The main purpose is to indicate how badly the sum of a continuous function with a Darboux function can fail to be a Darboux function. Journal Information This monthly journal, begun in 1950, is ...

The Sum Squares function, also referred to as the Axis Parallel Hyper-Ellipsoid function, has no local minimum except the global one. It is continuous, convex and unimodal. It is shown here in its two ...