简介：The"o"saturationtheoremandthedegreeofLw^papproximationby(0-q'-q)typeHermite-Fejérinterpolatingpolynomialsformeanconvergenceareobtained.

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简介：LetMbeapositivequaternionicKhlermanifoldofdimension4m.Wealreadyshowedthatifthesymmetryrankisgreaterthanorequalto[m/2]+2andthefourthBettinumberb_4isequaltoone,thenMisisometrictoHP~(m).Thegoalofthispaperistoreportthatwecanimprovethelowerboundofthesymmetryrankbyoneforhighereven-dimensionalpositivequaternionicKahlermanifolds.Namely,itisshowninthispaperthatifthesymmetryrankofMwithb_4(M)=1isgreaterthanorequaltom/2+1form≥10,thenMisisometrictoHP~m.OneofthemainstrategiesofthispaperistoapplyamoredelicateargumentofFrankeltypetopositivequaternionicKhlermanifoldswithcertainsymmetryrank.

简介：Inthispaper,acompleteclassificationofarc-transitivecubicgraphsoforder4pisgiven.

简介：Assumethatm≥2,pisaprimenumber,(m,p(p-1))=1,-1(Z/mZ)~*and[(Z/mZ)~*:]=4.Inthispaper,wecalculatethevalueofGausssumG(X)=Σ_(x∈F_q~*)x(x)ζ_p~(T(x))overF_q,whereq=p~f,f=((m))/4xisamultiplicativecharacterofF_qandTisthetracemapfromF_qtoF_p.Underourassumptions,G(x)belongstothedecompositionfieldKofpinQ(ζm)andKisanimaginaryquarticabeliannumberfield.WhentheGaloisgroupGal(K/Q)iscyclic,wehavestudiedthiscycliceaseinanotherpaper:'Gausssumsofindexfour:(1)cycliccase'(acceptedbyActaMathematicaSinica,2003).Inthispaperwedealwiththenon-cycliccase.

简介：At-hyperwheel(t≥3)oflengthl(orW(t)lforbrevity)isat-uniformhypergraph(V,E),whereE={e1,e2,...,el}andv1,v2,...,vlaredistinctverticesofV=∪eii=1lsuchthatfori=1,...,l,vi,vi+1∈eiandei∩ej=P,j∈/{i1,i,i+1},wheretheoperationonthesubscriptsismodulolandPisavertexofVwhichisdifferentfromvi,1≤i≤l.Inthispaper,theminimumcoveringproblemofMCλ(3,W(3)4,v)isinvestigated.DirectandrecursiveconstructionsonMCλ(3,W(3)4,v)arepresented.Thecoveringnumbercλ(3,W(3)4,v)isfinallydeterminedforanypositiveintegersv≥5andλ.

简介：让(u?弈吗？？

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简介：Thispaperinvestigatestherelative1-canonicalimageaofnon-hyperellipticfibrationsofgenus4.Itisprovedthatifafibreoftherelative1-caaonicalimage∑isnotacompleteintersectioninp^3thenthevariety∑cannotbesmoothonthisfibre.Moreover,twoexamplesaregiwntoshowtheoccurrenceofsuchcases.

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简介：Inordertoimprovethecarsalesservice4Sshopmanagementlevel,improvetheeconomicandsocialbenefitsofenterprises,incentivesareusedtoencouragetheirown4sshops.Inthispaper,throughouttherelatedanalysisofthequarterlyandannualawardsincentiveprograminlarge-scaledomesticautomobileenterprises,entropymethodwithMATLABsoftwareisappliedtoestablishthedimensionalfitfunction.Inthedataprocessing,themultiplelinearregressionfunctionintoLingosoftwareisemployedtogetthebestsolution;andClanguageisusedtorunthescreeningdataprogramthroughtheconsistencytestprograminthesensitivityanderroranalysis.Firstofall,considerthecompanytomaximizeprofitsandmaximizetheamountofcomplaintsinthestoretomaintainalowtarget;intermsofstaff,weshouldconsiderprovidingmoreincentivesforemployees;inthecustomer,theoverallsatisfaction,serviceAttitude,vehiclecleanlinessbasedshouldbeimproved.Andtwoprogramsforthemonthlyprofitandexcessprofitsofprogressiveincentivesshouldalsobeimproved.

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简介：LetGbeap-group(poddprime)andletX=Cay(G,S)bea4-valentconnectedCayleygraph.ItisshownthatifGhasnilpotentclass2,thentheautomorphismgroupAut(X)ofXisisomorphictothesemidirectproductGRAut(G,S),whereGRistherightregularrepresentationofGandAut(G,S)isthesubgroupoftheautomorphismgroupAut(G)ofGwhichfixesSsetwise.HowevertheresultisnottrueifGhasnilpotentclass3andthispaperprovidesacounterexample.

简介：对于给定的图H，若存在可图序列π的一个实现包含H作为子图，则称π为蕴含H-可图的．Gould等人考虑了下述极值问题的变形：确定最小的偶整数σ（H，n），使得每个满足σ（π）≥σ（H，n）的n项可图序列π=（d1，d2，…，dn）是蕴含H-可图的，其中σ（π）=∑di．本文刻划了蕴含K4＋P2-可图序列，其中K4＋P2是向致的一个顶点添加两条悬挂边后构成的简单图．这一刻划导出σ（K4＋P2，n）的值．

简介：Firstly,theRiemannboundaryvalueproblemforakindofdegenerateellipticsystemofthefirstorderequationsinR~4isproposed.Then,withthehelpoftheone-to-onecorrespondencebetweenthetheoryofCliffordvaluedgeneralizedregularfunctionsandthatofthedegenerateellipticsystem’ssolution,theboundaryvalueproblemasstatedaboveistransformedintoaboundaryvalueproblemrelatedtothegeneralizedregularfunctionsinCliffordanalysis.Moreover,thesolutionoftheRiemannboundaryvalueproblemforthedegenerateellipticsystemisexplicitlydescribedbyusingakindofsingularintegraloperator.Finally,theconditionsfortheexistenceofsolutionsoftheobliquederivativeproblemforanotherkindofdegenerateellipticsystemofthefirstorderequationsinR~4arederived.

简介：<正>一、中考内容要求"整式与分式"这部分内容,主要涉及的考点有:整式与分式的概念和运算,因式分解和分式的基本性质.试题难度为低、中档,题型多为选择题、填空题、计算题的形式出现,着重考查基础知识、基本技能和基本方法.近年来中考的热点是化简、求值的考查,旨在让学

简介：LetXbea4-valentconnectedvertex-transitivegraphwithodd-prime-powerorderp^κ（κ≥1）andletAbethefullautomorphismgroupofX.Inthispaper,weprovethatthestabilizerAvofavertexvinAisa2-groupifp≠5，ora{2,3}-groupifp=5.Furthermore,ifp=5|Av|isnotdivisibleby3^2.Asaresult,weshowthatany4-valentconnectedvertex-transitivegraphwithodd-prime-powerorderp^κ(κ≥1）isatmost1-arc-transitiveforp≠5and2-arc-transitiveforp=5.

简介：ErdǒsandSósconjecturedin1963(see[1],Problem12in247)thateverygraphGonnverticeswithsizee(G)>1/2n(κ-1)containseverytreeTofsizek.Inthispaper,weprovetheconjectureforgraphswhosecomplementscontainnocyclesoflength4.