Bregman divergences correspond to convex functions on convex sets. All these divergences stem from that of the correlation length. Similar loop divergences occur in other quantum field theories. Ultraviolet divergences are dealt with by renormalization. Some divergences between species could also result from contrasts in microhabitats. They also showed how these infrared divergences exponentiate. Divergences from the grammar described here occur in some dialects. In more than two spacetime dimensions the problem is related to the regularization of divergences. For photons, these divergences are well understood. Bregman divergences between matrices include the Stein's loss and von Neumann entropy. This was a critical step in identifying the source of "infinities" and "divergences". France displays real divergences from the standard model of Western demographic evolution. While earlier alternate histories examined reasonably straightforward divergences, Leinster attempted something completely different. Some types of distance measures are referred to as (statistical) divergences. However, Feynman diagrams with at least two loops lead to ultraviolet divergences.