Semi-continuity
id:
semi-continuity-177-1007634
title:
Semi-continuity
text:
In mathematical analysis, semicontinuity is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function f is upper semicontinuous at a point x 0 if, roughly speaking, the function values for arguments near x 0 are not much higher than f. A function is continuous if and only if it is both upper and lower semicontinuous. If we take a continuous function and increase its value at a certain point x 0 to f + c for some c > 0, then the result is upper
brand slug:
wiki
category slug:
encyclopedia
description:
Property of functions which is weaker than continuity
original url:
https://en.wikipedia.org/wiki/Semi-continuity
date created:
2002-06-17T17:15:09Z
date modified:
2024-09-04T09:19:13Z
main entity:
{"identifier":"Q955072","url":"https://www.wikidata.org/entity/Q955072"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/c0/Upper_semi.svg","width":214,"height":153}
fields total:
13
integrity:
16