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简介：在g上的Lipschitz假设和方形的integrable假设下面，如果并且仅当g独立于y，作者证明Jensen的不平等为向后的随机的微分方程赞成发电机g，g(t，0)≡0并且g是超级的关于z同类。这结果为g期望在Jensen的不平等上概括已知的结果在[4，7-9]。

简介：ConsiderthepiecewiselinearfiniteelementsubspaceSandparabolicsemidiscreteGreen’sfunctionofgradienttypeGh(t)∈Sk.Theasymptoticoptimalestimatedxdt

简介：Alongwiththedevelopmentsonthehardware'stechniqueoftheLEDelectronicdisplay,thecontrolsoftwarewasalsoaskedtoadvancetoanewlevel.Theoldsoftwareofourcompanycouldn'tdemandnolonger.It'ssatisfythecustomer'snecessarytodesignanewplaysoftwaretoshowtheadvantagesoftheLEDelectronicdisplay.

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简介：ALeverrier-likealgorithmispresentedwhichallowsthecomputationofthetransferfunctionofalinearregularsystemfromitsm-Dstate-spacedescription,withoutinvertingamultivariablepolynomialmatrix.ThisalgorithmisanextensionoftheclassicLeverrier'salgorithmfor1-Dsystemanditreducesthecomputationalcost.ra-DCayley-Hamiltontheoremisalsoshownbythealgorithm.

简介：Ｎｏｅｔｈｅｒ’ｓｔｈｅｏｒｅｍｒｅｖｅａｌｓｔｈｅｉｎｎｅｒｃｏｎｎｅｃｔｉｏｎｂｅｔｗｅｅｎｔｈｅｃｏｎｓｅｒｖａｔｉｏｎｌａｗｓａｎｄｔｈｅｄｙｎａｍｉｃａｌｓｙｍｍｅｔｒｙｏｆｄｙｎａｍｉｃａｌｓｙｓｔｅｍｓ．Ｉｎｔｈｅｒｅｃｅｎｔｔｗｅｎｔ...

简介：Inthispaper,theauthorsobtainsharpupperandlowerboundsfortheheatkernelassociatedwithJacobitransform,andgetsomeanaloguesofHardy'sTheoremforJacobitransformbyusingthesharpestimateoftheheatkernel.

简介：Ekeland’svariationalprincipleisafundamentaltheoreminnonconvesanalysis.Itsgeneralstatementisasthefollowing:Ekeland’sVariationalPrinciple'’a:.LetVbeacompletemetricspace,andF:F—*-RU{+°°}alowersemicontinuousfunction,notidentically+00andboundedfrom,below.Lets>0begiven,andapointu^VsuchthatF(u)

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

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简介：ARevisedEditionofthenow-classical1971texteditedbyL.Beranek,NoiseandVibrationControl,hasbeenpublishedbytheInstituteofNoiseControlEngineering.NoiseandVibrationControlisofgreatvaluetodesignandsafetyengineers,consultants,scientists,architects,governmentresearchers,publicofficialsandothersconcernedwiththecontrolofnoiseemittedbymachineryandwithcontrolofenvironmentalnoiseinbuildings,intheworkplace,nearairportsandhighways,andinthecommunity.This

简介：Poly（aryleneetherdiketone）swerepreparedbythearomaticnucleophilicdisplacementreactionof4,4’-difluorobenzilwithdifferentbisphenolsinthepresenceofan-hydrouspotassiumcarbonateindiphenylsulfoneatelevatedtemperature.Thepolymersobtainedhadinherentviscosityof0.51～0.63dL/g,andexhibitedglasstransitiontemper-aturerangingfrom136～217℃mainlydependingonthebisphenolsusedinthepolymersynthesis.Thermogravimetryofthesepolymersshowedexcellentthermalstability,indi-catingthat10%weightlossesofthepolymerswereobservedintherangeabove428℃and438℃inairandnitrogen,respectively.ThemechanicalpropertiesofthesepolymerswerealsodescribedandthepermeabilityoffivepolymersforH2,O2andN2wasdeterminedat30℃.

简介：Inthisarticle,westudytheexplicitexpressionsoftheconstantsintheerrorestimateofthenonconformingfiniteelementmethod.WeexplicitlyobtaintheapproximationerrorestimateandtheconsistencyerrorestimatefortheWilson'selementwithouttheregularassumption,respectively,whichimpliesthefinalfiniteelementerrorestimate.Suchexplicitapriorierrorestimatescanbeusedascomputableerrorbounds.

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简介：SomenewreflectionprinciplesforMaxwell'sequationsarefirstestablished,whicharethenappliedtoderivetwonovelidentifiabilityresultsininverseelectromagneticobstaclescatteringproblemswithpolyhedralscatterers.

简介：1.IntroductionItiswellknownthattheAdini’selementiscommonlyusedforapproximatingthesolutionofhighorderpartialdifferentialequations(suchasplateproblem).WhatresultscanwegetifwesolvesecondorderimhomogeneousNeumannellipticproblemusingAdini’selement?Weshall...

简介：Energyandenvironmentalissueshavebecomeincreasinglyprominentinmattersoftransportation.Comparedwithroad,air,andseatransportation,railwaytransportationhastheadvantagesofalargetransmissioncapacity,withrapid,safe,andon-timetravel,requiringlesslandresources,withlowerenergyconsumption,lessenvironmentalpollution,andthecapacitytooperateundermostweatherconditions.Inparticular,high-speedrailwaytechnologyhasbeengrowingrapidly.Sincetheworld'sfirsthigh-speedrailwaywasbuiltinJapanin1964,morethantencountriesandregionshavedevelopedhigh-speedrailways,operatingoveratotalofmorethan10000km.High-speedrailwaysnotonlyprovidethepublicwithanewtypeofrapid,convenient,safe,andcomfortabletravel,butalsogreatlyboostthesocio-economicdevelopmentofthecountry.

简介：Inthispaperusinganargumentfrom[1],weproveoneoftheprobabilisticversionofHardy'sinequality.