简介:LetEandFbeBanachspacesandfnon-linearC^1mapfromEintoF.ThemainresultisTheorem2.2,inwhichaconnectionbetweenlocalconjugacyproblemoffatx0∈Eandalocalfinepropertyoff'(x)atx0(seetheDefinition1.1inthispaper)areobtained.Thistheoremincludesasspecialcasesthetwoknowntheorems:thefiniteranktheoremandBerger'sTheoremfornon-linearFredholmoperators.Moreover:thetheoremgivesrisethefurtherresultsforsomenon-linearsemi-Fredholmmapsandforallnon-linearsemi-FredholmmapswhenEandFareHilbertspaces.ThusTheorem2.2notonlyjustunifiestheaboveknowntheoremsbutalsoreallygeneralizesthem.
简介:Aseriesoftitlecompoundsaswellastheirprecursorsweresynthesizedbyprecursorroute.TheirPXRDpatternswerecharacterizedwithZrW2O8orZrMo2O8modelbyRietveldmethod.Thethermalcontractionsofthecompoundsweredeterminedaccordingtothevariable-temperaturePXRDdataandNTEcoefficientswerepresented.Thetwo-phasemixtureofZrW0.4Mo1.6O8wasalsoanalyzedindividually.