convolution

  • 51convolution — n. 1 coiling, twisting. 2 a coil or twist. 3 complexity. 4 a sinuous fold in the surface of the brain. Derivatives: convolutional adj. Etymology: med.L convolutio (as CONVOLUTED) …

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  • 52Produit de convolution de Dirichlet — Convolution de Dirichlet Johann Peter Gustav Lejeune Dirichlet développe son produit en 1937 pour démontrer le théorème de la progression arithmétique. En mathématiques, la convolution de Dirichlet, encore appelée produit de convolution de… …

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  • 53Produit de convolution — En mathématiques, le produit de convolution de deux fonctions f et g, qui se note généralement «   », est une autre fonction, obtenue à l aide d un calcul d intégrales, et généralisant l idée de moyenne glissante. En statistique, on… …

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  • 54Symmetric convolution — In mathematics, symmetric convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution based processes such as Gaussian blur and taking the derivative of a… …

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  • 55Circular convolution — The circular convolution, also known as cyclic convolution, of two aperiodic functions occurs when one of them is convolved in the normal way with a periodic summation of the other function.  That situation arises in the context of the… …

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  • 56Dirichlet convolution — In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Johann Peter Gustav Lejeune Dirichlet, a German mathematician. Contents 1 Definition 2… …

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  • 57Line Integral Convolution — Die Line Integral Convolution (Abkürzung: LIC, zu deutsch: Linienintegralfaltung) ist eine Methode zur wissenschaftlichen Visualisierung von Vektorfeldern (z. B. Strömungsfeldern). Sie stellt ein globales Verfahren zur Verfügung, um alle… …

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  • 58Negacyclic convolution — In mathematics, negacyclic convolution is a convolution between two vectors a and b. It is also called skew circular convolution or wrapped convolution. It results from multiplication of a skew circulant matrix, generated by vector a, with vector …

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  • 59Logarithmic convolution — The scale convolution of two functions s(t) and r(t), also known as their logarithmic convolution is defined as the function : s * l r(t) = r * l s(t) = int 0^infty sleft(frac{t}{a} ight)r(a) frac{da}{a}when this quantity exists.ResultsThe… …

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  • 60Titchmarsh convolution theorem — The Titchmarsh convolution theoremis named after Edward Charles Titchmarsh.The theorem describes the properties of the support of the convolutionof two functions. Titchmarsh convolution theorem E.C. Titchmarshproved the following theorem in 1926 …

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