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简介：<正>InthispaperitisprovedthatforallcompletelydistributivelatticesL.thecategoryofL-fuzzifyingtopologicalspacescanbewmbeddedinthecategoryofL-topologicalspaces(stratifiedChang-Goguenspaces)asasimultaneouslybireflectiveandbicoreflectivefullsubcategory.

简介：ThispaperisdevotedtoproblemsstatedbyZ.ZhouandF.Liin2009.Theyconcernrelationsbetweenalmostperiodic,weaklyalmostperiodic,andquasi-weaklyalmostperiodicpointsofacontinuousmapfanditstopologicalentropy.Thenegativeanswerfollowsbyourrecentpaper.Butforcontinuousmapsoftheintervalandothermoregeneralone-dimensionalspaceswegivemoreresults;insomecasestheanswerispositive.

简介：AcommutativeringRiscalledextendingifeveryidealisessentialinadirectsummandofRR.Thefollowingresultsareproved:(1)C(X)isanextendingringifandonlyifXisextremelydisconnected;(2)Spec(R)isextremelydisconnectedandRissemiprimeifandonlyifRisanonsingularextendingring;(3)Spec(R)isextremelydisconnectedifandonlyifR/N(R)isanextendingring,whereN(R)consistsofallnilpotentelementsofR.Asanapplication,itisalsoshownthatanyGelfandnonsingularextendingringisclean.

简介：Ｔｏｒｓｉｏｎ，　Ｔｏｐｏｌｏｇｉｃａｌ　Ｄｅｆｅｃｔ　ａｎｄ　Ｌｉｎｋｅｄ　ＬｏｏｐｓＴｏｒｓｉｏｎ，ＴｏｐｏｌｏｇｉｃａｌＤｅｆｅｃｔａｎｄＬｉｎｋｅｄＬｏｏｐｓ￥ＬｉＸｉｇｕｏＴｈｅｔＱｐｏｌｏｇｉｃａｌａｎｄｐｈｙｓｉｃａｌｍｅａｎｓｏｆｔｏ...

简介：Inthispaper,wediscussthetopologicalstructuresofthevortexfilamentsandvortextubeswithanexactsolutionofastraightspiralvortextube.Wefindthattherearesomeconfusionsaboutthecalculationofthehelicitiesofaknottedvortexfilamentandsomelinkedvortexfilamentsbyusingdifferentmethods.Weexplainhowtounifythesemethodsandgivetherightresults.

简介：Letλandμbesequencespacesandhaveboththesigned-weakglidinghumpproperty,(λ，μ)thealgebraoftheinfinitematrixoperatorswhichtransformλintoμ.Inthispaper,itisprovedthatifλandμareβ-spacesandλ^βand,μ^βhavealsothesigned-weakglidinghumpproperty,thenforanypolartopologyτ,((λ,μ),τ)isalwayssequentiallycompletelocallyconvextopologicalalgebra.

简介：Aprocedureforreanalysisofvariousstructuressubjectedtovarioustopologicalmodifi-cationsispresented.Theprocedureisbasedontheresultsofasingleexactanalysisandthefactoriza-tionofthestiffnessmatrixofinitialstructures.Itissuitableforthecaseofadditionofjoints,wherethenumberofthedegreesoffreedomisincreased.Themethoddealswiththestiffnessmatrixofstruc-turesdirectly,soitcanbeusedwithageneralfiniteelementsystem.Itisshownthattheproposedap-proximationmethodismosteffectiveintermsofaccuracy,efficiency,andeaseofimplementation.

简介：让B(R~n)是所有nxn的集合真实矩阵，S_r有等级r，0鈮?r鈮?n，和S_r~#的所有矩阵的集合弧的数字S_r的明智的连接部件。它知道iswell那S_n=GL(R~n)是一个谎言组并且另外在有尺寸nxn的B(R~n)的光滑的亢奋的表面。但是我们还没单个矩阵S_r的几何建设怎么样知道那，0

简介：在这篇文章，为作为直径地小的电磁的包括的远地的察觉的一个拓扑的敏感框架被建立。在固定频率的电的远地的散布振幅的单个、多重的大小的盒子被考虑。算法的性能为定位包括以它的分辨率和敏感理论上被分析。关于测量和中等噪音的框架的稳定性被讨论。而且，signal-to-noise比率的量的结果被介绍。一些数字结果被介绍与单个、多重的大小说明建议框架的察觉能力。

简介：我们在拓扑的动力学在混乱理论的最近的发展给一篇摘要，集中于LiYorke混乱，Devaney混乱，分布混乱，积极的拓扑的熵，微弱地混合等等设定，并且他们的关系。

简介：WeproposeanalgorithmtoderivetautologicalrelationsfromPixtonrelations.Wecarryoutthisalgorithmexplicitlytoderivesomeresultsingenus0,1,2,3andanalyzethepossibilitytogeneralizetohighergenera.Asanapplication,someresultsaboutreconstructionofGromov-Witteninvariantscanbederived.

