简介：Weestablishtheconceptofshapesoffunctionsbyusingpartialdifferentialinequalites.Ourdefinitionaboutshapesincludessomeusualshapessuchasconvex,subharmonic,etc.,andgivesmanynewshapesoffunctions.Themainresultsshowthattheshapepreservingapproxi-mationhascloserelationtotheshapepreservingextension.Oneofourmainresultsshowsthatiff∈C（Ω）hassomeshapedefinedbyourdefinition,thenfcanbeuniformlyapproximatedbypolynomialsPn∈pn（n∈N）whichhavethesameshapeinΩ,andthedegreeoftheap-proximationisCω(f,n-β)withconstantsC,β>0.

简介：让F是有|F的一块地|≥3，李·平·胡昂电子邮件：lipingmath@sohu.com全文预览(小，大)[3]。苍白，Z.X.：重游的矩阵的几何学，代数学和组合数学，一个国际国会，ICAC'97，香港，由K.P编辑了。Shum等，Springer-Verlag，新加坡，1999，477486[4]。黄，L.P.：在任何部门上的hermitian矩阵的毗邻保存bijection地图与复杂物响。ActaMathematicaSinica，英语系列，23(1)，95102(2007)[5]。黄，W.L.，Höfer，R.，苍白，Z.X.：毗邻保存地图砰对称并且hermitian矩阵。Aequations数学，67(12)，132139(2004)[6]。黄，W.L.，苍白，Z.X.：矩形的矩阵的毗邻保存地图砰。Beiträgezur代数学undGeometrie，45(2)，435446(2004)[7]。黄，L.P.：在戒指上的矩阵的几何学，科学出版社，北京，2006[8]。Šemrl，P.：在Hua矩形的矩阵的几何学的基本定理上。J。代数学，248，366380(2002)[9]。Cao，C.G.，黄，L.P.，唐，X.M.：保存在交替的矩阵上的等级2的添加剂地图。Afr。向国外散居J。数学，3(2)，107113(2005)[10]。你，H.，唐，X.M.：在对称、交替的矩阵的空格的等级添加的添加剂preservers。线性代数学Appl，380，185198(2004)[11]。张，X.：在在域和应用程序上的交替的矩阵空格的等级的添加剂preservers。线性代数学Appl，397(1)，325343(2005)[12]。张，X.：在在地上的交替的矩阵的空格的等级2的Linear/additivepreservers。线性代数学Appl，396(1)，91102(2005)[13]。Havlicek，H.，Šemrl，P.：从几何学到invertibilitypreservers。Studia数学，174，99109(2006)

简介：在量信息处理，在吵闹的环境保护qubits的连贯是重要的。动态去耦(DD)它使用一个序列在qubits上扭动并且平均联合到零的qubit环境，是有另外的需要的功能的有希望的策略兼容机，例如量门。这里，我们在动态去耦和试验性的示范的理论考察最近的进步。我们由于联合到吵闹的环境给半古典作品和对qubit的量描述decoherence。基于量图画，DD的几何解释被介绍。周期的Carr-Purcell-Meiboom-GillDD和并置的DD被考察，由最近发达的UhrigDD的详细探索列在后面，它采用脉搏的最少的数字在一不相等地压制联合到进化时间的一个给定的命令的qubit环境的spaced顺序。一些新开发和观点也被讨论。

简介：LetPnbetheclassofpolynomialsofdegreeatmostnRatherandShah[15]provedthatifP∈PnandP(z)≠0in|z|<1,thenforeveryR>0and0≤q<∞,|B[P(Rz)]|q≤|RnB[zn]+λ0|q|1+zn|q|P(z)|q,whereBisaBn-operator.Inthispaper,weprovesomegeneralizationofthisresultwhichinparticularyieldssomeknownpolynomialinequalitiesasspecialWealsoconsideranoperatorDαwhichmapsapolynomialP(z)intoDαP(z):=nP(z)+(α-z)P′(z)andobtainextensionsandgeneralizationsofanumberofwell-knownLqinequalities

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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：Doyouknowthatevery14daysalanguagedies？Throughouthumanhistory,thelanguagesofpowerfulgroupshavespreadwhilethelanguagesofsmallercultureshavebecomeextinct.Asbiglanguagesspread,childrenwhoseparentsspeakasmalllanguageoftengrowuplearningthedominantlanguage.

