APM236H1 Lecture 2: 2
18 Jan 2019
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Document Summary
Det the convex hull at a finiteset at pts is called a convex polytope. Det a rectangle in rh 12 1 4214 hi ex i ebi i l s i en extreme points i to 1 17 ate is bounded if. Det a set in ri itis contained in some rectangle. It is called unbounded if it"s not contained in any rectangle. Thm any convex poftope is bounded pf xx. Let r be a rectangle containing xi xk. Note 122s pts y yinyk er convex hull at tx s. R her hi ex iebi i l si en be maxtali adi midi. Det a convex polyhedron is the intersection at finitely many haltspaces. Fact a bounded convex polyhedron is a convex polytope. Det convex function it a function f defined on a convex set s er iscalled ltnfixs all x xses. Det a function f rh is called a linear function.
