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| 古代筮法产生的随机数研究 | |
| Alternative Title | Study on the Random Numbers Generated by the Ancient Divination |
| 王玟; 黎琳; 董婵; 李有文; 范修斌 | |
| 2013 | |
| Source | 数学的实践与认识
 |
| ISSN | 1000-0984 |
| Volume | 43Issue:17Pages:205-218 |
| English 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. |
| Indexed Type | CSCD |
| Abstract | 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. |
| Keyword | 筮法 易经 随机数 熵 Divining Methods i Ching Random Numbers Entropy |
| Department | 新疆财经大学应用数学学院,新疆乌鲁木齐,830012 北京交通大学计算机与信息技术学院,北京,100044 中北大学理学院,山西太原,030051 中国科学院软件研究所,北京,100190 |
| Language | 中文 |
| CSCD ID | CSCD:4953079 |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/16830 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | 王玟,黎琳,董婵,等. 古代筮法产生的随机数研究[J]. 数学的实践与认识,2013,43(17):205-218. |
| APA | 王玟,黎琳,董婵,李有文,&范修斌.(2013).古代筮法产生的随机数研究.数学的实践与认识,43(17),205-218. |
| MLA | 王玟,et al."古代筮法产生的随机数研究".数学的实践与认识 43.17(2013):205-218. |
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