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a theorem of Gauss

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  • Gauss–Bonnet theorem — The Gauss–Bonnet theorem or Gauss–Bonnet formula in differential geometry is an important statement about surfaces which connects their geometry (in the sense of curvature) to their topology (in the sense of the Euler characteristic). It is named …   Wikipedia

  • Gauss' law for gravity — In physics, Gauss law for gravity, also known as Gauss flux theorem for gravity, is a law of physics which is essentially equivalent to Newton s law of universal gravitation. Its form is mathematically similar to Gauss law for electricity; in… …   Wikipedia

  • Gauss–Kuzmin–Wirsing operator — GKW redirects here. For the Indian engineering firm see Guest Keen Williams.In mathematics, the Gauss–Kuzmin–Wirsing operator occurs in the study of continued fractions; it is also related to the Riemann zeta function. IntroductionThe… …   Wikipedia

  • Gauss–Kuzmin distribution — Probability distribution name =Gauss–Kuzmin type =mass parameters =(none) support =k in {1,2,ldots} pdf = log 2left [ 1 frac{1}{(k+1)^2} ight] cdf =1 log 2left(frac{k+2}{k+1} ight) mean =+infty median =2, mode =1, variance =+infty skewness =(not… …   Wikipedia

  • Gauss's law — In physics, Gauss s law, also known as Gauss s flux theorem, is a law relating the distribution of electric charge to the resulting electric field. It is one of the four Maxwell s equations, which form the basis of classical electrodynamics, and… …   Wikipedia

  • Gauss–Markov theorem — This article is not about Gauss–Markov processes. In statistics, the Gauss–Markov theorem, named after Carl Friedrich Gauss and Andrey Markov, states that in a linear model in which the errors have expectation zero and are uncorrelated and have… …   Wikipedia

  • Gauss , Karl Friedrich — (1777–1855) German mathematician Gauss came of a peasant background in Brunswick, Germany, and his extraordinary talent for mathematics showed itself at a very early age. By the age of three, he had discovered for himself enough arithmetic to be… …   Scientists

  • Gauss-Lucas theorem — In complex analysis, the Gauss Lucas theorem gives a geometrical relation between the roots of a polynomial P and the roots of its derivative P . The set of roots of a real or complex polynomial is a set of points in the complex plane. The… …   Wikipedia

  • Gauss's law for magnetism — In physics, Gauss s law for magnetism is one of Maxwell s equations, the four equations that underlie classical electrodynamics. It states that the magnetic field B has divergence equal to zero, in other words, that it is a solenoidal vector… …   Wikipedia

  • Gauss, Carl Friedrich — orig. Johann Friedrich Carl Gauss born April 30, 1777, Brunswick, Duchy of Brunswick died Feb. 23, 1855, Göttingen, Hanover German mathematician, astronomer, and physicist. Born to poor parents, he was a prodigy of astounding depth. By his early… …   Universalium

  • 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

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