概率论数字实验室

Digital Laboratory of Probability

构建了概率论和随机现象计算机模拟仿真演示系统。该系统包括六个子系统:人机界面、内核、集合论、概率分布、随机现象和帮助子系统。该系统可以完成的模拟演示包括:集合运算、教材中常见的概率密度函数和累积概率分布函数、概率游戏、概率论题解以及蒙特卡洛模拟等。学习者应用该系统可以对抽象的概率论理论、运算以及相关随机现象进行形象直观地观察和研究,该系统在概率论的教学中起到了类似实验室的作用,弥补了概率论常规教学中难以进行实验观察的不足。

A computer simulated demonstration system of probability and stochastic phenomena is established. The system consists of six subsystems, which are human computer interface, kernel, sets theory, probability distribution, stochastic phenomena and help subsystem. The simulations performed by the system include： sets operation, ordinary probability density function and cumulative distribution function in the teaching material, game of probability, solution of probability question and Monte Carlo simulation. By using the system, user can observe and research the abstract probability theory and stochastic phenomena with visualized image. The simulation system is similar to laboratory in the teaching and learning, and this overcomes the difficulty in observing the stochastic phenomena.