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简介：Theaimofthisexpositionistoprovideadetaileddescriptionoftheuseofcombinatorialalgebrainquantumfieldtheoryintheplanarsetting.ParticularemphasisisplacedontherelationsbetweendifferenttypesofplanarGreen＇sfunctions.TheprimaryobjectisaHopfalgebrathatisnaturallydefinedonvariablesrepresentingnon-commutingsources,andwhosecoproductsplitsintotwohalf-coproducts.Thelattergiverisetothenotionofanunshuffiebialgebra.ThissettingallowsadescriptionoftherelationbetweenfullandconnectedplanarGreen＇sfunctionstobegivenbysolvingasimplelinearfixedpointequation.Wealsoincludeabriefoutlineoftheconsequencesofourapproachintheframeworkofordinaryquantumfieldtheory.

简介：隐藏的对称和一个无限的集合广告5S5上的格林Schwarz超弦的非局部的保存水流被Bena等指出了。在这篇论文，我们证明在MaurerCartan方程和运动的方程之间双的农夫在格林Schwarz超弦的moduli空格给隐藏的对称。因此由扭曲的转变vielbeins，我们能表示纸的水流[我。Bena，J。Polchinski，和R。Roiban，Phys。加快。D69(2004)046002]作为宽松的连接由一唯一光谱参数。

简介：Thispaperdealswiththecombinationofpointphononandphasonforcesappliedintheinteriorofinfiniteplanesandhalf-planesof1Dquasicrystalbi-materials.Basedonthegeneralsolutionofquasicrystals,aseriesofdisplacementfunctionsareadoptedtoobtainGreen'sfunctionsforinfiniteplanesandbi-materialplanescomposedoftwohalf-planesintheclosedform,whenthetwohalf-planesaresupposedtobeideallybondedortobeinsmoothcontact.Sincethephysicalquantitiescanbereadilycalculatedwithouttheneedofperforminganytransformoperations,Green'sfunctionsareveryconvenienttobeusedinthestudyofpointdefectsandinhomogeneitiesinthequasicrystalmaterials.

简介：Thegreenlong-after-glowluminescencefromTb3+-dopedSr2SiO4phosphors,whicharesynthesizedbythehightemperaturesolidstatereactioninareductiveatmosphere,isobservedinthispaper.Theresultsshowthatunderultravioletexcitation,theobtainedphosphorsproduceanintensegreen-lighting-emissionfromtheTb3+,andthegreen-lightinglongafter-glowluminescencerelatedtoTb3+canlasthalfanhouraftertheirradiationsourcehasbeenremoved.Moreover,theeffectsofco-dopingLi+,Dy3+,Er3+,Gd3+,andYb3+withTb3+onthedecaypropertiesandthermoluminescencepropertiesareinvestigatedtoconfirmthelong-after-glowmechanism.

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简介：Facileproductionofhighqualityactivatedcarbonsfrombiomassmaterialshasgreatlytriggeredmuchattentionpresently.Inthispaper,aseriesofinterconnectedporouscarbonmaterialsfromlotusrootshellsbiomassarepreparedviasimplepyrolysisandfollowedbyaKOHactivationprocess.Thepreparedcarbonsexhibithighspecificsurfaceareasofupto2961m~2/gandlargeporevolume～1.47cm3/g.Inaddition,theresultantporouscarbonsservedaselectrodematerialsinsupercapacitorexhibithighspecificcapacitanceandoutstandingrecyclingstabilityandhighenergydensity.Inparticular,theirspecificcapacitanceretentionwasalmost100%after10500cyclesatacurrentdensityof2A/g.Remarkabely,theimpactofthetailoredspecificsurfaceareasofvariouscarbonsamplesontheircapacitiveperformancesissystematicallyinvestigated.Generally,itwasbelievedthatthehighly-developedporosityfeatures(includingsurfaceareasandporevolumeandporesize-distributions),togetherwiththegoodconductivityofactivatedcarbonspecies,playakeyroleineffectivelyimprovingthestorageenergyperformancesoftheporouscarbonelectrodematerialsinsupercapacitor.

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