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[MUSIC PLAYING] The heat equation is a fundamental differential equation, conducive to pretty pictures, widely applicable, and the subject of my dissertation. So what is the heat equation? Before we get into the math, I have a very difficult announcement to make. This is my final episode as the writer and host of Infinate Series. Its been an incredible experience. In the last year, weve learned a lot together, about infinite chess, simplicial complexs hidden in your brain, quantum algorithms, and so much more. I love researching and writing about this fun math, and talking to you all about it within the videos and in the comments. You all, engaged, thoughtful, curious, are my favorite group of 150,000 collaborators. But after 44 episodes of Infinite Series, my dissertation is calling. It needs to be finished. So Im going to submerge myself in research. Dont worry, Im leaving the show in very capable hands, four hands in fact. At the end of this episode, Ill introduce you t