Why is Kullback–Leibler divergence a divergence. How is it related to divergence of a vector field?

Question

Why is Kullback–Leibler divergence a divergence. How is it related to divergence of a vector field

Answer 1

Considering that the vector calculus concept's Wikipedia article opens

This article is about divergence in vector calculus. For divergence of infinite series, see Divergent series. For divergence in statistics, see Divergence (statistics). For other uses, see Divergence (disambiguation).

and KL is an example of a divergence in statistics and its own article opens

Not to be confused with divergence in vector calculus.

I think the names are unrelated. There are just too many times in the history of mathematics terminology someone has needed a name that conveys a difference between things.