Manipulation of Algebraic Expressions

An algorithm for algebraically manipulating
expressions of the form SUM{CiPi, i=1,...,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.

CACM September, 1961

Rom, A. R. M.

CA610910 JB March 16, 1978  9:36 PM

964	5	284
1396	5	284
284	5	284
284	5	284
284	5	284
964	6	284
1028	6	284
1029	6	284
1083	6	284
1132	6	284
1214	6	284
1278	6	284
1334	6	284
1365	6	284
1386	6	284
1387	6	284
1388	6	284
1392	6	284
1393	6	284
1394	6	284
1395	6	284
1396	6	284
1397	6	284
1496	6	284
284	6	284
284	6	284
407	6	284
3199	6	284
3200	6	284
3201	6	284
3202	6	284
3203	6	284
3204	6	284
561	6	284
561	6	284
730	6	284
759	6	284