Gaussian series

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• 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 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 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 Pyramid — A Gaussian Pyramid is a technique used in image processing, especially in texture synthesis. The technique involves creating a series of images which are weighted down using a Gaussian average (Gaussian Blur) and scaled down. When this technique… …   Wikipedia

• Volterra series — The Volterra series and Volterra theorem was developed in 1887 by Vito Volterra. It is a model for non linear behavior, similar to the Taylor series. It differs from the Taylor series in its ability to capture memory effects. The Taylor series… …   Wikipedia

• Additive white Gaussian noise — Explanation= In communications, the additive white Gaussian noise (AWGN) channel model is one in which the only impairment is the linear addition of wideband or white noise with a constant spectral density (expressed as watts per hertz of… …   Wikipedia

• Generalized inverse Gaussian distribution — Probability distribution name =Generalized inverse Gaussian type =density pdf cdf parameters = a > 0, b > 0, p real support = x > 0 pdf =f(x) = frac{(a/b)^{p/2{2 K p(sqrt{ab})} x^{(p 1)} e^{ (ax + b/x)/2} cdf = mean =frac{sqrt{b} K { 1 p}(sqrt{a… …   Wikipedia

• Time series — Time series: random data plus trend, with best fit line and different smoothings In statistics, signal processing, econometrics and mathematical finance, a time series is a sequence of data points, measured typically at successive times spaced at …   Wikipedia

• Edgeworth series — The Gram Charlier A series and the Edgeworth series, named in honor of Francis Ysidro Edgeworth, are series that approximate a probability distribution in terms of its cumulants. The series are the same; but, the arrangement of terms (and thus… …   Wikipedia

• Physical optics — In physics, physical optics, or wave optics, is the branch of optics which studies interference, diffraction, polarization, and other phenomena for which the ray approximation of geometric optics is not valid. This usage tends not to include… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia