout-of-sampletests.Theresultsshowthatthemodelsarecapableoffittingthemarketpricewhilegeneratingpositivevolatilityskew.