Open set condition
id:
open-set-condition-290-6762533
title:
Open set condition
text:
In fractal geometry, the open set condition (OSC) is a commonly imposed condition on self-similar fractals. In some sense, the condition imposes restrictions on the overlap in a fractal construction. Specifically, given an iterated function system of contractive mappings ψ 1 , … , ψ m , the open set condition requires that there exists a nonempty, open set V satisfying two conditions: ⋃ i = 1 m ψ i ⊆ V , The sets ψ 1 , … , ψ m are pairwise disjoint. Introduced in 1946 by P.A.P Moran, the open se
brand slug:
wiki
category slug:
encyclopedia
description:
Condition for fractals in math
original url:
https://en.wikipedia.org/wiki/Open_set_condition
date created:
date modified:
2023-02-27T13:55:01Z
main entity:
{"identifier":"Q110933486","url":"https://www.wikidata.org/entity/Q110933486"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/9f/Open_set_condition.png","width":650,"height":628}
fields total:
13
integrity:
15