| 布朗直角三角及其几何特征 |
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| 引用本文： | 梁明杰,杨妙洪.布朗直角三角及其几何特征[J].甘肃联合大学学报(自然科学版),2014(4):15-19. |
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| 作者姓名： | 梁明杰 杨妙洪 |
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| 作者单位： | 三明学院信息工程学院; |
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| 基金项目： | 福建省教育厅科技研究项目(JB12228);三明学院自然科学基金项目(B201108/Q) |
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| 摘 要： | 通过构造一类称之为布朗直角三角的随机三角模型,利用布朗运动的相关特性,讨论了布朗直角三角的几何特征,得到了布朗直角三角关于面积与周长的受限概率估计,并给出了其关于最大面积和最大周长的小偏差下界。
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| 关 键 词： | 布朗直角三角 几何特征 受限概率 小偏差 |
Brownian Right Triangle and Its Geometrical Characteristics |
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| LIANG Ming-jie,YANG Miao-hong.Brownian Right Triangle and Its Geometrical Characteristics[J].Journal of Gansu Lianhe University :Natural Sciences,2014(4):15-19. |
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| Authors: | LIANG Ming-jie YANG Miao-hong |
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| Institution: | (School of Information Engineering, Sanming University, Sanming 365004, China) |
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| Abstract: | A class of the right triangle model which is defined Brownian right triangle is constructed in this paper.Based on the properties of Brownian motion,the geometrical characteristics of Brownian right triangle were discussed,the estimations of constrained probabilities for area and perimeter were obtained,and the lower bounds of small deviations for the maximum area and perimeter were given. |
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| Keywords: | Brownian right triangle geometrical characteristics constrained probability small deviation |
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