简介：Simplifytheproofonthedomainofconvergenceofmultiplepowerseriesandconsiderthecasewheresomeofz1,···,znarecontainedonlyinafinitenumberoftermsoftheseries.ObtainsomeresultsonholomorphicfunctionsinCn.

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简介：重力的势能(GPE)来源和水池由于激动人心并且与西格马散开/移流联系的cabbeling被分析。GPE采购原料，这被显示出，水池太大，并且他们仔细没被连接到物理性质分发，例如温度，咸度和速度。尽管西格马坐标模型的最经常引用的优点是他们处理地形学的能力；GPE来源和水池的过多的数量由于激动人心并且与西格马散开/移流从我们的分析诊断了联系的cabbeling提出一个很严肃的问题侧面的散开/移流在西格马模仿了的方法是否协调模型，身体上是可接受的。在三个坐标的GPE来源和水池在他们的大小和模式是戏剧性地不同的。总的来说，以模仿侧面的旋涡散开和移流isopycnal坐标是最好的选择和西格马坐标是最糟。在西格马坐标的过多的GPE来源和水池的物理原因进一步在细节被探索。甚至在isopycnal坐标，然而，模拟能被与移流术语联系的数字错误基于Eulerian坐标污染。

简介：Forthesimulationofthenonlinearwavepropagationincoastalareaswithcomplexboundaries,anumericalmodelisdevelopedincurvilinearcoordinates.Inthemodel,theBoussinesq-typeequationsincludingthedissipationtermsareemployedasthegoverningequations.Inthepresentmodel,thedependentvariablesofthetransformedequationsarethefreesurfaceelevationandtheutilityvelocityvariables,insteadoftheusualprimitivevelocityvariables.TheintroductionofutilityvelocityvariableswhicharetheproductsofthecontravariantcomponentsofthevelocityvectorandtheJacobimatrixcanmakethetransformedequationsrelativelyconcise,thetreatmentoflateralboundaryconditionseasierandthedevelopmentoftheprogramsimpler.Thepredictor-correctormethodandfive-pointfinite-differenceschemeareemployedtodiscretizethetimederivativesandthespatialones,respectively.Thenumericalmodelistestedforthreecases.Itisfoundthatthenumericalresultsareingoodagreementwiththeanalyticalresultsandexperimentaldata.

简介：MIC-Kepler系统经由Milshtein-Strakhovenko变体被学习(2,1)那么躺着代数学。格林的函数在球形的坐标被构造，在Kustaanheimo-Stiefel变量和SO(2,1)组的生成器的帮助下。精力光谱和界限状态的规范的波浪功能被获得。

简介：这份报纸涉及在啤酒杯杯损失下面改进协变性矩阵的评估者的问题。由协变性矩阵的部分Iwasawa坐标，相应风险能被分成三部分。一个人能在加权的二次的损失的加权的矩阵使用信息改进风险的一部分。然而，这份报纸间接地在样品平均数利用信息，复用Iwasawa协调改进风险的其余部分。是值得提及上面的过程能被重复。最后，蒙特卡罗模拟研究被执行验证理论结果。

简介：Thispaperpresentsadirectmethodtofindtheinternalfaces.Itusesfoursetsofinformation:1getthecoordinatesofeachpointonthe3Dcompositeobjects;2basedonthe3Dcoordinatestocalculatealltheplaneequationoftwoobjects;3calculatealltheintersectinglinesofthetwoobjectsandexcludetheintersectinglineswhicharenotwithinthescopeoftheplane;4findingtheinternalface,theremainingintersectinglinesformedtheplaneistheinternalfaceofthetwoobjects.Weproposedanewalgorithmforfindinginternalfaces.Thisalgorithmcouldbeadaptedtoanyregularcompositeobjects.Thealgorithmworkswellforfindinginternalfaces.

简介：Themild-slopeequationisfamiliartocoastalengineersasitcaneffectivelydescribewavepropagationinnearshoreregions.However,itscomputationalmethodinCartesiancoordinatesoftenrendersthemodelinaccurateinareaswithirregularshorelines,suchasestuariesandharbors.Basedonthehyperbolicmild-slopeequationinCartesiancoordinates,thenumericalmodelinorthogonalcurvilinearcoordinatesisdeveloped.ThetransformedmodelisdiscretizedbythefinitedifferencemethodandsolvedbytheADImethodwithspace-staggeredgrids.Thenumericalpredictionsincurvilinearcoordinatesshowgoodagreementwiththedataobtainedinthreetypicalphysicalexperiments,whichdemonstratesthatthepresentmodelcanbeusedtosimulatewavepropagation,fornormalincidenceandobliqueincidence,indomainswithcomplicatedtopographyandboundaryconditions.

