简介:LetM1,M2besubmodulesofanalyticHilbertmoduleXonΩ(Cn)suchthatM1M2anddimM1/M2=k<∞.IfM2isanAF-cosubmodule,thenthecodimensiondimM1/M2ofM2inM1equalsthecardinalityofzerosofM2relatedtoM1bycountingmultiplicities.Thecodimensionformulahassomeinterestingapplications.Inparticular,theauthorcalculatesoutthedimensionofRudinquotientmodule,whichisraisedin[14].
简介:TheevaluationofcreepdamagesofCr-Mo-Vsteelusedinthegasturbineofpowerplanthasbeencarriedoutusingtheline-focus-beam(LFB)acousticmicroscopy.Thevelocityofleakysurfaceacousticwave(LSAW)propagatednearthespecimensurfacewasusedforthequantitativeevaluations,whichwasmeasuredbyLFBacousticmicroscopyusingthev(z)curveanalysismethod.IthasbeenshownthatwiththeincreaseofcreepdamagefractionofmetalmaterialtheLSAWvelocitydecreasesobviously,whichsuggeststhepossibilityofnondestructiveandquantitativeevaluationsofcreeddamagesinmetalmaterialsbyacousticmicroscopy.
简介:WeconstructaclassofintegrablegeneralizationofTodamechanicswithlong-rangeinteractions.ThesesystemsareassociatedwiththeloopalgebrasL(Cr)andL(Dr)inthesensethattheirLaxmatricescanberealizedintermsofthec=0representationsoftheaffineLiealgebrasCr(1)andDr(1)andtheinteractionspatterninvolvedbearsthetypicalcharactersofthecorrespondingrootsystems.WepresenttheequationsofmotionandtheHamiltonianstructure.Thesegeneralizedsystemscanbeidentifiedunambiguouslybyspecifyingtheunderlyingloopalgebratogetherwithanorderedpairofintegers(n,m).Itturnsoutthatdifferentsystemsassociatedwiththesameunderlyingloopalgebrabutwithdifferentpairsofintegers(n1,m1)and(n2,m2)withn2<n1andm2<m1canberelatedbyanestedHamiltonianreductionprocedure.Forallnontrivialgeneralizations,theextracoordinatesbesidesthestandardTodavariablesarePoissonnon-commute,andwheneithernorm≥3,thePoissonstructurefortheextracoordinatevariablesbecomessomeLiealgebra(i.e.theextravariablesappearlinearlyontheright-handsideofthePoissonbrackets).Inthequantumcase,suchgeneralizationswillbecomesystemswithnoncommutativevariableswithoutspoilingtheintegrability.
简介:Therearemoreandmorecountriestoakeanefforttothestudiesofvanadiumalloyforfusionapplication.NIFSinJapanhasrecentlydevelopedan80kgheatV4Cr4Tialloy(NIFS-heat2)aftertheproductionofa500kgscaleV4Cr4TiinU.S.severalyearsago.PropertyevaluationofthealloyhasbeenputintoaninternationalcollaborationprogramunderthecoordinationofIEA(InternationalEnergyAgency).SWIPhasjoinedthecollabrationonthehydrogenembrittlementresistanceevaluationofthealloyt.
简介:OnaccountoftheexcellentmechanicalpropertiesofCrNfilmsuchasgoodwearandcorrosionresistance,andoxidizationatamuchhighertemperature,CrNfilmhasbeendemonstratedasoneofthebestcoatingsforenlargingthebearingatpresent.However,steelworkinglifespanatpresentt.However,withthemoreincreasinglyaggressiveoftheworkingenvironmentofmechanicalcomponents,especiallyforbearingsteel,newcoatingtechnologieswithamorebetterpropertiesofthetreatedpartssuchaswearandcorrosionresistancearerequired.
简介:Twoseriesofmixedoxides,CoAlMandMgAlM(M=Cr,Mn,Fe,Co,Ni,Cu),werepreparedbycalciningtheircorrespondinghydrotalcite-likecompounds(HTLc).TheratioofMg:Al:M(orCo:Al:M)was3:1:1.ThecatalyticactivityofallsamplesforthereactionofNO+COwasinvestigated.TheresultsshowedthattheactivityofCoAlMwasmuchhigherthanthatofMgAlM.ThestructureandthepropertyofredoxwerecharacterizedbyXRDandH2-TPR.TheresultsindicatedthatonlyMgOphasewasobservedaftercalciningMgAlMhydrotalcites,andthetransitionmetalsbecamemorestable.Thespinel-likephaseappearedinallofCoAlMsamplesafterthecalcination,andthetransitionmetalswerechangedtobemoreactive,andeasilyreduced.TheactivitiesofthreeseriesofmixedoxidesCoAlCuobtainedfromdifferentpreparationmethods,differentratioofCo:Al:Cuandatdifferentcalcinationtemperatures,werestudiedindetailforproposingthemechanismofreaction.TheabilityofadsorptionofNOandCO