简介:四轮马车常数的性质在这笔记被调查。以hypergeometric功能,3F2被给的一个新代表和定义四轮马车常数的asymptotic序列的家庭的一个性质被形式化。而且,我们由在Poincar的意义使用gamma功能的比率的asymptotic扩大给四轮马车常数的另外的asymptotic扩大?
简介:Westartfromarealistichalfspacemodelforthermalimaging,whichwethenusetodevelopamathematicalasymptoticanalysiswellsuitedforthedesignofreconstructionalgorithms.Weseektoreconstructthermalanomaliesonlythroughtheirroughfeatures.Withthiswayourproposedalgorithmsarestableagainstmeasurementnoiseandgeometryperturbations.Basedonrigorousasymptoticestimates,wefirstobtainanapproximationforthetemperatureprofilewhichwethenusetodesignnoniterativedetectionalgorithms.Weshowonnumericalsimulationsevidencethattheyareaccurateandrobust.Moreover,weprovideamathematicalmodelforultrasonictemperatureimaging,whichisanimportanttechniqueincanceroustissueablationtherapy.
简介:ThepaperconsiderstheKrylov-LanczosandtheEckhoffapproximationsforrecoveringabivariatefunctionusinglimitednumberofitsFouriercoefficients.Theseapproximationsarebasedoncertaincorrectionsassociatedwithjumpsinthepartialderivativesoftheapproximatedfunction.ApproximationoftheexactjumpsisaccomplishedbysolutionofsystemsoflinearequationsalongtheideaofEckhoff.AsymptoticbehaviorsoftheapproximatejumpsandtheEckhoffapproximationarestudied.Exactconstantsoftheasymptoticerrorsarecomputed.Numericalexperimentsvalidatetheoreticalinvestigations.
简介:在这笔记,我们学习多变量伯恩斯坦多项式B的本地行为,在d维的单一的SRd上。当n趋于到无穷,为同意足够的高顺序的衍生物进入x的功能f,我们导出Bnf的完全的asymptotic扩大。n1的所有系数仅仅取决于f和x明确地被计算。结果组合的数字起一个重要作用。同等结果以一个方法由于R.张概括最近的公式。
简介:Inthisnote,weobtainanasymptoticestimateforthetimederivativeoftheΦ-entropyintermsofthelowerboundoftheBakry–EmeryΓ2curvature.InthecasesofhyperbolicspaceandtheHeisenberggroup(moregenerally,thenilpotentLiegroupofranktwo),weshowthatthetimederivativeoftheΦ-entropyisnon-increasingandconcaveintimet,alsowegetasharpasymptoticboundforthetimederivativeoftheentropyinthesecases.
简介:ThepaperisdevotedtotheasymptoticpropertiesoffunctionaldifferentialequationsinBanachspaces.Thecriteriaoftheinvariantandattractingsetsareobtained.Particularly,thesufficientconditionofasymptoticstabilityoftheequilibriumpointisgivenasthesystemhasanequilibriumpoint.Severalexamplesarealsoworkedouttodemonstratethevalidityoftheresults.
简介:Fortheinfinitedelaydifferenceequationsofthegeneralform,twonewuniformasymptoticstabilitycriteriaareestablishedintermsofthediscreteLiapunovfunctionals.
简介:Inthispaper,weconstructasymptoticperiodicsolutionsofsomegeneralizedBurgersequationsusingaperturbativeapproach.Theselargetimeasymptotics(constructed)arecomparedwithrelevantnumericalsolutionsobtainedbyafinitedierencescheme.
简介:Intheflatcase,theanswertotheproblemposedbySteenbrinkandZuckerisgiven.
简介:Inthispaper,someteststatisticsOfKolmogorovtypeandCramervonMisestypebasedonprojectionpursuittechniqueareproposedfortestingthesphericityproblemofahigh-dimensionaldistribution.Thelimitingdistributionsoftheteststatisticsarederivedunderthenullhypothesis.TheasymptoticpropertiesofBootstrapapproximationareinvestigatedandthetailbehaviorsofthestatisticsarestudied.