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简介：隐私是在电子投票的一个重要问题。在电子投票的完整的隐私的概念第一被建议，不是仅仅选民的隐私被担心，而且候选人的。没有任何信任第三方，保存电子选举建筑学的隐私被介绍，为k-out-of-m选举的一种一般技术也基于分布式的ElGamal加密和混合火柴被提供。没有揭示他们的愿望和输的候选人的投票，选民能自己计算结果。而且，获胜者候选人的投票是否多于一半，能直接被验证。这个计划满足投票并且去模式并且完成完整的隐私。正确性和安全也被分析。

简介：Vehielesenlistedwitheomputing,sensingandcommunicatingdevicescancreatevehicularnetworks,asubsetofcooperativesystemsinheterogeneousenvironments,aimingatimprovingsafetyandentertainmentintraffic.Invehicularnetworks,avehicle’sidentityisassociatedtoitsowner’sidentityasauniquelinkage.Therefore,itisofimportancetoprotectprivacyofvehiclesfrombeingpossiblytracked.Obviously,theprivacyprotectionmustbescalablebecauseofthehighmobilityandlargepopulationofvehicles.Inthiswork,wetakeanon-trivialsteptowardsprotectingprivacyofvehicles.Asprivacydrawspublicconcerns,wefirstlypresentprivacyimplicationsofoperationalchallengesfromthepublicpolicyperspective.Additionally,weenvisionvehicularnetworksasgeographicallypartitionedsubnetworks(cells).Eachsubnetworkmaintainsalistofpseudonyms.Eachpseudonymincludesthecell’sgeographicidandarandomnumberashostid.Beforestartingcommunication,vehiclesneedtorequestapseudonymondemandfrompseudonymserver.Inordertoimproveutilizationofpseudonyms,weaddressastochasticmodelwithtime-varyingarrivalanddeparturerates.Ourmaincontributionincludes:1)proposingascalableandeffectivealgorithmtoprotectprivacy;2)providinganalyticalresultsofprobability,varianceandexpectednumberofrequestsonpseudonymservers.Theempiricalresultsconfirmtheaccuracyofouranalyticalpredictions.

简介：Inthispaper,wediscusstherank-l-preservinglinearmapsonnestalgebrasofHilbertspaceoperators.WeobtainseveralcharacterizationsofsuchlinearmapsandapplythemtoshowthataweaklycontinuouslinearhijectiononanatomicnestalgebraisidempotentpreservingifandonlyifitisaJordanhomomorphism,andinturn,ifandonlyifitisanautomorphismorananti-automorphism.

简介：Westudystructure-preservingalgorithmstophasespacevolumeforlineardynamicalsystemsy=Lyforwhicharbitrarilyhighorderexplicitsymmetricstructure-preservingschemes,i.e.thenumericalsolutionsgeneratedbytheschemessatisfydet()=ehtrL,wheretrListhetraceofmatrixL,canbeconstructed.Fornonlineardynamicalsystemsy=f(y)Feng-Shangfirst-ordervolume-preservingschemecanbealsoconstructedstartingfrommodifiedθ-methodsandisshownthattheschemeisstructure-preservingtophasespacevolume.

简介：ThepurposeofthispaperistoinvestigateanewtypeofevolutionproblemforclosedconvexplanecurveswhichwillpreservestheperimeterofthecurvebutexpandstheenclosedareaandthefinallimitingcurveisacircleintheHausdorffmetricintheplane.

