An Infinite Playlist

Currently Playing: The Heat Equation + Special Announcement! | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What is the heat equation? And find out who the two new hosts of Infinite Series are! Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Hilbert's 15th Problem: Schubert Calculus | Infinite Series https://www.youtube.com/watch?v=U8sq3BplCfI 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 https://www.youtube.com/watch?v=twBcpxrWm5E Normal Distribution Graph http://www.statisticshowto.com/wp-content/uploads/2013/09/normal-distribution-probability.jpg 3D Plot Heat Graph https://www.mathworks.com/help/examples/matlab/win64/ThreeDPlotsGSExample_01.png 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 (www.kornhaberbrown.com) 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!