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Laplace integral

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  • Laplace-Transformation —   [la plas ; nach P. S. Marquis de Laplace], eine mit dem Fourier Integral (Fourier Transformation) verwandte Integraltransformation, die mit dem Integralkern K (s, t) = e st definiert wird. Man unterscheidet ein und zweiseitige Laplace… …   Universal-Lexikon

  • Laplace-Transformation — Die Laplace Transformation, benannt nach Pierre Simon Laplace, ist eine einseitige Integraltransformation, die eine gegebene Funktion f vom reellen Zeitbereich in eine Funktion F im komplexen Spektralbereich (Frequenzbereich; Bildbereich)… …   Deutsch Wikipedia

  • 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 operator — This article is about the mathematical operator. For the Laplace probability distribution, see Laplace distribution. For graph theoretical notion, see Laplacian matrix. Del Squared redirects here. For other uses, see Del Squared (disambiguation) …   Wikipedia

  • Laplace's equation — In mathematics, Laplace s equation is a partial differential equation named after Pierre Simon Laplace who first studied its properties. The solutions of Laplace s equation are important in many fields of science, notably the fields of… …   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

  • Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

  • Laplace–Runge–Lenz vector — Throughout this article, vectors and their magnitudes are indicated by boldface and italic type, respectively; for example, left| mathbf{A} ight| = A. In classical mechanics, the Laplace–Runge–Lenz vector (or simply the LRL vector) is a vector… …   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-Versuch — Die Wahrscheinlichkeitstheorie oder Wahrscheinlichkeitsrechnung ist ein Teilgebiet der Mathematik. Gemeinsam mit der Kombinatorik und der mathematischen Statistik bildet sie das mathematische Teilgebiet der Stochastik, die von der Beschreibung… …   Deutsch Wikipedia

  • integral transform — In mathematics, a function that results when a given function is multiplied by a so called kernel function, and the product is integrated (see integration) between suitable limits. Its value lies in its ability to simplify intractable… …   Universalium

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