简介：Wegiveabriefintroductiontoresultsontheasymptoticsofquantizationerrors.Thetopicsdiscussedincludethequantizationdimension,asymptoticdistributionsofsetsofprototypes,asymptoticallyoptimalquantizations,approximationsandrandomquantizations.

简介：在这个工作，我们在一种尺寸为p鈥揕a地方操作员学习光谱的数功能。我们显示出二条鈥搕ermWeyl鈥搕ype渐近线的存在。证明的方法是相当基本的，基于Dirichlet格子点问题，它使我们能为无限的措施的领域获得类似的结果。关键词p鈥揕aplacian-特征值-格子点先生(2000)题目分类35P20-35P30部分由FundacionAntorchas和ANPCyT皮克特人号码03-05009支持了

简介：非线性的数字方法被使用解决viscous-elastic-plastic材料影响问题。有限元素模拟同意庆祝欧洲碰撞安全分析。在大变丑的复杂材料压力分发被获得了，当影响发生时。另外，以后的估计解答者和asymptotic分析被用于敏感预先上演在发生的影响前的变丑。模拟的这部分为在汽车的保护设备的被动安全很有趣。它是数学建模的重要部分。

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：Let{X,Xn,n≥1}beasequenceofi.i.d.randomvariableswithzeromean,andsetSn=Σk=1nXk,EX2=σ2>0,λ(ε)=Σn=1∞P(|Sn|≥nε).Inthispaper,wediscusstherateoftheapproximationofσ2byε2λ(ε)undersuitableconditions,andimprovethecorrespondingresultsofKlesov(1994).

简介：ＯＮＢＡＨＡＤＵＲＡＳＹＭＰＴＯＴＩＣＥＦＦＩＣＩＥＮＣＹＩＮＡＳＥＭＩＰＡＲＡＭＥＴＲＩＣＲＥＧＲＥＳＳＩＯＮＭＯＤＥＬ￥ＬＩＡＮＧＨｕａ；ＣＨＥＮＧＰｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃｏｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉ...

简介：Westartfromarealistichalfspacemodelforthermalimaging,whichwethenusetodevelopamathematicalasymptoticanalysiswellsuitedforthedesignofreconstructionalgorithms.Weseektoreconstructthermalanomaliesonlythroughtheirroughfeatures.Withthiswayourproposedalgorithmsarestableagainstmeasurementnoiseandgeometryperturbations.Basedonrigorousasymptoticestimates,wefirstobtainanapproximationforthetemperatureprofilewhichwethenusetodesignnoniterativedetectionalgorithms.Weshowonnumericalsimulationsevidencethattheyareaccurateandrobust.Moreover,weprovideamathematicalmodelforultrasonictemperatureimaging,whichisanimportanttechniqueincanceroustissueablationtherapy.

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简介：ThepaperconsiderstheKrylov-LanczosandtheEckhoffapproximationsforrecoveringabivariatefunctionusinglimitednumberofitsFouriercoefficients.Theseapproximationsarebasedoncertaincorrectionsassociatedwithjumpsinthepartialderivativesoftheapproximatedfunction.ApproximationoftheexactjumpsisaccomplishedbysolutionofsystemsoflinearequationsalongtheideaofEckhoff.AsymptoticbehaviorsoftheapproximatejumpsandtheEckhoffapproximationarestudied.Exactconstantsoftheasymptoticerrorsarecomputed.Numericalexperimentsvalidatetheoreticalinvestigations.

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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：TheauthorsgiveMLEθ1MLofθ1inthemodelY=θ1+g(T)-σ,thenconsiderBahadurasymptoticefficiencyofθ1ML,whereTandεareindependent,gisunknown,ε～φ(-)isknownwithmean0andvarianceσ^2.

简介：Inthispaper,abetterasymptoticorderofFouriertransformonSL(2,R)isobtainedbyusingclassicalanalysisandLieanalysiscomparingwiththatof[5]、[6],andthePlanchereltheoremonCc2(SL(2,R))isalsoobtainedasanapplication.

简介：Aclassofinitialboundaryvalueproblemsforthereactiondiffusionequationsareconsidered.Theasymptoticbehaviorofsolutionfortheproblemisobtainedusingthetheoryofdifferentialinequality.

简介：Inthispaper,auniformanalysisoftheasymptoticpropertiesofhighfrequenciesofnon-uniformbars,beamsandcircularmembranesisgivenbyusingperturbationmethod,andthecaseofdiscontinuousphysicalparametersisalsodiscussed.

简介：Subjecttotheassumptionthatthecommondistributionofclaimsizesbelongstotheextendedregularvariationclass,thepresentworkobtainsasimpleasymptoticformulafortheruinprobabilitywithinarandomornonrandomhorizonintherenewalmodel.

简介：Inthisnote,weobtainanasymptoticestimateforthetimederivativeoftheΦ-entropyintermsofthelowerboundoftheBakry–EmeryΓ2curvature.InthecasesofhyperbolicspaceandtheHeisenberggroup(moregenerally,thenilpotentLiegroupofranktwo),weshowthatthetimederivativeoftheΦ-entropyisnon-increasingandconcaveintimet,alsowegetasharpasymptoticboundforthetimederivativeoftheentropyinthesecases.

简介：Inthispaper,accordingtotheformoftheasymptoticsolutionofpapers[1,2],theasymptoticmethodisextendedtothefollowingaclassofmoregeneralstrongnonlinearvibrationsystems(?)+g(x,(?))=(?)f(x,(?))(0.1)wheregandfarethenonlinearanalytical-functionsofxandx,and(?)>0isasmallparameter.Weassumethatthederivativesystemcorrespondingto(?)=0hasperiodicsolution.Therecurrenceequationsoftheasymptoticsolutionforthesystem(0.1)arededucedinthispaper,andtheyareappliedtopracticalexamples.

简介：ThepaperisdevotedtotheasymptoticpropertiesoffunctionaldifferentialequationsinBanachspaces.Thecriteriaoftheinvariantandattractingsetsareobtained.Particularly,thesufficientconditionofasymptoticstabilityoftheequilibriumpointisgivenasthesystemhasanequilibriumpoint.Severalexamplesarealsoworkedouttodemonstratethevalidityoftheresults.

简介：在它被假定的地方，+σiei(1≤i≤n)被考虑的下列heteroscedastic回归模型Yi=g(xi)那σi[2]=f(ui)，设计指(xi，ui)被知道；非随机，g；f是未知功能。在unobservable骚乱ei形式鞅差别下面，有f的g的小浪评估者的asymptotic规度正在被知道或未知功能被学习。