简介:Thispaperdealswiththeintegrabilityofafinite-dimensionalHamiltoniansystemlinkedwiththegeneralizedcoupledKdVhierarchy.ForthispurposetheassociatedLaxrepresentationispresentedafteranelementarycalculation.ItisshownthattheLaxrepresentationenjoysadynamicalr-matrixformulainsteadofaclassicaloneinthePoissonbracketonR2N.Consequentlytheresultingsystemisprovedtobecompletelyintegrableinviewofitsr-matrixstructure.
简介:AconstructiveproofisgivenfortheinversionformulaforzonalfunctionsonSL(2,R).AconcretelyconstructedsequenceofzonalfunctionsareprovedtosatisfytheinversionformulaobtaAnedbyHarish-Chandraforcompactsupportedinfinitelydifferentiablezonalfunctfons.Makinguseofthepropertyofthissequencesomehowsimilartothatofapproximationkernels,theauthorndeducethattheinversionformulaistrueforcontinuouszonalfunctiotmon8L(2,R)somecondition.Theclassicalresultcanbeviewedasacorollaryoftheresultshere.
简介:ThispaperusesR-statisticsasprojectionindicestoconstructaclassofprojectionpursuit(PP)R-statisticsformultivariatetwosampletestsviaPPtechniques.Examplesarepresentedasapplicationstothelocationanddispersionproblems.
简介:Smeconceptsusedinknowledgebasemaintenace,suchassequence,newlaw,user'srejectionandreconstructionsofaknowledgebase,arefirstintroduced,andthenaframeworkforextendedlogicprogramming(ELP)isgiven,whereanextendedlogicprogramisequivalenttoaknowledgebase.AtransitionsystemcalledR-calculusforELPisprovided.Foragivenknowledgebaseandauser'srejection,theR-calculusforELPwilldeducebestrevisionsofthebase.ThesoundnessandthecompletenessoftheR-calculusforELPareproved,andtheR-calculusforELPisimplementedinProlog.Inaddition,theresearchiscomparedwithotherrelevantwork.