简介:Inthispaper,withPoincare’sformalism,andanindirectmethod,thecanonicalformsofthegeneralizedequationsofmotionduetoNielsenandCenovofaholonomicdynamicalsysteminthevelocity-phasespaceandtheacenleration-phasespaceareobtainedintermsofthePoincareparameters.
简介:AbinitiomolecularorbitalcalculationsofdoublynegativechargedB16H162-(D2)andneutralB16H16(Td)havebeendoneattheHF/6-31Glevel.TheyarepredictedtobechemicallyandkineticallystablebyvibrationalanalysesontheirrespectiveenergyhypersurfaceoftheHF/6-31Glevel.ThegeometricalstructureofthespeciesB16H1622-(D2)wasdiscussed.
简介:Weproveseveralinequaliesforsymmetricpostivesemidefinite,generalMmatricesandinverseM-matriceswhicharegeneralizationoftheclassicalOppenheim'sInequalityforsymmetricpositivesemidefinitematrices.
简介:TheextendedcanonicalNoetheridentitiesandcanonicalfirstNoethertheoremderivedfromanextendedactioninphasespaceforasystemwithasingularLagrangianareformulated.UsingthesecanonicalNoetheridentities,itcanbeshownthattheconstraintmultipliersconnectedwiththefirst-classconstraintsmaynotbeindependent,soaquerytoaconjectureofDiracispresented.BasedonthesymmetrypropertiesoftheconstrainedHamiltoniansysteminphasespace,acounterexampletoaconjectureofDiracisgiventoshowthatDirac'sconjecturefailsinsuchasystem.WepresenthereadifferentwayratherthanCawley'sexamplesandother'sonesinthatthereisnolinearizationofconstraintsintheproblem.Thisexamplehasafeaturethatneithertheprimaryfirst-classconstraintsnorsecondaryfirst-classconstraintsaregeneratorsofthegaugetransformation.
简介:ItisprovedthattheChebyshevpolynomial_n(x)=T_n(xcosπ/2n),hasthegreatestuniformnormon[-1,1]ofitsthirdderivativeamongtherealpolynomialsofdegreeatmostn,whichareboundedby1in[-1,1]andvanishin-1and1.
简介:In1972,Fullerprovedthatacompleteadditivesubeategory_RCofR-Modisequivalenttoamodulecategory⊿-Modifandonlyif_RC=Gen(_RU)forsomequasiprogenerator_RUand⊿≌End_RUcanonically.Inthisnotetheauthorgivesacharacterizationof_RCwhichmakes_RUaprojectiveR-moduleinthecasewhenRisarightperfectringwithidentity,andshowsthatR-ModistheuniquecompleteadditivesubcategoryofR-ModwhichisequivalenttoR-ModforaleftArtinianringR.
简介:<正>InthepresentnotethealgebraicindependenceofvaluesofseveralMahlerserieswithcertainparticularanddifferentparametersatalgebraicpointsisestablishedbymeansofatypicalapproximationmethodhandlingtheLiouvilletypeseries.
简介:InthispaperwediscusstheconvergenceofamodifiedNewton’smethodpresentedbyA.Ostrowski[1]andJ.F.Traub[2],whichhasquadraticconvergenceorderbutreducesoneevaluationofthederivativeateverytwostepscomparedwithNewton’smethod.Aconvergencetheoremisestablishedbyusingaweakconditiona≤3-2(21/2)andasharperrorestimateisgivenabouttheiterativesequence.
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简介:InthispaperaconnectivestudyofGould'sannihilationcoefficientsandAbel-Gontscharoffpolynomialsispresented.ItisshownthatGould'sannihilationcoefficientsandAbel-Gontscharoffpolynomialsareactuallyequivalenttoeachotherundercertainlinearsubstitutionsforthevariables.Moreover,apairofrelatedexpansionformulasinvolvingGontscharoff'sremainderandanewformofitaredemonstrated,andalsoillustratedwithseveralexamples.
简介:Inordertofacetheexpectedincreaseinstatisticsbetweennowand2005,theBabarexperimentatSLACisevolvingitscomputingmodeltowardadistributedmultitiersystem.ItisforeseenthatdatawillbespreadamongTier-AcentersanddeletedfromtheSLACcenter,Aunifromcomputingenvirommentisbeingdeployedinthecenters,thenetworkbandwidthiscontinuouslyincreasedanddatadistributiontoolshasbeendesignedinordertoreachatransferrateof-100TBofdataperyear,Inparallel,smallerTier-BandCsitesreceivesubsetsofdata,presentlyinKanga-Root[1]formatandlaterinObjectivity[2]format,GRIDtoolswillbeusedforremotejobsubmission.