Math News: The Fish Bone Conjecture has been deboned!!

Dr. Trefor Bazett December 11, 2024
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Dr. Trefor Bazett

@drtrefor

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This channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well as many more videos on cool math topics or about learning effectively. I am an Associate Teaching Professor teaching mathematics at the University of Victoria, in Canada. I completed my PhD in a fun branch of math called Algebraic Topology at the University of Toronto. Many of the videos on this channel were filmed during my time as an Assistant Professor, Educator at the University of Cincinnati. Mathematics is a journey we can all participate in. My videos can help support you, give you tools, and show you some of beauty and power of mathematics. But ultimately it is a journey we must travel together, so make sure you don't JUST watch my videos. Ask questions, try problems, and do as much math as you can on your own too!

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Congrats to Lawrence Hollom for this new result! Interview with Lawrence Hollom starts at 10:41. Check out his paper here: https://arxiv.org/abs/2411.16844 BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS I LOVE (affilliate link): ► https://www.amazon.com/shop/treforbazett 0:00 Fish Bone Conjecture 0:24 Partial Ordered Sets 1:27 Chains and Antichains 2:31 Concrete Example 4:33 Fishbones 8:00 Example with no fishbone 10:41 Lawrence explains the paper 11:44 What did you expect? 13:51 Timothy Gowers' Spies 15:38 Disproving conjectures 18:33 Upgrading the Conjecture 19:20 Intuition for the theorem COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw ►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 ►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX OTHER PLAYLISTS: ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: http://tiktok.com/@drtrefor ►Instagram (photography based): http://instagram.com/treforphotography