简介：以Clifford代数为工具,讨论n维Minkowski空间的性质,得到n维Minkowski空间的Lorentz变换.

简介：本文用Clifford代数,导出了狭义相对论中的Lorentz变换。

简介：为一般Lorentz变换给出了一种新的形式简单四元数表示。其特点是所用四元数（Qu-acerniom）的分量要么是实数，要么是纯虚数。与以往的向量一张量表示和八元数表示（双四元数）相比，有其明显的优点。

简介：文中利用Clifford代数的双曲虚单位表述时空平面,给出时空平面cl1＋1上向量的双曲函数式,用于表述旋量群Spin（1,1）及其子群Spin＋（1,1）,进而导出时空平面的Lorentz变换.

简介：Inthecontextofquantuminformation,weinvestigateextensivelysomeimportantclassesofageneralformofatwo-qubitsystemunderLorentztransformation.ItisshownLorentztransformationcausesadecayofentanglementandconsequentlyinformationloses.Ontheotherhand,itgeneratesentangledstatesbetweensystemspreparedinitiallyinaseparablestates.ThepartialentangledstatesaremorerobustunderLorentztransformationthanmaximallyentangledstates.Thereforetherateofinformationloseislargerformaximumentangledstatescomparedwiththatforpartiallyentangledstates.

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简介：在这篇文章，在三维的Lorentz空间的类似的运动的性质被调查。另外，在速度之间的一些几何结果和在一个空间运动的一个点的加速向量被获得。给词调音：类似的运动；空间kinematics；Lorentzian几何学

简介：Inthispaper,weapplyfunctionparameterstorealinterpolationofLorentzOrliczmartingalespaces.SomenewinterpolationtheoremsareformulatedwhichgeneralizesomeknownresultsinLorentzspacesA_αintroducedbySharpley.

简介：Letf（x）∈C[-1,1],pn*（x）bethebestapproximationpolynomialofdegreentof（x）.G.Iorentzconjecturedthatifforalln,p2n*（x）=p2n+1*（x）,thenfiseven;andifp2n+1*（x）=p2n+2*（x）,po*（z）=0,thenfisodd.Inthispaper,itisprovedthat,undertheL1-norm,theLorentzconjectureisvalidconditionally,i.e.if（i）（1-x2）f（x）canbeextendedtoanabsolutelyconvergentTehebyshevsories;（ii）foreveryn,f（x）-p2n+1*（x）hasexactly2n+2zeros(or,inthearcondsituation,f（x）-p2n+2*（x）hasexaetly2n+3zeros),thenLorentzconjectureisvalid.

简介：Inthispaper,LorentzspaceoffunctionsofseveralvariablesandBesov’sclassareconsidered.WeestablishanexactapproximationorderofBesov’sclassbypartialsumsofFourier’sseriesformultipletrigonometricsystem.

简介：在这份报纸，作者首先给Orlicz-Lorentz空格的卷绕旋转的性质<潜水艇class=“a-plus-plus”>1，w并且<潜水艇class=“a-plus-plus”>2，局部地紧缩的可换群上的w。第二，作者为Orlicz-Lorentz空格的张肌产品作为功能空格获得具体表示1，w并且2，w并且从空间得到multipliers的空间1，w到空间M2*，w最后，作者讨论同类的性质Orlicz-Lorentz空间，wp，q。

简介：AchargedspacecraftissubjecttotheLorentzforcewhenitorbitsacentralbodywithamagneticfield.TheinducedLorentzforceprovidesanewmeanofpropellantlesselectromagneticpropulsionfororbitalcontrol.ModelingtheEarthmagneticfieldasatilteddipolethatco-rotateswiththeEarth,thispaperdevelopsanonlineardynamicalmodelthatdescribestherelativemotionoftheLorentzspacecraftaboutanarbitraryreferenceorbit.Basedontheproposeddynamicalmodel,feasibilityofLorentz-propelledrendezvouswithnorestrictionsontheinitialstatesisinvestigated.Therendezvousproblemisthenformulatedasanoptimalcontrolproblem,andsolvedwiththeGausspseudospectralmethod(GPM).Numericalsimulationssubstantiatethevalidityofproposedmodelandmethod,andresultsshowthatthepropellantlessrendezvousisachievedatbothfixedandfreefinaltime.

