Channel: PBS Infinite Series

Category: Education

Tags: pbsfibonacciequivalenteducationmodmathematicsmathsinfiniteintegersymmetriczeromodular arithmeticdivide by zerogolden ratiodividetransitivemetallic ratioinfinite seriesequivalencemodularsetsequationcongruencegroup theoryphiquotientreflexivesilver ratiomathdivide by 0

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi What happens when you divide things that aren’t numbers? Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com RESOURCES Visual Group Theory by Nathan Carter amazon.com/Visual-Group-Theory-Problem-Book/dp/088385757X Geek37 - The silver ratio and the octagon youtube.com/watch?v=o-6kWnYfdVk Polygons, Diagonals, and the Bronze Mean by Antonia Redondo Buitrago link.springer.com/content/pdf/10.1007/s00004-007-0046-x.pdfl Previous Episodes: Beyond the Golden Ratio youtube.com/watch?v=MIxvZ6jwTuA&t=600s The Multiplication Multiverse youtube.com/watch?v=H4I2C3Ts7_w The Mathematics of Diffie Hillman Key Exchange youtube.com/watch?v=ESPT_36pUFc How to Break Cryptography youtube.com/watch?v=12Q3Mrh03Gk&t=130s&list=PLa6IE8XPP_glwNKmFfl2tEL0b7E9D0WRr&index=42 We all know you can’t divide by the number zero. But in some sense the notion of “dividing by zero” appears every time you use modular arithmetic! The structures that underlie this “modding business” are called equivalence relations and quotient sets. And that’s what I’d like to dive into today. Written and Hosted by Tai-Danae Bradley Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington Made by Kornhaber Brown (kornhaberbrown.com) Special thanks to Roman Pinchuk for supporting us on our Converse level on Patreon. Along with thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose and Mauricio Pacheco for supporting us at the Lemma level!