| 一次不定方程的简易解法 |
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| 引用本文： | 郝海生. 一次不定方程的简易解法[J]. 数学季刊, 2002, 17(3): 62-69 |
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| 作者姓名： | 郝海生 |
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| 作者单位： | 北京控制工程研究所教育处 北京100080 |
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| 摘 要： | 一次不定方程现在通常的解法是将其化为一次不定方程组来解，当未知数较多时，其解法极其繁复。本文利用矩阵和自由阿贝尔群的理论，对一次不定方程的解的结构进行了讨论，并利用其结论给出了一种简单解法。另外，该解法为利用计算机得到一次不定方程的通解提供方便。
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| 关 键 词： | 一次不定方程 自由阿贝尔群 解基 |
A Simple Method of Solving First-order Indefinite Equation |
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| HAO Hai sheng. A Simple Method of Solving First-order Indefinite Equation[J]. Chinese Quarterly Journal of Mathematics, 2002, 17(3): 62-69 |
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| Authors: | HAO Hai sheng |
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| Abstract: | The current method of solving first order indefinite equatio n is changing the equation to first order indefinite equation gr oup to solve. But according this method, if variables are very many, it will be difficult to solve the equation using the current method. In this paper, it prov ides a simple method by discussing the structure of solution based on the theory of free abelian group. In addition, this method makes it easy to get the genera lized solution of the equation using the computer. |
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| Keywords: | first order indefinite equation free abelian group solution basis |
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