Poincaré–Miranda theorem
id:
poincar-miranda-theorem-249-8466327
title:
Poincaré–Miranda theorem
text:
In mathematics, the Poincaré–Miranda theorem is a generalization of intermediate value theorem, from a single function in a single dimension, to n functions in n dimensions. It says as follows: The theorem is named after Henri Poincaré - who conjectured it in 1883 - and Carlo Miranda - who in 1940 showed that it is equivalent to the Brouwer fixed-point theorem. It is sometimes called the Miranda theorem or the Bolzano-Poincare-Miranda theorem.
brand slug:
wiki
category slug:
encyclopedia
description:
Generalisation of the intermediate value theorem
original url:
https://en.wikipedia.org/wiki/Poincar%C3%A9%E2%80%93Miranda_theorem
date created:
date modified:
2024-01-24T12:01:45Z
main entity:
{"identifier":"Q25098911","url":"https://www.wikidata.org/entity/Q25098911"}
image:
fields total:
13
integrity:
14