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77 个结果
  • 简介:Softsettheoryhasarichpotentialapplicationinseveralfields.Asoftgroupisaparameterizedfamilyofsubgroupsandafuzzysoftgroupisaparameterizedfamilyoffuzzysubgroups.Theconceptoffuzzysoftgroupisthegeneralizationofsoftgroup.AbdulkadirAygunogluandHalisAygunintroducedthenotionoffuzzysoftgroupsin2009[1].Inthispaper,theconceptoflatticeorderedfuzzysoftgroupsanditsdualityhasbeenintroduced.Thendistributiveandmodularlatticeorderedfuzzysoftgroupsareanalysed.Theobjectiveofthispaperistostudythelatticetheoryoverthecollectionoffuzzysoftgroupinaparametricmanner.Somepertinentpropertieshavebeenanalysedandhenceestablisheddualityprinciple.

  • 标签: 模糊子群 对偶性 有序 模格 分配 对偶原则
  • 简介:这篇文章的目的是在theta系列上讨论symplectic转变法律并且为symplectic操作员的踪迹给一些明确的公式。

  • 标签: θ级数 偶对映射 轨迹公式 数学
  • 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.

  • 标签: GENERALIZED STEINER TRIPLE system CONSTANT weight
  • 简介:WestudythestructureofBernstein’sfirstsummableoperatorsandshowthattheycon-vergeuniformlytocontinuonsfunctionsonthespecialrealorthogonalgroupSO(n)inthispaper.Inaddition,wehavealsodiscussedtheapproximationdegreetoaclassoffunctionLipα(0<α≤1)onSO(n).

  • 标签: OPERATORS verge FIRST REAL UNIFORMLY kernel
  • 简介:ThedecompositionoftherepresentationsT0(v∈R)oreconsideredhere.ThePlancherelformulafortheuniversalcoveringgroupofSU(1,1)isalsodeduced.

  • 标签: 群落 广州
  • 简介:LetGbeap-seriesgroupandΩbeacompactsubgroupofG.Letλ(x,r)andλ,(x,r)beA-belp-poissontypekernelandproducttypekernelOnΩrespectively.Inthispaperwediscusstheap-proximationpropertiesofsuchkernels,givetheestimate5oftheirmoments,obtainthedirectandin-verseapproximationtheorems.

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  • 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.

  • 标签: 迷向群 自同构群 顶点可迁图 奇素幂阶 Cayley图
  • 简介:Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

  • 标签: 微分几何 非线性弹性 欧几里德空间 曲线 弱导出 Frenet方程
  • 简介:LetB(E,F)bethesetofallboundedlinearoperatorsfromaBanachspaceEintoanotherBanachspaceF,B+(E,F)thesetofalldoublesplittingoperatorsinB(E,F)andGI(A)thesetofgeneralizedinversesofA2B+(E,F).InthispaperweintroduceanunboundeddomainW(A,A^+)inB(E,F)forA2B+(E,F)andA^+2GI(A),andprovideanecessaryandsufficientconditionforT2W(A,A^+).Thenseveralconditionsequivalenttothefollowingpropertyareproved:B=A^+(IF+(T??A)A^+)??1isthegeneralizedinverseofTwithR(B)=R(A^+)andN(B)=N(A^+),forT2W(A,A^+),whereIFistheidentityonF.Alsoweobtainthesmooth(C¥)diffeomorphismMA(A^+,T)fromW(A,A^+)ontoitselfwiththefixedpointA.LetS=fT2W(A,A^+):R(T)\N(A^+)=f0gg,M(X)=fT2B(E,F):TN(X)R(X)gforX2B(E,F)g,andF=fM(X):8X2B(E,F)g.UsingthediffeomorphismMA(A^+,T)weprovethefollowingtheorem:SisasmoothsubmanifoldinB(E,F)andtangenttoM(X)atanyX2S.ThetheoremexpandsthesmoothintegrabilityofFatAfromalocalneighborhooldatAtotheglobalunboundeddomainW(A,A^+).Itseemstobeusefulfordevelopingglobalanalysisandgeomatricalmethodindifferentialequations.

  • 标签: GENERALIZED INVERSE ANALYSIS SMOOTH DIFFEOMORPHISM SMOOTH
  • 简介:Alooplessgraphonnverticesinwhichverticesareconnectedatleastbyaandatmostbybedgesiscalleda(a,b,n)-graph.A(b,b,n)-graphiscalled(b,n)-graphandisdenotedbyKbn(itisacompletegraph),itscomplementbyKbn.Anonincreasingsequencep=(d1,…,dn)ofnonnegativeintegersissaidtobe(a,b,n)graphicifitisrealizablebyan(a,b,n)-graph.Wesayasimplegraphicsequencep=(d1,…,dn)ispotentiallyK4—K2[K2-graphicifithasaarealizationcontaininganK4—K2[K2asasubgraphwhereK4isacompletegraphonfourverticesandK2[K2isasetofindependentedges.Inthispaper,wefindthesmallestdegreesumsuchthateveryn-termgraphicalsequencecontainsK4—K2[K2assubgraph.

