管兆勇,黄士松. 1993. 相关系数的变化形式和相关场揭示的大气波动及其物理本质[J]. 气象学报, 51(3):274-282, doi:10.11676/qxxb1993.037
相关系数的变化形式和相关场揭示的大气波动及其物理本质
SOME NEW FORMS OF THE CORRELATION COEFFICIENT FORMULA AND THE ATMOSPHERIC WAVES REVEALLED BY CORRELATION FIELDS
投稿时间:1991-04-17  修订日期:1992-03-21
DOI:10.11676/qxxb1993.037
中文关键词:  相关系数  相关场  大气波动
英文关键词:Correlation coefficient  Correlation fields  Atmospheric wave
基金项目:国家自然科学基金
作者单位
管兆勇 南京气象学院 210044 
黄士松 南京大学大气科学系 210008 
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中文摘要:
      文中对相关系数公式的形式进行了变化,得到了以傅里叶谱系数表示的相关系数公式,完成了新形式的相关系数公式与大气动力学方程的直接连接,由此产生了由相关系数表示的动力学方程,从而指出用相关场研究大尺度动力过程是有意义的,相关场揭示的联系可通过相关系数表示的方程而得到动力学解释。
英文摘要:
      In this paper, the classical correlation coefficient formula is changed into some new forms which are denoted by some Fourier spectra coefficients. And the advantages of the formulas are discussed. The new formulas can be directly connected with the dynamical equations of atmosphere. Thus, the equations can be denoted by correlation coefficients. It is pointed out that it is of significance to use correlation fields to reveal the large scale dynamical processes in the atmosphere. And the relationships revealled by correlation fields can be physically interpretated by the dynamical equations denoted by correlation coefficients directly.
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