I use LaTeX conventions to define the mathematic formulae here. It may not make sense on your mobile device or computer. You can find the properly formatted derivation at the Discord Server.
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Rome wasn't built in a day. Guy recognised that building up to the topics of Fourier Series and Transforms would take quite a bit of time, even with Marie's enthusiasm and receptivity to the rather arcane mathematical concepts leading up to it. All that said, Guy had seriously underestimated Marie's aptitude. What Guy assumed would take him at least a few weeks was accomplished in just one.
Guy and Marie were alone in the classroom. After Markus' incisive remarks the last time, Marie had become more conscious about intruding into Guy's personal time with technical problems. She did, however, poke in once in a while to play a game or mess around with Markus who admittedly took his post as a Disciple way too seriously.