简介：Inanactiveradar-trackingsystem,thetarget-motionmodelisusuallymodeledintheCartesiancoordinates,whiletheradarmeasurementusuallyisobtainedinpolar/sphericalcoordinates.Thereforethetarget-trackingproblemintheCartesiancoordinatesbecomesanonlinearstateestimationproblem.Anumberofmeasurement-conversiontechniques,whicharebasedonpositionmeasurements,arewidelyusedsuchthattheKalmanfiltercanbeusedintheCartesiancoordinates.However,theyhavefundamentallimitationstoresultinfilteringperformancedegradation.Infact,inadditiontopositionmeasurements,theDopplermeasurementorrangerate,containinginformationoftargetvelocity,hasthepotentialcapabilitytoimprovethetrackingperformance.AfilterisproposedthatcanuseconvertedDopplermeasurements(i.e.theproductoftherangemeasurementsandDopplermeasurements)intheCartesiancoordinates.ThenovelfilteristheoreticallyoptimalintheruleofthebestlinearunbiasedestimationamongalllinearunbiasedfiltersintheCartesiancoordinates,andisfreeofthefundamentallimitationsofthemeasurement-conversionapproach.Basedonsimulationexperiments,anapproximate,recursiveimplementationofthenovelfilteriscomparedwiththoseobtainedbyfourstate-of-the-artconversiontechniquesrecently.Simulationresultsdemonstratetheeffectivenessoftheproposedfilter.

简介：Wepresentsomenewmethodsforparameterizingthetrianglemeshsurface(TMS)whichresultfromtheMarchingCubes(MC)algorithm.Themethodsapplytosurfacesofgenuszeroandtheparameterdomainisaunitsphere.WetakeadvantageofsomespecialpropertiesoftheTMSresultingfromtheMCalgorithmtoobtainsimple,computationalefficientrepresentationsofthenearestneighborcoordinatesandutilizethesecoordinatesinthecharacterizationoftheparameterizationbymeansofsystemsofequationswhicharesolvediteratively.Examplesandcomparisonsarepresented.

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简介：ThediscreteSobolev’sinequalitiesinL_pnormareprovedforthree-dimensionalsphericalandcylindricalcoordinates,byusingdiscreteHolderinequality.propertyofthetrianglefunctionsandcomplicateddeduction.

简介：Itisaresearchsubjectincomputervisionto3Dreconstructionofanobjectrepresentedbyasingle2Dlinedrawing.Previousworkson3Dreconstructionfrom2Dlinedrawingsfocusonobjectswithlines,plane,view,andsoon.Thispapermainlystudiesthe3Dreconstructionfrom2Dlinedrawings.Besides,anewapproachisproposed:itisthatfortheresearchofthepointcoordinatesof2Dlinedrawings,soastoachievetheobjectreconstructionbythereconstructionofpointcoordinates.Thereconstructionprocessincludes:①thecollectionofpointcoordinates(X,Y)of2Dlinedrawings;②thederivationofmathematicalformulaaboutthereconstructionofthepointof2Dlinedrawings,andcalculatingthecorrespondingpointofthe3Dcoordinates;③theregenerationof3Dgraphicswith3Dpoints;④analyzeerrorbytheproportionalofparallelofaxonometricprojection,inordertoprovetheaccuracyofthemethod.

简介：Thesubsystemsynthesismethodhasbeendevelopedinordertoimprovecomputationalefficiencyforamultibodyvehicledynamicsmodel.Usingthesubsystemsynthesismethod,equationsofmotionofthebasebodyandeachsubsystemcanbesolvedseparately.Inthesubsystemsynthesismethod,variouscoordinatesystemscanbeusedandvariousintegrationmethodscanbeappliedineachsubsystem,aslongastheeffectivemassmatrixandtheeffectiveforcevectorareproperlyproduced.Inthispaper,comparativestudyhasbeencarriedoutforthesubsystemsynthesismethodwithCartesiancoordinatesandwithjointrelativecoordinates.Twodifferentintegrationmethodssuchasanexplicitintegratorandanexplicitimplicitintegratorareemployed.Inordertoseetheaccuracyandcomputationalefficiencyfromthedifferentmodelsbasedonthedifferentcoordinatesystemsanddifferentintegrationmethods,aroughterrainrunsimulationshasbeencarriedoutwitha6×6off-roadmultibodyvehiclemodel.

简介：BasedonthePennes’bioheattransferequation,asimplifiedone-dimensionalbioheattransfermodelofthecylindricallivingtissuesinthesteadystatehasbeensetupforapplicationinlimbandwholebodyheattransferstudies,andbyusingtheBessel’sequation,itscorrespondinganalyticsolutionhasbeenderivedinthispaper.Withtheobtainedanalyticsolution,theeffectsofthethermalconductivity,thebloodperfusion,themetabolicheatgeneration,andthecoefficientofheattransferonthetemperaturedistributioninlivingtissuesareanalyzed.Theresultsshowthatthederivedanalyticsolutionisusefultoeasilyandaccuratelystudythethermalbehaviorofthebiologicalsystem,andcanbeextendedtosuchapplicationsasparametermeasurement,temperaturefieldreconstructionandclinicaltreatment.