Cantor function
id:
cantor-function-287-6355884
title:
Cantor function
text:
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure. Though it is continuous everywhere and has zero derivative almost everywhere, its value still goes from 0 to 1 as its argument reaches from 0 to 1. Thus, in one sense the function seems very much like a constant one which cannot grow, and in another, it doe
brand slug:
wiki
category slug:
encyclopedia
description:
Continuous function that is not absolutely continuous
original url:
https://en.wikipedia.org/wiki/Cantor_function
date created:
date modified:
2024-03-30T20:14:44Z
main entity:
{"identifier":"Q938883","url":"https://www.wikidata.org/entity/Q938883"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f8/CantorEscalier-2.svg","width":870,"height":850}
fields total:
13
integrity:
15