Waardenburg Syndrome Due to PAX3 Mutations - Waardenburg Syndrome Due to PAX3 Mutations Waardenburg Syndrome was discovered in 1951 by a Dutch opthamologist, Petrus Johannes Waardenburg. He observed that often people with two different colored eyes also had hearing problems.
Range-Range is the difference between the lowest number and the highest number. Take, for example, math test scores. Let's say your best score all year was a 100 and your worst was a 75. Then the rest of the scores don't matter for range.
In mathematics, and more specifically in naive set theory, the range of a function refers to either the codomain or the image of the function, depending upon usage. Modern usage almost always uses range to mean image. The codomain of a function is some arbitrary set. In real analysis, it is the real numbers.