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What (who) is measure variation - definition
MEASURE OF THE LOCAL OSCILLATION BEHAVIOR OF A FUNCTION
Measure variation; Total variation measure; Total variation of a function; Total variation norm; Total variation (measure theory)
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].
variation
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
¦ noun
1. a change or slight difference in condition, amount, or level.
(also magnetic variation) the angular difference between true north and magnetic north at a particular place.
2. a different or distinct form or version.
Music a new but still recognizable version of a theme.
Ballet a solo dance as part of a performance.
Derivatives
variational adjective
varied
WIKIMEDIA DISAMBIGUATION PAGE
Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)
¦ adjective incorporating a number of different types or elements; showing variation or variety.
Derivatives
variedly adverb
Wikipedia
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.
