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everywhere smooth function

См. также в других словарях:

  • Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not …   Wikipedia

  • Smooth coarea formula — In Riemannian geometry, the smooth coarea formulas relate integrals over the domain of certain mappings with integrals over their codomains.Let scriptstyle M,,N be smooth Riemannian manifolds of respective dimensions scriptstyle m,geq, n. Let… …   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

  • Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …   Wikipedia

  • Maximal function — Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability… …   Wikipedia

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

  • Sinc function — In mathematics, the sinc function, denoted by scriptstylemathrm{sinc}(x), and sometimes as scriptstylemathrm{Sa}(x),, has two definitions, sometimes distinguished as the normalized sinc function and unnormalized sinc function. In digital signal… …   Wikipedia

  • Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …   Wikipedia

  • Lacunary function — In analysis, a lacunary function, also known as a lacunary series, is an analytic function that cannot be analytically continued anywhere outside the circle of convergence within which it is defined by a power series. The word lacunary is derived …   Wikipedia

  • Sign function — In mathematics, the sign function is a mathematical function that extracts the sign of a real number. To avoid confusion with the sine function, this function is often called the signum function (after the Latin form of sign ).In mathematical… …   Wikipedia

  • Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …   Wikipedia

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