简介：我们在场一个新歧管的学习算法叫了保存排列(LOPA)的本地Orthogonality。我们的算法被试图用仿射的转变排列多重本地邻居进一个全球坐标系统的本地正切空间排列(LTSA)方法启发。然而，LTSA经常没能保存象距离和角度那样的原来的几何数量。尽管为保存orthogonality的一个反复的排列过程被LTSA的作者建议，既不相应初始化也不实验被给。普罗克拉斯提斯Subspaces排列(PSA)实现由与退火模仿独立估计每旋转转变保存想法的orthogonality。然而，在PSA的优化是复杂、多重的分开的本地旋转可以生产全球性倾向於矛盾的结果。探讨这些困难，我们首先使用LTSA的伪逆诡计与统一全球坐标代表每本地直角的转变。第二，orthogonality限制被放松是半明确的编程(SDP)的一个例子。最后一个二拍子的圆舞反复的过程被采用进一步在直角的限制减少错误。广泛的实验证明LOPA能忠实地保存原来的数据集的距离，角度，内部产品，和邻居。在比较，当LOPA的运行时刻比PSA，MVU和MVE的显著地快时，LOPA的嵌入的表演比PSA的好、比得上象MVU和MVE一样的最先进的算法的。

简介：Characterizationsforelementaryoperatorsoflength2tobeinvertibility-preserving,apectrum-preservingorspectrurn-compressingareobtained.

简介：在这份报纸，基于并置的方法，我们在场为Korteweg-deVries(KdV)方程构造一系列本地保存结构的算法的一个统一框架包括八个multi-symplectic算法，八个本地保存精力的算法和八个本地保存动量的算法。在这些算法之中，当大多数是新的时，一些被讨论了并且广泛地使用了。这些建议算法的突出的优点是他们确切在任何时间空间区域保存本地结构。因此，本地保存结构的算法在边界条件上克服全球保存结构的算法的限制。数字实验被进行显示出建议方法的表演。而且，统一框架能容易被用于许多另外的方程。

简介：Mostimageinterpolationalgorithmscurrentlyusedsuffervisuallytosomeextenttheeffectsofblurrededgesandjaggedartifactsintheimage.Thisletterpresentsanadaptivefeaturepreservingbidirectionalflowprocess,whereaninversediffusionisperformedtoenhanceedgesalongthenormaldirectionstotheiso-photelines(edges),whileanormaldiffusionisdonetoremoveartifacts('jaggies')alongthetangentdirections.Inordertopreserveimagefeaturessuchasedges,anglesandtextures,thenonlineardiffusioncoefficientsarelocallyadjustedaccordingtothefirstorderandthesecondorderdirectionalderivativesoftheimage.ExperimentalresultsontheLenaimagedemonstratethatourinterpolationalgorithmsubstantiallyimprovesthesubjectivequalityoftheinterpolatedimagesoverconventionalinterpolations.

简介：在这篇论文，我们学习保存的强壮的稳定性(SSP)推迟的修正时间discretization方法的一个班的性质，为解决，method-of-fines策划接近夸张部分微分方程。

简介：Thecurrentstructure-preservingtheory,includingthesymplecticmethodandthemultisymplecticmethod,paysmostattentionontheconservativepropertiesofthecontinuoussystemsbecausethattheconservativepropertiesoftheconservativesystemscanbeformulatedinthemathematicalform.But,thenonconservativecharacteristicsarethenatureofthesystemsexistinginengineering.Inthisletter,thestructure-preservingapproachfortheinfinitedimensionalnonconservativesystemsisproposedbasedonthegeneralizedmulti-symplecticmethodtobroadentheapplicationfieldsofthecurrentstructure-preservingidea.Inthenumericalexamples,twononconservativefactors,includingthestrongexcitationonthestringandtheimpactonthecantilever,areconsideredrespectively.Thevibrationsofthestringandthecantileverareinvestigatedbythestructure-preservingapproachandthegoodlong-timenumericalbehaviorsaswellasthehighnumericalprecisionofwhichareillustratedbythenumericalresultspresented.

简介：在现在的纸，为Stancu操作员的凸的函数的保存形状的性质和单音的强健被给，而且，这个操作符的同时的近似问题也被考虑。