简介:Afacilesyntheticroutetotwoseco-eudesmane,4,5-dioxo-10-epi-4,5-seco-γeudesmane(1)and4,5-dioxo-10-epi-4,5-seco-γ-eudesmol(2)from(+)-dihydrocarvonehasbeendescribed.Avoidingexpensivereagents,thishighlyeconomicmethodespeciallysuitsforthesynthesisof4,5-seco-eudesman-typeandophianon-typesesquiterpeneswithadoublebondatposition11and12.
简介:AbriefsurveyofformerandrecentresultsonHuber'sminimaxapproachinrobuststatisticsisgiven.TheleastinformativedistributionsminimizingFisherinformationforlocationoverseveraldistributionclasseswithupper-boundedvariancesandsubrangesarewrittendown.TheseleastinformativedistributionsarequalitativelydifferentfromclassicalHuber'ssolutionandhavethefollowingcommonstructure:(i)withrelativelysmallvariancestheyareshort-tailed,inparticularnormal;(ii)withrelativelylargevariancestheyareheavytailed,inparticulartheLaplace;(iii)theyarecompromisewithrelativelymoderatevariances.TheseresultsallowtoraisetheefficiencyofminimaxrobustproceduresretaininghighstabilityascomparedtoclassicalHuber'sprocedureforcontaminatednormalpopulations.Inapplicationtosignaldetectionproblems,theproposedminimaxdetectionrulehasprovedtoberobustandclosetoHuber'sforheavy-taileddistributionsandmoreefficientthanHuber'sforshort-tailedonesbothinasymptoticsandonfinitesamples。
简介:Thispaperdealswiththecombinationofpointphononandphasonforcesappliedintheinteriorofinfiniteplanesandhalf-planesof1Dquasicrystalbi-materials.Basedonthegeneralsolutionofquasicrystals,aseriesofdisplacementfunctionsareadoptedtoobtainGreen'sfunctionsforinfiniteplanesandbi-materialplanescomposedoftwohalf-planesintheclosedform,whenthetwohalf-planesaresupposedtobeideallybondedortobeinsmoothcontact.Sincethephysicalquantitiescanbereadilycalculatedwithouttheneedofperforminganytransformoperations,Green'sfunctionsareveryconvenienttobeusedinthestudyofpointdefectsandinhomogeneitiesinthequasicrystalmaterials.
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简介:IntroductionInthepastseveralyears,muchresearchworkhasbeendoneforthesynthesisofC-fusedbicyclo-β-lactamcompoundsandaconcise“DoubleAnnulation”procedurehasbeendeveloped.Theβ-lactamringisformedbytheclassicalStaudingerreaction[1—3]betweenα-(alkylthio)acylchlorideandanequivalentα,β-unsaturatedimine.Thesulfurringissubsequentlyfusedontotheβ-lactamunitbymeansofahalogen-promotedheterocyclizationprocess[4—6].ThisprocedurewasappliedtothesynthesisofpenemasillustratedinFig.1.TheobtainedX-penemsareakindofimportantintermediatesforsynthesizingaseriesofβ-lactamcompounds,forexample,theyarecarboxylatedbycouplingreactionsontheCatomwhichislinkedtohalagen,formingpenem[7].Animportantpurposeintheresearchfieldistoprobeintonewβ-lactammedicines.
简介:In1929,AmericanastronomerHubblefirstdiscoveredthattherecessionalvelocityofagalaxyincreaseswithitsdistancefromtheearth,andthereforeputforwardHubble’slaw.ItisconsideredthefirstobservationalbasisfortheexpansionoftheuniverseandtodayservesasoneofthepiecesofevidencemostoftencitedinsupportoftheBigBangmodel.SincethentheastrophysicscommunityhasbelievedthattheuniverseisinaconstantrateofexpansionuntilSaulPermutter,BrianPaulSchmitandAdamGuyRieesdiscoveredtheacceleratingexpansionoftheuniversethroughobservationofseveraldozendistantsupernovasin1998,whothenwontheNobelPrizeinPhysics2011.Buthumanstillcannotcompletelyexplainthephenomenonthattheuniverseisexpandingatanever-acceleratingrate.Thustheauthorofthispaperstudiedtheoriginandevolutionofgalaxiesagain,andrevealedthestructureofgalaxyandprovedHubble’slaw,thenrevealedthetruthabouttheexpansionoftheuniverseaswellasdarkmatteranddarkenergy.
