Gaussian sum

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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 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

• Gaussian curvature — In differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ 1 and κ 2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how… …   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 integer — In number theory, a Gaussian integer is a complex number whose real and imaginary part are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as Z[i]. The… …   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 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 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 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 orbital — In computational chemistry and molecular physics, Gaussian orbitals (also known as Gaussian type orbitals, GTOs or Gaussians) are functions used as atomic orbitals in the LCAO method for the computation of electron orbitals in molecules.… …   Wikipedia

• Gauss sum — In mathematics, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically: G ( chi;, psi;) = Sigma; chi;( r ) psi;( r )where the sum is over elements r of some finite commutative ring R , psi;( r ) is a group… …   Wikipedia