长方体区域上均匀分布随机点定理及其应用

Theorem on Generating Stochastic Points Uniformly Distributed on the Cuboid Region and Its Application

摘要: 建立并证明了长方体区域上均匀分布随机点生成的定理, 并以此为依据通过变换公式法提出了长方体区域上均匀分布随机点生成的新算法, 从而产生了三维区域上均匀分布随机点生成的新算法。此算法能产生更加逼近实际系统的仿真系统。

Abstract: The related theorem on the generation of stochastic points uniformly distributed on the cuboid region is presented and proved, and its algorithm is obtained by using the method of transform formula. The algorithm of generating stochastic points uniformly distributed on three-dimensional regions is given. The simulation system is generated by the algorithms offered in this paper, which is close to actual one.