Robert Richman addressed this problem, but he too did not identify the Thue–Morse sequence as such at the time of publication. He presented the sequences "Tn" as step functions on the interval [0,1] and described their relationship to the Walsh and Rademacher functions. He showed that the "n"th derivative can be expressed in terms of "Tn". As a consequence, the step function arising from "Tn" is orthogonal to polynomials of order "n" − 1. A consequence of this result is that a resource whose value is expressed as a monotonically decreasing continuous function is most fairly allocated using a sequence that converges to Thue-Morse as the function becomes flatter. An example showed how to pour cups of coffee of equal strength from a carafe with a nonlinear concentration gradient, prompting a whimsical article in the popular press.