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What is...? Seminar - Maxwell Budd

math_sculpture
June 22, 2017
4:00 pm - 5:00 pm
Scott Lab N050

Title: What are Rademacher functions?

Speaker: Maxwell Budd (Ohio State University)

Abstract: The binary expansion of a given number is normally stored as a sequence of zeros and ones. However, the Rademacher functions {$r​_k​(t)$} map the k-th binary digit of a number from 1 to -1 and from 0 to 1, resulting in a surprisingly useful construction. The functions form an incomplete orthonormal basis on [0,1] from which a complete basis, the Walsh system, can be constructed, and they also are a valuable instrument of proof. In this talk we will get an intuition for the Rademacher functions, use them to prove a classical formula, and explore their relations to probability theory and convergence. 

Seminar URL: https://math.osu.edu/whatis

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