Dispersion Mapping Theorems.

Abstract

A function of three variables is often regarded as inherently simpler than a function of five variables, and there has been much attention given to the nature of complicated functions that can be expressed exactly in various ways in terms of simpler functions. From the viewpoint of computation, however, it is sufficient if a function F can be approximated arbitrarily well by combinations of simple functions. This paper deals with the general structure of this process, and obtains specific theorems that help to describe its limitations, and necessary conditions on the functions F for which this is possible. More detailed applications will be made in the future.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA079704

Entities

People

  • R. Creighton Buck

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Computations
  • Contracts
  • Dispersions
  • Graph Theory
  • Mathematical Analysis
  • Mathematical Logic
  • Mathematics
  • Military Research
  • Numbers
  • Real Numbers
  • Real Variables
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.