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有界闭区域中的随机取点方法及Mathematica软件实现
引用本文:王晓刚,李德才.有界闭区域中的随机取点方法及Mathematica软件实现[J].扬州职业大学学报,2014(2):48-50.
作者姓名:王晓刚  李德才
作者单位:扬州职业大学,江苏扬州225009
摘    要:在有界闭区域中按随机抽样原则取点,是地质勘探、环境监测等工程应用领域中的常见问题,所取点应服从在该区域上的均匀分布。本文通过边际分布理论,探讨了在有界闭区域中按照简单随机抽样原则随机取点的一般方法,并通过二维平面上的圆内区域与三维空间中的球内区域,演示了在符号处理软件Mathematica环境下的具体操作。

关 键 词:随机取点  Mathematica软件

A Method of Accessing Point Randomly in a Bounded Closed Region and Its Realization with Mathematica Software
WANG Xiao-gang,LI De-cai.A Method of Accessing Point Randomly in a Bounded Closed Region and Its Realization with Mathematica Software[J].Journal of Yangzhou Polytechnic College,2014(2):48-50.
Authors:WANG Xiao-gang  LI De-cai
Institution:(Yangzhou Polytechnic College, Yangzhou 225009, China)
Abstract:It is common to access point randomly in a bounded closed region in engineering applications such as geological exploration and environmental monitoring. The point accessed should be uniformly distributed in the region. By applying the marginal distribution theory,this paper explores the general approach to accessing point randomly in a bounded closed regio. Meanwhile,it demonstrates the specific operation by using the Mathematica software within a two-dimensional circle region and a three-dimensional ball region.
Keywords:accessing point randomly  Mathematica software
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