简介：Segmentationofthree-dimensional(3D)complicatedstructuresisofgreatimportanceformanyrealapplications.Inthisworkwecombinegraphcutminimizationmethodwithavariantofthelevelsetideafor3DsegmentationbasedontheMumford-Shahmodel.ComparedwiththetraditionalapproachforsolvingtheEuler-Lagrangeequationwedonotneedtosolveanypartialdifferentialequations.Instead,theminimumcutonaspecialdesignedgraphneedtobecomputed.Themethodistestedondatawithcomplicatedstructures.Itisratherstablewithrespecttoinitialvalueandthealgorithmisnearlyparameterfree.Experimentsshowthatitcansolvelargeproblemsmuchfasterthantraditionalapproaches.

简介：在集合上定义了非负实值映射,利用实函数的性质,给出了三个d-集合之间复合映射的不动点存在定理,并讨论了不动点的唯一性.

简介：Inthispaper,westudytheCauchyproblemforthe3DgeneralizedNavier-Stokes-Boussinesqequationswithfractionaldiffusion:{ut+（u·▽）u+v∧2αu=-▽p+θe（3）,e3=（0,0,1）T,θt+（u·▽）θ=0,Dicu=0.Withthehelpofthesmoothingeffectofthefractionaldiffusionoperatorandalogarithmicestimate,weprovetheglobalwell-posednessforthissystemwithα≥5/4.Moreover,theuniquenessandcontinuityofthesolutionwithweakerinitialdataisbasedonFourierlocalizationtechnique.Ourresultsextendonesonthe3DNavier-Stokesequationswithfractionaldiffusion.

简介：ThispaperdiscussesthesolutionsofthelinearmatrixequationBTXB=Donsomelinearmanifolds.Somenecessaryandsufficientconditionsfortheexistenceofthesolutionandtheexpressionofthegeneralsolutionaregiven.Andalsosomeoptimalapproximationsolutionsarediscussed.

简介：这份报纸在3D学习非自治的不可压缩的非牛顿的液体的轨道asymptotic行为围住的领域。在适当拓扑学，作者为对统一轨道空间起作用的翻译semigroup证明一致轨道引起注意的人的存在。

简介：Inthisnote,wewillgiveanewproofoftheblow-upcriterionofsmoothsolutionstothe3Dincompressiblemagneto-hydrodynamicequationsbyasimpleapplicationofGagliardo-Nirenberg’sinequality.

简介：我们分类稳定的homotopy类型(n1)有2的维的polyhedra和3扭转释放的-connected,(n+k)为k的相同6。使用的技术是被Drozd给的矩阵问题(bimodule范畴)。

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简介：1.IntroductionLetRbethecollectionofallrealnumbers,andZthecollectionofallintegers.Iff1(x)andf2(x)aretwofunctionsinL2(R),theinnerproduct2>isgivenbyWesayf1(x)andf2(x)arebiorthogonal,ifFirstletusdescribeaclassoffunctions(x)and(2)inL2(R)asfollows.Thr...

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简介：Thispapercontainsadetailed,selfcontainedandmorestreamlinedproofofthel~2decouplingtheoremforhypersurfacesfromthepaperofBourgainandDemeterin2015.TheauthorshopethiswillserveasagoodwarmupforthereadersinterestedinunderstandingtheproofofVinogradov'smeanvaluetheoremfromthepaperofBourgain,DemeterandGuthin2015.

简介：作者调查eigen的系统或2的根向量的完全性

简介：在不定积分的教学中,我们会碰到形如integralfromn=1（Pn（x）dx）/(（x+Px+q）q?)的积分,如同济二版高等数学

简介：在这篇文章，我们为3D建立准确答案到Cauchy问题球状地对称的不可压缩的海军司烧方程和进一步的学习答案的存在和asymptotic行为。

简介：AnA.D.I.Galerkinschemeforthree-dimensionalnonlinearparabolicintegro-differen-tialequationisstudied.Byusingalternating-direction,thethree-dimensionalproblemisreducedtoafamilyofsinglespacevariableproblems,thecalculationissimplified;byusingalocalapproxima-tionofthecoefficientsbasedonpatchesoffiniteelements,thecoefficientmatrixisupdatedateachtimestep;byusingRitz-Volterraprojection,integrationbypartandothertechniques,theinfluencecomingfromtheintegraltermistreated;byusinginductivehypothesisreasoning,thedifficultycomingfromthenonlinearityistreated.ForbothGalerkinandA.D.I.Galerkinschemesthecon-vergencepropertiesarerigorouslydemonstrated,theoptimalH~1-normandL~2-normestimatesareobtained.

简介：本文讨论了求解Sylvester方程AXB＋CX=D的OROD迭代法（正交残量法和正交方向迭代法）的几个重要性质，证明了该算法产生的误差序列是单调递减的，同时给出了该算法的最小化性质的精确刻画，最后给出了一些数值例子．

简介：Inthisworkweconsidertheproblemofshapereconstructionfromanunorganizeddatasetwhichhasmanyimportantapplicationsinmedicalimaging,scientificcomputing,reverseengineeringandgeometricmodelling.ThereconstructedsurfaceisobtainedbycontinuouslydeforminganinitialsurfacefollowingthePartialDifferentialEquation(PDE)-baseddiffusionmodelderivedbyaminimalvolume-likevariationalformulation.Theevolutionisdrivenbothbythedistancefromthedatasetandbythecurvatureanalyticallycomputedbyit.Thedistancefunctioniscomputedbyimplicitlocalinterpolantsdefinedintermsofradialbasisfunctions.SpacediscretizationofthePDEmodelisobtainedbyfiniteco-volumeschemesandsemi-implicitapproachisusedintime/scale.Theuseofalevelsetmethodforthenumericalcomputationofthesurfacereconstructionallowsustohandlecomplexgeometryandevenchangingtopology,withouttheneedofuser-interaction.Numericalexamplesdemonstratetheabilityoftheproposedmethodtoproducehighqualityreconstructions.Moreover,weshowtheeffectivenessofthenewapproachtosolveholefillingproblemsandBooleanoperationsbetweendifferentdatasets.

简介：设{X_i,i≥1}是一列服从控制变化尾分布族（D族）的非负的、END的但不必是同分布的随机变量序列,{N_t,t≥0}是一列取非负正整数值的随机变量序列.在给定一些假设条件下,得到了随机和的S（t）=∑_（i=1）~（N（t））X_i（t≥0）的精确大偏差的结论,推广了独立情形下的相应结论.

简介：证明了指数型超椭圆方程x^2=p^2m-p^m＋n＋1无解（x，p，m，n），其中x，m，n∈N^＋，m〉n〉1，p∈P．上述结果部分解决了组合论中关于可逆Abel差集的Ma猜想．

简介：MakinguseoftheZ2×Z2symmetry,wecouldstudythestructurenearmultipleS-treakingturningpoints.Inparticular,weshowthatthereexisttwokindsofsingularpointpaththroughdoubleSbreakingturningpointsandtripleSbieakingturningpoints,onetsquadraticturningporntpathandoneisquadraticpitchforkbifurcationpointpath.SomesimpleregularextendedsystemstocornputedoubleandtripleS-breakingturningpointsareproposed.Numericalexamplesarealsogreen