uniformizing

Verb

uniformize (third-person singular simple present uniformizes, present participle uniformizing, simple past and past participle uniformized)

1. (transitive) To make uniform; to make the same throughout.
   • The American Medical Association (AMA) was formed in 1845 to gain for medical doctors a monopoly on legal licensure as health practitioners. The young AMA waged fierce (and quite successful) battles to de-certify the then-dominant natural healers — a range of herbalists, midwives, and homeopathic...1989 August 19, Bob Lederer, “Hiding Behind HIV”, in Gay Community News, volume 17, number 6, page 8
2. To carry out a process of uniformization, by which a multiple-valued function on a Riemann surface is converted to a single-valued function.
   • It is clear that these functions are also the only ones to be uniformized by the simple mapping of the Riemann surface, for of course any function that is single-valued in t must have been, before the mapping, a single-valued function on the Riemann surface.2000, Ludwig Bieberbach, Conformal Mapping, →ISBN, page 198