| 一次不定方程的通解公式 |
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| 引用本文： | 端木南珂.一次不定方程的通解公式[J].广州大学学报(自然科学版),2009,8(1). |
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| 作者姓名： | 端木南珂 |
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| 作者单位： | 泰州职业技术学院,江苏,泰州,225300 |
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| 摘 要： | 关于s元一次不定方程的通解公式问题,其整数解的存在性柯召、孙琦已解决,并揭示了一次不定方程中元的个数与通解中参数的个数之间的关系.s元一次不定方程的通解公式,当s=2时,华罗庚给出,当s=3时,柯召、孙琦已阐明,当s=4,s=5时,端木南珂已论述.文章利用数论的方法及数学归纳法给出s元一次不定方程的通解公式,推广了已知的结论.
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| 关 键 词： | s元一次不定方程 通解 全部解 特解 |
General solution formulas of indefinite equation |
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| DUANMU Nan-ke.General solution formulas of indefinite equation[J].Journal og Guangzhou University:Natural Science Edition,2009,8(1). |
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| Authors: | DUANMU Nan-ke |
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| Institution: | Taizhou Polytechnic College;Taizhou 225300;China |
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| Abstract: | Existence of integral solution about general solution formula of indefinite equation with the"s" Unknowns has been solved by KE Zhao and SUN Qi.The relationship between the number of the Unknowns in indefinite equation and the number of parameter in general solution has been also revealed in that works.HUA Luo-geng has given the general solution formula of indefinite equation with the"2" Unknowns.KE Zhao and SUN Qi had given the general solution formula of indefinite equation with the"3" Unknowns.DUANMU Nan... |
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| Keywords: | indefinite equation with the "s" Unknowns general solution total solution particular solution |
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