Total variation
id:
total-variation-268-6401242
title:
Total variation
text:
In mathematics, the total variation identifies several slightly different concepts, related to the (local or global) structure of the codomain of a function or a measure. For a real-valued continuous function f, defined on an interval [a, b] ⊂ R, its total variation on the interval of definition is a measure of the one-dimensional arclength of the curve with parametric equation x ↦ f(x), for x ∈ [a, b]. Functions whose total variation is finite are called functions of bounded variation.
brand slug:
wiki
category slug:
encyclopedia
description:
Measure of local oscillation behavior
original url:
https://en.wikipedia.org/wiki/Total_variation
date created:
date modified:
2024-04-18T17:04:45Z
main entity:
{"identifier":"Q1936288","url":"https://www.wikidata.org/entity/Q1936288"}
image:
fields total:
13
integrity:
14