| 由多项式构成的离散空间直交系 |
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| 引用本文： | 陈光福.由多项式构成的离散空间直交系[J].地球物理学报,1985,28(3):254-259. |
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| 作者姓名： | 陈光福 |
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| 作者单位： | 中国科学院空间物理研究所 |
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| 摘 要： | 本文由多项式构成了离散空间的三组直交系;证明了由多项式构成的离散空间直交系的每一直交多项式的诸系数比都是唯一确定的,在这种意义上讲,离散空间直交系是唯一的;从这一唯一性出发,本文导出了直交系各直交多项式的对称性,这种对称性给数据处理,特别是实时数据处理工作带来了方便。
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| 关 键 词： | 离散空间 直交多项式 排列多项式 对称性 气象火箭探测 唯一性 直交性 阶次 数据实时处理 奇数 |
| 收稿时间： | 1984-05-15 |
THE ORTHOGONAL SYSTEM CONSTRUCTED BY POLYNOMIALS IN THE DISCRETE SPACE |
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| CHEN GUANG-FU.THE ORTHOGONAL SYSTEM CONSTRUCTED BY POLYNOMIALS IN THE DISCRETE SPACE[J].Chinese Journal of Geophysics,1985,28(3):254-259. |
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| Authors: | CHEN GUANG-FU |
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| Institution: | Institute of Space Physios, Academia Sinica |
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| Abstract: | In this paper, three orthogonal systems in the discrete space are constructed by polynomials. It is proved that the ratio of coefficients in every orthogonal polynomial is determined uniquely for orthogonal systems in the discrete space. In this view the orthogonal system is unique. From the uniqueness, the symmetry of these orthogonal polynomials is obtained. They are applicable for data processing, in particular for realtime data processing. |
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