| 局部对称多项式线性空间初探 |
| |
| 引用本文： | 刘保乾.局部对称多项式线性空间初探[J].广东教育学院学报,2008,28(5):10-16. |
| |
| 作者姓名： | 刘保乾 |
| |
| 作者单位： | 西藏自治区人事厅信息中心,西藏拉萨850000 |
| |
| 摘 要： | 对4元-2元对称多项式和4元-3元对称多项式线性空间进行了初步探讨；给出了3元和4元轮换对称多项式线性空间维数的计算公式；讨论了实数范围内多项式半正定分拆证明问题；提出了两个待解决的问题．
|
| 关 键 词： | n元-t元 对称多项式 多项式分拆 多项式线性空间 维数 |
The Primary Exploration into the Linear Space of the Local Symmetric Polynomial |
| |
| LIU Bao-qian.The Primary Exploration into the Linear Space of the Local Symmetric Polynomial[J].Journal of Guangdong Education Institute,2008,28(5):10-16. |
| |
| Authors: | LIU Bao-qian |
| |
| Institution: | LIU Bao-qian (Information Center,Tibet Personnel Bureau, Lhasa,Tibet, 850000, P. R. China) |
| |
| Abstract: | In this paper,we make a primary exploration into symmetrical polynomial in quaternary-binary form as well as linear space of symmetrical polynomial in quaternary-ternary form,and give a count formation about the dimensions of linear space of cycle symmetrical polynomial in ternary-quaternary form.Besides,we also discuss the proof about the semi-definite partition of a polynomial in real space and pose two open problems. |
| |
| Keywords: | symmetrical polynomial in n-ary to t-ary partition of a polynomial linear space of polynomial dimension |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
