基于数学建模和随机试验的确定性和随机现象研究

Investigation of Certain and Random Phenomena Based on Mathematical Modeling and Random Experiment

该文针对抛掷硬币试验,分别从经典力学角度来建立模型和从概率角度做随机试验解释确定性现象和随机现象的差异。重点阐述了随机试验结果的不可预言性,从而解释了随机现象的非确定性。进一步,分析了经大量重复的随机试验,发现其结果会呈现一定的规律,从而解释了随机现象的统计规律性。

In this paper, the difference between certain phenomena and random ones has been investigated from the perspective of classical mechanics by modeling, and of probability by conducting random experiment through the research of cointossing experi- ment. The focus is discussing the unpredictability property of the outcomes of random experiment, and thus explaining the non - deter- ministic property of random phenomenon. Furthermore, by analyzing the results of mass repeated random experiments, this paper finds that the results will show a certain law, which thus explains the statistical regularity rule of random phenomenon.