6. Intrinsic volumes in...
CI above: Intrinsic volumes in
The sizes of convex bodies at
(volumes, surface perimeters and areas, diameters, etc.) can be referred to as intrinsic volumes.
Historically, the volume of a convex body was defined by approximations by polytope volumes (in dimension 2 by D. Hilbert (1899), then in dimension 3 by H. Minkowski (1911) (p. 46 of
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Intrinsic volumes in...
Bibliography
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(1) - ALEXANDROV (A.D.) -
Zur Theorie der gemischten Volumina von konvexen Körpern, II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen,
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Matematicheskii Sbornik N. S. 2, pp. 1205-1238, (en russe avec un résumé en allemand) (1937).
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(2)...
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