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D–6 More about Integration
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
fluctuations can be better characterized by its samples when these variations
are spread out over most of the interval of integration than if they are
confined to only a small fraction of the interval. (These two situations are
shown in the following two illustrations.) Considering the variations or
fluctuation as a type of oscillation in the function, the criterion of interest is the
ratio of the period of the oscillations to the width of the interval of integration:
the larger this ratio, the more quickly the calculation will finish, and the more
reliable will be, the resulting approximation.