Preliminary investigation of a calculus of functional differences
fixed differences
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Author
Contributions
- Naval Postgraduate School (U.S.) - Contributor
Publication
1986 - Naval Postgraduate School, Monterey, California, California
Language
English
Word Count
6,250 words, Guess
Page Count
25 pages
Identifiers
- Internet Archivepreliminaryinves00macl
- OCLC Control Number460973602
- Open LibraryOL25486417M
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). It also introduce 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 author presents preliminary results pertaining to fixed differences, that is, functional differences that do not depend on the value of the argument x.
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