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What is Borwein Integral Properties and Proofs about?

This document discusses two curious integrals involving the sinc function. It summarizes an article that explains why a sequence of integrals of sinc functions multiplied together equals π/2 up to a certain point, but then breaks down. The article presents a simpler, graphical proof using Fourier transforms to illustrate why the pattern changes. It also shows that with an additional 2cos(t) factor, the sequence does not break down until much later.

Author

Tune Lis

Language

EN