乒乓球赛制的概率分析

乒乓球比赛的每局原先是21分制现在是11分制,单打由5局3胜制改为7局4胜制。赛制的改变增加了比赛结果的偶然性。本文用概率方法对赛制的改变进行了定量分析,给出了新赛制和旧赛制下运动员取胜的概率。     

气态环己烷催化氧化制丁二酸酐的研究─纳米催化剂活性组分对目标反应的影响

本文以气态环己烷催化氧化制丁二酸酐为目标反应,对TiO2-A l2O3纳米复合载体上的添加组分进行了研究与探索.结果表明,实验条件下,活性最好的催化剂添加物组成为:V2O5负载量为载体质量的5.0%,P与V原子个数比为1.5,催化剂中Mo、Sb、K的质量百分含量分别为1.25%、0.6%、4.0%.     

A simple algorithm for expanding a power series as a continued fraction

I present and discuss an extremely simple algorithm for expanding a formal power series as a continued fraction. This algorithm, which goes back to Euler (1746) and Viscovatov (1805), deserves to be better known. I also discuss the connection of this algorithm with the work of Gauss (1812), Stieltjes (1889), Rogers (1907) and Ramanujan, and a combinatorial interpretation based on the work of Flajolet (1980).