简介:Thegeneralexpressionwiththephysicalsignificanceandpositive-definiteconditionoftheeigenvaluesof4×4Hermitianandtrace-onematrixareobtained.TheobviousexpressionofPeres'separabilityconditionforanarbitrarystateoftwoqubitsisthengivenanditsoperationalfeatureisenhanced.Furthermore,wediscusssomeapplicationstothecalculationoftheentanglement,theupperboundoftheentanglement,andamodelofthetransferofentanglementinaqubitchainwithnoise.
简介:Inthispaper,weintroduceaconditionweakerthantheLpdifferentiability,whichwecallCpcondition.Weprovethatifafunctionsatisfiesthisconditionatapoint,thenthereexiststhebestlocalapproximationatthatpoint.WealsogiveanecessaryandsufficientconditionforthatafunctionbeLpdifferentiable.Inaddition,westudytheconvexityofthesetofclusterpointsofthenetofbestappoximationsoff,{Pe(f)}ase→0.
简介:TheHelmholtzequationissometimessupplementedbyconditionsthatincludethespecificationoftheboundaryvalueofthedivergenceoftheunknown.Inthispaper,westudythevectorHelmholtzproblemindomainsofbothC~(1,1)andLipschitz.Wees-tablisharigorousvariationalanalysissuchasequivalence,existenceanduniqueness.Andweproposefiniteelementapproximationsbasedontheuncoupledsolutions.Fi-nallywepresentaconvergenceanalysisanderrorestimates.
简介:1.IntroductionLetRbethecollectionofallrealnumbers,andZthecollectionofallintegers.Iff1(x)andf2(x)aretwofunctionsinL2(R),theinnerproduct
简介:ThispaperproposestheRiceconditionnumbersforinvariantsubspace,singularsubspacesofamatrixanddeflatingsubspacesofaregularmatrixpair.Thefirst-orderperturbationestimationsforthesesubspacesarederivedbyapplyingperturbationexpansionsoforthogonalprojectionoperators.
简介:Anovelfinite-difference(FD)approximationinfrequency-domainfortheMurboundaryconditionispresentedinthispaper.CombinedwiththeFDequationsderivedforinhomogeneousanisotropicmedia,thisboundaryconditionisconvenientandeffectivetobeappliedtotheEMscatteringbyelectricallylargeobjectsofcomplexmedia.Boththememoryrequirementandthecomputingtimearedramaticallysaved,comparedwiththeMM,withthecompressedstoragetechnique.Forthecasesofdifferentmedia,RCSofcircularandrectangularcylindersarecomputed.Goodagreementisobtainedbetweentheresultsbythismethodandthoseavailable.
简介:WeconsiderthenumericalsolutionfortheHelmholtzequationinR~2withmixedboundaryconditions.Thesolvabilityofthismixedboundaryvalueproblemisestab-lishedbytheboundaryintegralequationmethod.BasedontheGreenformula,weexpressthesolutionintermsoftheboundarydata.Thekeytothenumericalreal-izationofthismethodisthecomputationofweaklysingularintegrals.Numericalperformancesshowthevalidityandfeasibilityofourmethod.Thenumericalschemesproposedinthispaperhavebeenappliedintherealizationofprobemethodforinversescatteringproblems.
简介:一个新人工的边界模型基于多方向性的播送和粘滞春天的人工的边界理论被建议在动态分析专心于压力波浪一个浸透的土壤基础。后来砍波浪(S波浪)是在一个浸透的土壤基础和一个单相的中等基础的一样,为一个单相的中等基础的一个正切的粘弹性的边界条件能也被用于浸透的土壤基础。因此,人工的边界的目的在这建议纸主要是专心于P波浪的二种类型一个浸透的土壤基础。主要想法是在浸透的土壤基础的P波浪的压力被分解成二种类型。应力的第一种类型,ra,被第一条人工的边界吸收。应力的第二种类型,rb,被第二条人工的边界产生的压力平衡。最终,P波浪(fast-P-waves和slow-P-waves)的两种类型被在这份报纸建议的人工的边界模型吸收。特别地,注意fast-P-waves和slow-P-waves在第一条边界的位置被吸收。因此,此处建议的人工的边界模型能同时吸收P快的波浪,P慢的波浪并且砍波浪。最后,一个数字例子被给检查建议人工的边界模特儿,并且结果证明它是很精确的。
简介:INTRODUCTIONItisaninterestingresearchareausingureaseinhibitorstocurbureaseactivityinsoil,todecreasetherateofureahydrolysisandtoincreasetherecoveryofureanitrogen(Zhou,1984;Guan,1985).Fewstudieshavebeenconductedontherelationshipbetweentheeffectivenessoftheinhibitorsappliedtoriceandtheenvironmentalconditionsandits
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简介:一个新方法被建议由同时检测本地损坏并且从几结构的动态回答识别支持刺激在未知支持刺激下面估计结构的条件。对结构起作用的支持刺激被直角的多项式近似建模,并且关于它的物理参数和直角的系数的结构的动态反应的敏感被导出。鉴定方程基于泰勒是第一顺序近似,并且在一个反复的过程与抑制最少平方的方法被解决。一十五故事砍造模型和五故事的三维的钢框架结构被学习验证建议方法。有吵闹的测量加速的数字模拟证明建议方法罐头精确地检测本地损坏并且从仅仅结构的几回答识别未知支持刺激。这个方法为检测结构的损坏并且与未知输入和不完全的测量产量信息更新模型提供一条新途径。