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Smooth may refer to: Mathematics * Smooth function, a function that is infinitely differentiable; used in calculus and topology * Smooth manifold, a differentiable manifold for which all the transition maps are smooth functions * Smooth algebraic variety, an algebraic variety with no singular points * Smooth number, a number whose prime factors are all less than a certain value; used in applications of number theory * Smoothsort, a sorting algorithm Arts and entertainment Music * Smooth (singer), Juanita Stokes, American singer, rapper and actress * ''Smooth'' (album), by Smooth, 1995 * ''Smooth'', an album by Gerald Albright, 1994 * "Smooth" (Florida Georgia Line song), 2017 * "Smooth" (iiO song), 2004 * "Smooth" (Santana song), featuring Rob Thomas, 1999 * "Smooth", a mashup by Neil Cicierega from '' Mouth Moods'', 2017 Other media * ''Smooth'' (magazine), an American publication for young black men * Smooth Radio (other), UK radio station networks * smoothfm, ...
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Smooth Function
In mathematical analysis, the smoothness of a function (mathematics), function is a property measured by the number of Continuous function, continuous Derivative (mathematics), derivatives it has over some domain, called ''differentiability class''. At the very minimum, a function could be considered smooth if it is differentiable everywhere (hence continuous). At the other end, it might also possess derivatives of all Order of derivation, orders in its Domain of a function, domain, in which case it is said to be infinitely differentiable and referred to as a C-infinity function (or C^ function). Differentiability classes Differentiability class is a classification of functions according to the properties of their derivatives. It is a measure of the highest order of derivative that exists and is continuous for a function. Consider an open set U on the real line and a function f defined on U with real values. Let ''k'' be a non-negative integer. The function f is said to be of ...
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