The Transformer Analogue Polynomial Equation Solver (TAPES)†

Abstract

ABSTRACT A number of special-purpose computers have been built in the past for the solution of polynomial equations. Most of the computers are expensive and their design is based on the principle of harmonic synthesis. This paper describes the development, design, and construction of a transformer analogue polynomial equation solver (TAPES). The operation of this special-purpose analogue computer depends on the well-known techniques of harmonic synthesis. The basic principles of 'transformer analogue computation1 first suggested by Blackburn (1937), have been extended to yield a compact, accurate and inexpensive computer for the solution of algebraic equations. The computer uses only tapped transformers and ganged switches as its building elements. A unique feature of the computer is that coefficients greater than unity can be set very easily, thereby increasing the accuracy to which a root can be evaluated. As built, the computer can handle equations up to the sixth degree, but the method could be extended to build computers for solving equations of higher degree, without appreciable loss of accuracy in computation.