简介:Thispaperfocusesontheissuesofcategoricaldatabasegen-eralizationandemphasizestherolesofsupportingdatamodel,integrateddatamodel,spatialanalysisandsemanticanalysisindatabasegeneralization.Theframeworkcontentsofcategoricaldatabasegeneralizationtransformationaredefined.Thispaperpresentsanin-tegratedspatialsupportingdatastruc-ture,asemanticsupportingmodelandsimilaritymodelforthecategoricalda-tabasegeneralization.Theconceptoftransformationunitisproposedingeneralization.
简介:Generalizingthenotionofstronglynilcleanrings,weintroducestronglyquasinilcleanrings.Somefundamentalpropertiesandequivalentcharacterizationsofthisclassofringsareprovided.Bymeansofg-Drazininverses,Cline'sformulaandJacobson'slemmaforstronglyquasi-nilcleanelementsareinvestigated.
简介:Wepresentaschemeforpreparingremotelyathree-particlepureentangledstateviaentanglementswapping,andthenwedirectlygeneralizeittothemultiparticlecase.ItisshownthatbyusingNpairsofbipartiteEPRstatesasthequantumchannel,remotepreparationofsomespeciallychosenN-particlepureentangledstatescanbeachievedfaithfullywithanN-particleorthonormalbasismeasurementandonlyNbitsofclassicalinformation.
简介:Thispaperputsforword11cartographicgeneralizationoperatormodelsandintroducestheirmathematicaldefinitions,andthusaprecisemathematicalformandquantitativedescriptionhasbeengiventotheseformerlylimitedqualitativeconcepts.Themeaningofmathematicaldefinitionofoperatorsforcartographicgeneralizationandtheapplicationprospectincomputer-aidedcartography(CAC)isstated.
简介:InthispaperwestudythesolutionsandstabilityofthegeneralizedWilson’sfunctionalequation∫_Gf(xty)dμ(t)+∫_Gf(xtσ(y))dμ(t)=2f(x)g(y),x,y∈G,whereGisalocallycompactgroup,σisacontinuousinvolutionofGandμisanidempotentcomplexmeasurewithcompactsupportandwhichisσ-invariant.Weshowthat∫_Gg(xty)dμ(t)+∫_Gg(xtσ(y))dμ(t)=2g(x)g(y)iff≠0and∫_Gf(t.)dμ(t)≠0,where[∫_Gf(t.)dμ(t)](x)=∫_Gf(tx)dμ(t).WealsostudysomestabilitytheoremsofthatequationandweestablishthestabilityonnoncommutativegroupsoftheclassicalWilson’sfunctionalequationf(xy)+χ(y)f(xσ(y))=2f(x)g(y)x,y∈G,whereχisaunitarycharacterofG.
简介:Thispaperproposesaformallystrongerset-valuedClaxke'sfixedpointtheorem.Bythis-theoremwecanimproveafixedpointtheoremforweaklyinwardcontractionset-valuedmappingofD.DowingandW.A.Kirk.
简介:NOTES ON FINITE ELEMENT METHOD AND ITS GENERALIZATIONNOTESONFINITEELEMENTMETHODANDITSGENERALIZATION¥L.Tao(InstituteofMechanic...
简介:Ageneralizationofthelinguisticaggregationfunctions(oroperators)ispresentedbyusinggeneralizedandquasiarithmeticmeans.Firstly,thelinguisticweightedgeneralizedmean(LWGM)andthelinguisticgeneralizedorderedweightedaveraging(LGOWA)operatorareintroduced.Theseaggregationfunctionsuselinguisticinformationandgeneralizedmeansintheweightedaverage(WA)andintheorderedweightedaveraging(OWA)function.Theyareveryusefulforuncertainsituationswheretheavailableinformationcannotbeassessedwithnumericalvaluesbutitispossibletouselinguisticassessments.Theseaggregationoperatorsgeneralizeawiderangeofaggregationoperatorsthatuselinguisticinformationsuchasthelinguisticgeneralizedmean(LGM),thelinguisticOWA(LOWA)operatorandthelinguisticorderedweightedquadraticaveraging(LOWQA)operator.Wealsointroduceafurthergeneralizationbyusingquasi-arithmeticmeansinsteadofgeneralizedmeansobtainingthequasi-LWAandthequasi-LOWAoperator.Finally,wedevelopanapplicationofthenewapproachwhereweanalyzeadecisionmakingproblemregardingtheselectionofstrategies.