AN EXPERIMENT ON THE QUANTITATIVE DESCRIPTION OF FIELDS OF CLIMATOLOGICAL ELEMENTS BY MEANS OF ORTHOGONAL FUNCTIONS.
EMMANUEL COLL BOSTON MASS ORIENTAL SCIENCE LIBRARY
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The paper deals with the generalized problem of the quantitative description of fields of climatological elements by means of approximate analytical expressions. The present author is of the opinion that it is advantageous to use a linear combination of orthogonal functions as an approximate expression for the quantitative description of fields of climatological elements. A formula for the assessment of the accuracy of the computed results is also presented. Two numerical examples are given in which the descriptive equations are represented by a linear expression. The coefficients of the linear expression are determined. The initial input data are correlated with the coefficients of the descriptive equations. The standard error of estimate and the variance ratio are computed. The importance of each linear coefficient is assessed by a comparison of the individual contribution to the multiple correlation coefficient.