Mean width

• abstract: In geometry, the mean width is a measure of dimension length of the "size" of a body; see Hadwiger's theorem for more about the available measures of bodies. In n dimensions, one has to consider (n-1)-dimensional hyperplanes perpendicular to a given direction \hat{n} in S^{n-1}, where S^n is the n-sphere (the surface of a (n+1)-dimensional sphere).

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