MANIP: A Computer System for Algebra and Analytic Differentiation A mathematical expression to be operated upon is written in FORTRAN-like notation and stored in the computer as a string of BCD characters with all blanks removed. It may be as complicated as desired (parentheses nested without restriction, etc.) so long as the entire expression (or any subsequent form) does not exceed 5000 characters. The problemm of performing algebraic operations and obtaining analytic derivatives was translated into that of identifying and manipulating character sequences. Programs which resulted were written in FORTRAN IV for a CDC 3600 and are discussed in detail. CACM August, 1966 Bender, B. CA660816 ES March 17, 1982 10:10 AM 1396 5 3202 3202 5 3202 3202 5 3202 3202 5 3202 964 6 3202 1028 6 3202 1029 6 3202 1083 6 3202 1132 6 3202 1214 6 3202 1278 6 3202 1334 6 3202 1365 6 3202 1386 6 3202 1387 6 3202 1388 6 3202 1392 6 3202 1393 6 3202 1394 6 3202 1395 6 3202 1396 6 3202 1397 6 3202 1496 6 3202 284 6 3202 407 6 3202 3199 6 3202 3200 6 3202 3201 6 3202 3202 6 3202 3203 6 3202 3204 6 3202 561 6 3202 730 6 3202