High Quality Content by WIKIPEDIA articles! In mathematics, Gaussian measure is a Borel measure on finite-dimensional Euclidean space Rn, closely related to the normal distribution in statistics. There is also a generalization to infinite- dimensional spaces. Gaussian measures are named after the German mathematician Carl Friedrich Gauss. Let n N and let B0(Rn) denote the completion of the Borel -algebra on Rn. Let n : B0(Rn) -> [0, + ] denote the usual n-dimensional Lebesgue measure

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