简介：Usingtime-dependentcompressiblelaminarNavier-Stokesequationswithafinitevolumemethodincorporatingathird-order-accuratediscretizationscheme,theflowstructuresaroundaslenderatcertainincidencesarenumericalsimulatedandtypicalcrossflowpatternsarepresented.Atincidence10°,thesevorticalconfigurationsaredifferentatdissimilaraxiallocationsthoughtheyaresymmetric.At35°,thesymmetricvorticalstructuresstillmaintainovertheslender,yettheirinteractionatafterbodyisintensethanthatattheforebodysincethetwovorticeshavefullydevelopeddownstream.Theunstabletopologicalstructureoftrajectoryofsaddle-to-saddlepointsandmultiplelimitcyclearefurtherdiscussedintopologicalstabilitytheory.Thesestructureseasilyproducebifurcationwithperturbation.Theresultssupporttheviewofhydrodynamicinstabilityofvorticesflowfield.

简介：拓扑的半金属是物质，传导和原子价乐队在点的一个有限数字在接触的三维的拓扑的状态，即，Weyl节点。拓扑的半金属在某些表面在Weyl节点和拓扑地保护的费密弧招待果浆弯曲的配对的单极和antimonopoles。我们在拓扑的半金属在量运输上考察我们的最近的工作，根据磁场的力量。在弱磁场，在弱反本地化效果导致的积极magnetoresistivity和与重要果浆弯曲有关的否定magnetoresistivity之间有比赛。我们为弱反本地化的magnetoconductivity建议一个恰当的公式。我们期望弱本地化可以被内部山谷的效果和相互作用效果导致，并且发生在double-Weyl半金属。为重要果浆弯曲在拓扑的半金属导致的否定磁致电阻，我们在搬运人密度上显示出否定磁致电阻的依赖。在强壮的磁场，在量限制，明确地，magnetoconductivity取决于混乱的散布潜力的类型和范围。高地的积极magnetoconductivity不能是chiral异例的引人注目的签名。为散布潜力并且半充满的远程的Gaussian，magnetoconductivity能在量限制是线性的。尽管状态的密度消失在那里，最小的传导性在Weyl节点被发现。

简介：Ｔｏｐｏｌｏｇｉｃａｌｎａｍｉｎｇｍｅｃｈａｎｉｓｍｉｎｆｅａｔｕｒｅ＿ｂａｓｅｄｍｏｄｅｌｉｎｇＪｕｎｊｕｎＷｕ，ＴｏｎｇｙａｎｇＷａｎｇ，ＸｉｎｆａｎｇＺｈａｎｇａｎｄＪｉｚｈｏｕＣｏｍｐｕｔｅｒＡｉｄｅｄＤｅｓｉｇｎＣｅｎｔｅｒ，ＨｕａＺｈｏｎ...

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简介：FlowfieldsaroundarotatingcircularcylinderinauniformstreamarecomputedusingalowdimensionalGalerkinmethod.ResultsshowthattheformationofaFopplevortexpairbehindastationarycircularcylinderiscausedbythestructuralinstabilityinthevicinityofthesaddlelocatedattherearofthecylinder.Forrotatingcylinderabifurcationdiagramwiththeconsiderationoftwoparameters,ReynoldsnumberReandrotationparameterα,isbuiltbyakinematicanalysisofthesteadyflowfields.

简介：Asamanifestationoftheunderlyingphysicalnature,quailtumoscillationswiththeappliedmagneticfield(B)areoneofthemostimportanttopicsincondensedmatterphysics.Theresearchhistorycanbetrackedto1930whenLevShubnikovandW.J.deHaasobservedShubnikov-deHaas(SdH)oscillationsinthemagnetoresistance(MR)ofbismuthcrystals.Sincethen,researchershaveobservedquantumoscillationsindiversematerials,includingmetals,metalliccompounds,semimetals,semiconductorsandeveninsulators,aswellasinartificialmesoscopicmicrostructures.Nowadays,quantumoscillationdetectedbymagnetotransportinvestigationhasbeenapowerfultooltodetectthephysicalpropertiesinsolid-statesystems.

简介：<正>Byusingφ-mappingmethod,wediscussthetopologicalstructureoftheself-dualitysolutioninJackiw-Pimodelintermsofgaugepotentialdecomposition.WesetuprelationshipbetweenChern-Simonsvortexsolutionandtopologicalnumber,whichisdeterminedbyHopfindexandBrouwerdegree.Wealsogivethequantizationoffluxinthisease.Then,westudytheangularmomentumofthevortex,whichcanbeexpressedintermsof,theflux.

简介：Todetectthelaserdopplersignal,theunknownsignalistrackedbytheknownsignalusingtheconceptoftopologicalcontravariance.TheunknowntopologicalspaceUandknownspaceMarefounded,andthentheunknownsignal'stransformationistrackeddynamicallyaccordingtothismappingrelationshipbetweenthetwospaces.Thesystemequationisobtainedbygradient-descentmethod,andtheconditionsofstabilityaregivenbyPoincarémapping.Theproposedmethodisappliedtomeasurethein-planedisplacementsignalofthesolid50mawayusinglaserdoppler,signal.Theresultprovesthatthemethodcandetectlaserdoppler.signalaccurately,itsrelativeerrorislessthan0.7%.