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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (1): 109-120 .doi: https://doi.org/10.1007/s10483-009-0112-2

• Articles • 上一篇    下一篇

R_滤子的谱及几何性质

冷拓   

  1. 中国科学院成都计算所 自动推理实验室,成都 610041
  • 收稿日期:2008-05-03 修回日期:2008-12-02 出版日期:2009-01-01 发布日期:2009-01-01
  • 通讯作者: 冷拓

Spectral properties and geometric interpretation of R-filters

Tuo LENG   

  1. Laboratory for Automated Reasoning and Programming,Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, P. R. China
  • Received:2008-05-03 Revised:2008-12-02 Online:2009-01-01 Published:2009-01-01
  • Contact: Tuo LENG

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摘要： 应用Fourier分析,研究了R_滤子的谱性质,并且证明了R_滤子是最小二乘方多项式法则的推广,在此基础上给出了R_滤子的几何解释.

Abstract: By applying the Fourier analysis, we study the spectral properties of R-filters. Further, we prove that R-filters are a generalization of least squares polynomial adjustment, and we give the geometric interpretation of R-filters.

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