| 十进制展示的误差和函数 |
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| 引用本文： | 童欣. 十进制展示的误差和函数[J]. 数学杂志, 2007, 27(6): 637-640 |
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| 作者姓名： | 童欣 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072;华中科技大学数学系,湖北,武汉,430074 |
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| 摘 要： | 研究了十进制误差和函数,利用分形几何的方法,得到了误差和函数的积分值,介值定理以及其图的Hausdorff维数.
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| 关 键 词： | 十进制 误差和函数 积分 Hausdorff维数 介值定理 |
| 文章编号： | 0255-7797（2007）06-0637-04 |
| 修稿时间： | 2005-11-09 |
ON THE ERROR-SUM FUNCTION OF DECIMAL EXPANSION |
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| TONG Xin. ON THE ERROR-SUM FUNCTION OF DECIMAL EXPANSION[J]. Journal of Mathematics, 2007, 27(6): 637-640 |
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| Authors: | TONG Xin |
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| Affiliation: | 1.School of Math. and Statistics , Wuhan University , Wuhan 430072,China;2.Dept. of Math. , Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | In this paper, we introduce the error-sum function of decimal expansion. Some elementary properties of this function are studied. We get the integration and intermediate value property of the error-sum function.The Hausdorff dimension of graph of such function is also determined by the technique of fractal geometry. |
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| Keywords: | decimal expansion error-sum function Hausdorff dimension integration intermediate value |
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