By Samuli Siltanen June 01, 2012 [Samuli Siltanen is a professor at the University of Helsinki and the SIAM News liaison for the SIAM Activity Group on Imaging Science.] As the SIAM News liaison for the SIAM Activity Group on Imaging Science, Samuli Siltanen suggested that readers might be interested in the work of the most recent recipient o... Read more 01 Aug 2014 - 26 minute read
By Dana Mackenzie November 01, 2013 [Freelance writer Dana Mackenzie writes from Santa Cruz, California. He is the author of the 2012 book The Universe in Zero Words: The Story of Mathematics as Told Through Equations.] Next time you’re at a picnic and you discover a procession of ants marching over your meal, wait just a second before you th... Read more 02 Mar 2014 - 50 minute read
交通流 概述 理论 三相交通理论 相变现象 几类规则 rule0-rule255 模型仿真 Monte-Carlo方法不仅可以用于计算,还可以用于模拟系统内部的随机运动。下面的示例根据Nagel-Schreckenberg(NS)模型来模拟单车道的交通拥堵,NS模型中的车辆运动满足如下规则: + 当前速度为v + 如果前面没车,它在下一秒的速度会提高到v+1,直到达到规定的最高限速 + 如果前面有车,距离为d,且d<v,那么它在下一秒的速度会降低到d-1 + 此外,司机还会以概率p随机减速,将下一秒的速度降低到v-1 下面,在一条直线上,随机产生100个点,代表道路上的100辆车,另取概率p为0.3。通过模拟形成时空图,横轴表示空间距离(从左往右),纵轴表示... Read more 01 Mar 2014 - less than 1 minute read