简介:Theground-stateandthermodynamicpropertiesofquantummixed-spinchainsof1/2-1/2-1-1and3/2-3/2-1-1areinvestigatedbyaquantumMonteCarlosimulationwiththeloop-clusteralgorithm.For1/2-1/2-1-1chain,wefindithastwophasesseparatedbyanenergy-gapvanishingpointintheground-state.For3/2-3/2-1-1chain,thenumericalresultsshowtwoenergy-gapvanishingpointsisolatedbydifferentphasesinitsground-state.Ourcalculationsindicatethatallthesegroundstatephasescanbeunderstoodbymeansofvalence-bond-solidpicture,andthethermodynamicbehavioratfinitetemperaturesiscontinuousasafunctionofparameterα=J2/J1.
简介:Inthispaper,thetwo-dimensionalMarcinkewiczintegralintroducedbySteinμ(f)(x)=(∫0x|∫|x-y|≤1|x-y|Ω(x-y)f(y)dy|2t-3dt)2isshowntobeofweaktype(1,1)andweightedweaktype(1,1)withrespecttopowerweight|x|"if-1<α<0,whereΩishomogeneousofdegree0.hasmeanvalue0andbelongstoLlog+L(S1).
简介:Thereactionof1-phenyl-3-methyl-4-benzoyl-2,5-dihydro-1H-pyrazol-5-one(PMBP)andmethyldithiocarbazate(mdtc)inmethanolresultsinformationofayellowcrystallinesolid,adductof1-phenyl-3-methyl-4benzoyl-2,5-dihydro-lH-pyrazol-5-oneandmethyldithiocarbazate.Whentheyellowsolidsweredissolvedinamixtureofmethanolandether(1:4),aredcrystal,whichisanoxidationproductoftheformer,wasobtainedbyallowingsolventtoevaporateforafewdaysatroomtemperature.TheX-rayanalysisoftheredcrystalindicatesthatitisanoveldisulfidewithaspecialstructurelikea“U”conformationinthesolidstate.
简介:In2014,theresearchersofTheoreticalPhysicsGroupatIMPhavecarriedouttheirresearchworkonnuclearphysics,heavyionphysicsandhadronphysics.Someimportantresultshavebeenobtained.Thethree-bodyforce(TBF)effectontheoff-shellbehavioroftheneutronandprotonmassoperatorsinasymmetricuclearmatterhasbeeninvestigatedwithintheframeworkoftheextendedBrueckner-Hartree-Fockapproach[1].Athighdensitieswellabovethenormalnuclearmatterdensity,theTBFisshowntoaffectsignificantlytheoff-shellehaviorofboththeprotonandneutronmassoperators.Thedensitydependenceofsymmetryenergyaroundtheuclearsaturationdensityhasbeenstudied[2].Anewapproachhasbeenproposedandappliedtodeterminetheymmetryenergycoefficientofheavynucleibasedontheavailableexperimentalnuclearmassesofheavynuclei.Theobtainedresultisadoptedtoanalyzethedensitydependenceofsymmetryenergyofnuclearmatteraroundtheaturationdensity.TheslopeparameteratthesaturationdensityisdeterminedtobeL=(50.515.5)MeV.
简介:α-Aminonitrileswerepreparedefficientlyfromanodiccyanationofα-aminoester.Theeffectofdifferentsolventsandelectrolyteswasstudied.Theotherbyproductswereanalyzed.
简介:Anewspectralproblemisproposed,andnonlineardifferentialequationsofthecorrespondinghierarchyareobtained.Withthehelpofthenonlinearizationapproachofeigenvalueproblems,anewfinite-dimensionalHamiltoniansystemonR2nisobtained.Ageneratingfunctionapproachisintroducedtoprovetheinvolutionofconservedintegralsanditsfunctionalindependence,andtheHamiltonianflowsarestraightenedbyintroducingtheAbel-Jacobicoordinates.Atlast,basedontheprinciplesofalgebracurve,thequasi-periodicsolutionsforthecorrespondingequationsareobtainedbysolvingtheordinarydifferentialequationsandinversingtheAbel-Jacobicoordinates.
简介:随便取一个自然数,如果它是偶数,用2除它;如果它是奇数,将它乘3之后再加1,这样反复运算,最终必然得1.比如,取自然数N=6.6是偶数,先用2除,6÷2=3;3是奇数,要将它乘3之后再加1,3×3+1=10;按着上述法则往下做:10÷2=5;5×3+1=16;16÷2=8;8÷2=4;4÷2=2;2÷2=1.从6开始经历了3→10→5→16→8→4→2→1,最后得1.通过大量演算发现最后结果总是得1.于是数学家提出如下猜想:对于任一个自然数N,若N是偶数,就把它变成N2;若N是奇数,就把它变成3N+1.按照这个规则运算下去,最后必然得1.这个猜想到目前还没有人给予证明,不过日本东京大学的米田信
简介:将高山红景天多糖作用于转化生长因子β1(TGF-β1)诱导的A549细胞,观察细胞形态变化,MTT法测定其对细胞增殖的影响,WesternBlotting法及间接免疫荧光法测定细胞中间充质标志物Fibronectin-EDA(Fn-EDA)的表达变化.结果表明:高山红景天多糖可以抑制TGF-β1诱导的A549细胞凋亡;高山红景天多糖促进体外培养的TGF-β1诱导的A549细胞增殖;降低了TGF-β1诱导的A549细胞中Fn-EDA的表达;可以抑制TGF-β1诱导A549细胞向间充质细胞转化.研究结果显示高山红景天多糖可以明显改善体外诱导的肺组织细胞纤维化状态.
简介:系统的不确定和外部干扰是控制理论的主要敌手。最近二十年出现了一个新的对付不确定的控制方法称为自抗扰控制。本文旨在介绍一本这方面的新书:ActiveDisturbanceRejectionControlforNonlinearSystems:AnIntroduction,及其相关的背景。该书是一本自抗扰控制数学理论著作。为了引出本书的主要内容,我们扼要介绍了几种其他的对付系统不确定的控制方法,包括鲁棒H∞-控制、滑模控制、自适应控制以及内模原理,说明自抗扰控制的主要思想和与这些方法的异同之处。特别是指出了自适应控制、内模原理的估计和消除策略及其在自抗扰控制中的大规模应用。