This is a preview. Log in through your library . Abstract The goal of this paper is to introduce the approximated convex envelope of a function and to estimate how it differs from its convex envelope.

Given a separated dual system (E, E'), the Fenchel transform determines a pairing of the convex functions on E with the convex functions on E'. This operation is shown to have a continuity property.

A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane. One of the oldest problems in geometry asks which shapes tile ...