2018-02-01

[public] 153K views, 4.32K likes, 214 dislikes audio only

PBS Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://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 https://www.amazon.com/Visual-Group-Theory-Problem-Book/dp/088385757X

Geek37 - The silver ratio and the octagon

https://www.youtube.com/watch?v=o-6kWnYfdVk

Polygons, Diagonals, and the Bronze Mean by Antonia Redondo

Buitrago

https://link.springer.com/content/pdf/10.1007/s00004-007-0046-x.pdfl

Previous Episodes:

Beyond the Golden Ratio

/youtube/video/MIxvZ6jwTuA

The Multiplication Multiverse

/youtube/video/H4I2C3Ts7_w

The Mathematics of Diffie Hillman Key Exchange

/youtube/video/ESPT_36pUFc

How to Break Cryptography

/youtube/video/12Q3Mrh03Gk

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 (www.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!