简介：

简介：Theestimateoftheeigenvaluesisgivenwhentheoff-diagonalelementsinsymmetrictridiagonalmatrixarereplacedbyzero.TheresultcanbeappliedtoQRorQLalgorithm.ItisageneralizationofJiang’sresultin1987.ThisestimateissharperthanHager’sresultin1982andcouldnotfail

简介：四轮马车常数的性质在这笔记被调查。以hypergeometric功能，3F2被给的一个新代表和定义四轮马车常数的asymptotic序列的家庭的一个性质被形式化。而且，我们由在Poincar的意义使用gamma功能的比率的asymptotic扩大给四轮马车常数的另外的asymptotic扩大？

简介：Wegiveanestimateoftypesup×infonRiemannianmanifoldofdimension4foraYamabetypeequation.

简介：ＣＯＮＳＩＳＴＥＮＣＹＦＯＲＫＥＲＮＥＬＥＳＴＩＭＡＴＥＯＦＣＯＮＤＩＴＩＯＮＡＬＦＵＮＣＴＩＯＮ￥ＨＵＳｈｕｈｅ（ＤｅｐａｒｔｍｅｎｔＯｆＭａｔｈｅｍｏｔｉｃｓ，ＡｎｈｕｉＵｎｉｖｅｒｓｉｔｙ，Ｈｅｆｅｉ２３００３９，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：...

简介：为有Bn上的积极真实部分的holomorphic功能导出的更高的顺序的Schwarz精选估计被介绍。这在联合起来的磁盘上与积极真实部分为holomorphic功能在更高的顺序衍生物的Schwarz精选估计上改进更早的工作在?。关键词Schwarz精选估计-Holomorphic功能-泰勒扩大2000苏布杰克特先生分类32A10工程由国家天赋支持了中国的科学基础(Nos.10871145，10926066)并且中国(号码20090072110053)的教育部的博士程序基础。

简介：Theoptimallyweightedleastsquaresestimateandthelinearminimumvarianceestimatearetwoofthemostpopularestimationmethodsforalinearmodel.Inthispaper,theauthorsmakeacomprehensivediscussionabouttherelationshipbetweenthetwoestimates.Firstly,theauthorsconsidertheclassicallinearmodelinwhichthecoefficientmatrixofthelinearmodelisdeterministic,andthenecessaryandsufficientconditionforequivalenceofthetwoestimatesisderived.Moreover,undercertainconditionsonvariancematrixinvertibility,thetwoestimatescanbeidenticalprovidedthattheyusethesameaprioriinformationoftheparameterbeingestimated.Secondly,theauthorsconsiderthelinearmodelwithrandomcoefficientmatrixwhichiscalledtheextendedlinearmodel;undercertainconditionsonvariancematrixinvertibility,itisprovedthattheformeroutperformsthelatterwhenusingthesameaprioriinformationoftheparameter.

简介：Aclassofnonconformingfiniteelementsisconsideredinthispaper,whichiscontinuousonlyatthenodesofthequasi-uniformmesh.Weshowthatthereex-istsanessentialestimatewhichindicatestheequivalencerelation,independentofthemeshparameter,betweentheenergiesofthenonconformingdiscreteharmonicextensionsindifferentsubdomains.Theessentialestimateisofgreatimportanceintheanalysisofthenonoverlappingdomaindecompositionmethodsappliedtosecondorderpartialdifferentialequationsdiscretizedbynonconformingfiniteele-ments.

简介：Throughoutthispaper,let(Ω,ι,μ)beaprobabilityspace,Dthecollectionofallleft-continuousdistributionfunctions,andD~+={F(0)=0|F∈D},andL(Ω)thecollec-tionofallrandomvariableswhichisa.s.finiteonΩ,andL~+={ξ≥0a.s.|ξ∈L(Ω)}.Forrandommetric(normed)spaces,see[1]or[2].Theorem1Let(M,d)beacompletemetricspacef:M→M,acontractmappingwithcontractcoefficientα∈[0,1),L(Ω,m)thecollectionofallM-valuedrandomvari-

简介：为多线性的单个不可分的操作员的空间L~∞(R~n)上的行为由T_Af(x)=∫_(R~n)(Ω(x-y)定义)/(|x-y|~(n+1))((x)-(y)-▽A(y)(x-y))f(y)在Ω度零是同类的的地方，dyis考虑了，联合起来的范围上的integrable并且有顺序一的消失的时刻，A有在BMO(R~n)的顺序一的衍生物。如果Ωsatisfies一些最小尺寸状况和L~1-Dini打整齐状况，它被证明那，那么为f∈L~∞(R~n)，T_Af到处几乎是也无限的或有限几乎到处，并且在后者盒子中，T_af∈BMO(R~n)。

简介：在现在的学习，吝啬的年度沉积流入进威斯托尼斯·莱克(巴尔干半岛东部的古代国家，东北希腊)被计算。沉积数量主要从Kossynthos，Kompsatos和Travos(Aspropotamos)河的盆发源。贡献湖的整个盆区域(多山的部分)等于大约845km2。上述吝啬的年度沉积数量与在湖的吝啬的年度沉积累积相比。后者数量为22年的一个时期从湖水体积的吝啬的年度减少被估计，它借助于更旧、更新的地志的地图(深线轮廓)是坚定的。为在在提及的盆上面的三的插头的吝啬的年度沉积收益的计算，由三submodels组成的一个数学模型被使用：降雨流量submodel，土壤侵蚀submodel和沉积为溪流搬运submodel。借助于有借助于地志的地图的评价结果的数学模型的计算结果的比较令人满意、令人鼓舞。

