荧光猝灭法研究苯乙烯氧化物与DNA的相互作用

荧光猝灭法是一种可以研究苯化合物与ＤＮＡ相互作用的动态过程的方法。研究结果表明，苯乙烯氧化物与ＤＮＡ的相互作用与苯乙烯氧化物浓度的关系服从动力学一级方程。     

关于中间激波的回顾与展望

中间激波是传统理论认为在物理上不可能实现的一类激波，但是，近年来在数值模拟中发现了它的结构，因此，在国际上引发了中间激波研究的高潮．本文首先系统地回顾了中间微波的研究历史和发展，给出了传统的激波演化性理论，并通过引用演化性理论，否定了中间激波的稳定存在．然后，介绍了近年来在中间激波方面的工作及进展情况，最后阐述了我们的一些看法．     

Reversible single crystal to single crystal transformation with anion exchange-induced weak Cu2+···I⁻ interactions and modification of the structures and properties of MOFs

{[Cu(6)(TTTMB)(8)(OH)(4)(H(2)O)(6)]·8(NO(3))·34.5H(2)O}(n) can reversibly transform to {[Cu(6)(TTTMB)(8)I(3)]·9I·26H(2)O}(n) upon a single crystal to single crystal process. The transformation is accompanied by the formation of weak Cu(2+)I(-) interactions and changes in the coordination numbers, as well as modulation in their properties.     

A precise hexagonal octadecanuclear Ag macrocycle with significant luminescent properties

The first hexagonal octadecanuclear Ag macrocycle [Ag(18)(TTTMB)(12)](NO(3))(18)·30H(2)O has been hydrothermally synthesized. The outside and inner diameters of the unprecedented architecture are about 27.72(13) ? and 15.37(7) ?, respectively. This complex displays a huge increase in the intensity and lifetime of phosphorescence with decreasing temperature.     

《许宝(马录)全集》简介

1983年1月,英文版《许宝騄全集》(PAO-LU HSU COLLETED PAPERS)由西德Springer-Verlag出版发行了。全书共五百八十九页,收集了数学论文41篇(40篇正文,一篇附录,详细目录见本文的附)。钟开莱先生写了序言,说明收集编辑的经过;T,W,Anderson、钟开莱、E.L.Lehmann介绍了许先生的生平和他在学术上的贡献(这四篇译文在1980年《数学的实践与认识》上发表了);还有江泽涵、段学复先生合写的一篇     

A Hypothesis Testing Problem in the Linear Model (in English)

本文讨论了多元线性模型中的一个假设检验问题。假定 $\[{E(Y) = A\theta + B\eta }\]$ $Y的各行独立、正太、同协差阵V$ 现在要检验假设H_0:存在矩阵C使$\theta= C\eta$ 是否成立。首先可将问题化为法式的形式，对法式分两种情况进行讨论： （一）$[V = {\sigma ^2}I,{\sigma ^2}\]$未知，此时可求出 \theta,C，\sigma ^2的最大似然估计（当 H^0成立时）是 $[\left\{ {\begin{array}{*{20}{c}} {\hat \theta = {{({I_p} + \hat C'\hat C)}^{ - 1}}({y_1} + \hat C'{y_2})}\{\hat C = - {{({{T'}_{22}})}^{ - 1}}{{T'}_{12}}}\{{{\hat \sigma }^2} = \frac{1}{{nk}}(\sum\limits_{j = p + 1}^{p + q} {\lambda _j^* + \sum\limits_{j = 1}^k {{d_j})} } } \end{array}} \right.\]$ 其中y_1,y_2是法式 $[E\left( {\begin{array}{*{20}{c}} {{y_1}}\{{y_2}}\{{y_3}} \end{array}} \right) = \left( {\begin{array}{*{20}{c}} \theta \\eta \0 \end{array}} \right)\begin{array}{*{20}{c}} p\q\{n - (p + q)} \end{array}\]$ 中的资料阵y_1,y_2,d_1,\cdots，d_k是y^'_3y_3的全部特征根，$[\lambda _1^* \ge \cdots \lambda _{p + q}^*\]$是$[\left( {\begin{array}{*{20}{c}} {{y_1}}\{{y_2}} \end{array}} \right)\left( {\begin{array}{*{20}{c}} {{{y'}_1}}&{{{y'}_2}} \end{array}} \right)\]$的全部特征根，相应特征向量依$\lambda^*_i$的大小顺序从左到右排成矩阵T，T的分块子阵是T_ij，即 $[T = \left( {\begin{array}{*{20}{c}} {{T_{11}}}&{{T_{12}}}\{{T_{21}}}&{{T_{22}}} \end{array}} \right)\begin{array}{*{20}{c}} p\q \end{array}\]$ 对H_0的广义似然比检验是 $[\Lambda = \sum\limits_{j = p + 1}^k {{\lambda _j}/\sum\limits_{j = 1}^k {{d_j}} } \]$ $=lambda_1 \geq \lambda_2 \geq \cdots \geq \lambda_k$是$y_1^'y_1+y_2^'y_2$的全部特征根。 （二）一般情形V未知，此时 \theta,C的估计量同前，可求出 $[\hat V = \frac{1}{n}({y_2}^\prime {T_{22}}{T_{22}}^\prime {y_2} + {y_2}^\prime {y_2})\]$ H_0相应的Lawley不变检验是 $[\sum\limits_{j = p + 1}^k {{\beta _j}} \ge {\alpha _1}\]$ 其中 $\beta_1 \geq \beta_2 \geq \cdots \beta_k$是$y'_1y_1+y'_2y_2$的相应于$y'_sy_s$的全部特征根。 有关$\Lambda \$的以及$[\sum\limits_{j = p + 1}^k {{\beta _j}} \]$的极限分布将在另外的文章中讨论。     

精确分布推导的一个基本的方法

寻求统计量的精确分布,在数理统计的理论中是一个重要的问题。然而,在多元统计分析中,往往很不容易得到统计量的精确分布,有些统计量的分布,例如非中心的Wishanrt分布,持续了几十年,还没有获得完满的结果。我国的许宝騄先生早在1939年,就得到了正态总体样本协差阵的特征根的联合分布(参看[1])。据徐钟济先生的回忆,当时R.A.     

Syntheses and characterization of ferrocenylthiocarboxylate-containing coordination compounds for nonlinear optics

Four metal-organic coordination compounds containing ferrocenylthiocarboxylate components, [Cd₂(η²-SOCFc)₂(η¹-μ₂-SOCFc)₂(4,4′-bpy)]_n (1), [Cd(SOCFc)₂(tmp)]_n (tmp = 4,4′-trimethylene-dipyridine) (2) [Zn(SOCFc)₂(2,2′-bpy)] (3), and {[Hg(SOCFc)₂(phen)] · (0.5CH₃OH)} (4) (Fc = (η⁵-C₅H₅)Fe(η⁵-C₅H₄)), have been prepared in search of good nonlinear optical (NLO) materials. Investigation of the NLO properties shows that Hg-containing compound 4 exhibits very strong third-order NLO absorptive and refractive effects. The NLO absorptive coefficient α₂ value (2.11 × 10⁻¹⁰ m W⁻¹) is larger than those of all the reported ferrocenylcarboxylate-containing coordination compounds and comparable to the well-performing Hg-containing complexes. Additionally, we further analyzed their NLO behaviors through studying electrochemical properties of the four compounds.