简介：ＡＮＩＮＴＥＲＳＥＣＴＩＯＮＰＲＯＰＥＲＴＹＯＦＴＨＥＳＩＭＰＬＥＲＡＮＤＯＭＷＡＬＫＳＩＮＺ￣ｄＺＨＯＵＸＩＡＮＹＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ１００８７５，Ｃｈｉｎａ）Ａｂｓｔ...

简介：Thispaperderivesfirstordernecessaryandsufficientconditionsforunconstrainedconed.c.Programmingproblemswheretheunderlinedspaceispartiallyorderedwithrespecttoacone.Theseconditionsaregivenintermsofdirectionalderivativesandsubdifferentialsofthecomponentfunctions.Moreover,conjugatedualityforconed.c.Optimizationisdiscussedandweakdualitytheoremisprovedinamoregeneralpartiallyorderedlineartopologicalvectorspace(generalizingtheresultsin[11]).

简介：ALeverrier-likealgorithmispresentedwhichallowsthecomputationofthetransferfunctionofalinearregularsystemfromitsm-Dstate-spacedescription,withoutinvertingamultivariablepolynomialmatrix.ThisalgorithmisanextensionoftheclassicLeverrier'salgorithmfor1-Dsystemanditreducesthecomputationalcost.ra-DCayley-Hamiltontheoremisalsoshownbythealgorithm.

简介：Wetackletheproblemofconstructing2DcentroidalVoronoitessellationswithconstraintsthroughanefficientandrobustconstructionofboundedVoronoidiagrams,thepseudo-dualoftheconstrainedDelaunaytriangulation.WeexploitthefactthatthecellsoftheboundedVoronoidiagramcanbeobtainedbyclippingtheordinaryonesagainsttheconstrainedDelaunayedges.Theclippingitselfisefficientlycomputedbyidentifyingforeachconstrainededgethe(connected)setoftriangleswhosedualVoronoiverticesarehiddenbytheconstraint.TheresultingconstructionisamenabletoLloydrelaxationsoastoobtainacentroidaltessellationwithconstraints.

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简介：Thispapergivesthedefinitionsandsomepropertiesofε-directionalderivateandε-subgradientsofcone-convexfunction.Fromthem,theoptimalityconditionsoflocalandglobaloptimalpointofunconstrainedcone-d.c.programmingaregained.Atlast,thedualitytheoremsofthisprogrammingarepresented.

简介：Aseriesof2’-purineandpyrimidinederivativesof1’,4’-anhy-dro-2’-deoxy-D-arabitol(1)and1’,4’-anhydro-2’-deoxy-D-altritol(2)weresynthesizedregio-andstereo-selectivelyfromD-sorbitolthroughsomeconversioninhighyields.

简介：利用L-脯氨酸催化的5-氯水杨醛（1）与6-甲基-4-羟基吡喃酮（2）的缩合反应及硫酸铜催化下与1,3-二甲基-5-氨基吡唑（3）的串联反应,合成得到了10-氯-1,3-二甲基-5-（2-氧代丙基）色烯并[4,3-d]吡唑并[3,4-b]吡啶-6（3H）-酮（4）和10-氯-5-二乙氧基甲基-1,3-二甲基色烯并[4,3-d]吡唑并[3,4-b]吡啶-6（3H）-酮（5）.化合物5的结构通过单晶X射线衍射法确定：晶体属于三斜晶系,空间群P-1;相对分子质量Mr=803.68;晶胞参数a=1.03160（10）nm,b=1.42900（13）nm,c=1.44268（15）nm;V=1.9448（3）nm~3;Z=2;晶胞密度Dc=1.372g/cm~3;吸收系数μ=0.228mm-1;单胞中电子的数目F（000）=840.晶体结构用直接法解出,经全矩阵最小二乘法对原子参数进行修正,最终的偏离因子为R=0.0681,wR=0.2051.在晶体结构中色烯环与吡啶环及吡唑环近似于共平面.

