| 关于对称方程组非零解的判定与解法 |
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| 引用本文： | 堵秀凤,程旭,高慧敏,金丽. 关于对称方程组非零解的判定与解法[J]. 高师理科学刊, 1997, 0(3) |
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| 作者姓名： | 堵秀凤 程旭 高慧敏 金丽 |
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| 作者单位： | 齐齐哈尔师范学院数学系(堵秀凤，金丽)，上海第三女子中学(程旭)，齐市第十二中学(高慧敏) |
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| 摘 要： | 给出对称方程组{x_1+x_2+…+x_n=0,……,x_1~(i-1)+x_2~(i-1)+…+x_n~(i-1)=0,x_1~(i+1)+x_2~(i+1)+…+x_n~(i+1)=0,……,x_1~(n+1)+x_2~(n+1)+…x_n~(n+1)=0.(1)非零解的判别条件、求解方法以及严格的证明．
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| 关 键 词： | 对称方程组 方程组解 非零 |
Determination of Non--zero Solution and a Solving Method of the Symmetry Simultaneous Equation |
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| Du Xiufeng Cheng Xu. Determination of Non--zero Solution and a Solving Method of the Symmetry Simultaneous Equation[J]. Journal of Science of Teachers＇College and University, 1997, 0(3) |
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| Authors: | Du Xiufeng Cheng Xu |
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| Affiliation: | Du Xiufeng Cheng Xu (Department of Maths) (No. 3 Female Middle School of Shanghai) Gao Huimin Jin Li (No. 12 Middle School of Qiqihar) (Department of Maths) |
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| Abstract: | In this paper we discuss the following symmetry simultaneous equation:{x_1+x_2+…+x_n=0,……,x_1~(i-1)+x_2~(i-1)+…+x_n~(i-1)=0,x_1~(i+1)+x_2~(i+1)+…+x_n~(i+1)=0,……,x_1~(n+1)+x_2~(n+1)+…x_n~(n+1)=0.(1) and give a determination condition of nonzero solution and a solving method of the symmetry simultaneous equation and its proof. |
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| Keywords: | Symmetry simultaneous equation Solution of simultaneous equation Non -zero |
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