简介：Inthispaper,amethodtoconstructasurfacewithpointinterpolationandnormalinterpolationispresented.Analgorithmtoconstructthediscreteinterpolationisalsopresented,whichhasthetimecomplexityO(NlogN),whereNinthenumberofscatteredpoints.

简介：在这糊，基于一分离光谱问题并且相应零个弯曲代表，isospectral和nonisospectral格子层次被建议。代数学的结构分离零个弯曲方程然后为如此的integrable系统被建立。相应于isospectral和non-isospectral格子流动的宽松的操作符的交换关系被得出，在isospectralhierarchyand的每个格子方程的主人对称被产生，因此，为格子integrable系统的对称代数学从这个理论被产生。

简介：这被显示出nonautonomous分离Toda方程和它的B?cklund转变能从分离KP方程和分离二维的Toda方程的层次的减小被导出。nonautonomous的决定因素答案的一些明确的例子包括Askey-Wilson多项式的分离Toda方程被介绍。最后，我们讨论在nonautonomous之间的关系分离Toda系统和nonautonomous分离Lotka-Volterra方程。

简介：ThecharacterizationofisotropicBesovspacesforintermsofprogressivedifferencesofafunctionondyadicpointsisobtained.Moreover,forwithananalogouscharacterizationofanisotropicBesovspacesispresented.

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简介：我们在二维的非线性的格子与等于1的拓扑的费用在局部性的状态的二种类型上考虑anisotropy的效果，用分离非线性的Schr?是的dinger方程一个范例模型。我们全球性发现有不同繁殖常数的on-site-centered旋涡不是马厩，和那繁殖常数的上面、更低的边界存在。在这二条边界之间的区域是on-site-centered旋涡是不稳定的在外面领域。当anisotropy参数逐渐地被增加，这个区域在尺寸减少。我们也在各向异性的格子上认为off-site-centered是旋涡，它在这种格子类型和任何一个变换上是不稳定的进稳定的四极或倒塌。我们发现进四极的off-sitecentered旋涡的转变，发生在各向异性的格子上，不能发生在各向同性的格子上。在四极盒子中，一个繁殖常数区域也存在，在哪个外面局部性的状态不能稳定地存在。这个区域上的anisotropy的影响与它on-site-centered旋涡盒子上的效果几乎相同。

简介：Atwospeciesdiscretecommensalismsystemisproposedandstudied.BytheJury'sconditionsforthestabilityofsecondorderdiscretesystem,thelocalstabilitypropertyofpositiveequilibriumisinvestigated;afterthat,sufficientconditionswhichensuretheglobalasymptoticstabilityoftheinteriorequilibriumareobtained.Anexampletogetherwithitsnumericsimulationisgiventoillustratethefeasibilityofthemainresult.

简介：ResultsonsupervisorycontrolofdiscreteeventprocessesaremainlyconcernedwithdesigningacontrollersuchthattheclosedloopsystemgeneratesalanguageLwhichcoincideswiththetargetlanguage.Inthispaperweconsidersupervisorycontrolproblemforaclassofdiscreteeventprocesseswhenthedesigntargetisthatacertainsetoflanguagepatternscannotoccurintheclosedlooplanguage.AheuristicsupervisorisconstructedviatheheuristicsearchmethoddevelopedinAI.Thisschemerequiresonlytheinformationaboutthecontrollabilityoftheeventsymbolset.Itiscapableofdesigningamodularheuristicsupervisorwhentherearemanysuchforbiddenstrings.Effectivenessofsuchasupervisorisprovedforsystemswithperfectandpartialobservation.

简介：Numericalsimulationofantennaeisatopicincomputationalelectromagnetism,whichisconcernedwiththenumericalstudyofMaxwellequations.BydiscreteexteriorcalculusandthelatticegaugetheorywithcoefficientR,weobtaintheBianchiidentityonprismlattice.Bydefininganinnerproductofdiscretedifferentialforms,wederivethesourceequationandcontinuityequation.ThoseequationscomposethediscreteMaxwellequationsinvacuumcaseondiscretemanifold,whichareimplementedonJavadevelopmentplatformtosimulatetheGaussianpulseradiationonantennaes.

