Question

One numerical implementation of this operation has a time complexity that is dependent upon how fast Cunningham chains grow - that algorithm is named for Rader, which is an alternative to Bluestein’s algorithm that computes a very similar ‘chirp-z’ operation to this one. This operation can be generalised to locally compact Abelian groups (15[1])in a duality named for Pontryagin. This operation is unitary according to (*) Plancherel’s theorem and performing it on e to (10[1])the minus absolute value of t gives a Lorentzian. The (10[1])total area under ‘sinc squared’ can be calculated using Parseval’s theorem for this operation. This operation on a function f of t equals the integral of f of t times the exponential of i omega t with respect to t. For 10 points, the time domain is mapped to the frequency domain in what integral transform? ■END■

ANSWER: Fourier transforms [accept fast Fourier Transform or FFT or discrete Fourier transform or DFT prompt on Fourier series]
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Maxwell YeJeff Weiner Fan Clubdoubleplusnegfive5215
Davis Everson-RoseWeird Klaus BarbiePalestrina Sawayama7210
Shardul RaoOur Job is BuzzBHSU8210

Summary

2023 UMN COOT08/19/2023Y3100%33%0%68.67