Localization theorem
id:
localization-theorem-314-15669648
title:
Localization theorem
text:
In mathematics, particularly in integral calculus, the localization theorem allows, under certain conditions, to infer the nullity of a function given only information about its continuity and the value of its integral. Let F(x) be a real-valued function defined on some open interval Ω of the real line that is continuous in Ω. Let D be an arbitrary subinterval contained in Ω. The theorem states the following implication: A simple proof is as follows: if there were a point x0 within Ω for which F
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Localization_theorem
date created:
date modified:
2023-02-14T13:49:47Z
main entity:
{"identifier":"Q17103321","url":"https://www.wikidata.org/entity/Q17103321"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/51/Localization_Theorem.svg","width":200,"height":200}
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13
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14