简介:ymboliccircuitsimulatoristraditionallyappliedtothesmall-signalanalysisofanalogcircuits.Thispaperestablishesasymbolicbehavioralmacromodelingmethodapplicabletobothsmall-signalandlarge-signalanalysisofgeneraltwo-stageoperationalamplifiers(op-amps).Theproposedmethodcreatesatwo-poleparametricmacromodelwhoseparametersareanalyticalfunctionsofthecircuitelementparametersgeneratedbyasymboliccircuitsimulator.Amomentmatchingtechniqueisusedinderivingtheanalyticalmodelparameter.Thecreatedparametricbehavioralmodelcanbeusedforop-ampsperformancesimulationinbothfrequencyandtimedomains.Inparticular,theparametricmodelsarehighlysuitedforfaststatisticalsimulationofop-ampsinthetime-domain.Experimentresultsshowthatthestatisticaldistributionsoftheop-ampslewandsettlingtimecharacterizedbytheproposedmodelagreewellwiththetransistor-levelresultsinadditiontoachievingsignificantspeedup.
简介:Thispaperinvestigatessymbolicalgorithmicanalysisofrectangularhybridsystems.Todealwiththesymbolicreachabilityproblem,arestrictedconstraintsystemcalledhybridzoneisformalizedfortherepresentationandmanipulationofrectangularautomatastate-spaces.Hybridzonesareprovedtobeclosedoversymbolicreachabilityoperationsofrectangularhybridsystems.Theyarealsoappliedtomodel-checkingproceduresforverifyingsomeimportantclassesoftimedcomputationtreelogicformulas.Torepresenthybridzones,adatastructurecalleddifferenceconstraintmatrixisdefined.Theseenableustodealwiththesymbolicalgorithmicanalysisofrectangularhybridsystemsinanefficientway.
简介:TheGreatGatsbyisconsideredthefinestachievementofFitzgerald’sliterarycareer.Thenovelissuccessfulforitsnarrativeskill,gracefulanddelicateprosestyle,andespecially,theemploymentofsymbolismwhichcontributesmosttothedepthandbroadnessofitstheme.Thereisanabundanceofimageswhicharefullofsymbolicmeaningthroughthewholestory,amongwhichthemostimportantoneisunquestionablytheemploymentof"thegreenlight".Thispaper,throughanalyzingtheskillfulemploymentofsymbolisminthetermof"thegreenlight"inthenovel,discussesthedeepconnotationthatisimpartedbythenovelistandexplainsthedecisiveroleofthesymbolismofthisterminthenovelinshapingthefigures,developingtheplotofthestory,anddeepeningthethemesofthework.
简介:Thepulseamplificationinthedispersion-decreasingfiber(DDF)isinvestigatedviasymboliccomputationtosolvethevariable-coefficienthigher-ordernonlinearSchr(o|¨)dingerequationwiththeeffectsofthird-orderdispersion,self-steepening,andstimulatedRamanscattering.Theanalyticone-solitonsolutionofthismodelisobtainedwithasetofparametricconditions.Basedonthissolution,thefundamentalsolitonisshowntobeamplifiedintheDDF.ThecomparisonoftheamplitudeofpulsesfordifferentdispersionprofilesoftheDDFisalsoperformedthroughthegraphicalanalysis.Theresultsofthispaperwouldbeofcertainvaluetothestudyofsignalamplificationandpulsecompression.
简介:Abstract.ARiccatiequationinvolvingaparameterandsymboliccomputationareusedtouni-formlyconstructthedifferentformsoftravellingwavesolutionsfornonlinearevolutionequa-tions.Itisshownthatthesignoftheparametercanbeappliedinjudgingtheexistenceofvari-ousformsoftravellingwavesolutions.Anefficiencyofthismethodisdemonstratedonsomee-quations,whichincludeBurgers-Huxleyequation,Caudrey-Dodd-Gibbon-Kawadaequation,gen-eralizedBenjamin-Bona-MahonyequationandgeneralizedFisherequation.
