Study on the Random Numbers Generated by the Ancient Divination

Abstract

随机数在现代科学中有着重要应用,随机数隶属可测函数范畴,因此随机数历.史是数学史的重要组成部分.追朔随机数的历史,可以在《易经》中的《系辞传》中发现筮法.筮法是古代中国产生随机数的方法.筮法过程可以看作为带外来输入的随机过程,也就是说筮法是数学史中的随机过程的古代中国实例.在严格的概率论模型的基础上,给出了筮法所产生的随机数概率,并给出了其信息熵.结果修改了向传三的结果.Random numbers in modern science have important applications. Random numbers belong to the measurable function field, so the random number history is an important part of the history of mathematics. In the "I Ching", the ancient divination was one kind of methods to generate random numbers. Divination process is a random process with external input. Based on the strict probability model of the divination, this paper gives the divination probability, and modification of results of Xiang Chuansan

    Similar works