简介:LetGbeap-group(poddprime)andletX=Cay(G,S)bea4-valentconnectedCayleygraph.ItisshownthatifGhasnilpotentclass2,thentheautomorphismgroupAut(X)ofXisisomorphictothesemidirectproductGRAut(G,S),whereGRistherightregularrepresentationofGandAut(G,S)isthesubgroupoftheautomorphismgroupAut(G)ofGwhichfixesSsetwise.HowevertheresultisnottrueifGhasnilpotentclass3andthispaperprovidesacounterexample.
简介:AnovelacrylicmonomerbearingaromaticetherealitygroupN-(p-phenoxy-phenyl)methacrylamide(MAPOA)wassynthesizedandpolymerized.ThefluorescencespectraofMAPOAanditspolymerwerestudied,showingthatthepolymerdisplaysastrongerfluorescencethanitsmonomeratthesamechromophoreconcentration.ThefluorescenceofP(MAPOA)wasquenchedbyaddingelectrondeficiencymonomerssuchasMMA,ANetc..Itisanotherexampleofshowingthe"fluorescencestructuralself-quenchingeffect"aswereportedpreviously,fromwhichitisdemonstratedagainthatthisphenomenonisnotanaccidentalonebutacommoneffectforacrylicmonomersbearingelecton-donatingchromophores.ThephotopolymerizationofANsensitizedbyMAPOAandP(MAPOA)wasstudied.Thekineticequationofthepolymerizationwasobtainedandrepresentedasfollows:Rp∝[MAPOA]0.38×[AN]0.78,Rp∝[P(MAPOA)]0.33×[AN]0.71TheoverallactivationenergiesweredeterminedtobeEa=24.22kJ/mol(MAPOA)andEa=26.31kJ/mol[P(MAPOA)]respectively.ThefluorescenceanalysisoftheresultedP(AN)showedthatthesensitizeralsoenteredintotheP(AN)chains.AmechanismoftheformationofachargetransfercomplexandfreeradicalinitiationwassuggestedforthephotopolymerizationofANsensitizedbyMAPOAandP(MAPOA).
简介:Inthispaper,westudytheexistenceofnontrivialsolutionsforthefollowingDirichletproblemforthep-Laplacian(p>1):whereΩisaboundeddomaininRn(A≥1)andf(x,u)isquasi-asymptoticallylinearwithrespectto|u|p-2uatinfinity.Recentlyitwasprovedthattheaboveproblemhasapositivesolutionundertheconditionthatf(x,s)/sp-1isnondecrcasingwithrespecttosforallx∈Ωandsomeothers.Inthispaper.byimprovingthemethodsintheliterature,weprovethatthefunctionalcorrespondingtotheaboveproblemstillsatisfiesaweakenedversionof(P.S.)conditioneveniff(x,s)/sp-1isn’tanondecreasingfunctionwithrespecttos,andthentheaboveproblemhasanontrivialweaksolutionbyMountainPassTheorem.
简介:对于给定的图H,若存在可图序列π的一个实现包含H作为子图,则称π为蕴含H-可图的.Gould等人考虑了下述极值问题的变形:确定最小的偶整数σ(H,n),使得每个满足σ(π)≥σ(H,n)的n项可图序列π=(d1,d2,…,dn)是蕴含H-可图的,其中σ(π)=∑di.本文刻划了蕴含K4+P2-可图序列,其中K4+P2是向致的一个顶点添加两条悬挂边后构成的简单图.这一刻划导出σ(K4+P2,n)的值.
简介:Themagnetoresistanceeffectofap–njunctionunderanelectricfieldwhichisintroducedbythegatevoltageatroomtemperatureisinvestigatedbysimulation.Asauxiliarymodels,theLombardiCVTmodelandcarriergenerationrecombinationmodelareintroducedintoadrift-diffusiontransportmodelandcarriercontinuityequations.Alltheequationsarediscretizedbythefinite-differencemethodandtheboxintegrationmethodandthensolvedbyNewtoniteration.Takingadvantageofthosemodelsandmethods,anabruptjunctionwithuniformdopingisstudiedsystematically,andthemagnetoresistanceasafunctionofdopingconcentration,SiO_2thicknessandgeometricalsizeisalsoinvestigated.Thesimulationresultsshowthatthemagnetoresistance(MR)canbecontrolledsubstantiallybythegateandisdependentonthepolarityofthemagneticfield.
简介:(连续)为电子结构的答案的计算的不同订单的有限元素近似在一些报纸被建议,这些途径的表演正在变得可估计并且现在很好被理解。在这份出版物,作者建议由联合有限元素网孔的精炼为完整潜力的电子结构计算扩大这discretization,在溶液随溶液主要是常规的区域的多项式近似的度的增加是很单个的的地方。近似性质的增加的这联合,做在一priori或一种posteriori方式,甚至当答案是单个的时,是著名的通常关于自由的度的数字生产最佳的指数的类型集中率。这里执行的分析在Hartree-Fock和Kohn假冒的问题的情况中支撑这个性质。
简介:Electromechanicalpropertyofap-typesingle-crystalsiliconnanoplateismodelledbyamicroscopicapproachwheretheholequantizationeffectandthespin-orbitcouplingeffectaretakenintoaccount.Thevisibleanisotropicsubbandstructuresarecalculatedbysolvingself-consistentlythestress-dependent6×6k·pSchrdingerequationwiththePoissonequation.Thestrongmixingamongheavy,light,andsplit-offholesisquantitativelyassessed.Theinfluencesofthethicknessandthetemperatureonthepiezoresistivecoefficientarequantitativelyinvestigatedbyusingtheholeconcentrationsandtheeffectivemassesfromthecomplexdispersionstructureofthevalencebandwithandwithoutstresses.Ourresultsshowthatthestressdeterminestheextenttowhichthebandismixed.Theholequantizationeffectincreasesasthethicknessdecreases,andthereforethevalencebandisstronglyreshaped,resultinginthesize-dependentpiezoresistivityofthesiliconnanoplate.Thepiezoresistivecoefficientincreasesalmost4timesasthethicknessreducesfromthebulkto3nm,exhibitingapromisingapplicationinmechanicalsensors.
简介:现有文献关于空间差异环境专利授权的最优合同基于固定费与可变费,而不是更一般的授权合同。针对这一问题,分析了厂商间的两部制最优专利授权策略。无论专利大小如何,授权合同同时包括固定费与可变费项,不授权不是最优的。专利对内部人的激励高于外部人。与专利发明之前比较,专利增加社会福利但不增加消费者剩余。