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简介：在这份报纸，我们学习等轴的延期问题并且显示出那在Lp的联合起来的范围之间的每surjectiveisometry(???????D

简介：让f(z)是为完整的模块化的组的重量k的holomorphicHeckeeigencuspform。让f(n)是f(z)的第n个规范的Fourier系数。建议那L(sym2f，s)对称的方形的L功能与f(z)被联系，并且$\lambda_{sym^2f}(n)$(n)表示第n系数L(sym2f，s)。在这份报纸，它被证明那$$\sum\limits_{n\leqslantx}{\lambda_{sym^2f}^4(n)}=xP2(\logx)+O(x^{\frac{{79}}{{81}}+\varepsilon})，$$，在P2(t)是在度2的t的一个多项式的地方。同样，它被获得那$$\sum\limits_{n\leqslantx}{\lambda_f^4(n^2)}=x\tildeP2(\logx)+O(x^{\frac{{79}}{{81}}+\varepsilon})，$$，在哪儿$\tildeP_2(t)$是在度2的t的一个多项式。

简介：LetAbead×drealexpansivematrix.AnA-dilationParsevalframewaveletisafunctionψ∈L2(Rd),suchthattheset{|detA|n/2ψ(Ant-l):n∈Z,l∈Zd}formsaParsevalframeforL2(R~d).AmeasurablefunctionfiscalledanA-dilationParsevalframewaveletmultiplieriftheinverseFouriertransformoff■isanA-dilationParsevalframewaveletwheneverψisanA-dilationParsevalframewavelet,where■denotestheFouriertransformofψ.Inthispaper,theauthorscompletelycharacterizeallA-dilationParsevalframewaveletmultipliersforanyintegralexpansivematrixAwith|det(A)|=2.Asanapplication,thepath-connectivityofthesetofallA-dilationParsevalframewaveletswithaframeMRAinL2(Rd)isdiscussed.

简介：Inthisarticle,weshowthatifXisanexcellentsurfacewithrationalsingularities,theconstantsheafQeisadualizingcomplex.IncoefficientZe,wealsoprovethattheobstructionforZetobecomeadualizingcomplex,liesonthedivisorclassgroupsatsingularpoints.Asapplications,westudytheperversesheavesandtheweightsof-adiccohomologygroupsonsuchsurfaces.

简介：

简介：Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.

简介：在Tikhonov正则化方法的基础上将其转化为一类l1极小化问题进行求解,并基于Bregman迭代正则化构建了Bregman迭代算法,实现了l1极小化问题的快速求解.数值实验结果表明,Bregman迭代算法在快速求解算子方程的同时,有着比最小二乘法和Tikhonov正则化方法更高的求解精度.

简介：Nonlineardynamicalsystemsaresometimesundertheinfluenceofrandomfluctuations.Itisdesirabletoexaminepossiblebifurcationsforstochasticdynamicalsystemswhenaparametervaries.Acomputationalanalysisisconductedtoinvestigatebifurcationsofasimpledynamicalsystemundernon-Gaussianα-stableLévymotions,byexaminingthechangesinstationaryprobabilitydensityfunctionsforthesolutionorbitsofthisstochasticsystem.ThestationaryprobabilitydensityfunctionsareobtainedbysolvinganonlocalFokker-Planckequationnumerically.Thisallowsnumericallyinvestigatingphenomenologicalbifurcation,orP-bifurcation,forstochasticdifferentialequationswithnon-GaussianLévynoises.

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简介：应用数域上（m，l）幂等矩阵与m幂等矩阵的关系，得到了数域上（m，l）幂等矩阵的l次方幂的代数等价、相似和特征多项式相等是互为确定的结论，由此推广改进了数域上m幂等矩阵的代数等价与正交性的相应结果．

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简介：

简介：Aseriesofnovel1H-benzimidazol-1-ylacetatesand1H-benzimidazol-1-ylpropionatescontaining1H-1,2,4-triazolemoietyweresynthesizedundermicrowaveirradiationbymulti-stepreactions,inyieldsof87-94%.TheirinvitroantifungalactivitiesagainstBotrytiscinereaandSclerotiniasclerotiorumwereevaluatedbymycelialgrowthratemethod.AllthetargetcompoundsexhibithighactivitiesagainstB.cinereawiththeEC50valuesof7.96-21.74μg/mL,higherthanthatofcarbendazim.

简介：Poly(4-vinylpyridine)supportednanoparticleofcopper(Ⅰ)iodideisreportedasagreenandrecyclablecatalystfortheregioselectivesynthesisof1,4-disubstituted-1H-1,2,3-triazolesfrombenzylhalides,sodiumazideandterminalalkynesinwater.Thiscatalystcanberecoveredbysimplefiltrationandrecycledupto8consecutiverunswithoutanylossofitsefficiency.

简介：在非紧L-凸空间中建立了一个新的GLKKM定理。作为应用,获得了带上下界的广义平衡问题的解的存在定理.