简介:Inthispaper,weprovethatifGisaplanegraphwithout4-,5-and7-circuitsandwithoutintersectingtriangles,thenforeachfacefofdegreeatmost11,any3-coloringoftheboundaryoffcanbeextendedtoG.ThisgivesapositivesupporttoaconjectureofBorodinandRaspaudwhichclaimsthateachplanegraphwithout5-circuitsandintersectingtrianglesis3-colorable.
简介:运用有限差分法对无限长接地矩形导体槽内的电位进行数值计算,通过MATLAB教学软件编程算出场域中若干点的电位,作图给出了槽内电位的直观分布图像。
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简介:Bydevelopingthedominancetechniqueofnondecreasingintegersequencesintoamultifoldform,weintroduceanewapproachfortheenumerationofplanepartitions,whichcanbeusedtogeneratemostofclassicaltheoremsinthisfield.Thetreatmentpresentedheremaybemoreaccessibletoreadersthantheearliermethodsofalgebra,analysisandalgorithm.
简介:Inthispaper,theproblemoffindingtheintersectionofatriangularBezierpatchandaplaneisstudied.Forthedegreethatonefrequentlyencountersinpractice,i.e.n=2,3,anefficientandreliablealgorithmisobtained,andcomputationalstepsarepresented.
简介:TheIsodynetechniquebasedonthescatteredlightscanningfromathinlaserbeamcanbeusedtoobtaintheinformationinsidetheloadedobjectintheroomtemperaturenondestructively,soitisaverypowerfultechniquein3Dstressanalysis.Theproblemsarehowtointerprettheinformationandhowtogetsufficientinformationfromthefewinterferencefringe.Birefringencephaseshifttechniquecandistinguishthefringeordersautomaticallyandenrichtheinformationin256graylevelsbetweenmaximandminimlightintensity.InthepapertheIsodynebirefringencephaseshiftmethodwithanobliqueincidenceandequilibriumequationispresented,bywhichthe3DstressesinthemiddleplaneofaplatewithUshapenotchareseparatedsuccessfully.
简介:Inthispapertheauthordiscussesthevectorfieldssatisfyingtheconditions(C1)and(C2)andprovessometheoremsforthenumberoflimitcyclesoftheplaneautonomoussystems.Someapplicationsofthetheoremsandlemmasin§1aregivenin§2.
简介:Bymeansofthegeneralizedvariableprincipleofmagnetoelectroelasticsolids,theplanemagnetoelectroelasticsolidsproblemwasderivedtoHamiltoniansystem.Insymplecticgeometryspace,whichconsistsoforiginalvariables,displacements,electricpotentialandmagneticpotential,andtheirdualityvariables,lengthwaysstress,electricdisplacementandmagneticinduction,theeffectivemethodsofseparationofvariablesandsymplecticeigenfunctionexpansionwereappliedtosolvetheproblem.Thenalltheeigen-solutionsandtheeigen-solutionsinJordanformoneigenvaluezerocanbegiven,andtheirspecificphysicalsignificationswereshownclearly.Atlast,thespecialsolutionswerepresentedwithuniformloader,constantelectricdisplacementandconstantmagneticinductionontwosidesoftherectangledomain.
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简介:LetM(2)bethegroupofrigidmotionsoftheplane.TheFouriertransformandthePiancherelformulaonM(2)canbeexplicitlygivenbythegeneralgrouprepresentationtheory.Usingthisfact.weestablishakindofuncertaintyprincipleonM(2).Theresultcaneasilybegeneralizedtohigherdimensionalcases.AnapplicationoftheresultyieldsanuncertaintyprincipleontheEuclideanspacesobtainedbyR.S.Strichartz.
简介:In-planeandOut-of-planeEmissionofUnstableNucleifrom40Ar+197AuReactionSystem¥HeZhiyong;DuanLimin;LiZuyu;JinGenmi...
简介:Acarriermethodforseparatingout-of-planedisplacementfromin-planecomponentsbasedonlargeimage-shearingshearographyispresented.Areferencesurfaceisfixedonthesideofatestobject.Theyareilluminatedbytwoexpandedsymmetricilluminationsrespectively.Thecarrierisintroducedbyrotatingthereferencesurfacetomodulatethedisplacementofanobject.ByusingFouriertransformtodemodulatethemodulatedfringepattern,twophasemaps,whichincludeout-of-planeandin-planedisplacements,canbeobtained.Thentheout-of-planedisplacementcanbeeasilyseparatedfromin-planedisplacementbysubtractionandadditionofthetwounwrappedphasedistributions.Theprincipleofthemethodispresentedandprovedbyatypicalthree-point-bendingexperiment.Experimentalresultsshowthatthemethodenjoyshighvisibilityofcarrierfringes.Thesystemdoesnotneedaspecialbeamasareferencelightandhassimpleopticalsetup.更多还原