Laplace transform of a function

Laplace transform of a function
Техника: изображение функции по Лапласу

Универсальный англо-русский словарь. . 2011.

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  • Laplace transform — In mathematics, the Laplace transform is one of the best known and most widely used integral transforms. It is commonly used to produce an easily soluble algebraic equation from an ordinary differential equation. It has many important… …   Wikipedia

  • Laplace transform — Math. a map of a function, as a signal, defined esp. for positive real values, as time greater than zero, into another domain where the function is represented as a sum of exponentials. Cf. Fourier transform. [1940 45; after P. S. LAPLACE] * * *… …   Universalium

  • laplace transform — ləˈpläs , las noun Usage: usually capitalized L Etymology: after Pierre Simon de Laplace died 1827 French astronomer and mathematician : a transformation of a function f(x) into the function g(t) = ∫0∞ e xt f(x) dx that is useful especially in… …   Useful english dictionary

  • Laplace transform — Etymology: Pierre Simon, Marquis de Laplace Date: 1942 a transformation of a function f(x) into the function g(t) = ∫0∞ e xt f(x) dx that is useful especially in reducing the solution of an ordinary linear differential equation with constant… …   New Collegiate Dictionary

  • Laplace transform — noun a function on positive real numbers such that differentiation and integration are reduced to multiplication and division See Also: ℒ …   Wiktionary

  • Two-sided Laplace transform — In mathematics, the two sided Laplace transform or bilateral Laplace transform is an integral transform closely related to the Fourier transform, the Mellin transform, and the ordinary or one sided Laplace transform. If f ( t ) is a real or… …   Wikipedia

  • Inverse Laplace transform — Contents 1 Mellin s inverse formula 2 Post s inversion formula 3 See also 4 References 5 Ext …   Wikipedia

  • Laplace–Stieltjes transform — The Laplace–Stieltjes transform, named for Pierre Simon Laplace and Thomas Joannes Stieltjes, is a transform similar to the Laplace transform. It is useful in a number of areas of mathematics, including functional analysis, and certain areas of… …   Wikipedia

  • Laplace, Pierre-Simon, marquis de — born March 23, 1749, Beaumount en Auge, France died March 5, 1827, Paris French mathematician, astronomer, and physicist. He is best known for his investigations into the stability of the solar system and the theory of magnetic, electrical, and… …   Universalium

  • Transform (mathematics) — In mathematics a transform is an operator applied to a function so that under the transform certain operations are simplified. For example, in arithmetic when finding the logarithm of numbers, the process of finding the logarithm of the product… …   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


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