| 数学技术与概率论的发展 |
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| 引用本文： | 杨静,徐传胜.数学技术与概率论的发展[J].太原理工大学学报(社会科学版),2008,26(1):49-54. |
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| 作者姓名： | 杨静 徐传胜 |
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| 作者单位： | 1. 北京联合大学,基础部,北京,100101
2. 临沂师范学院,数学系,山东,临沂,276005 |
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| 摘 要： | 概率论是研究随机现象规律的数学理论，现已有300余年的历史。从数学技术视角，把概率论的发展历史划分为三个阶段，并分析各个时期的特征，认为数学技术是概率论发展的保证，数学技术的发展是推动概率论理论发展的主要因素之一；探究数学技术和概率论间的辩证关系有助于理解和认识概率论的本质。
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| 关 键 词： | 数学技术 古典概率论 分析概率论 测度概率论 |
| 文章编号： | 1009-5837(2008)01-0049-06 |
| 修稿时间： | 2007年11月30 |
Mathematical Techniques and The Development of Probability Theory |
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| YANG Jing,XU Chuan-sheng.Mathematical Techniques and The Development of Probability Theory[J].Journal of Taiyuan University of Technology(Social Sciences Edition),2008,26(1):49-54. |
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| Authors: | YANG Jing XU Chuan-sheng |
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| Institution: | YANG Jing,XU Chuan-sheng (1. Department of Foundation Courses, Beijing Union University, Beijing 100101, China ; 2. Department of Mathematics ,Linyi Normal University ,Linyi Shandong 276005 ,China) |
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| Abstract: | The probability theory is a mathematical discipline studying the regularities of random or stochastic events,whose history is over three hundreds years. This paper divides the history of probability theory into three stages as viewed from mathematical tools, and try to analysis its characters in each stage. It points out that the development of mathematical techniques is one of main factors promoting the evolution of probability. The paper attempts to explore the dialectic relationship between probability and mathematical technique. |
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| Keywords: | mathematical techniques the classical probability the analytical probability the measurable probability |
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