ABSTRACT
Mathematician Michael Frazier of Michigan State University was taught that "real" mathematics by "real" mathematicians is and should be useless. "1 never expected to do any applications-I was brought up to believe I should be proud of that," he says. "You did pure harmonic analysis for its own sake, and anything besides that was impure, by definition." But in the summers of 1990 and 1991, he found himself using a mathematical construction to pick out the pop of a submarine hull from surrounding ocean noise.