  • 标签: GRAPH (a b n)-graph potentially GRAPHICAL SEQUENCES
  • 简介:有限制PX=sXP的矩阵方程AXB=E被考虑,在P是一个给定的Hermitian矩阵的地方令人满意的P[2]=我;s=±1。由P的eignvalue分解,抑制问题能相等地被转变到矩阵其系数包含相应特徵向量的矩阵方程的一个著名非强迫的问题,;因此抑制问题能以P的特徵向量被解决。一简单;由系数矩阵A的概括的逆的抑制问题的一般答案的没有特徵向量的公式;B被介绍。而且,有概括限制的矩阵方程的一个类似的问题被讨论。

  • 标签: 矩阵方程 线性代数 特征值分解 约束问题 存在条件
  • 简介:ANHARMONICANALYSISFOROPERATORSINTHECASEOFALOCALLYCOMPACTABELIANGROUP:F.ANDM.RIESZ THEOREMSYuShumo(于树模)(Dept.ofMath.,FudanUniv...

  • 标签: ABEL 树模
  • 简介:让Z/(p[e])是整数残余戒指模p[e]与p一个奇怪的素数;整数e≥3。为在Z/上的一个序列(p[e]),在各个能在Z/(p)上被认为是一个序列的地方,有唯一的p-adic分解,0≤i≤e1。让f(x)是在Z/上的一个原始多项式(p[e]);G′(f(x),p[e])所有原始序列的集合在Z/上由f(x)产生了(p[e])。为μ(x)∈Z/(p)[x]与deg(μ(x))≥2;ged(1+deg(μ(x)),p1)=1,设定

  • 标签: 整数残余环 线性连续序列 初始序列 单射
  • 简介:Inthisarticle,weestablishtheglobalstabilityofanendemicequilibriumofmulti-groupSIRepidemicmodels,whichhavenotonlyanexchangeofindividualsbetweenpatchesthroughmigrationbutalsocrosspatchinfectionbetweendifferentgroups.Asaresult,wepartiallygeneralizetherecentresultinthearticle[16].

  • 标签: 流行病模型 交叉感染 稳定性 SIR 补丁 迁移
  • 简介:WeprovideconvergenceresultsanderrorestimatesforNewton-likemethodsingeneralizedBanachspaces.TheideaofageneralizednormisusedwhichisdefinedtobeamapfromalinearspaceintoapartiallyorderedBanachspace.Convergenceresultsanderrorestimatesareimprovedcomparedwiththerealnormtheory.

  • 标签: ESTIMATES operators CONSCIOUS DERIVATIVE Operator HEIDELBERG
  • 简介:让p是一个奇怪的素数。在我们介绍的这份报纸,二次的线性p鈥揳lgebraQ1由合适改变Q的发电机获得了,在H鈭炩€搑ing系列的范畴的cohomology操作的同类的二次的代数学,并且仔细看在情况p=相似的商在cohomology上导致的地图2,结果是injective。因此,它的目标包含古典亚当斯的E2鈥搕erm光谱顺序作为subalgebra。对的明确的描述在Q上在合理假设下面被给是Koszul代数学。关键词Koszul代数学-代数学的Cohomology-亚当斯光谱顺序先生(2000)题目分类55S10-18G15-55T15

  • 标签: KOSZUL代数 代数上同调 Adams光谱序列 二次线性Fp-代数
  • 简介:Thispaperisconcernedwiththeproblemofabsolutestabilityforacontrolsystemwithseveralexecutiveelements.NecessaryandsufficientconditionsareobtainedfortheexistenceofLiapunovfunctionofLur’eformwithnegativesemi--definitederivative(i.e.V≤0).

  • 标签: concerned DERIVATIVE ABSOLUTE FORM proof LIAPUNOV
  • 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。

  • 标签: 素数 图表 次数成分 线性群
  • 简介:Problemsaboutdensityareremarkableinthetheoryofdegreesofunsolvability.Owingtotheirdifficultyfewresultshavebeenobtainedtillnow.Sacks1964showedthatther.e.degreesaredense;Fejer1980showedthatnonbrachingdegreesaredenseinther.e.degrees,thisisthefirstnontrivialdefinablesubsetofthedegreesknowntobedense.

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