 If "C" is a non-empty convex cone in "X", then the linear span of "C" is equal to "C" - "C" and the largest vector subspace of "X" contained in "C" is equal to "C" ∩ (-"C").A pointed and salient convex cone "C" induces a partial ordering "≤" on "V", defined so that formula_33 if and only if formula_34 (If the cone is flat, the same definition gives merely a preorder.