uniformize

verb uniformizes · uniformizing · uniformized · uniformise

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 do
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.