简介:Bothenantiomersofdenopamineweresynthesizedusingmicrobial-chemicalapproachviabioreductionof1-(acetoxyphenyl)ketone4(R=CH2C1)and5(R=CO2Et)withfungusGeotrichumsp.G38.
简介:ForEl-Nabulsi’sfractionalBirkhoffsystem,Meisymmetryperturbation,thecorrespondingMei-typeadiabaticinvariantsandNoether-typeadiabaticinvariantsareinvestigatedinthispaper.Firstly,basedonEl-NabulsiBirkhofffractionalequations,MeisymmetryandthecorrespondingMeiconservedquantity,NoetherconservedquantitydeducedindirectlybyMeisymmetryarestudied.Secondly,Mei-typeexactinvariantsandNoether-typeexactinvariantsaregivenonthebasisofthedefinitionofadiabaticinvatiant.Thirdly,Meisymmetryperturbation,Mei-typeadiabaticinvariantsandNoether-typeadiabaticinvariantsforthedisturbedEl-Nabulsi’sfractionalBirkhoffsystemarestudied.Finally,twoexamples,Hojman-UrrutiaproblemforMei-typeadiabaticinvariantsandanotherfortheNoether-typeadiabaticinvariants,aregiventoillustratetheapplicationoftheresults.
简介:Ithasbeenwellknownthatfluorinatedpolyurethanesexhibituniquelylowsurfaceenergy,biocompatibilityandbiostability,thermalandoxidativestabilityandnonstickingbehavior.Consequently,thesepolymershaveattractedconsiderableinterest.However,themechanicalpropertiesoffluorinatedpolyurethanesusuallydeclinewithincreasingfluorinecontents.Theblendingoffluorinatedpolyurethaneswithnormalpolyurethanewascarriedouttoachievebalancedmechanicalandsurfaceproperties.Itwasfoundthatpolyurethanewithgoodmechanicalpropertiesandlowsurfaceenergycanbeobtainedbyaddingasmallamountoffluorinatedpolyurethane.Thefluorinatedsidechainscaneasilymigratetouppermostsurfacesoftheblendsuntillthefluorinelevelatthesurfacebecomesalmostsaturated.Ithasbeenshownfromcontactangle,XPSandAFMmeasurementsthatonlyaslittleas0.34wt%offluorinelevelisenoughtoproduceasurfacesaturatedwithfluorine,andthefluorinelevelattheuppermostsurfaceisonehundredtimeshigherthanthatintheblendbulk.Thefinaloutersurfacestructuresofthepolyurethaneblendwereindependentofthecontentofthefluorinatedpolyurethaneintheblendsduetothesurfacessaturatedbyfluorine.
简介:Amathematicalmodelofapredator-preymodelwithIvlev'sfunctionalresponseconcerningintegratedpestmanagement(IPM)isproposedandanalyzed.Weshowthatthereexistsastablepest-eradicationperiodicsolutionwhentheimpulsiveperiodislessthansomecriticalvalues,Furthermore,theconditionsforthepermanenceofthesystemaregiverl.Byusingbifurcationtheory,weshowtheexistenceandstabilityofapositiveperiodicsolution.Theseresultsarequitedifferentfromthoseofthecorrespondingsystemwithoutimpulses.Numericalsimulationshowsthatthesystemweconsiderhasmorecomplexdynamicalbehaviors.Finally,itisprovedthatIPMstrageyismoreeffectivethantheclassicalone.