LIMITING BEHAVIOR OF UNIFORM RECURSIVE TREES

The authors consider the limiting behavior of various branches in a uniform recursive tree with size growing to infinity.The limiting distribution ofζ_(n,m),the number of branches with size m in a uniform recursive tree of order n,converges weakly to a Poisson distribution with parameter 1/m with convergence of all moments.The size of any large branch tends to infinity almost surely.     

有限步扩散反应置限分形聚集

综合考虑扩散粒子浓度n、粒子扩散限制范围Δ、扩散粒子与种粒子或团簇相遇时，反应概率P及粒子扩散步数W的影响，提出了有限步扩散反应置限聚集的分形生长模型，模拟得到一系列典型的聚集生长图形，计算了相应的分形维数.结果表明，在粒子浓度n较小时，呈离散团簇状生长；而在粒子浓度较大时，则随反应概率P或粒子扩散步数W的增大，从离散团簇状生长转变为连续枝叉状生长. 关键词：     

A Convenient Method for the Stereoselective Synthesis of 7αHydroxycholesterol

7-Hydroxyderivativesofcholesteroldisplayawidevarietyofbiologicalactivities'-',mostofwhicharerelatedtothephysiologicalcontrolofcholesterolbiosynthesisandantitumoractivity.Inearlyreports',the7-hydroxycholesterolswerepreparedbythesequenceofacetylation,allylicchromicoxidation,andhydridereduction.Generally,theproductisamixtureof7a-and76-epimerswhichisdifficulttobeseparated.V.Kumaretal5improvedthisprocedurebyusingstereospecificreducingreagentsinsteadofthesimplehydride.7a-and7o-epimerscouldbeobtained…     

Synthesis and Structural Characterization of Adduct [La(NO_3)_3·4H_2O]·2(BQEB)

Differentkindsofopenchaincrownethershavebeensynthesizedasthemodelcompoundsofionophoresandtheirinteractionswithsodium,potassiumandrareearthionshavealsobeenstudiedl'z.PanshowedCe(III)yieldedalf1complexwithl,8-bis(8'-quinolyloxy)-3,6-dioxaandtheCe(IIl)ioncoordinatedbothtoetheroxygenandquinolinenitrogenatoms3.TUmInleridentifiedtwolanthanidenitratecomplexeshavingastoichiometryof3:2(3RE:2L)'.InordertostUdythefunctionsofbothquinolineandbenzenering,introducedintothepolyetherchain,a1inearpolyether…     

Theoretical analysis on waveform structures of pulse propagating in shallow water with an ideal thermocline

I.IntroductionDuetospatia1andtemporalvariabilityoftheocean-acousticenvironment,especially,theeffectsofboundaryaswel1asmediumonpropagationofacousticwavesinshal1owwater,theacousticpropagationisextrcmelycomp1icatcd.Multipathtransmissionisthebasiccharacteris-hcsofunderwatersoundchannels.Undctcrminedmultipathstructurescangreatlylimittheperformanceofunderwateracousticdetcction.However,ifthemultipathcharacteristicsofacousticpropagationinunderwatcrsoundchanne1sareknown,spaee-timeresolutionandpro-cess…     

Pointwise Stabilization for a Chain of Coupled Vibrating Strings

For the system representing a chain of coupled vibrating strings,we show that the associated semigroup satisfies the assumptionof spectrum-determined growth, and hence obtain conditions forenergy to decay strongly or exponentially. We examine in detailthe three-string case, and our results include those obtainedby others for the two-string case. Permanent address: Beijing Institute of Information and Control,Beijing, China.     

苯部分加氢制环己烯的非晶态Ru-M-B/ZrO2催化剂的表征

采用化学还原法，制备了高活性，高选择性非晶态RU-M-B/ZRO2催化剂，并将其用于催化苯部分加氢制环己烯，在140℃、5.0Mpa氢压下，苯转化40%时，环己烯选择性达到85%左右。环己烯最高收率达到52.1%，用XRD、SEM、BET比表面积测定等手段对摧化剂进行表征，XRD和SEM测试表明，RU-U-B/ZRO2属于非晶态，活性组分高度分散，XRD结果证实，在加氢过程中，非晶分解，RU晶化；温度愈高，RU晶化愈快，催化剂的活性、选择性与RU微晶的粒径有关，RU微晶粒径应控制在5nm左右，BET比表面积测定表明，ZRO2的负载提高了催化剂的比表面积，从而有利于活性组分的高度分散，并可阻止RU微晶的长大，讨论了B和ZRO2对提高选择性的作用。     

丙环唑配合物的合成、缓释性能及生物活性研究

Five propiconazole(L) complexes (ML₂Cl₂, M=Zn(Ⅱ), Cu(Ⅱ), Co(Ⅱ); ML₄Cl₂, M=Ni(Ⅱ), Mn(Ⅱ)) were prepared and characterized by elemental analysis and IR. These complexes exhibited favorable controlled release property, it took 40 to 120 hours to release 85% amount of ligand in the water. The toxicity determination to Botrytis cinera, Rhizoctonia cerealis, Gibberella zeae, Fussrium moniliforme and Colletotrichum orbiculare indicated that the fungicidal activities of the complexes were better than that of the ligand except Mn-complex to Rhizoctonia cereali. The EC50 of Zn-propiconazole were 0.045 2～0.144 1 μg·mL^-1, Co- and Ni-propiconazole were 0.066 3～0.210 4 μg·mL^-1 and 0.183 9～0.340 7 μg·mL^-1, respectively, and Mn-propiconazole were only 0.353 6～0.538 0 μg·mL^-1. The growth regulation experiment to wheat seeding by dressing treating indicated that inhibiting activities of the complexes to root length and stem height were weaker than that of the ligand.     

近临界水中苄叉乙酰苯的合成研究

以近临界水作为反应介质,在无外加催化剂的条件下,苯甲醛与苯乙酮可顺利反应生成苄叉乙酰苯。在最佳条件下,苄叉乙酰苯的收率可达31.4%。该方法避免了常规合成方法中有机溶剂的使用以及NaOH催化剂的加入,产物后处理简单,是一种绿色合成新过程。     

尼龙1010骤冷退火样品的晶体结构

尼龙1010的晶体结构属三斜晶系.作者最近导出了X射线衍射法(WAXD)测定尼龙1010结晶度的公式,进而考查了等温结晶时结晶温度T_C对结晶度X_C、晶粒尺寸L_(100)和氢键面相对衍射强度R的影响.发现X_C和L_(100)均随T_C升高而增大,达196℃后又减小;而R与T_C的关系则相反,呈线性降低.结晶速率快有利于分子链在垂直于氢键面的(100)晶面生长,但R值却降低了.本文利用WAXD考查了尼龙1010不同骤冷退火条件样品的晶体结构.