Differentiability Class
   HOME



picture info

Differentiability Class
In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives (''differentiability class)'' it has over its domain. A function of class C^k is a function of smoothness at least ; that is, a function of class C^k is a function that has a th derivative that is continuous in its domain. A function of class C^\infty or C^\infty-function (pronounced C-infinity function) is an infinitely differentiable function, that is, a function that has derivatives of all orders (this implies that all these derivatives are continuous). Generally, the term smooth function refers to a C^-function. However, it may also mean "sufficiently differentiable" for the problem under consideration. 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 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   [Amazon]




Bump2D Illustration
Bump or bumps may refer to: Arts and entertainment * Bump (dance), a dance from the 1970s disco era * BUMP (comics), ''BUMP'' (comics), 2007-08 limited edition comic book series Fictional characters * Bobby Bumps, titular character of a series of American silent animated short films produced (1915–1925) * Bump (Transformers), Bump (''Transformers''), a fictional character in the ''Transformers'' universe * Mr. Bump, a ''Mr. Men'' character Music * "The Bump", a funky song by the Commodores from ''Machine Gun (Commodores album), Machine Gun''(1974) * "The Bump", a 1974 hit single by the band Kenny (band), Kenny * Bump (album), ''Bump'' (album), a jazz album recorded by musician John Scofield in 2000 * "Bump", a song by Raven-Symoné from ''This Is My Time (Raven-Symoné album), This Is My Time'' * "Bump", a song by Fun Lovin' Criminals from ''Loco (Fun Lovin' Criminals album), Loco'' * "Bump", a song by Spank Rock from ''YoYoYoYoYo'' * "Bump", a song by Rehab from ''Graffiti the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   [Amazon]



MORE