Convex States

What is a convex set?  An object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object.  Mathematically, we can define a convex set as follows. C is a convex set if: αx+(1-α)y ∈ C, ∀ α ∈ [0,1], ∀ x,y ∈ C. In other words, this…