简介：Letfandgbedistributionsandletg_n=(g*δ_n)(x),whereδ_n(x)isacertainsequenceconvergingtotheDiracdeltafunction.Thenon-commutativeneutrixproductfogoffandgisdefinedtobethelimitofthesequence{fg_n},provideditslimithexistsinthesensethat

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简介：让A是unitalAF代数学(简单或非简单)并且让伪是A的自守。假定伪有某些Rokhlin性质，A是伪-简单。也假定有整数J鈮?1以便伪*0J=标志K0(A)。作者证明那A吗？伪？让tracial评价零。关键词Rokhlin性质-Tracial等级零-AF代数学2000苏布杰克特先生分类46L35-46L55工程由国家天赋支持了中国的科学基础(Nos.10771069，10671068)并且上海优先级大学教师学科(没有。B407)。

简介：Foraspecialclassofnon-injectivemapsonRiemannianmanifoldsanupperboundforthefractaldimensionofinvariantsetintermsofsingularvaluesofthetangentmapanddegreeofnon-injectivityisgiven.

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简介：AbilinearformfonanonassociativetriplesystemTissaidtobeinvariantifandonlyiff(,d)=f(a,)=f(c,)foralla,b,c,d∈T.(T,f)iscalledapseudo-metrictriplesystemiffisnon-degenerateandinvariant.Adecompositiontheoryfortriplesystemsandpseudo-metrictriplesystemsisestablished.Moreover,thefinite-dimensionalmetricLietriplesystemsarecharacterizedintermsofthestructureofthenon-degenerate,invariantandsymmetricbilinearformsonthem.

简介：Aninvestigationisdescribedforinstabilityproblemofflowthroughapipeofcircularcross-section.Asadisturbancemotion,weconsiderageneralnon-axisymmetricmode.Anassociatedamplitudeormodulationequationhasbeenderivedforthisdisturbancemotion.Thisequationbelongstoadiffusiontype.ThecoefficientofitcanbenegativewhileReynoldsnumberincreases,becauseofthecomplexinteractionbetweenmoleculardiffusionandconvection.Thenegativediffusivity,whenitoccurs,causesaconcentrationandfocussingofenergywithindecayingslugs,actingasaroleofreversingnaturaldecays

简介：ＮＥＷＲＥＳＵＬＴＳＯＮＴＨＥＥＸＰＯＮＥＮＴＩＡＬＳＴＡＢＩＬＩＴＹＯＦＮＯＮ－ＳＴＡＴＩＯＮＡＲＹＰＯＰＵＬＡＴＩＯＮＤＹＮＡＭＩＣＳ￥（郭宝珠，姚翠珍）ＧｕｏＢａｏｚｈｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉｊｉ...

简介：ＰＡＲＡＢＯＬＩＣＥＱＵＡＴＩＯＮＳＷＩＴＨＢＯＴＨＮＯＮ－ＣＯＮＶＥＸＩＴＹＮＯＮＬＩＮＥＡＲＩＴＩＥＳＡＮＤＳＴＲＯＮＧＤＥＧＥＮＥＲＡＣＹＹｉｎＪｉｎｇｘｕｅ（尹景学）（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＵｎｉｖｅｒｓｉｔ...

简介：Inthisstudy,aporousinsertedregenerativethermaloxidizer(PRTO)systemwasdevelopedfora125kWindustrialcopper-meltingfurnace,duetoitsadvantagesoflowNOxemissionsandhighradiantefficiency.Zirconiumdioxide(ZrO2)ceramicfoamswereplacedintothecombustionzoneofaregenerativethermaloxidizer(RTO).DifferentperformancecharacteristicsoftheRTOandPRTOsystems,includingpressuredrop,temperaturedistribution,emissions,andenergyefficiency,wereevaluatedtostudytheeffectsoftheporousinsertsonnon-premixedCH4combustion.ItwasfoundthatthePRTOsystemachievedasignificantreductionintheNOxemissionlevelandafuelsavingofapproximately30%comparedtotheRTOsystem.Itismostsuitableforaleancombustionprocessatanequivalenceratio<0.4withNOxandCOemissionlevelswithin0.002%-0.003%and0.001%-0.002%,respectively.

简介：Foranygivenpositiveintegerm,letXi,1≤i≤mbemindependentrandomvariableswithdistributionsFi,1≤i≤m.Whenallthesummandsarenonnegativeandatleastoneofthemisheavy-tailed,weprovethatthelowerlimitoftheratioP(∑i=1^mXi>x)/∑i=1^mFi(x)equals1asx→∞.Whenthesummandsarereal-valued,wealsoobtainsomeasymptoticresultsforthetailprobabilityofthesums.Besides,alocalversionaswellasadensityversionoftheaboveresultsisalsopresented.

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简介：ＮＯＮ－ＳＹＭＭＥＴＲＩＣＡＬＬＡＲＧＥＤＥＦＯＲＭＡＴＩＯＮＯＦＡＳＨＡＬＬＯＷＴＨＩＮＳＰＨＥＲＩＣＡＬＳＨＥＬＬＷａｎｇＸｉｎｚｈｉ（王新志）ＲｅｎＤｏｎｇｙｕｎ（任冬云）ＷａｎｇＬｉｎｘｉａｎｇ（王林祥）ＹｅｈＫａｉｙｕａｎ（叶开沅）（Ｇａｎ...

简介：Inthisarticle,itisshownthatthereexistsauniqueviscositysolutionoftheCauchyproblemforadegenerateparabolicequationwithnon-divergenceform.

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简介：Thispaperconcernswiththecoreofnonatomicgaxaesoffomaf(μ),whereμisanonatomicnonnegativemeasureandfisacontinuousconvexfunctiononthedomalnofμ.Themainresultofthispaperisthatthecoreofthegameisnotcompactunderthenormtopologyunlessthegameitselfisameasure.ThisshowsthelargenessofthecoreinasenseotherthanthatdefinedbySharkyforfinitecases.

简介：ItwassbownbyFormanekandSibleythatthegroupdeterminantcharacterizesafinitegroupGuptoisomorphism.HoehnkeandJohnson(independentlytheauthors-usinganargumentofManafield)showedthecorrespondingresultfork-characters,k=1,2,3.Thenotionofk-charactersdatesbacktoFrobenius.TheyaredeterminedbythegroupdeterminantandmaybederivedfromthecharactertableCT(G)providedoneknowsadditionallythefunctionsφk:G×…×G→C（G），（g1,…,gk)→Cg1…gk,whereC(G)={Cg,g∈G}denotesthesetofconjugacyclassesofG.Theobjectofthepaperistopresentcriteriaforfinitesgroups(morepreciselyforsolublegroupsGandHwhicharebothsemi-directproductsofasimilartype)when1.GandHhaveisomorphicspectraltables(i.e.,theyformaBrauerpair),2.GandHhaveisomorphictableofmarks(inparticulartheBurnsideringsareisomorphic),3.GandHhavethesame2-characters.Usingthistheauthorscoustructtwonon-isomorphicsolublegroupsforwhichallthesethreerepresentation-theoreticalinvariantscoincide.

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.