简介：StabilizedorChebyshevexplicitmethodshavebeenwidelyusedinthepasttosolvestiffordinarydifferentialequations.MakinguseofspecialpropertiesofChebyshev-likepolynomials,thesemethodshavefavorablestabilitypropertiescomparedtostandardexplicitmethodswhileremainingexplicit.Anewclassofsuchmethods,calledROCK,introducedin[Numer.Math.,90,1-18,2001]hasrecentlybeenextendedtostiffstochasticdifferentialequationsunderthenameS-ROCK[C.R.Acad.Sci.Paris,345(10),2007andCommun.Math.Sci,6(4),2008].InthispaperwediscusstheextensionoftheS-ROCKmethodstosystemswithdiscretenoiseandproposeanewclassofmethodsforsuchproblems,theT-ROCKmethods.Onemotivationforsuchmethodsisthesimulationofmulti-scaleorstiffchemicalkineticsystemsandsuchsystemsarethefocusofthispaper,butournewmethodscouldpotentiallybeinterestingforotherstiffsystemswithdiscretenoise.TwoversionsoftheT-ROCKmethodsarediscussedandtheirstabilitybehaviorisanalyzedonatestproblem.ComparedtotheT-leapingmethod,asignificantspeed-upcanbeachievedforsomestiffkineticsystems.Thebehavioroftheproposedmethodsaretestedonseveralnumericalexperiments.

简介：Inthispaperwediscusstheproblemofapproximatingdistributionsincertaindiscretelifeclasses.LetXbearandomvariable（r.v.）takingnonnegativeintegers,EX=μ.SupposeYisageometricr.v.takingnonnegativeintegersandwiththesamemeanμ.DenoteB2=（?）,α=1-（B2）/（μ2）,Δ（X,Y）=（?）|P（X≥k）-P（Y≥k）|.Themainresultsare:1)IfX∈（D）DMRL（discretedecreasingmeanresiduallife）,thenΔ（X,Y）≤max(α,1-e-2α).2)IfX∈（D）NBUE（discretenewbetterthanuseinexpectation）thenΔ（X,Y）≤max(α,1-e-（2α）1/2.

简介：Inthispaper,asufficientandnecessaryconditionisobtainedtoensurethatthespectrumofaclassof2n-orderweighteddifferentialoperatorsisdiscrete.TheproofisbasedonthemethodofcertainweightedSobolevspacestobecompactlyembeddedinweightedL^2(R).

简介：Inthispaperwestudyshadowingpropertyforsequencesofmappingsoncompactmetricspaces,i.e.,nonautonomousdiscretedynamicalsystems.Weinvestigatetherelationsofvariousexpansivitypropertieswithshadowingandh-shadowingproperty.

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简介：分离对称违背的测试在在粒子物理的标准模型理解弱相互作用的结构起了一个重要作用。历史上，这些大小广泛地与K和B介子的大样品在实验被执行了。一台高光明魅力设备与机会介绍物理学家包括地探索分离对称违背并且用雷普顿，魅力介子，和charmedbaryons测试标准模型。这份报纸为一家未来魅力工厂讨论几可能的大小。

简介：绳的一个分离模型被开发并且过去常模仿在一端修理的绳的飞机运动。实际上，二个系统被介绍，其成员是僵硬却非理想的关节包含弹性或驱散。驱散被粘滞的抑制简单地反映当模特儿，而弯曲僵硬概念为横梁和简单几何公式基于古典弯曲弯曲的时刻关系。运动的方程被导出，他们的复杂性从计算观点被讨论。自从修改扩大向后的区别，现金的公式(MEBDF)被实现解决结果起始的价值问题，技术计划被构画出。数字实验弹性被执行并且影响并且在模型的行为上抑制被分析。基本精力原则被用来验证获得的结果。

简介：Abstract,Asystemreceivesshocksatsuccessiverandompointsofdiscretefime,

简介：为计划接近的充分分离的放松的二个班在房间熵不平等上介绍研究分级的能量守恒定律。计划的主要优点；有一个生硬来源术语的令人放松的系统的构造的评论；结论。

简介：Inthispaper,weestablishsomenewdiscreteinequalitiesofOpial-typewithtwosequencesbymakinguseofsomeclassicalinequalities.Theseresultscontainasspecialcasesimprovementsofresultsgivenintheliterature,andtheseimprovementsarenewevenintheimportantdiscretecase.

简介：WeconsiderthemultidimensionalabstractlinearintegralequationofVolterratypex（t）+（*）∫Rtα（s)x(s)ds=f(t),t∈R，（1）asthelimitofdiscreteStieltjes-typesystemsandweproveresultsontheexistenceofcontinuoussolutions.Thefunctionsx,αandfareBauachspace-valueddefinedonacompactintervalRofR^nRtisasubintervalofRdependingont∈Rand(*)fdenoteseithertheBochner-LebesgueintegralortheHenstockintegral.Theresultspresentedheregeneralizethosein[1]andareinthespiritof[3].Asaconsequenceofourapproach,itispossibletostudythepropertiesof(1)bytransferringthepropertiesofthediscretesystems,TheHenstockintegralsettingenablesustoconsiderhighlyoscillatingfunctions.