Consider a sphere of radius a in D-dimensions together with
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Consider a sphere of radius a in D-dimensions together with the concentric hypercube of side 2a, so that the sphere touc
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Consider a sphere of radius a in D-dimensions together with the concentric hypercube of side 2a, so that the sphere touches the hypercube at the centres of each of its sides. By using the results of Exercise 1.18, show that the ratio of the volume of the sphere to the volume of the cube is given by volume of sphere volume of cube = ?D/2 D2D?1?(D/2). (1.145) Now make use of Stirling
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