| 正态分布两发现过程的数学文化比较 |
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| 引用本文： | 徐传胜,张梅东.正态分布两发现过程的数学文化比较[J].纯粹数学与应用数学,2007,23(1):137-144. |
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| 作者姓名： | 徐传胜 张梅东 |
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| 作者单位： | 临沂师范学院数学系,山东,临沂,276001;西北大学数学系,陕西,西安,710069;西北大学数学系,陕西,西安,710069 |
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| 基金项目： | 国家自然科学基金，吴文俊丝绸之路天元基金 |
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| 摘 要： | 正态分布是概率论中最重要的分布,它分别由棣莫弗和高斯各自独立导出,其发现极大的促进了概率论和数理统计的发展.对正态分布两推导过程所蕴舍的概率思想及创新点进行了详细分析.另外,还比较了其不同的数学文化背景.
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| 关 键 词： | 正态分布 概率论 无穷级数 二项分布 误差函数 |
| 文章编号： | 1008-5513（2007）01-0137-08 |
| 收稿时间： | 2005-09-15 |
| 修稿时间： | 2005-09-15 |
Comparision of mathematical culture in processes about the discovery of normal distribution |
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| XU Chuansheng,ZHANG meidong.Comparision of mathematical culture in processes about the discovery of normal distribution[J].Pure and Applied Mathematics,2007,23(1):137-144. |
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| Authors: | XU Chuansheng ZHANG meidong |
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| Abstract: | Normal distribution is one of the most important distributions in probability theory.It was discovered by De Moivre and Gauss respectively.It has propelled probability theory and mathematical statistics greatly.The new thought about probability and inovation in the processes were analysed detailed.Besides,the differences mathematical culture between them are contrasted with also. |
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| Keywords: | normal distribution probability theory infinite series binomial distribution error function |
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