简介：WestructureakindofrationalsplinesfarintroducingsomeofthePadeapproximenttechniquesintorationalsplines.Inthispaper,theresultsontheexistence,uniquenessandalgorithmoftherationalsplinearegivenandanumericalexampleisprovided.

简介：我们在场多在间隔上构造决定分析的一个具体方法。方法概括科恩，Daubechies和小瓶的相应结果[Appl.Comput。泛音肛门，1(1993)，54-81]。由分操作符的使用，构造函数的表达式是更紧缩的。而且，方法更清楚地揭示一些性质多有某些近似顺序的决定分析。

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简介：<正>AssociatedwitheachfinitedirectedquiverQisaquasi-hereditaryalgebra.theso-calledtwisteddoubleofthepathalgebrakQ.Characteristictiltingmodulesoverthisclassofquasi-hereditaryalgebrasareconstructed.Theirendonorphismalgebrasareexplicitlydescribed.Itturnsoutthatthisclassofquasi-hereditaryalgebrasisclosedundertakingtheRingeldual.

简介：WeestablishtheconstructiontheoryoffunctionbaseduponalocalfieldKpasunderlyingspace.Byvirtureoftheconceptofpseudo-differentialoperator,weintroduce"fractalcalculus"(or,p-typecalculus,or,Gibbs-Butzercalculus).Then,showtheJacksondirectapproximationtheorems,BermsteininverseapproximationtheoremsandtheequivalentapproximationtheoremsforcompactgroupD(Kp)andlocallycompactgroupK+p(=Kp),sothatthefoundationofconstructiontheoryoffunctiononlocalfieldsisestablished.Moreover,theJacksontype,Bernsteintype,andequivalentapproximationtheoremsontheH?lder-typespaceCσ(Kp),σ>0,areproved;thentheequivalentapproximationtheoremonSobolev-typespaceWrσ(Kp),σ≥0,1≤r<+∞,isshown.

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简介：ThispapergivesamethodtoconstructindecomposablepositivedefiniteintegralHermitianformsoveranimaginaryqusadraticfieldQ(√-m)withgivendiscriminantandgivenrank.Itisshownthatforanynaturalnumbersnanda,therearen-aryindecompossblepositivedefiniteintegralHermitianlatticesoverQ(√-1)(resp.Q(√-2)withdiscriminanta1exceptforfour(resp.one)exceptions.Intheseexceptionalcasestherearenolatticeswiththedesiredproperties.

简介：Inthispaper,weconstructaclassofnowheredifferentiablecontinuousfunctionsbymeansoftheCantorseriesexpressionofrealnumbers.Theconstructedfunctionsincludesomeknownnondifferentiablefunctions,suchasBushtypefunctions.Thesefunctionsarefractalfunctionssincetheirgraphsareingeneralfractalsets.Undercertainconditions,weinvestigatethefractaldimensionsofthegraphsofthesefunctions,computetheprecisevaluesofBoxandPackingdimensions,andevaluatetheHausdorffdimension.Meanwhile,theHoldercontinuityofsuchfunctionsisalsodiscussed.

简介：在这份报纸，统一的近似分区的技术被用来与sigmoidal函数构造神经网络操作符的一个类。把功能的连续性的模量用作一个度量标准，连续功能在紧缩的间隔上定义的接近的操作员的错误被估计。Furthmore，两倍Fourier系列的Bochner-Riesz工具操作员被用来构造网络操作员因为由操作员的近似的接近的bivariate功能，和错误被估计。

简介：Apurelyalgebraicalgorithmforconstructingunitonsispreaented.Itisshownthatallunitonscanbeconstructedbyusingthisalgorithm.

简介：ByusingDarbouxtransformations,theauthorsgivetheexplicitconstructionforlocaliso-metricimmersionsofspaceformsMn(c)intospaceformsM2n-1(c+ε2)viapurelyalgebraicalgorithm.

简介：为在与等级2Picard组一起的各光滑的环形圆纹曲面的Fano4褶层的通用反正规的hypersurface，我们在那里证明存在在它的三条孤立的合理曲线。而且为除了一个的所有这些4褶层，沿着三条合理曲线的通用反正规的hypersurfaces的收缩能被使变形弄平是到S3的连接的和的diffeomorphic的threefolds?鴿?颌鱎？？

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简介：Robustparameterdesign(RPD)isanimportantissueinexperimentaldesigns.Ifallexperimentalrunscannotbeperformedunderhomogeneousconditions,blockingtheunitsisefective.Inthispaper,weobtainthecorrespondencerelationbetweenfractionalfactorialRPDsandtheblockingschemesforfullfactorialRPDs.Inaddition,weprovideaconstructionofoptimalblockingschemesthatmakeallmainefectsandcontrol-by-noisetwo-factorinteractionsestimable.

简介：Afamilyofauthenticationcodeswitharbitrationisconstructedfromunitarygeome-try,theparametersandtheprobabilitiesofdeceptionsofthecodesarealsocomputed.Inaspe-cialcaseaperfectauthenticationcodewitharbitrationisohtalned.

简介：在这份报纸，我们讨论夸张正切功能的一些分析性质并且与夸张正切激活函数估计神经网络操作符的一些近似错误。第一，为夸张正切功能的统一的分区的一个方程被给。然后，二种伪插值类型神经网络操作符分别地被构造到近似univariate和bivariate函数。另外，近似的错误借助于功能的连续性的模量被估计。而且为有高顺序衍生物的接近的功能，构造操作员的近似错误被估计。

简介：Inthisstudy,anewmethodologybasedontheHadamardmatrixisproposedtoconstructquantumBooleanfunctionsfsuchthatf=I2n-2P2n,whereI2nisanidentitymatrixoforder2nandP2nisaprojectivematrixwiththesameorderasI2n.TheenumerationofthisclassofquantumBooleanfunctionsisalsopresented.

简介：我们在解决高原网孔问题分析三通常使用的精力功能，也就是说Dirichlet，区域，和分离吝啬的弯曲(直接数字控制)。他们都与其它相比拥有唯一的优点，但是他们的缺点个别地限制他们的用法。我们的算法一起联合三步充分利用他们的特征。起初，Dirichlet精力与更好的拓扑学为更快的近似被优化。然后，区域精力被用来接近抑制领域。最后，DMC精力订婚完成更好收敛的步。结果证明我们的方法能在一个相当吵闹的起始的网孔下面工作，它与最后的结果甚至拓扑地不同。

简介：Inacommonauthenticationcodewitharbitration,thedishonestarbitermaymakeathreattothesecurityofauthenticationsystem.Inthispaper,anauthenticationcodewithdoublearbitersoversymplecticgeometryisconstructed,andtherelevantparametersandtheprobabilitiesofsuccessfulattacksarecalculated.Themodelnotonlypreventsdeceptionfromtheopponentandmembersofthesystem,butalsoeffectivelylimitstheattacksofsinglearbiter.Moreover,thecollusionattacksfromarbitersandparticipatorsaredifficulttosucceed.