《易经》六十四卦的蒙特卡洛模拟

发布时间：2018-02-21 07:54

  本文关键词： 《易经》 R语言 卦序 变爻　出处：《北方论丛》2017年05期 　论文类型：期刊论文

【摘要】：本文采用蒙特卡洛方法模拟蓍草起卦过程,计算《易经》六十四卦中各爻出现概率、变爻出现概率、卦间转化概率。研究结果表明老阳、老阴、少阳、少阴出现概率分别为18.76%、6.25%、31.24%、43.75%。阴爻和阳爻出现概率相等,各为50%;老阳出现概率是老阴出现概率的3倍。卦中无变爻概率为17.80%,从一个变爻到六个变爻概率分别为35.6%、29.66%、13.18%、3.30%、0.44%、0.02%。各卦向其他卦转化的概率存在最大值和最小值。最小转化概率对应一个卦,这个卦恰好是本卦的变卦。最大转化概率对应一个到六个卦。利用蒙特卡洛方法研究易经六十四卦,可从数理角度加深对易经的理解,是易经象数派的继承与发展,亦是现代科学与中国传统文化如何结合的探索。
[Abstract]:In this paper, Monte Carlo method is used to simulate the process of Yarrow hexagram, and the probability of the occurrence of each line, the probability of changing the line and the probability of transformation between the hexagrams in the 64 hexagram are calculated. The results show that the old yang, the old yin, the little yang, The probability of the occurrence of less yin is 18.76 and 6.25 respectively, and the probability of appearing is 43.75. The probability of occurrence of Yin and Yang lines is equal. The probability of Laoyang appearing is 3 times that of the old yin. The probability of no change in the hexagram is 17.80, and the probability of changing from one line to six is 35.6and 29.66, respectively. The probability of transformation to other hexagrams exists in maximum and minimum values, and the minimum value is the minimum value in the probability of transformation from each hexagram to the other hexagram. Probability corresponds to a hexagram, The maximum transformation probability corresponds to one to six hexagrams. The use of Monte Carlo method to study the 64 hexagram of the Yi Jing can deepen the understanding of the Book of changes from a mathematical point of view and is the inheritance and development of the Xiang number School in the Book of changes. It is also the exploration of how to combine modern science and Chinese traditional culture.
【作者单位】： 辽宁大学生命科学院;
【分类号】：B221
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本文编号：1521423