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 ⊂ 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 ∈ .
Read more about Total Variation: Historical Note, Applications
Famous quotes containing the word total:
“only total expression
expresses hiding: I’ll have to say everything
to take on the roundness and withdrawal of the deep dark:
less than total is a bucketful of radiant toys.”
—Archie Randolph Ammons (b. 1926)
Related Phrases
Related Words