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:
“Fear is cruel and mean. The political reigns of terror have been reigns of madness and malignity,—a total perversion of opinion; society is upside down, and its best men are thought too bad to live.”
—Ralph Waldo Emerson (1803–1882)
Related Phrases
Related Words