284	 Manipulation of Algebraic Expressions	 An algorithm for algebraically manipulating expressions of the form SUM CiPi i ... n has been developed in conjunction with the development of programs for systems analysis problems. This algorithm enablesus to derive over-all system transfer functions from algebraically described block diagrams of any linear continuous multi-loop feedback system. The machine representation of the derived expression is by virtue of the algorithm in a form which simplifies the task of compiling. The algorithm was developed for a particular purpose in connection with system analysis studies. However its application as a mathematical device extends far beyond the confines of the original problem.
