Calculations and experiments on an optimal adjustment of function generators

Summary

Formulae are derived for the approximation of a given arbitrary functionr(x) defined forx ₀≤x≤x _n by a broken line consisting ofn linear parts. Numerical data, obtained for any arbitrary value ofn, are important for analogue computer applications involving the use of function generators.

Experiments have shown that the determination of an optimal adjustment of a function generator forr(x) is simple and accurate if performed with the aid of an analogue computer.