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# Accession Number:

## ADA063970

# Title:

## A Note on the Approximation of Functions of Several Variables by Sums of Functions of One Variable.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

# Report Date:

## 1978-08-01

# Pagination or Media Count:

##
9.0

# Abstract:

## For a class of functions of several variables, which contains the continuous functions, we show that there exists a sum of functions of one variable that minimizes the distance from the given function to the space of such sums. For functions of two variables we show that such a minimizing sum may be constructed by an iterative scheme. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#