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The distance to a polyhedron

โœ Scribed by C. Bergthaller; Ivan Singer


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
768 KB
Volume
169
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


On the section of a convex polyhedron
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Let P be a convex polyhedron in R s, and E be a plane cutting P. Then the section Pt=Pc~E is a convex polygon. We show a sharp inequality (the perimeter of Pe) <~ L(P), where L(P) denotes the sum of the edge-lengths of P. For a polyhedron (or a polygon) X, L(X) denotes the sum of the edge-lengths o

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The Distance from l to a Subspace of Lp
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For ( p -2) (r-2)-=0 andB any n-dimensional subspaw of an Lppace, the BANAVH-MAWR distance from Z : to E' is at most cn"(1og n)P, where ct is the natural exponent a --I 1 1 1 =mas { -i. 1 , -I ) and fi depends on p nud r. 'For E and F normed spaces the BANACH-MAZUR distance from E to F is defined t