Timeline for Mean width of a simplex as one edge becomes longer
Current License: CC BY-SA 4.0
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Jan 14, 2023 at 6:01 | comment | added | Ivan Izmestiev | Usually this is stated in a broader context of quermassintegrals: the average volume of projections to $k$-dimensional linear subspaces is proportional to a certain mixed volume, which is a coefficient in the Steiner formula. I can mention two books: Santalo, Integral geometry and geometric probability, and Schneider, Convex bodies: the Brunn-Minkowski theory. | |
Jan 14, 2023 at 3:56 | comment | added | Pluviophile | Could you provide a reference on 1.? | |
Jan 12, 2023 at 17:46 | history | answered | Ivan Izmestiev | CC BY-SA 4.0 |