๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Finding the extremum of a function on a polyhedron

โœ Scribed by I.A. Bakhtin; M.A. Krasnosel'skii; A.Yu. Levin


Publisher
Elsevier Science
Year
1963
Weight
666 KB
Volume
3
Category
Article
ISSN
0041-5553

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the section of a convex polyhedron
โœ Peter Frankl; Hiroshi Maehara; Junichiro Nakashima ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

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