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continuously differentiable function

См. также в других словарях:

  • Differentiable function — A differentiable function The absolute value function is not …   Wikipedia

  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

  • continuously — adverb 1. at every point (Freq. 6) The function is continuously differentiable • Derived from adjective: ↑continuous 2. with unflagging resolve (Freq. 4) dance inspires him ceaselessly to strive higher and higher toward the shining pinnacle of… …   Useful english dictionary

  • Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… …   Wikipedia

  • Convex function — on an interval. A function (in black) is convex if and only i …   Wikipedia

  • Implicit function theorem — In the branch of mathematics called multivariable calculus, the implicit function theorem is a tool which allows relations to be converted to functions. It does this by representing the relation as the graph of a function. There may not be a… …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… …   Wikipedia

  • Positive-definite function — In mathematics, the term positive definite function may refer to a couple of different concepts. Contents 1 In dynamical systems 2 In analysis 2.1 Bochner s theorem 2.1.1 Applications …   Wikipedia

  • Pluriharmonic function — Let :f colon G subset {mathbb{C^n o {mathbb{C be a C^2 (twice continuously differentiable) function. f is called pluriharmonic if for every complex line :{ a + b z mid z in {mathbb{C } the function :z mapsto f(a + bz) is a harmonic function on… …   Wikipedia

  • Weakly harmonic function — In mathematics, a function f is weakly harmonic in a domain D if :int D f, Delta g = 0 for all g with compact support in D and continuous second derivatives, where Delta; is the Laplacian. This definition is weaker than the definition of harmonic …   Wikipedia

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