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Gaussian function

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  • Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… …   Wikipedia

  • Gaussian blur — Gaussian blur, named for Carl Friedrich Gauss, describes blurring an image by a Gaussian function. It is a widely used effect in graphics software, typically to reduce image noise and reduce detail. The visual effect of this blurring technique is …   Wikipedia

  • Gaussian broadening — refers to broadening effects in spectral lines, these can be produced by Doppler broadening and natural broadening.This effect is similar to Gaussian blur effect in image processing produced by convolution with the Gaussian function.The term is… …   Wikipedia

  • Gaussian beam — In optics, a Gaussian beam is a beam of electromagnetic radiation whose transverse electric field and intensity (irradiance) distributions are well approximated by Gaussian functions. Many lasers emit beams that approximate a Gaussian profile, in …   Wikipedia

  • Gaussian integral — The Gaussian integral, or probability integral, is the improper integral of the Gaussian function e^ x}^2} over the entire real line. It is named after the German mathematician and physicist Carl Friedrich Gauss, and the equation is::int {… …   Wikipedia

  • Gaussian filter — In electronics and signal processing, a Gaussian filter is a filter whose filter window is the Gaussian function:x mapsto sqrt{frac{a}{picdot e^{ a cdot x^2}or with the standard deviation as parameter:x mapsto frac{1}{sqrt{2cdotpi}cdotsigma}cdot… …   Wikipedia

  • Gaussian noise — is noise that has a probability density function (abbreviated pdf) of the normal distribution (also known as Gaussian distribution). In other words, the values that the noise can take on are Gaussian distributed. It is most commonly used as… …   Wikipedia

  • Gaussian quadrature — In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function values at specified points within the domain of integration.(See numerical integration for more on… …   Wikipedia

  • Gaussian network model — The Gaussian network model (GNM), one of many things named after Carl Gauss, is a representation of a biological macromolecule as an elastic mass and spring network to study, understand, and characterize mechanical aspects of its long scale… …   Wikipedia

  • Gaussian adaptation — Articleissues citations missing = July 2008 COI = y expert = Mathematics notability = July 2008 jargon = July 2008 OR = September 2007 primarysources = July 2008 technical = July 2008Gaussian adaptation (GA) is an evolutionary algorithm designed… …   Wikipedia

  • Gaussian period — In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. They permit explicit calculations in cyclotomic fields, in relation both with Galois theory and with harmonic analysis (discrete Fourier… …   Wikipedia

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