2.4 The volume of r-dimensional sphere with radius A is given by an (A) Sr r, wh

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2.4 The volume of r-dimensional sphere with radius A is given by an (A) Sr r, where Sr 2Tr/2/T(r/2) is the surface area of the unit sphere in r dimensions, T(r) t e tdt TT 1/2 Find the (a), and T(1/2 is the gamma function, T 1) appropriate spherical volumes for two and three dimensions. Using a similar limiting argument as in (2) of Section 2.6, show that as the dimensionality increases, almost all the volume inside the sphere tends to be concentrated along a "thin shell" closer to the surface of the sphere than to the center.

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This question should be asked in the physics section, this is the statistics and probability section kindly verify and update your question.

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