简介:Alongwithnecessariesappliedandthegoingdeeplyintotheresearch,thattheuni-tarymatrixandHermitematrixarepopularizedinmanykinds,andinthispaperuni-versalunitarymatrixanduniversal(oblique)Hermitematrixarestudiedfurther,andthismustbeusefulformatrixtheoryandapplications(likeoptimizationtheory,symplecticgeometryandphysicsetc).Inthepaper,Cm×nshowsm×ncompoundmatrixset,Cnm×nshowsnstepcompoundinvertiblematrixset,A*showsconjugatetransposematrixofA,
简介:Compositionistheoperationofreplacingvariablesinapolynomialwithotherpolynomials.Themainquestioninthispaperis:whendoescompositioncommutewithuniversalGroebnerbasiscomputation?Weprovethatthishappensiffthecompositionissinglevariable.ThishasanaturalapplicationinthecomputationofuniversalGroebnerbasesofcomposedpolynomials.
简介:ThispaperaimsatstudyingtherelationshipbetweenuniversaltelecommunicationserviceandWestChinadevelopment.It,firstly,introducesourcountry'sdemandsforuniversaltelecommunicationservice;secondly,analysesthedemandofWestChinadevelopmentfortheuniversaltelecommunicationservice;thirdly,depictsthedevelopmentstatusoftelecommunicationindustryofthewestregion;fourthly,pointsoutthesignificanceofuniversaltelecommunicationservicetothewestarea;andlastly,bringsforwardtheconnotationofuniversaltelecommunicationserviceofwestarea.
简介:Thepurposeofthispaperistopresentsomedualpropertiesofdualcomodule.Itturnsoutthatdualcomodulehasuniversalproperty(cf.Theorem2).Since(()*,()°)isanadjointpair(cf.Theorem3),somenicepropertiesoffunctor()°areobtained.FinelyTheoram4providesthatthecotensorproductisthedualofthetensorproductby(MAN)°≌M°□A.N°.Moreover,theresultHomA(M,N)≌Coma.(N°,M°)isprovedforfiterelatedmodulesM,NoverarefiexivealgebraA.
简介:Accordingtothetheoryoftestingasphericalsurfacebynormalaberrationcompensationmethod,thedesigningmethodofquasi-universalcompensatorisstudied.Onthebasisofthird-orderaberrationtheory,aftercalculatingandoptimizingwithanopticaldesignprogram,thestructureparametersofacompensatorareobtained.ThisnewcompensatorcouldbeusedinTwyman-Greeninterferometer,andinmeasurementofacertainrangeofparaboloidellipsoidandhyperboloid.Thecompensationaccuracyismorethan0.02λ.
简介:ThemodeloftheuniversalTeichmullerspacebythederivativesoflogarithmistheunionofinfinitedisconnectedcomponents.Inthispaper,thefactthateachcomponentisnotstarlikewithrespecttoitscenterisproved,andtheouterradiusofthespacewithrespecttoeachcenterisobtained.
简介:Inthispaper,westudytheexistenceof0-1universalminimaltotaldominatingfunctionsinagraph.Weestablishaformulationoflinearinequalitiestocharacterizeuniversalminimaltotaldominatingfunctionsandshowthatforakindofgraphswhoseadjacentmatricesarebalanced,theexistenceofuniversalminimaltotaldominatingfunctionscoincideswiththatof0-1ones.Itisalsoprovedthatforgeneralgraphs,theproblemoftestingtheexistenceof0-1universalminimaltotaldominatingfunctionsisNP-hard.
简介:Basedonmulti-module-cascadedinvertertopology,thisstudypresentedauniversalmultilevelinverterhybridtopologyandunifiedtheresearchesonmultilevelinvertertopology.Accordingtothefreedomofthisuniversaltopology,severalnewhybridtopologieswereconstructed.Also,basedonconventionalmodulationstrategies-multi-carrierSPWM(SinusoidalPulseWidthModulation),hybridmodulationstrategieswereintroducedcorrespondingtohybridtopologies,andamultilevelSVPWM(SpaceVectorPulseWidthModulation)techniquebasedonphase-shiftedtheorywasnaturallyproduced.Simulationandexperimentresultsprovethathybridtopologiesandcorrespondingmodulationstrategiesarevalid,whichlayafoundationforpracticalapplicationofhybridmultilevelinvertertopologies.
简介:ThispaperobtainstheCauchy-PompeiuformulaoncertaindistinguishedboundaryforfunctionswithvaluesinauniversalCliffordalgebra.ThisformulaisjustanextensionoftheCauchy'sintegralformulaobtainedin[11].
简介:ByA.PeresandA.Stern'sopinionsacomputationalprocessevolvesalongacycliclogicorbitdefinedbyacomputation.A.Sternthoughtthatifwecoulddesignsuchacircuit,itsoperationscanbeextendedtoincludingnonconservativebehaviorassociatedwiththeexternalperturbationsorinternalquantumerrors.A.PeresdidnotdiscusshowtomakeφM-1=φo.A.Sternproposedonlyanecessaryconditionforaconservationofastateofaquantumcircuit.Inthispaperwepresentanecessaryandsufficientconditionforauniversalconservationofastateofaquantumcircuit.Wealsofindalloperatorswhichcanallowtheconservation.
简介:Auniversalsimulatorcapableofsimulatingvirtuallyanyuser-definedelectrochemical/chemicalproblemsinone-dimensionaldiffusiongeometrywasdevelopedbasedonanexponentiallyexpandinggridmodificationoftheexistingnetworkapproach.Somegeneralizedreaction-diffusiongoverningequationsofanarbitraryelectrochemical/chemicalprocesswerederived,andprogramcontrolledautomaticgenerationofthecorrespondingPSPICEnetlistfilewasrealized.Onthebasisoftheabovetechniques,auniversalsimulatorpackagewasrealized,whichiscapableofdealingwitharbitrarilycomplexelectrochemical/chemicalproblemswithone-dimensionaldiffusiongeometrysuchasplanardiffusion,sphericaldiffusion,cylindricaldiffusionandrotationaldiskdiffusion-convectionprocesses.Thebuildingofsuchasimulatoriseasyandthusitwouldbeveryconvenienttohaveitupdatedforsimulationsofnewlyraisedelectrochemicalproblems.
简介:Problemsaboutdensityareremarkableinthetheoryofdegreesofunsolvability.Owingtotheirdifficultyfewresultshavebeenobtainedtillnow.Sacks1964showedthatther.e.degreesaredense;Fejer1980showedthatnonbrachingdegreesaredenseinther.e.degrees,thisisthefirstnontrivialdefinablesubsetofthedegreesknowntobedense.