简介：在这篇论文，象D-B-preinvexity的如此的新定义，strictlyD-B-preinvexity并且明确地，为珍视向量的地图砰的D-B-preinvexity第一被介绍。然后，D-B-preinvex地图砰的一个足够的条件被显示出。然后在之间的关系明确地-D-B-preinvexity并且严格地，D-B-preinvexity被讨论。最后，D-B-preinvex类型地图砰的一些性质被给。

简介：LetFbeafieldofcharacteristiczero.Wn=F[t(+1/2),t(+1/2),...,t(+1/n)]δ/δt1+...+F[t(+1/2),t(+1/2),...,t(+1/n)]δ/δtnistheWittalgebraoverF,Wn+=F[t1,t2...,tn]δ/δt+...+F[t1,t2...,tn]δ/δtnisLieshbalgebraofWn.ItiswellknownbothWnandWn+aresimpleinfinitedimensionalLiealgebra.InZhao'spaper,itwasconjecturedthatEnd(Wn^+)-{0}=Aut(Wn^+)anditwasprovedthatthevalidityofthisconjectureimpliesthevalidityofthewell-knownJacobianconjecture.Inthisshortnote,wechecktheconjectureaboveforn=1.WeshowEnd(W1^+)-{0}=Aut(W1^+).

简介：TheLiealgebraofderivationsofrationalfunctionfieldC(t)isC(t)d/dtTheautomorphismgroupofC(t)iswellknownastobeisomorphictotheprojectivelineargroupPGL(2,C).InthisshortnoteweprovethateveryautomorphismofC(t)d/dtcanbeinducedinanaturalwayfromanautomorphismofC(t).

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简介：Itisprovedthatfork≥71,thecircumferencec(G)ofa3-connectedk-regulargraphGonnverticesisatleastmin{|G|,3k+5}.Thisresultisessentiallybestpossible.

简介：运用灰色系统理论建立了我国医药产业R＆D投入灰色预测模型,并进行了预测分析,提出了加大我国医药产业R＆D投入的多元化投资体系.

简介：Earlyin1904,Hadamard[1]showedthescaleimplicitfunctiontheoremoffinitedimensions.Thenitwasgeneralizedtoinfinitedimensions.Inthispaperanewproofofthistheoremisgivenandtheuniqueexistenceoftheperiodicsolutionforaclassofordinarydifferentialequationsystemsatresonanceisobtained.

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