Smoothness (mathematics)
In mathematical analysis, the smoothness of a function is a property measured by the number of continuous 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 orders in its 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 differentiability class ''C^k'' if the derivatives f',f'',\dots,f^ exist and are continuous on U. If f is k-differ ...
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Bump2D Illustration
Bump or Bumps may refer to: * A collision or impact * A raised protrusion on the skin such as a pimple, goose bump, prayer bump, lie bumps, etc. Infrastructure and industry * Coal mine bump, a seismic jolt occurring within a mine * Bump (union), in a unionised work environment, a reassignment of jobs on the basis of seniority * Bumper music or bump, in radio broadcasting a short clip of music used for transitions between program elements * Bump, airline travel slang for the involuntary denial of boarding to passengers on an overbooked flight Arts and entertainment * Bump (dance), a dance from the 1970s disco era * ''BUMP'' (comics), 2007-8 limited edition comic book series Music * "The Bump", a funky song by the Commodores from ''Machine Gun''(1974) * "The Bump", a 1974 hit single by the band Kenny * ''Bump'' (album), a jazz album recorded by musician John Scofield in 2000 * "Bump", a song by Raven-Symoné from '' This Is My Time'' * "Bump", a song by Fun Lovin' Criminals ...
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