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almost everywhere differentiable

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  • Almost everywhere — In measure theory (a branch of mathematical analysis), one says that a property holds almost everywhere if the set of elements for which the property does not hold is a null set, i.e. is a set with measure zero, or in cases where the measure is… …   Wikipedia

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

  • Almost symplectic manifold — In differential geometry, an almost symplectic structure on a differentiable manifold M is a two form ω on M which is everywhere non singular. If, in addition, ω is closed, then it is a symplectic form.An almost symplectic manifold is an Sp… …   Wikipedia

  • Lipschitz continuity — In mathematics, more specifically in real analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a smoothness condition for functions which is stronger than regular continuity. Intuitively, a Lipschitz continuous function is limited in… …   Wikipedia

  • Constant of integration — In calculus, the indefinite integral of a given function (i.e., the set of all antiderivatives of the function) is only defined up to an additive constant, the constant of integration.[1][2] This constant expresses an ambiguity inherent in the… …   Wikipedia

  • Henstock–Kurzweil integral — In mathematics, the Henstock–Kurzweil integral, also known as the Denjoy integral (pronounced [dɑ̃ˈʒwa]) and the Perron integral, is one of a number of definitions of the integral of a function. It is a generalization of the Riemann integral… …   Wikipedia

  • Probability density function — Boxplot and probability density function of a normal distribution N(0, σ2). In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this… …   Wikipedia

  • Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… …   Wikipedia

  • Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …   Wikipedia

  • Weak derivative — In mathematics, a weak derivative is a generalization of the concept of the derivative of a function ( strong derivative ) for functions not assumed differentiable, but only integrable, i.e. to lie in the Lebesgue space L^1( [a,b] ). See… …   Wikipedia

  • Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

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