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:Atpresent,DifferentiatedteachingisveryusefulinteachingEnglish.ThisthesisistoexploretheusageofDIinvocationalcollegeEnglishteachingundertheCALLmode.60studentswereselectedtocompletetheproject.Andasaresult,thestudents’confidencehasdevelopedgreatlyaftertheDI.
简介:WeputforthDramaTheoryⅡ(DTⅡ)asaformalmultipleparticipantdecisionmakingframeworkthatcanbeusedtosystematicallymodelcomplexsecuritychallenges,andadvancethefieldofSustainableSecuritySystemsEngineering.DTⅡisdefinedasatheoryof'largeworld'pre-gamecommunicationandequilibriumselection.Whilegametheoretictoolshavebeenwidelyappliedtoresolveenvironmentalconflictsandpromoteglobalsecurity,traditionalgametheoryassumesthatdecisionmakers,options,andpreferencesarefixed.Amathematicaltreatmentofkeydramatheoreticconcepts(i.e.positions,intentions,doubtsanddilemmas)isprovided.Thedynamicsofthedramatheoreticprocessarediscussedandtheexpectedequilibriumsetisderived.Thefundamentaltheoremofdramatheoryisprovenandalltheoreticalresultsareappliedtopromotesustainablesecuritysolutions.ItisemphasizedthatDTⅡrepresentsaflexiblesystemsengineeringtechniquetoaddresstime-sensitive,multi-faceted,andcomplexmultipleparticipantnegotiations.
简介:摘要本文报道了Di-George综合征1例,该病较罕见。患儿男,5岁,因反复抽搐3年就诊,X线腕关节正侧位示符合3岁男孩骨龄,骨发育延迟。头颅CT示双侧半卵圆中心、基底核区、额枕叶及顶叶见多发结节状、条状钙化影,呈“八”字征,对称性分布,边界清,密度均匀,考虑甲状旁腺功能减退症。胸部CT示少许胸腺组织。基因染色体检查确诊为Di-George综合征。