An algebraic approach to a calculus of functional differences
Subtitle: fixed differences and integrals
By: [by] Bruce J. MacLennan
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1987
Place of publication: Monterey, California
Language: eng
Number of pages: 30
Subjects: Calculus; Mathematics; Algebraic functions
Description: This document introduces a notion of functional differences in which the difference of a function f with respect to a function h is that function g that describes how the value of f changes when its argument is altered by h: f(h(x) = g(f(x)). The author introduces the inverse operation of functional integration and derive useful properties of both operations. The result is a calculus that facilitates derivation and reasoning about recursive programs. This is illustrated in a number of simple examples. The present report uses algebraic methods to establish preliminary results pertaining to fixed differences, that is, functional differences that do not depend on the value of the argument x. Keywords: Theorems; Integrals.
Notes: Title from cover.

"Prepared for: Chief of Naval Research"--Cover.

"September 1987"--Cover.

"NPS-52-87-041"--Cover.

DTIC Identifiers: Functional differences, Fixed differences, PE61153N.

Includes bibliographical references (p. 27-28)

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1987.

aq/aq cc:91160 03/27/97.

kmc/kmc 11/4/09.