简介：让n≥2是一个固定积极整数，q≥3并且c是二个整数与(n，q)=(c，q)=1。我们由r表示n(δ1,δ2,c；q)(0<δ1,δ2≤1)都个整数的数字一，b令人满意的ab≡c(现代派的q)，1≤≤δ1q，1≤b≤δ2q，(一，q)=(b，q)=1并且n†(+b)。这篇论文的主要目的是学习rn(δ1,δ2,c；q)，并且为它给一个锋利的asymptotic公式。

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：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.

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简介：WereportonthefirstoperationsofthereconstructionfarmsfortheD0experiment.Datawerereadfromataperobotto50PC'srunningLinux,processed,spooledtoacentraldiskbufferformergingandthenwrittenbacktothetaperobot.Thefarmsarebeingusedsuccessfullytoreconstructthedataasitcomesin.Transferrateswelloverthe12.5MB/secneededforfulldatarateshavebeenachieved.