The Heat Equation + Special Announcement! | Infinite Series

by Super User, 4 years ago
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What is the heat equation? And find out who the two new hosts of Infinite Series are!

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Previous Episode
Hilbert's 15th Problem: Schubert Calculus | Infinite Series

Imagine a giant -- endless, infinite -- sheet of metal. For mathematical convenience, let’s overlay a grid. Now, imagine you light a very tiny and very powerful match directly underneath the origin, the point (0,0). This super special match instantaneously creates infinite heat at the origin, and zero heat everywhere else. Immediately remove the match and watch the heat diffuse along the surface, radiating out from the origin.

Links to Resources:
Distribution of Heat Graph

Normal Distribution Graph

3D Plot Heat Graph

Written and Hosted by Kelsey Houston-Edwards
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow
Made by Kornhaber Brown (

Thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level!

And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!