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twice differentiable function

См. также в других словарях:

  • 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

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

  • Concave function — In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap or upper convex. Contents 1 Definition 2 Properties 3 Examples …   Wikipedia

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • Subharmonic function — In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Intuitively, subharmonic functions are related to convex… …   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

  • 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

  • Chain rule — For other uses, see Chain rule (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation …   Wikipedia

  • Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… …   Wikipedia

  • Generalizations of the derivative — The derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Contents 1 Derivatives in analysis 1.1 Multivariable… …   Wikipedia

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