简介：Background:Dependingontreeandsitecharacteristicscrownbiomassaccountsforasignificantportionofthetotalabovegroundbiomassinthetree.Crownbiomassestimationisusefulfordifferentpurposesincludingevaluatingtheeconomicfeasibilityofcrownutilizationforenergyproductionorforestproducts,fuelloadassessmentsandfiremanagementstrategies,andwildfiremodeling.However,crownbiomassisdifficulttopredictbecauseofthevariabilitywithinandamongspeciesandsites.Thustheallometricequationsusedforpredictingcrownbiomassshouldbebasedondatacollectedwithpreciseandunbiasedsamplingstrategies.Inthisstudy,weevaluatetheperformancedifferentsamplingstrategiestoestimatecrownbiomassandtoevaluatetheeffectofsamplesizeinestimatingcrownbiomass.Methods:Usingdatacollectedfrom20destructivelysampledtrees,weevaluated11differentsamplingstrategiesusingsixevaluationstatistics:bias,relativebias,rootmeansquareerror(RMSE),relativeRMSE,amountofbiomasssampled,andrelativebiomasssampled.Wealsoevaluatedtheperformanceoftheselectedsamplingstrategieswhendifferentnumbersofbranches(3,6,9,and12)areselectedfromeachtree.Treespecificloglinearmodelwithbranchdiameterandbranchlengthascovariateswasusedtoobtainindividualbranchbiomass.Results:Comparedtoallothermethodsstratifiedsamplingwithprobabilityproportionaltosizeestimationtechniqueproducedbetterresultswhenthreeorsixbranchespertreeweresampled.However,thesystematicsamplingwithratioestimationtechniquewasthebestwhenatleastninebranchespertreeweresampled.Underthestratifiedsamplingstrategy,selectingunequalnumberofbranchesperstratumproducedapproximatelysimilarresultstosimplerandomsampling,butitfurtherdecreasedRMSEwheninformationonbranchdiameterisusedinthedesignandestimationphases.Conclusions:UseofauxiliaryinformationindesignorestimationphasereducestheRMSEproducedbyasamplingstrategy.Howe

简介：Inthispaper,thesupercouvergenceofaclassofWilson-likeelementsisconsidered,andasuperconvergentestimateofWilson-likeelementsisobtainedforstrongregularmeshes.

简介：ThebiomassesoffishesatthebottomlayeroftheBohaiSeaareextimatedbyanalysingthedataonsamples(447hauls,morethan0.2millioninnumberor20tinweightoffishes)collectedmonthlybyourinstitutefromApril,1982toMay,1983byapairofbottomtrawlsthroughtheBohaiSea.Theexploitationproblemsarealsodiscussedinthispaper.

简介：让M与部分弯曲歧管的n维的完全的noncompactRiemannian从在下面被围住，d瑥物浥湥?牡?牰癯摩摥椠?汣獯摥映牯獭

简介：变体锋利的函数估计为multilinear被建立单个不可分的操作符。这估计的二应用也被给。

简介：最大的原则被使用在R正常速度被仅仅取决于吝啬的弯曲的光滑的功能f给的n+1,。由估计的使用，一些推论包括不可分的Harnack不平等被获得。特别地，条件与流动的答案与哪个是翻译soliton或膨胀soliton被给。

简介：ThispaperdescribestheuseoftheArc/InfoandArcViewGIStoolstoestimatesoilerosionwithUniversalSoilLossEquation(USLE).Calculationsarebedonebyusingcapabilitiesavailable.Thisstudystartwithadigitalelevationmodel(DEM)ofShaanxi,whichwascreatedbydigitizingcontourandspotheightsfromthetopographicmapon1∶250000scaleandgridthemesfortheUSLEKandCfactors.ItisnoteworthythatUSLEKcanbeobtainedbyaddingtheKfactorasanattributetoasoiltheme'stable.TheCcanbeobtainedfromtablesorusingtheinformationaboutlanduseandmanagementgivenbyUSLEprogram.AlandusethemecanbeusedtoaddtheCfactorsasanattributefield.ThepurposeofthisstudyistoestablishspatialinformationofsoilerosionusingUSLEandGISanddiscusstheanalysisofthesoilerosionandslopefailuresinGISandformulatethepossibleframework.

简介：Inthispaper,anewestimatoroftheshapeparameterinthefamilyofGammadistributionisconstructedbyusingthemomentidea,anditisprovedthatthisestimatorisstronglyconsistentandasymptoticallynormal.

简介：Inthisarticle,westudytheexplicitexpressionsoftheconstantsintheerrorestimateofthenonconformingfiniteelementmethod.WeexplicitlyobtaintheapproximationerrorestimateandtheconsistencyerrorestimatefortheWilson'selementwithouttheregularassumption,respectively,whichimpliesthefinalfiniteelementerrorestimate.Suchexplicitapriorierrorestimatescanbeusedascomputableerrorbounds.