简介:在光线的基础功能的理论,数学家们把光线的基础功能的translates的线性联合用作interpolants。这些线性联合的集合是一个normed向量空格。这个空格能被完成并且变得一个Hilbert空格,叫了本国的空间,它在最后十年是很重要的。本国的空格然后包含不是光线的基础函数的线性联合的一些抽象元素。这些抽象元素的意思充分不被知道。这份报纸为这些元素论述一些解释。本国的空格被嵌进一些著名空格。例如,Sobolev空间被显示是一个本国的空格。因为许多微分方程在Sobolev空间有答案,我们能因此接近由光线的基础功能的线性联合的答案。而且,嵌进本国的空间L2()的著名问题被作者也解决。
简介:TheNeighborhoodPreservingEmbedding(NPE)algorithmisrecentlyproposedasanewdimensionalityreductionmethod.However,itisconfinedtolineartransformsinthedataspace.Forthis,basedontheNPEalgorithm,anewnonlineardimensionalityreductionmethodisproposed,whichcanpreservethelocalstructuresofthedatainthefeaturespace.First,combinedwiththeMercerkernel,thesolutiontotheweightmatrixinthefeaturespaceisgottenandthenthecorrespondingeigenvalueproblemoftheKernelNPE(KNPE)methodisdeduced.Finally,theKNPEalgorithmisresolvedthroughatransformedoptimizationproblemandQRdecomposition.Theexperimentalresultsonthreereal-worlddatasetsshowthatthenewmethodisbetterthanNPE,KernelPCA(KPCA)andKernelLDA(KLDA)inperformance.
简介:Differenceexpansion(DE)isoneofthefamousschemesinthefieldofreversibledatahiding.Withthehighefficiencyandsimplicity,DEalsohasreceivedmoreattentionovertheyears.DEhasagoodinformationcapacity,butduetoitsmajorlocationmap,thepurepayloadisratherlow.Thereforemanyscholarsdidrelevantimprovementswhichletnpixelsasaunitinsteadoftheoriginaltwopixelsasaunitandcanadaptivelyadjustthenumberofembeddingsecretinformationaccordingtothesmoothnessdegreeoftheblock,whichachievestheresultofimprovingtheinformationpayloadortheimagequality.Inthispaper,thestudyofDE-basedreversibledatahidingschemesiscomprehensivelydiscussed.TheperformanceofDEbasedschemesisevaluatedandcomparedintermsofembeddingcapacityandstego-imagequality.
简介:ThisstudyfocusesontheanisotropicBesov-LionstypespacesBp,θl(Ω;E0,E)associatedwithBanachspacesE0andE.Undercertainconditions,dependingonl=(l1,l2,…,ln)andα=(α1,α2,…,αn),themostregularclassofinterpolationspaceEαbetweenE0andEarefoundsothatthemixeddifferentialoperatorsDαareboundedandcompactfromBp,θl+s(Ω;E0,E)toBp,θs(Ω;Eα).Theseresultsareappliedtoconcretevector-valuedfunctionspacesandtoanisotropicdifferential-operatorequationswithparameterstoobtainconditionsthatguaranteetheuniformBseparabilitywithrespecttotheseparameters.BytheseresultsthemaximalB-regularityforparabolicCauchyproblemisobtained.Theseresultsarealsoappliedtoinfinitesystemsofthequasi-ellipticpartialdifferentialequationsandparabolicCauchyproblemswithparameterstoobtainsufficientconditionsthatensurethesameproperties.
简介:(VNE)虚拟网络嵌入是网络虚拟化的必要部分,它为未来网络被看作最有希望的方法之一。它的主要对象是高效地分配一个虚拟网络(VN)的节点和到一个分享的底层网络(SN)的连接。NP难、退出的研究提出了几个启发式的算法。然而,大多数算法仅仅考虑节点的本地资源,例如中央处理器和带宽(BW),到决定嵌入,并且忽略网络属性的重要影响。基于全部网络的属性,在每个节点之间的连接的一个模型被提出测量节点,和一个新二阶段的嵌入算法评价的资源被建议。此后,印射的节点和印射的连接能联合被考虑。当减少运行时刻时,广泛的模拟证明建议算法由增加VN请求的收入/费用比率和接受比率改进VNE的性能。
简介:LetFF_vbethesetoffaultynodesinann-dimensionalfoldedhypercubeFQ_nwith|FF_v|≤n-1andallfaultyverticesarenotadjacenttothesamevertex.Inthispaper,weshowthatifn≥4,theneveryedgeofFQn-FF_vliesonafault-freecycleofeveryevenlengthfrom6to2~n-2|FF_v|.
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简介:Thispaperproposesanewtechniquethatisusedtoembeddepthmapsintocorresponding2-dimensional(2D)images.Sincea2Dimageanditsdepthmapareintegratedintoonetypeofimageformat,theycanbetreatedasiftheywereone2Dimage.Thereby,itcanreducetheamountofdatain3Dimagesbyhalfandsimplifytheprocessesforsendingthemthroughnetworksbecausethesynchronizationbetweenimagesfortheleftandrighteyesbecomesunnecessary.Weembeddepthmapsinthequantizeddiscretecosinetransform(DCT)dataof2Dimages.Thekeytothistechniqueiswhetherthedepthmapscouldbeembeddedinto2Dimageswithoutperceivablydeterioratingtheirquality.Wetrytoreducetheirdeteriorationbycompressingthedepthmapdatabyusingthedifferencesfromthenextpixeltotheleft.Weassumethatthereisonlyonenon-zeropixelatmostononehorizontallineintheDCTblockbecausethedepthmapvalueschangeabruptly.Weconductanexperimenttoevaluatethequalityofthe2Dimagesembeddedwithdepthmapsandfindthatsatisfactoryqualitycouldbeachieved.
简介:这笔记学习关上的面向的Riemannian3-manifoldM不变的Chern-Simons。,第一成就是建立公式CS(e)鈥?CS()=degAe并且是二(全球)M的框架,和A:(3)M鈫?那么是鈥渄ifference鈥?地图。有趣的现象是为许多3-manifolds的各种各样的框架的Chern-Simons积分的鈥渏umps鈥?是至少二,而不是一个。第二个目的是给CS(e+)和CS的一个明确的代表(e?),在哪儿e+和e吗?假如M3上的鈥渓e英尺鈥?和鈥渞ight鈥?quaternionic框架分别地从沉浸M3鈫?E4被导致。因而,我们在S3(伯杰范围)上发现许多度量标准以便他们不能保角地在E4被嵌入。关键词Chern-Simons不变-伯杰范围-保角的嵌入先生(2000)题目分类53C42-58A15由NSFC支持了(资助Nos.10531090并且10229101)并且江畅学者编程序
简介:Theparameterembeddingmethodisappliedfornumericallysolvingtheperturbedconservativesystems.BymeansofNewtonianiteration,asimplealgorithmhasbeenconstructed.Finally,theconvergenceoftheiterationisproved.
简介:AbstracthomornorphismsbetweensubgroupsofalgebraicgroupswerestudiedindetailbyA.Borel,J.Tits^(1)andB.Weisfeiler^(2)providedthattheimagesofthehomomorphismsareZariskidensesubsetsandthatthefieldsoverwhichalgebraiegroupsaredefinedareinfinite,ThepurposeofthispaperistodetermineallembeddinghomomorphismsofSLn(κ)intoSLn(K)whenκandKareanyfieldsofthesamecharacteristic,withoutassumptionofZariskidensityandinfinitudeoffields.TheresultinthispapergeneralizesaresultofChenYuonhomomorphismsoftwodimensionallineargroups^(3).