| 概率思想在数学证明和计算中的应用 |
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| 引用本文： | 卓泽强. 概率思想在数学证明和计算中的应用[J]. 数学的实践与认识, 2007, 37(13): 189-192 |
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| 作者姓名： | 卓泽强 |
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| 作者单位： | 北京石油化工学院数理系,北京,102617 |
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| 摘 要： | 通过多个典型实例说明了古典概型、概率密度函数、分布函数、Cauchy—Schwarz不等式、Chebeshev不等式、数字特征等在数学证明和计算中的应用,提出了在概率论教学中对概率思想在数学证明和计算中的应用应加以介绍.
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| 关 键 词： | 概率思想 随机变量 概率密度函数 |
| 修稿时间： | 2005-12-29 |
The Application of Probability Idea to Mathematical Proof and Computation |
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| ZHUO Ze-qiang. The Application of Probability Idea to Mathematical Proof and Computation[J]. Mathematics in Practice and Theory, 2007, 37(13): 189-192 |
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| Authors: | ZHUO Ze-qiang |
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| Abstract: | By means of several representative and illustrate examples,we demonstrate that there is widely application of probability idea to mathematical proof and computation about classic probability model,probability density function,distribution function,Cauchy-Schwarz inequlity,Chebeshev inequality,numerical characteristic,etc.We also put forward a suggestion that the teacher should play attention to probability idea to mathematical proof and computation to be applied and introduced in teaching. |
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| Keywords: | probability idea random variable probability density function |
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