Nowhere continuous function
id:
nowhere-continuous-function-293-17507382
title:
Nowhere continuous function
text:
In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f is nowhere continuous if for each point x there is some ε > 0 such that for every δ > 0 , we can find a point y such that | x − y | < δ and | f − f | ≥ ε . Therefore, no matter how close it gets to any fixed point, there are even closer points at which the function takes not-n
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wiki
category slug:
encyclopedia
description:
Function which is not continuous at any point of its domain
original url:
https://en.wikipedia.org/wiki/Nowhere_continuous_function
date created:
date modified:
2024-03-21T05:46:59Z
main entity:
{"identifier":"Q93430594","url":"https://www.wikidata.org/entity/Q93430594"}
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fields total:
13
integrity:
14