A computer system for algebra and analytic differentiation

摘要

A mathematical expression written in FORTRAN notation is stored in the computer as a string of BCD characters. The algebra program operates exhaustively on the expression according to standard laws of algebra which have been translated into a complicated set of logical decision rules for manipulating character sequences. Similarly, the differentiation program finds partial and mixed partial derivatives of any order. Most numeric and algebraic operations are performed automatically. A number of pseudo instructions is available and provides additional flexibility.