简介:这篇文章被奉献寻求可变coefficientGinzburg四轮马车(vcGL)的解决方案方程。在符号的计算和直接ansaetz的帮助下,四转变,到标准的vcGL方程的减小和圆柱的nonlinearSchroedinger方程,它作为分析答案的变化被发现了被获得。代替这些答案进那些转变,vcGL的相应分析解决方案被获得。
简介:IntheEasyDynmultibodyopensourceproject,computeralgebrahasbeenusedfromthebeginningtogeneratetheexpressionsofvelocitiesandaccelerationsofthebodies,bysymbolicdifferentiationoftheirposition.Originally,theMuPADcomputeralgebrasystemhadbeenretainedbecauseitwasfreelyavailablefornoncommercialpurposesandshowedverygoodtechnicalfeatures.Unfortunately,MuPADisnowadaysonlyavailablethroughcommercialchannelsandneedstobereplacedtokeepEasyDynpubliclyavailable.ThispaperpresentswhyXcas/Giacisfinallyselected,amongotherlong-termpromisingprojectslikeAxiom,Maxima,SageorYacas.Amongthechoicecriteria,theaccessibility,theportability,theeaseofuse,theautomaticexporttoClanguage,andthesimilaritywiththeMuPADlanguageareallconsidered.TheperformancesoftheMuPADandXcas/Giacimplementationsarealsocomparedonsomeexamples.
简介:Asymboliccomputationmethodtodecidewhetherthesolutionstothesystemoflinearpartialdifferentialequationiscompleteviausingdifferentialalgebraandcharacteristicsetispresented.Thisisamechanizationmethod,anditcanbecarriedoutonthecomputerintheMapleenvironment.
简介:Thedevelopmentofnewproductsofhighquality,lowunitcost,andshortleadtimetomarketarethekeyelementsrequiredforanyenterprisetoobtainacompetitiveadvantage.Thispartofthepaperpresentsamethodologytoautomaticallysimulatetheconceptualdesignresultsinthevirtualentityform.Totheidentifiedbasicmechanisms,theirkinematicanalysisiscarriedoutbymatchingbasicBarranovtrusses,andtheirvirtualentitiesaremodeledbasedonfeature-basedtechniqueandencapsulatedasonedesignobject.Basedonthestructuresofthebasicmechanismsandtheirconnections,aspacelayouttothemechanicalsystemcorrespondingtothesymbolicschemeisthenfulfilled.Withthepreset-assemblyapproach,allpartsinthemechanicalsystemareputontoproperpositionswheretheconstraintequationsaremetaccordingtothespacelayoutresults.Inthisway,thevirtualentityassemblymodelofthemechanicalsystemrelativetothesymbolicschemeissetup.Theapproachpresentedinthispapercannotonlyobtaininnovativeconceptualconceptualdesignresults,butalsocanevaluatetheirperformancesunder3-Denviromentefficently.
简介:Thedevelopmentofnewproductsofhighquality,lowunitcost,andshortleadtimetomarketarethekeyelementsrequiredforanyenterprisetoobtainacompetitiveadvantage.Forshortingtheleadtimetomarketandimprovingthecreativityandperformancesoftheproduct,arule-basedconceptualdesignapproachandamethodologytosimulatetheconceptualdesignresultsgeneratedinconceptualdesignprocessinautomaticalvirtualentityformarepresentedinthispaper.Thispartofpaperpresentsarule-basedconceptualdesignmethodforgeneratingcreativeconceptualdesignschemesofmechanismsbasedonYan’skinematicchainregenerationcreativedesignmethod.Thedesignrulesareadoptedtodescribethedesignrequirementsofthefunctionalcharacteristics,theconnectionrelationshipsandtopologicalcharacteristicsamongmechanisms.Throughthegraphs-basedreasoningprocess,theconceptualdesignspaceisexpandedextremely,andthepotentialcreativeconceptualdesignresultsarethendugout.Byrefiningthedesignrules,thesolutionexplorationproblemisavioded,andthetendentiousconceptualdesignschemesaregenerated.Sincemechanical,electricalandhydraulicsubsystemscanbetransformedintogeneralmechansims,theconceptualdesignmethodpresentedinthispapercanalsobeappliedintheconceptualdesignproblemofcomplexmechatronicsystems.Andthenthemethodtoidentifyconceptualdesignschemesisgiven.
简介:<正>Inthefifties.Calderonestablishedaformalrelationbetweensvmbolandkerneldistribu-tion,butitisdifficulttoestablishanintrinsicrelation.TheCalderon-Zygmund(C-Z)schoolstudiedrheC-Zoperators,andHormander.KohnandNirenberg,etal.studiedthesymbolicoperators.HereweapplyarefinementoftheLittlewood-Paley(L-P)decomposition,analyseundernewwaveletbases.tocharacterizebothsymbolicoperatorsspacesOpS1,δmandkerneldistributionsspaceswithotherspacescomposedofsomeahnostdiagonalmatrices.thengetanisometricbetweenOpS1,δmandkerneldistri-butionspaces