Convex Cone - Proper Convex Cone

Proper Convex Cone

The term proper (convex) cone is variously defined, depending on the context. It often means a salient convex cone that is not contained in any hyperplane of V, possibly with other conditions such as topologically closed (and hence pointed), or topologically open (and hence blunt). Some authors use the term "wedge" for what this article calls a convex cone, and reserve "cone" for what this article calls a salient pointed cone or for one of the notions of proper cone just described.

Read more about this topic:  Convex Cone

Famous quotes containing the word proper:

    There is no mystery in a looking glass until someone looks into it. Then, though it remains the same glass, it presents a different face to each man who holds it in front of him. The same is true of a work of art. It has no proper existence as art until someone is reflected in it—and no two will ever be reflected in the same way. However much we all see in common in such a work, at the center we behold a fragment of our own soul, and the greater the art the greater the fragment.
    Harold C. Goddard (1878–1950)