Total variation
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.
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Total variation
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.
has abstract
Em análise matemática, define- ...... significa para todo tal que .
@pt
En mathématiques, la variation ...... ion x ↦ f(x), pour x ∈ [a, b].
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In de wiskunde is totale varia ...... dt dit begrip gegeneraliseerd.
@nl
In der Mathematik, vor allem d ...... che mit unendlicher Variation.
@de
In mathematics, the total vari ...... unctions of bounded variation.
@en
Wahaniem funkcji na przedziale ...... óżniczkowalne prawie wszędzie.
@pl
В математическом анализе вариа ...... й, задаваемой в этой функцией.
@ru
Варіацією функції називається ...... ненням поняття довжини кривої.
@uk
在数学领域总变差就是一函数其数值变化的差的总和。
@zh
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author
Rowland, Todd
@en
author2-link
Anatoli Georgievich Vitushkin
@en
first
Anatoli G.
@en
Boris I.
@en
id
V/v096110
@en
a/a013470
@en
f/f041400
@en
h/h046400
@en
p/p072720
@en
t/t092990
@en
last
Golubov
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Vitushkin
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title
Arzelà variation
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Fréchet variation
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Hardy variation
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Jordan decomposition
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Pierpont variation
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Tonelli plane variation
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Total Variation
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Variation of a function
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Vitali variation
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urlname
JordanDecomposition
@en
TotalVariation
@en
wikiPageUsesTemplate
subject
type
comment
Em análise matemática, define- ...... significa para todo tal que .
@pt
En mathématiques, la variation ...... ion x ↦ f(x), pour x ∈ [a, b].
@fr
In de wiskunde is totale varia ...... dt dit begrip gegeneraliseerd.
@nl
In der Mathematik, vor allem d ...... che mit unendlicher Variation.
@de
In mathematics, the total vari ...... unctions of bounded variation.
@en
Wahaniem funkcji na przedziale ...... óżniczkowalne prawie wszędzie.
@pl
В математическом анализе вариа ...... й, задаваемой в этой функцией.
@ru
Варіацією функції називається ...... ненням поняття довжини кривої.
@uk
在数学领域总变差就是一函数其数值变化的差的总和。
@zh
label
Total variation
@en
Totale variatie
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Variation (Mathematik)
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Variation totale (mathématiques)
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Variação total
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Wahanie funkcji
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Вариация функции
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Варіація функції
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总变差
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