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antiderivative of function

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  • Antiderivative — In calculus, an antiderivative, primitive or indefinite integral [Antiderivatives are also called general integrals, and sometimes integrals. The latter term is generic, and refers not only to indefinite integrals (antiderivatives), but also to… …   Wikipedia

  • Antiderivative (complex analysis) — In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex valued function g is a function whose complex derivative is g. More precisely, given an open set U in the complex plane and a function the antiderivative …   Wikipedia

  • antiderivative — | ̷ ̷(ˌ) ̷ ̷ ̷ ̷| ̷ ̷ ̷ ̷ ̷ ̷ noun Etymology: anti (I) + derivative : the inverse of a given mathematical function which can be obtained by differentiating the inverse F(x) is the antiderivative of f(x) …   Useful english dictionary

  • Lambert W function — The graph of W(x) for W > −4 and x < 6. The upper branch with W ≥ −1 is the function W0 (principal branch), the lower branch with W ≤ −1 is the function W−1. In mathematics, the Lambert W function, also called the Omega function or product… …   Wikipedia

  • Integrable function — In mathematics, an integrable function is a function whose integral exists. Unless specifically stated, the integral in question is usually the Lebesgue integral. Otherwise, one can say that the function is Riemann integrable (i.e., its Riemann… …   Wikipedia

  • Heaviside step function — The Heaviside step function, H , also called the unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument.It seldom matters what value is used for H (0), since H is mostly used as a… …   Wikipedia

  • Error function — Plot of the error function In mathematics, the error function (also called the Gauss error function) is a special function (non elementary) of sigmoid shape which occurs in probability, statistics and partial differential equations. It is defined …   Wikipedia

  • Meijer G-function — In mathematics, the G function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized… …   Wikipedia

  • Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …   Wikipedia

  • Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… …   Wikipedia

  • Integration of the normal density function — Main article: Normal distribution The probability density function for the normal distribution is given by:f(x;mu,sigma)=frac{1}{sigmasqrt{2pi , exp left( frac{(x mu)^2}{2sigma^2} ight),where mu is the mean and sigma the standard deviation.By the …   Wikipedia

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