简介：通过一个较复杂的模型详细描述了三维不规则模型的建模操作过程，同时简单介绍了工作中探讨出的一些使用技巧。

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。

简介：研究分析了描述重气扩散过程的多种现有模型的特点，选择以浅层模型为基础，设计开发了CH2Cl2模拟弹爆炸扩散过程模拟分析的软件系统．通过与试验蛄果对比．表明了计算机模拟分析的有效性，为远距离红外检测系统提供了辅助技术基础．

简介：设f(x)是一个Fourler系数为正的周期函数，我们构造了关于f(x)的二维周期基数插值小波的尺度函数，并得到了—些对构造小渡函数有重要意义的性质。

简介：

简介：WedefinethenotionofevolutesofcurvesinahyperbolicplaneandestablishtherelationshipsbetweensingularitiesofthesesubjectsandgeometricinvariantsofcurvesundertheactionoftheLorentzgroup.WealsodescribehowwecandrawthepictureofanevoluteofahyperbolicplanecurveinthePoincarédisk.

简介：

简介：Bydevelopingthedominancetechniqueofnondecreasingintegersequencesintoamultifoldform,weintroduceanewapproachfortheenumerationofplanepartitions,whichcanbeusedtogeneratemostofclassicaltheoremsinthisfield.Thetreatmentpresentedheremaybemoreaccessibletoreadersthantheearliermethodsofalgebra,analysisandalgorithm.

简介：针对研制坦克射击模拟器的要求,利用三维图形技术,建立起了一套三维数学模型,并在该模型基础上提出一种快速纹理生成算法,克服了传统纹理映射方法耗时多的缺点,在微机上达到实时生成,从而能模拟坦克前进动态效果,使得模拟逼真度得以提高.

简介：Inthispaper,theproblemoffindingtheintersectionofatriangularBezierpatchandaplaneisstudied.Forthedegreethatonefrequentlyencountersinpractice,i.e.n=2,3,anefficientandreliablealgorithmisobtained,andcomputationalstepsarepresented.

简介：Inthispaper,usingsometechniques,weprovethatthereexiststheregularhomoclinicpointforTaylormappingwith4

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.

简介：

简介：LetM(2)bethegroupofrigidmotionsoftheplane.TheFouriertransformandthePiancherelformulaonM(2)canbeexplicitlygivenbythegeneralgrouprepresentationtheory.Usingthisfact.weestablishakindofuncertaintyprincipleonM(2).Theresultcaneasilybegeneralizedtohigherdimensionalcases.AnapplicationoftheresultyieldsanuncertaintyprincipleontheEuclideanspacesobtainedbyR.S.Strichartz.

简介：ThepurposeofthispaperistoinvestigateanewtypeofevolutionproblemforclosedconvexplanecurveswhichwillpreservestheperimeterofthecurvebutexpandstheenclosedareaandthefinallimitingcurveisacircleintheHausdorffmetricintheplane.

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