PBS Infinite Series | The Multiplication Multiverse | Infinite Series @pbsinfiniteseries | Uploaded 6 years ago | Updated 3 hours ago
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What happens if you multiply things that arenât numbers? And what happens if that multiplication is not associative?
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The Heat Equation + Special Announcement | Infinite Series
youtube.com/watch?v=NHucpzbD600
Multiplication of numbers is an associative property and we can make sense of âmultiplicationâ between things that arenât numbers but thatâs not considered as associativity. And since weâre talking about associativity, you might wonder about that other property of real numbers: You know: when multiplying two numbers, swapping their order doesnât change the answer. This property is called commutativity. But keep in mind: itâs a very special property to have! Not everything in life is commutative. For example, getting dressed in the morning... putting on your socks and then your shoes is NOT the same as first putting on your shoes and then your socks.
Link to Resources:
The Fundamental Group: âLoop concatenationâ
http://www.math.uchicago.edu/~may/VIGRE/VIGRE2009/REUPapers/Landau.pdf
Written and Hosted by Tai-Danae Bradley
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!
Viewers like you help make PBS (Thank you đ) . Support your local PBS Member Station here: to.pbs.org/donateinfi
What happens if you multiply things that arenât numbers? And what happens if that multiplication is not associative?
Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com
Previous Episode
The Heat Equation + Special Announcement | Infinite Series
youtube.com/watch?v=NHucpzbD600
Multiplication of numbers is an associative property and we can make sense of âmultiplicationâ between things that arenât numbers but thatâs not considered as associativity. And since weâre talking about associativity, you might wonder about that other property of real numbers: You know: when multiplying two numbers, swapping their order doesnât change the answer. This property is called commutativity. But keep in mind: itâs a very special property to have! Not everything in life is commutative. For example, getting dressed in the morning... putting on your socks and then your shoes is NOT the same as first putting on your shoes and then your socks.
Link to Resources:
The Fundamental Group: âLoop concatenationâ
http://www.math.uchicago.edu/~may/VIGRE/VIGRE2009/REUPapers/Landau.pdf
Written and Hosted by Tai-Danae Bradley
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!
