简介:为地k和二有限的组G和X,当G由组自守从权利对X起作用时,k空间(kXop)上有Hopf代数学结构*kG(看见定理2.1),把由DX双、表示的非平衡的量称为(G)。在这份报纸,DX(G)的一些Hopf代数学性质被给,在DX(G)上的当k代数学被讨论,看的DX(G)的表示类型,代数学结构和模块范畴被学习。自从非平衡的量的Hopf代数学结构,两倍DX(G)概括平常的量为有限的组G的两倍D(G),当一种特殊情况和DX(G)的通用R矩阵提供Yang-Baxter方程的更多的答案,关于在这份报纸的DX(G)的所有结果能也被用来描述D(G)。
简介:THECONTINUOUSCASTINGPROBLEMWITHNON-EQUILIBRIUMCONDITIONS¥(吴少华,刘祖汉)WuShaohua(Dept.ofAppl.Math.,WuhanUniv.ofHydraulicandElectri...
简介:让AAB(X)B(X)的subalgebra正在包含身份操作员我 ;并且幂等P ;。建议那,:A→A,:A→A是戒指epimorphisms并且在那里存在一些在XX上嵌套NN以便 (P)(X) and (P)(X) (P)(X) and (P)(X)是NN的重要元素。让AA包含在AlgN and : A→B(X)AlgN and : A→B(X)的一个操作员是的所有等级印射的添加剂。是否,被看那是在零个点可引出的(,),然后在那里存在添加剂(,)=derivation : A→B(X)(,)=derivation : A→B(X)以便(A)=(A)+(A)(I) for all A∈ A(A)=(A)+(A)(I) for all A∈ A。它也被看那是否是在零个点可引出的概括(,),然后,添加剂被概括(,)推导。而且由这结果的使用,添加剂印射(概括)在几巢代数学上的零个点可引出的(,),也被描绘。
简介:Byusingthenon-parametricleastsquaremethod,thestrongconsistentestimationsofdistributionfunctionandfailurefunctionareestablished,wherethedistributionfunctionF(x)afterlogisttransformationisassumedtobeapproximatedbyapolynomial.Theperformanceofsimulationshowsthattheestimationsarehighlysatisfactory.
简介:IfdμistheFouriertransformofasmoothmeasure,dμonthehypersphereSn-1(n≥2)thethereexistsaconstantCdependentonlyonnsuchthat|dμ(y)|≤C(1+|y|)-(n-1)/2forally∈Rn.Inthispaper,weshowthattheabovestatementisfalsefornon-smoothmeasures.AndwepresentthecorrespondingestimationsfartheFouriertransformsofcertainnon-smoothmeasuresonSn-1.
简介:Datacollectedonthesurfaceoftheearthoftenhasspatialinteraction.Inthispaper,anon-isotropicmixingspatialdataprocessisintroduced,andundersuchaspatialstructureanonparametrickernelmethodissuggestedtoestimateaspatialconditionalregression.Undermildregularities,sufficientconditionsarederivedtoensuretheweakconsistencyaswellastheconvergenceratesforthekernelestimator.Ofinterestarethefollowing:(1)Alltheconditionsimposedonthemixingcoefficientandthebandwidtharesimple;(2)Differentlyfromthetimeseriessetting,thebandwidthisfoundtobedependentonthedimensionofthesiteinspaceaswell;(3)Forweakconsistency,themixingcoefficientisallowedtobeunsummableandthetendencyofsamplesizetoinfinitymaybeindifferentmannersalongdifferentdirectioninspace;(4)However,tohaveanoptimalconvergencerate,fasterdecreasingratesofmixingcoefficientandthetendencyofsamplesizetoinfinityalongeachdirectiona
简介:Somespecificnon-isotropicJacobiapproximationsinmultiple-dimensionsareinvestigated,whichareusedfornumericalsolutionsofdifferentialequationsonvariousunboundeddomains.Theconvergenceofproposedschemesareproved.Someefficientalgorithmsareprovided.Numericalresultsarepresentedtoillustratetheefficiencyofthisnewapproach.
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简介:Thispaperdealwithoptimalcontrolproblemsforanon-stationaryStokessystem.Westudyasimultaneousdistributed-boundaryoptimalcontrolproblemwithdistributedobservation.Weprovetheexistenceanduniquenessofasimultaneousoptimalcontrolandwegivethefirstorderoptimalityconditionforthisproblem.Wealsoconsideradistributedoptimalcontrolproblemandaboundaryoptimalcontrolproblemandweobtainestimationsbetweenthesimultaneousoptimalcontrolandtheoptimalcontrolsoftheselastones.Finally,someregularityresultsarepresented.
简介:Thispaperconsiderstheexistenceandasymptoticestimatesofglobalsolutionsandfinitetimeblowupoflocalsolutionofnon-Newtonfiltrationequationwithspecialmediumvoidofthefollowingform:{ut/|x|^2-△pu=u^q,(x,t)∈Ω×(0,T),u(x,t)=0,(x,t)∈ЭΩ×(0,T),u(x,0)=u0(x),u0(x)≥0,u0(x)全不等于0,where△pu=div(|△↓u|^p-2△↓u),ΩisasmoothboundeddomaininR^N(N≥3),0∈Ω,2
简介:<正>Inthisnote.wewillshowthatnononuniformlatticeofSO(3,1)canbethefundamentalgroupofaquasi-compactKhlermanifold.Thus,combiningwiththeresultin[1].onegetsthatanonuniformlatticeinSO(n,1)(n≥3)cannotbeπ1ofanyquasi-compactKhlerianmanifold.
简介:LetCdenotethesetofallk-subestsofann-set.AssumeAlohtaininCa,andAlohtainin(A,B)iscalledacross-2-intersectingfamilyif|AB≥2forandA∈A,B∈B.Inthispaper,thebestupperboundsofthecardinalitiesfornon-emptycross-2-intersectingfamillesofa-andb-subsetsareobtainedforsomeaandb,AnewproofforaFrankl-Tokushigetheorem[6]isalsogiven.
简介:Thepurposeofthispaperistoinvestigatetheproblemofapproximatingfixedpointsofnon-Lipschitizianasymptoticallypseudocontractivemappingsinanar-bitraryrealBanachspacebythemodifiedIshikawaiterativesequenceswitherrors.