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.

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简介：令Vn=span{1,2,…,n},设函数f∈Lp[E,μ],1≤p<∞,在点p处定义一个最佳Lp逼近算子τ∫（p）。记Nf（p）=∥f-τ∫（p）∥p=inf/Q∈Vn∥f-Q∥po本文证明了Nf（p）/[μ（E）]l/p是p的单调增加且有界的函数。如果f∈L∞[E,μ],则存在τ∫（∞）∈Vn,使得∥f-τ∫（∞）∥∞=inf/Q∈Vn∥f-Q∥∞,并且给出了最佳逼近值。

简介：GivenacontinuousfunctionfdefinedontheunitcubeofRnandaconvexfunctiont,t（0）-0,t（x）>0,forx>0,weprovethatthesetofbestLt-approximationsbymonotonefunctionshasexactlyoneelementft,whichisalsoacontinuousfunction.Moreoverifthefamilyofconvexfunctions{t}t>0convergesuniformlyoncompactsetstoafunction0,thenthebestapproximationft→f0uniformly,ast→0,wherefoisthebestapproximationoffwithintheOrliczspaceL0Thebestapproxima-tions{ft}areobtainedaswellasminimizingintegralsortheLuxemburgnorm

简介：AcharacteristicoftheextendedCarlesonmeasureexpressedbythederivativesofLpfunctionsinRn+1+isobtained.

简介：让Sq-1，q≥2，联合起来的范围的表面在欧几里德几何学的spaceRq，f(x)∈Lp(Sq-1)，f(x)≥0，f吗？0，1≤p≤+∞。然后，它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f，吗δ)Lp=sup_(0S_t(f，μ)='1/(|S~(q-2)|sin~(2λ)t)∫'连续性ofmoduli‖S_t(f)-f‖Lp>

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简介：证明了双诱导映射下L-Fuzzy子格群的像与逆像仍为L-Fuzzy子格群,基于L-Fuzzy集的层次结构特征,研究L-Fuzzy子格群的同态,给出了它们的性质.

简介：让L~p(Ω，H~n)为海森堡显示地图的L~p空间组目标。在这篇论文，一些新性质为空间L~p被获得(Ω，H~n)。

简介：在这份报纸，我们学习等轴的延期问题并且显示出那在Lp的联合起来的范围之间的每surjectiveisometry(???????D

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：Inthispaper,thenotionofL-Rcrossedcoproductisintroducedasaunifiedap-proachforsmashcoproducts,crossedcoproductsandL-RsmashcoproductsofHopfalgebras.AdualitytheoremforL-Rcrossedcoproductisproved.

简介：Anewbiflavonoid,stelleranol,wasisolatedfromtherootsofStellerachamaejasmeL..ItsstructurewasdeterminedbytheanalysisofMSandNMRdata,especially2DNMRspectra.

简介：AdsorptionpropertiesofL-histidineonactivecarbonwerestudiedinthepaper,whichareaffectedbythemainparameters,suchasthequantitypercentofactivecarbon,pHvalueofthesolution,thetimeofadsorptionequilibriumandadsorptiontemperature.TheresultsindicatethatadsorptionequilibriumtimeofL-hisonactivecarbonisabout80minutes.Withtheincreasingofthequantitypercentofactivecarbon,theadsorbanceofL-hisdecreasessharply,andincreaseslighterafterthat.Whenthequantitypercentofactivecarbonis10%,theadsorbancereachestheminimum.pHvalueofsolutionandextractiontemperaturehavegreataffectionontheadsorption.WhenthepHvalueishigherorlowerthanthepIofL-his,theadsorbanceissmall,evenzero.Itisproventhattheexperimentalequilibriumdatawhichareobtainedundertheconditionsof80℃andpH=1.0,arefittedwiththeFreundlichequation:q=2.5914c0.8097.TheresultscanprovidecertainreferencesinL-hisadsorptionprocessofindustrialoperation.

简介：AnewlayeredCu-basedoxychalcogenideBa3Fe2O5Cu2S2hasbeensynthesizedanditsmagneticandelectronicpropertieswererevealed.Ba3Fe2O5Cu2S2isbuiltupbyalternativelystacking[Cu2S2]2-layersandironperovskiteoxide[（FeO2）（BaO）（FeO2）]2-layersalongthecaxisthatareseparatedbybariumionswithFe3+fivefoldcoordinatedbyasquare-pyramidalarrangementofoxygen.Fromthebondvalencearguments,weinferredthatinlayeredCuCh-based（Ch=S,Se,Te）compoundsthe+3cationinperovskiteoxidesheetprefersasquarepyramidalsite,whilethelowervalencecationprefersthesquareplanarsites.Thestudiesonsusceptibility,transport,andopticalreflectivityindicatethatBa3Fe2O5Cu2S2isanantiferromagneticsemiconductorwithaNe′eltemperatureof121Kandanopticalbandgapof1.03eV.Themeasurementofheatcapacityfrom10Ktoroomtemperatureshowsnoanomalyat121K.TheDebyetemperatureisdeterminedtobe113K.TheoreticalcalculationsindicatethattheconductionbandminimumispredominantlycontributedbyO2pand3dstatesofFeionsthatantiferromagneticallyarrangedinFeO2layers.TheFe3dstatesarelocatedatlowerenergyandresultinanarrowbandgapincomparisonwiththatoftheisostructuralSr3Sc2O5Cu2S2.

简介：在这份报纸，在范围的稳定的homotopy组的homotopy元素的一个新家庭由n2m5and3s代表了5and3s

简介：Weproveseveralinequaliesforsymmetricpostivesemidefinite,generalMmatricesandinverseM-matriceswhicharegeneralizationoftheclassicalOppenheim'sInequalityforsymmetricpositivesemidefinitematrices.

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简介：TheauthorfirstreviewstheclassicalKorninequalityanditsproof.FollowingrecentworksofS.Kesavan,P.Ciarlet,Jr.,andtheauthor,itisshownhowtheKorninequalitycanberecoveredbyanentirelydifferentproof.ThisnewproofhingesonappropriateweakversionsoftheclassicalPoincar'eandSaint-Venantlemma.Infine,bothproofsessentiallydependonacruciallemmaofJ.L.Lions,recalledatthebeginningofthispaper.

简介：TheextendedcanonicalNoetheridentitiesandcanonicalfirstNoethertheoremderivedfromanextendedactioninphasespaceforasystemwithasingularLagrangianareformulated.UsingthesecanonicalNoetheridentities,itcanbeshownthattheconstraintmultipliersconnectedwiththefirst-classconstraintsmaynotbeindependent,soaquerytoaconjectureofDiracispresented.BasedonthesymmetrypropertiesoftheconstrainedHamiltoniansysteminphasespace,acounterexampletoaconjectureofDiracisgiventoshowthatDirac'sconjecturefailsinsuchasystem.WepresenthereadifferentwayratherthanCawley'sexamplesandother'sonesinthatthereisnolinearizationofconstraintsintheproblem.Thisexamplehasafeaturethatneithertheprimaryfirst-classconstraintsnorsecondaryfirst-classconstraintsaregeneratorsofthegaugetransformation.