ILLUMINATION AND EXPOSITION OF A CONVEX n-DIMENSIONAL BODY DEPENDING ON ITS SHARPNESS  

作　　者：Boris V. Dekster Mathematics, Mount Allison University, Sackville, N.B. EOA 3C0, Canada 

出　　处：《Acta Mathematica Scientia》2002年第2期189-198,共10页数学物理学报（B辑英文版）

摘　　要：A convex n-body C is said to be exposable to a set D of a few directions if there is a linear transformation L : En → En such that L(C) arid each body isometric to L(C) is illuminated by D. Denote by En the minimum integer such that each C is exposable to a (fixed) set D of cardinality En. An upper bound for En is established here.A convex n-body C is said to be exposable to a set D of a few directions if there is a linear transformation L : En → En such that L(C) arid each body isometric to L(C) is illuminated by D. Denote by En the minimum integer such that each C is exposable to a (fixed) set D of cardinality En. An upper bound for En is established here.

关 键 词：COVERING ILLUMINATION Hadwiger conjecture 

分 类 号：O184[理学—数学]