Definition 13.6.1 (Polytope and Polyhedron).label Polytope is the convex hull of a finite set of points in $\R^{d}$. Let $\curl{c_i}_{1}^{m}\suf\R^{d}$ and $\curl{\be_i}_{1}^{m}\in\R$ then the set
\begin{align*}P=\curl{x\in\R^d:\inner{c_i}{x}\leq \be_i,i=1,...,m}\end{align*}
is called a polyhedron
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