| 一类函数方程的解—一道国际奥林匹克数学竞赛试题的推广 |
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| 引用本文： | 王元明,黄迅成. 一类函数方程的解—一道国际奥林匹克数学竞赛试题的推广[J]. 扬州职业大学学报, 2004, 8(3): 37-39 |
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| 作者姓名： | 王元明 黄迅成 |
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| 作者单位： | 扬州职业大学,江苏,扬州,225009 |
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| 摘 要： | 对第40届国际奥林匹克数学竞赛的一道试题进行研究，将该试题的函数方程推广到一般的情况，证明得到这一类广义函数方程的解的唯一性定理。这种推广不仅在数学上是有趣的，而且对提高研究能力也是极有好处的。
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| 关 键 词： | 奥林匹克 函数方程 推广 |
| 文章编号： | 1008-3693(2004)03-0037-03 |
| 修稿时间： | 2004-06-06 |
Solutions to a Class of Functional Equations-- Popularization of a Test Question in Maths Olympics Contest |
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| WANG Yuan-ming,HUAN Xun-chen. Solutions to a Class of Functional Equations-- Popularization of a Test Question in Maths Olympics Contest[J]. Journal of Yangzhou Polytechnic College, 2004, 8(3): 37-39 |
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| Authors: | WANG Yuan-ming HUAN Xun-chen |
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| Abstract: | The solutions to a class of functional equations in the 40th Maths Olympics Contest are studied in this paper. This paper aims to popularizing its generalization. And it proves that this popularization of the solutions is not only interesting in mathematics but also help to improve the research abilitity on mathematics. |
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| Keywords: | Maths Olympics functional euqations popularization |
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