| 关于对称多项式的构造及其应用 |
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| 引用本文： | 何灯. 关于对称多项式的构造及其应用[J]. 汕头大学学报(自然科学版), 2010, 25(4): 1-7,25 |
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| 作者姓名： | 何灯 |
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| 作者单位： | 福建省福清港头中学; |
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| 摘 要： | 通过构造对称式和轮换对称式的一般表示式,借助于Maple应用程序,研究了3元到15元的对称多项式的缺项多项式、轮换对称代换缺项多项式、Si类对称多项式及Si类差分代换缺项多项式的通式构造,并对多元多项式的平方分拆进行了探讨.
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| 关 键 词： | 对称多项式 缺项多项式 Si类多项式 平方分拆 机器证明 |
On Constructions and Applications of Symmetric Polynomials |
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| HE Deng. On Constructions and Applications of Symmetric Polynomials[J]. Journal of Shantou University(Natural Science Edition), 2010, 25(4): 1-7,25 |
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| Authors: | HE Deng |
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| Affiliation: | HE Deng(Gangtou Middle School,Fuqing 350317,Fujian,China) |
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| Abstract: | General expressions for constructing symmetric polynomials are proposed.In Maple,3 to 15-term symmetric polynomials,permute symmetric polynomials,Si symmetric polynomials and Si differential substitution polynomials with sparse terms have been constructed.Multiple-term polynomials have been studied in square decomposition. |
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| Keywords: | symmetric polynomial polynomial with sparse terms Si polynomial square decomposition machine proof |
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