简介：InthispaperthepropagationofLorentz–GaussianbeamsinstronglynonlinearnonlocalmediaisinvestigatedbytheABCDmatrixmethod.Forthispurpose,anexpressionforfielddistributionduringpropagationisderivedandbasedonit,thepropagationofLorentz–Gaussianbeamsissimulatedinthismedia.Then,theevolutionsofbeamwidthandcurvatureradiusduringpropagationarediscussed.

简介：InthisnoteweconsiderWente’stypeinequalityontheLorentz-Sobolevspace.If▽f∈Lp1,q1（Rn）,G∈Lp2,q2（Rn）anddivG≡0inthesenseofdistributionwhere（1/p1）+（1/P2）=（1/q1）+（1/q2）=1,1

简介：BothexperimentalandnumericalinvestigationsontheflowpastacylinderundertheinfluenceofLorentzforce(electromagneticforce)wereconductedinanelectricallylow-conductingfluid.TheLorentzforceisappliedbothlocally,whollyandperiodicallyonthesurfaceofthecylinder,andtheircontroleffectsforflowseparationwereinvestigatedBothexperimentalandnumericalresultsshowthatLorentzforcecansuppresstheflowseparationwithLorentzforceappliedonbothlocalandwholesurfaceofthecylinder.However,whentheperiodicandoppositeLorentzforceadopted,thecylinderwakecannotbestabilized.

简介：本文旨在给出Banach空间值Hardy—Lorentz鞅空间的共轭空间的完全刻画．首先，对B值鞅引入了一类新的广义Lipschitz鞅空间及“原子鞅”的概念；其次，对B值Hardy-Lorentz鞅空间建立了“原子鞅”的分解定理；最后，以此为工具证明了其共轭空间是广义Lipschitz鞅空间．所得结论将已有的相应结果由实值鞅推广到Banach空间值鞅的情况．

简介：NumericalsimulationsandexperimentalresearcharebothcarriedouttoinvestigatethecontrolledeffectofspanwiseoscillatingLorentzforceonaturbulentchannelflow.ThevariationsofthestreaksandtheskinfrictiondragareobtainedthroughthePIVsystemandthedragmeasurementsystem,respectively.Theflowfieldinthenear-wallregionisshownthroughdirectnumericalsimulationsutilizingspectralmethod.Theexperimentalresultsareconsistentwiththenumericalsimulationresultsqualitatively,andboththeresultsindicatethatthestreaksaretiltedintothespanwisedirectionandthedragreductionutilizingspanwiseoscillatingLorentzforcescanberealized.Thenumericalsimulationresultsrevealmoredetailofthedragreductionmechanismwhichcanbeexplained,sincethespanwisevorticitygeneratedfromtheinteractionbetweentheinducedStokeslayerandintrinsicturbulentflowinthenear-wallregioncanmakethelongitudinalvorticestiltandoscillate,andleadstoturbulencesuppressionanddragreduction.

简介：<正>在同一数学系统下,把所讨论的问题中的有关命题或对象的表现形式做可逆的逻辑改变叫等价变换。具体途径可以对命题的局部进行等价转化,也可以对命题的叙述(条件、结论)方式进行转化,以及变换命题的所有的领域。它是中学里一种重要的教学方法,即把数学中待解决或未解决的问题,通过某种转化过程,归结到某个(或某些)已经解决或者比较容易解决的问题,最终可得原问题解的方法。利用等价变换解决问题的思维结构框图为:

简介：更换下列各词中的词首,使它成为另一个新的单词,但所写出的答案必须要有意义。(各题的答案可能不只一个)

简介：Inthispaper,weconsideraLorentzspacewithamixednormofperiodicfunctionsofmanyvariables.WeobtaintheexactestimationofthebestM-termapproximationsofNikol'skii'sandBesov'sclassesintheLorentzspacewiththemixednorm.