total variation
measure of the local oscillation behavior of a function
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total variation
Summary
total variation is a mathematical concept[1]. It draws 182 Wikipedia views per month (mathematical_concept category, ranking #121 of 1,007).[2]
Key Facts
- total variation's instance of is recorded as mathematical concept[3].
- total variation's subclass of is recorded as numerical quantity value[4].
- total variation's Freebase ID is recorded as /m/032prs[5].
- total variation's different from is recorded as Total variation distance of probability measures[6].
- total variation's defining formula is recorded as \mathcal{V}{a, b}(f) = \sup \sum^{n}{i = 1} |f(x_i) - f(x_{i - 1})|[7].
- total variation's defining formula is recorded as \mathcal{V}_{a, b}(f) = \int_a^b |f'(x)| \, \mathrm{d}x[8].
- total variation's MathWorld ID is recorded as TotalVariation[9].
- total variation's Great Russian Encyclopedia Online ID is recorded as 1900533[10].
- total variation's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- total variation's Microsoft Academic ID is recorded as 62100291[12].
- total variation's in defining formula is recorded as \mathcal{V}_{a, b}[13].
- total variation's in defining formula is recorded as f[14].
- total variation's in defining formula is recorded as \sup[15].
- total variation's in defining formula is recorded as \sum_{i = 1}^n[16].
- total variation's in defining formula is recorded as |x|[17].
- total variation's in defining formula is recorded as \int_a^b f(x) \, \mathrm{d}x[18].
- total variation's PlanetMath ID is recorded as TotalVariation[19].
- total variation's OpenAlex ID is recorded as C62100291[20].
- total variation's Digital Library of Mathematical Functions ID is recorded as 1.4.E33[21].
- total variation's Digital Library of Mathematical Functions ID is recorded as 1.4.E34[22].
Why It Matters
total variation draws 182 Wikipedia views per month (mathematical_concept category, ranking #121 of 1,007).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[23] It is known by 11 alternative names across languages and contexts.[24]