A High Speed Product Integrator

Abstract

A method of employing the components of a high speed analog computer to evaluate product integrals is presented. Kernel functions of two variables are obtained with time as the variable of integration and the position of ganged potentiometers as the parametric variable. High speed multipliers, function generators, adders, and integrators permit the evaluation of a one‐hundred point product integral curve every 1.67 seconds. This curve is displayed on a cathode‐ray tube screen having a long persistence P‐7 phosphor. Examples of sine and cosine transforms evaluated with the product integrator are given. The observed errors range from 1 to 10 percent, depending upon the problem.