Before revision:  By the Spherical}-CHM we mean a CHM, where p=0 , v =1, \forall v \in S . First, we prove the equivalence of exact and approximate versions of CHM and Spherical-CHM.
After revision:  By the Spherical}-CHM we mean a CHM, where p=0 , v and each point in S has unit norm . First, we prove the equivalence of exact and approximate versions of CHM and Spherical-CHM.