New Exact Solutions and Evolution of Solitons in Background Waves for （2＋1）-Dimensional Modified Dispersive Water-Wave System

With the help of the conditional similarity reduction method, some new exact solutions of the （2＋1）- dimensional modified dispersive water-wave system （MDWW） are obtained. Based on the derived solution, we investigate the evolution of solitons in the background waves.     

3-氨基-9-乙基咔唑衍生化寡糖混合物的高效液相色谱分离及激光解吸电离飞行时间质谱分析

建立了以3-氨基-9-乙基咔唑(AEC)为衍生化试剂对寡糖的标记方法。寡糖的还原端与AEC的伯氨基反应生成烯胺,再被NaBH3CN还原为二级胺,使得寡糖被AEC标记。衍生物通过反相高效液相色谱分离纯化,采用的色谱柱为Waters Symmetry C18柱(3.9 mm×150 mm,5 μm),乙腈和乙酸铵水溶液(pH 4.5)为流动相,梯度洗脱,在254 nm波长处检测,并以基质辅助激光解吸电离飞行时间质谱进行分析。在此衍生化条件和色谱条件下,葡寡糖衍生物分离良好,并且AEC衍生可显著提高葡寡糖的质谱检测灵敏度。该方法适用于寡糖的分离纯化和结构分析,并与生物质谱具有良好的兼容性,表明该方法在微量寡糖链分析方面有广阔的应用前景。     

平面停止域族{FTzz R2+} 满足条件F1-- F4

本文首次提出平面停止域族FTZ Z R2+,证明了停止域族F2T2 R+2满足F1--F4条件.     

一般的非线性数学期望—g—期望

彭实戈利用倒向随机微分方程引入了平方可积随机变量的非线性数学期望－ｇ－期望,本文扩张了ｇ－期望的定义空间。     

SYNTHESIS AND OPTICAL PROPERTIES OF POLY (THIENYLACETYLENES)*

3 -Ethynyl-4-(trimethylsilyl)thiophene (1a) and 3 -ethynyl-4-bromothiophene (1 b ) selectivelyundergo acetylene polymerizations in the presence of the MoCl_5- and WCl_6-Ph_3SiH catalysts to give soluble,high-molecular-weight poly(thienylacetylenes) (2) (M_w up to 602000) in high yields (up to 100%). Lighttransmission spectra of THF solutions of 2 continuously red-shift with increasing concentration. Theconcentratochromism shows a logarithmic concentration dependence; that is, the optical transitions of 2 arepredictably tunable by simply changing their concentrations.     

SYNTHESIS AND CATIONIC RING-OPENING POLYMERIZATION OF 1, 4-ANHYDRO-2, 3-DI-O-(P-AZIDOBENZYL)-α-D-RIBOPYRANOSE

New highly stereoregular 2, 3 -di- O-(p-azidobenzyl )-(1 →5 ) - α-D -ribofuranan was synthesized byselective ring-opening polymerization of 1, 4-anhydro-2, 3 - di-O -(p-azidobenzyl )-α-D -ribopyranose(ADABR) using phosphorus pentafluoride or tin tetrachloride as catalyst at low temperature indichloromethane. The monomer was obtained by the reaction of p - bromomethyl -phenyleneazide with 1, 4 -anhydro-α-D-ribose in DMF. The structure of poly(ADANR) was identified by specific rotation and ~(13)C-NMR spectroscopy. Acid chloride-AgCl_4 complex catalyst such as CH_2=C(CH_3)C~+OClO_4~- used in thepolymerization resulted in polymers with mixed structures, i.e. (1→5)-α-D-ribofuranosidic and (1→4)-β-D-ribopyranosidic units. However, with C_6H_5C~+OClO_4~- as catalyst, pure (1→5)-α-D-ribofuranan was obtained.The effects of catalyst, polymerization temperature and time on polymer stereoregularity were examined, andthe mechanism of the ring-opening polymerization was discussed.     

线性流形上矩阵的条件最佳逼近

设Ai,Bi,Gi为给定的矩阵,i＝1,2,S为||A1XB1－C1||2F＋||A2XB2－C2||2F＝min的解集,在给定矩阵X0的条件下,求X∈S;使得本文利用[6]的结果给出了X的表达式．     

晶界结构及其对力学性质的影响(Ⅰ)

许多实验结果表明晶界对多晶材料的力学性能产生很大影响.本文简要总结了研究晶界结构及其对多晶材料力学性能的影响方面的理论和实验工作.第一部分介绍了描述晶界结构的各种模型,包括小角晶界位错模型,大角晶界重合点阵模型、O点阵模型和位移移动重位点阵理论,还讨论了晶界原子和电子结构,以及晶界结合力和晶界能.第二部分总结了晶界结构对力学性能的影响,包括强度,断裂韧度,蠕变,疲劳,沿晶断裂(应力腐蚀开裂,氢脆,液态金属腐蚀等).文中还介绍了最近发展起来的利用控制晶界结构改进多晶材料力学性能方面的新成果,晶界设计和毫微晶材料.      

条件密度双重核估计的积分均方误差的中心极限定理

条件密度函数f(y|x)的双重核估计的积分均方误差为在适当条件下,本文讨论了I_n的渐近正态性。     

子集模拟的混合采样算法

子集模拟是当前可靠度计算领域常用的估计算法,相比于直接蒙特卡罗积分法,极大减少了函数调用的次数。子集模拟法一般使用单一采样器,然而不同采样器适用范围不同。如使用单一椭圆切片采样器,其遍历性较好但函数调用次数较多;而使用单一自适应条件采样时,其采样效率较高但样本容易陷入局部极值。单一采样器由于本身特性面对不同问题时失效概率的积分结果可能出现偏差,模拟效果不稳定。本文首次提出了一种混合采样子集模拟法,在子集模拟的前几层使用椭圆切片采样,此时失效区域收缩程度有限,函数调用次数在可接受的范围内,样本经过采样扩充后能充分探索参数空间,更有效地检测出所有失效区域。当失效区域收缩至一定限度后,使用自适应条件采样,此时种子样本继承了前几层样本较低的相关性,并在此基础上通过自适应条件采样更高效地增殖样本。本文通过四个模拟算例多种维度下的数值积分验证了该算法具有椭圆切片采样器较好的遍历性,同时采样效率位于椭圆切片采样与自适应条件采样之间,对于不同问题拥有良好的通用性。