Matches in DBpedia 2014 for { ?s ?p In the mathematical field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks whether it is true that a symmetric convex body with larger central hyperplane sections has larger volume. More precisely, if K, T are symmetric convex bodies in Rn such thatfor every hyperplane A passing through the origin, is it true that Voln K ≤ Voln T?Busemann and Petty showed that the answer is positive if K is a ball.. }
Showing items 1 to 1 of
1
with 100 items per page.
- Busemann–Petty_problem comment "In the mathematical field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks whether it is true that a symmetric convex body with larger central hyperplane sections has larger volume. More precisely, if K, T are symmetric convex bodies in Rn such thatfor every hyperplane A passing through the origin, is it true that Voln K ≤ Voln T?Busemann and Petty showed that the answer is positive if K is a ball.".