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Volume of an n-ball

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In geometry, a ball is a region in a space comprising all points within a fixed distance, called the radius, from a given point; that is, it is the region enclosed by a sphere or hypersphere. An n-ball is a ball in an n-dimensional Euclidean space. The volume of a n-ball is the Lebesgue measure of this ball, which generalizes to any dimension the usual volume of a ball in 3-dimensional space. The volume of a n-ball of radius R is

Volume of an n-ball - Wikipedia Jump to content From Wikipedia, the free encyclopedia Size of a mathematical ball Volumes of balls in dimensions 0 through 25; unit ball in red. In geometry , a ball is a region comprising all points within a fixed distance , called the radius , from a given point; that is, it is the region enclosed by a sphere or hypersphere . An n -ball is a ball in an n -dimensional Euclidean space . The volume of a n -ball is the Lebesgue measure of this ball, which generalizes to any dimension the usual volume of a ball in 3-dimensional space . The volume of a n -ball of ra

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