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:
“The total collapse of the public opinion polls shows that this country is in good health. A country that developed an airtight system of finding out in advance what was in people’s minds would be uninhabitable.”
—E.B. (Elwyn Brooks)
Related Phrases
Related Words