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total variation - translation to russian
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
математика
полная вариация
total variation norm
норма, определяемая полной вариацией
measure variation
математика
вариация меры
Definition
variation
¦ 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
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.
Examples of use of total variation
1. Only about 5 per cent of total variation distinguishes the major races.
