Can You Convolve? If You Can't, You Should Learn
Speaker: Patrick Van Fleet, UST
Date & Time:
7:00 AM - 8:00 AM
Owens Science Center (OWS 257)
Abstract: The discrete convolution operator is a tool that is utilized in the solution of many problems in applied mathematics. Actually, anyone reading this abstract has been convolving vectors since they were in grade school. I will explain how you have been doing this. We will also discuss three other applications - large scale multiplication, echo location in the presence of noise, and Kasner’s problem. This last application is easily stated as follows: Given N points in the plane, we can easily designate them as vertices of an N-gon and (almost as easily), compute the coordinates of the midpoints. But what if the N points ARE the midpoints? Can we figure out the vertices of the N-gon?