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简介：WedefinethenotionofevolutesofcurvesinahyperbolicplaneandestablishtherelationshipsbetweensingularitiesofthesesubjectsandgeometricinvariantsofcurvesundertheactionoftheLorentzgroup.WealsodescribehowwecandrawthepictureofanevoluteofahyperbolicplanecurveinthePoincarédisk.

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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：Inthispaper,usingsometechniques,weprovethatthereexiststheregularhomoclinicpointforTaylormappingwith4

简介：Inthispaper,weprovethatifGisaplanegraphwithout4-,5-and7-circuitsandwithoutintersectingtriangles,thenforeachfacefofdegreeatmost11,any3-coloringoftheboundaryoffcanbeextendedtoG.ThisgivesapositivesupporttoaconjectureofBorodinandRaspaudwhichclaimsthateachplanegraphwithout5-circuitsandintersectingtrianglesis3-colorable.

简介：一个阳光灿烂的午后．当我们正在为本期的“千姬变”栏目中模特的甄选工作忙得焦头烂额的时候．摄影师Petter给我们来了一个电话：“我认识一个小姑娘学化妆的．看了你们杂志特感兴趣，要不要看看她的资料？”我们抱着多一个不多．少一个不少的心态查看了Petter发来的女孩资料。十分让人意外的是．这位学化妆的小姑娘竟然跟我们以前印象中的女性化妆师大不相同——印象中的女性化妆师虽说容颜装束都很时尚．但是大多身材并不出众，

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：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

简介：Inthisarticle,byusingthestabilityofCauchytypeintegralwhenthesmoothperturbationforintegralcurveandtheSobolevtypeperturbationforkerneldensityhappen,wediscussthestabilityofthesecondfundamentalprobleminplaneelasticitywhenthesmoothperturbationfortheboundaryoftheelasticdomain(unitdisk)andtheSobolevtypeperturbationforthedisplacementhappen.Andtheerrorestimateofthedisplacementbetweenthesecondfundamentalproblemanditsperturbedproblemisobtained.

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简介：Planechargeexplosiontechnique(PCET)isoneofthemajortechniquesfrequentlyusedinlarge-scaleblast-resistantstructuretests.AnFEMmodelwasestablished,whichcansimulatetheprocessofairreleasingfromtheblastcavity.Theeffectsofthechargedensity,theintervalofthechargestrip,thedistanceofthechargesfromthestructure,andthemassofbackfillsoilontheoverpressuresappliedonthetestedstructureswereanalyzedbytheFEMmodel.Thequantitativerelationshipsbetweenthepeakvalueandthedurationoftheoverpressureandtheabove-mentionedaffectingparameterswereestablished.Agreementbetweennumericalresultsandthetestdatawasobtained.

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