简介:Numericalestimatesforelectronsandmesonsparticle–antiparticlecreationfromvacuuminthepresenceofstrongelectromagneticfieldsarederived,usingthecompleteprobabilitydensityrelationofPopov’simaginarytimemethod(Popov,JETPLett.13,185(1971);Sov.Phys.JETP34,709(1972);Sov.Phys.JETP35,659(1972);PopovandMarinov,Sov.J.Nucl.Phys.16,449(1973);JETPLett.18,255(1974);Sov.J.Nucl.Phys.19,584(1974));(Popov,Phys.Let.A298,83(2002)),andwithintheframeworkofanexperimentalsetupliketheE144(Burkeetal.,Phys.Rev.Lett.79,1626(1997)).Theexistenceofcrossingpointamongpaircreationefficiencycurvesofdifferentphotonenergiesandtheroleofodd/evenmultiphotonordersintheproductionratesarediscussed.Finallyakindoftunabilityprocessbetweenthetwocreationprocessesisdiscussed.
简介:Usingfourβ-cyclodextrinderivatives,2,6-di-O-benzyl-3-O-heptanonyl-β-CD,2,6-di-O-benzyl-3-O-octanonyl-β-CD,2,3-di-O-benzyl-6-O-heptanonyl-β-CD,and2,3-di-O-benzyl-6-O-octanonyl-β-CD,aschiralstationaryphasesofcapillarygaschromatography(CGC),theenantiomersofSharplessepoxideswerewellseparated.Theenantiomerexcessvalues(e.e.%)ofsomechiralSharplessepoxideswerealsodeterminedsuccessfullyusingtheseCDs.
简介:AlinearizationattackontheKeyStreamGenerator(KSG)ofthemodifiedE0algorithmproposedbyHermelin[ProceedingsofICISC'99,SpringerLNCS1787,2000,17-29]isgiveninthispaper.TheinitialvaluecanberecoveredbyalinearizationattackwithO(260.52)operationsbysolvingaSystemofLinearEquations(SLE)withatmost220.538unknowns.FrederikArmknecht[CryptologyePrintArchive,2002/191]proposedalinearizationattackontheKSGofE0algorithmwith0(270.341)operationsbysolvinganSLEwithatmost224.056unknowns,sothemodificationproposedbyHermelinreducestheabilityofE0toresistthelinearizationattackbycomparingwiththeresultsofFrederikAnnknecht.
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.
简介:如果我问你:“知道宇宙三女生吗?”很多人一定会一脸茫然地摇头。可是,如果我问:“知道S.H.E吗?”嘿嘿,超红的女生偶像团体谁人不知,谁认不晓呀!其实呀,S.H.E就是宇宙三女生的终极完美版——Selina与Hebe、Ella分别代表温柔、自信与勇气,并且由这三个英文名字的第一个字母,串成一个有意义的英文单词。了解完S.H.E名字的由来,三个小女生的叽叽喳喳青春心事当然要同你快乐分享: