Partially Ordered Sets and Hasse Diagrams | Discrete Math
We cover posets (partially ordered sets) and Hasse diagrams that represent them. We'll see examples of sets with partial orders on them, beginning with a pow...

Wrath of Math
41.7K views โข Nov 7, 2022

About this video
We cover posets (partially ordered sets) and Hasse diagrams that represent them. We'll see examples of sets with partial orders on them, beginning with a power set and the subset relation. Partial orders are reflexive, transitive, and antisymmetric, which we discuss with examples. We also cover the construction of Hasse diagrams, as well as minimal, maximal, minimum, and maximum elements of a partially ordered set. #discretemathematics
Lesson on Hasse Diagrams: https://youtu.be/0UqXYpAscy8
Discrete Math playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXgpx57CEhZScNk2lWs1LdU
Discrete Math exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxW14CkPnOTIuGf2hUeX8jX0
โTextbooks I Likeโ
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd
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โ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons
โ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
Follow Wrath of Math on...
โ Instagram: https://www.instagram.com/wrathofmathedu
โ Facebook: https://www.facebook.com/WrathofMath
โ Twitter: https://twitter.com/wrathofmathedu
My Math Rap channel: https://www.youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Lesson on Hasse Diagrams: https://youtu.be/0UqXYpAscy8
Discrete Math playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXgpx57CEhZScNk2lWs1LdU
Discrete Math exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxW14CkPnOTIuGf2hUeX8jX0
โTextbooks I Likeโ
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd
โ DONATEโ
โ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons
โ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
Follow Wrath of Math on...
โ Instagram: https://www.instagram.com/wrathofmathedu
โ Facebook: https://www.facebook.com/WrathofMath
โ Twitter: https://twitter.com/wrathofmathedu
My Math Rap channel: https://www.youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
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Video Information
Views
41.7K
Likes
990
Duration
16:10
Published
Nov 7, 2022
User Reviews
4.7
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