Introduction to Methods of Approximation in Physics and Astronomy by Maurice H. P. M. van Putten

Author:Maurice H. P. M. van Putten
Language: eng
Format: epub, pdf
Publisher: Springer Singapore, Singapore

(6.94)

The Pearson coefficient of fluctuations in and about their mean is defined by

(6.95)

where and . Correspondingly, we consider

(6.96)

On a finite domain [a, b], the mean of f(t) and g(t) need not be zero. In this event, we use

(6.97)

with F(s) and using , and , .

Due to the running normalizations, (6.97) is nonlinear and a direct evaluation can be computationally expensive. However, if f(t) and g(t) have relatively constant variance, the computational effort practically reduces to the linear problem (6.92) by (6.93).

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