Kolmogorov–Arnold representation theorem
id:
kolmogorov-arnold-representation-theorem-167-16636331
title:
Kolmogorov–Arnold representation theorem
text:
In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem states that every multivariate continuous function f : [ 0, 1 ] n → R can be represented as a superposition of continuous single-variable functions. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous function, then f can be written as a finite composition of continuous functions of a single variable and the binary operation of addition. More specifically,
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brand slug:
wiki
category slug:
encyclopedia
description:
Multivariate functions can be written using univariate functions and summing
original url:
https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Arnold_representation_theorem
date created:
2015-07-23T23:39:10Z
date modified:
2024-08-31T03:17:50Z
main entity:
{"identifier":"Q25099402","url":"https://www.wikidata.org/entity/Q25099402"}
image:
fields total:
13
integrity:
15