简介：同学们刚刚接触电学时往往对根据并联实物图画电路图以及根据并联电路图画对应的实物图感到困难．究其原因，还是没有掌握解题方法．下面本文将结合实例对这两类问题的解题方法作浅显的介绍．

简介：设G是一个图.设g和f是两个定义在V(G)上的整值函数使得对V(G)所有的顶点x有g(x)f(x).图G被称为(g,f,n)-临界图,如果删去G的任意n个顶点后的子图都含有G的(g,f)-因子.本文给出了图是(a,b,n)-临界图几个充分条件.进一步指出这些条件是最佳的.例如,如果对V(G)所有的顶点x和y都有g(x)＜f(x),n+g(x)dG(x)和g(x)/(dG(x)-n)f(y)/dG(y),则G是(g,f,n)-临界图.

简介：MP3风靡我们的时候，我们就开始患上MP3疯魔症——眼睛睁开的第一秒，便搜索最爱的MP3，低头走路，孤立进食，默默无语……自始至终，活在一个人的世界里，你说，这不是疯了是怎么了？

简介：The2Dplanegasflowunderheating(withnonentityboundarycondition)hasbeendiscussedbytheanalyticalapproachinthispaper.Theapproximateanalyticalsolutionshavebeenobtainedfortheflowpassingvariouskindsofheatsources.Solutionsdemonstratethethermaldisplacementphenomenaarestronglydependontheheatingintensity.

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简介：先建立除环上的矩阵范畴，并证明这个范畴是Ａｂｅｌ范畴，然后利用范畴论中的结论给出除环上矩阵方程ＡＸＢ＝Ｄ有解的条件。

简介：ThispapereonsidersanARIMA（p,d,q）medel.Amethodforestimatingtheorderdandtestingthehypothesis:d=d0isgiven.Theasymptoticpropertiesoftheestimatorhavebeendiscussed.

简介：Inthispaper,anewproofofD’AlembertformulaforCauchyproblemsofwaveequationisproposed.AndsomeD’Alembert-typeformulasforCauchyproblemwithdiscontinuouscoefficientsonsemi-infiniteinitialboundaryvalueproblemareproposed.Basedonabovediscussion,thec(?)racteristicsmethodsforthedirectandinverseproblemsofthestresswaveequationforuniformlayeradelasticmediumareinvestigated.Theaimofthispaperistostressthesignificanceandapplicationofthecharacteristicsconceptandapproach.

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简介：Theaimofthispaperistogiveasimpleproofoftherestrictiontheoremforthemaximaloperatorsonthed-dimensionalEuclideanspaceRd,whosetheoremwasprovedbyCarro-Rodriguezin2012.Moreover,weshallgivesomeremarksoftherestrictiontheoremforthelinearandthemultilinearoperatorsbyCarro-RodriguezandRodriguez,too.

简介：Cavitationisoneofthetroublesomeproblemsinrocketturbopumps,andsincemostofhigh-efficiencyrocketpropellantsarecryogenicfluids,socalled'thermodynamiceffect'becomesmoreevidentthaninwater.Inthepresentstudy.numericalandexperimentalstudyofliquidnitrogencavitationin2DLavalnozzlewascarriedout,sothattheinfluenceofthermodynamiceffectwasexamined.Itwasrevealedthattemperatureandcavitationhavestronginter-relationshipwitheachotherinthermo-sensitivecryogenicfluids.

简介：Inthispaper,effectsonofsixtypeofresinsthedecolorizationofD-ribosezymoticfluidhavebeenstudiedforthefirsttime.TheresultsshowthatresinNKA-IIhasthebesteffect.thedecolorizationrageofD-ribosezymoticfluidis91%atvelocityof1.0BV/hrand25℃,theadsorptioncapacitycanreachupto5.7BV.Theeffectsofadsorptionconditionsaswellasconditionsofresinregenerationontheresindecolorizationcapabilitywerealsostudied.