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On the quest for mathematical beauty and truthMon, 10 Jan 2022 11:42:47 +0000
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Comment on The 3x+1 problem! by James Thomas
http://www.mathematicalgemstones.com/gemstones/the-3x1-problem/#comment-1426
Mon, 10 Jan 2022 11:42:47 +0000http://mathematicalgemstones.wordpress.com/?p=447#comment-1426I’m not a mathematician, but logic tells me that since there are an infinite number of values available for x, (same as saying you can never run out of values for x) then surely it must be impossible to finally prove the validity of the theory that any value of x will lead you back to 1. You can find ever increasing values for x that will lead you back to 1 without proving the theory, (only, with higher and higher values for x making it more and more probable without ever being able to reach a probability of 1). However, (though such a number may never be found), you only have to find one number that doesn’t lead back to 1, to disprove the theory.
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Comment on Schubert Calculus mini-course by Dany Majard
http://www.mathematicalgemstones.com/gemstones/sapphire/schubert-calculus-mini-course/#comment-1425
Tue, 28 Dec 2021 17:33:28 +0000http://www.mathematicalgemstones.com/?p=2333#comment-1425The urls have changed. Here is the link for the first lecture: http://www.crm.umontreal.ca/video/video.php?v=2017/EcoleEte-20170612-MariaGillespie-1de5.mp4
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Comment on Counting ballots with crystals by Maria Gillespie
http://www.mathematicalgemstones.com/gemstones/counting-ballots-with-crystals/#comment-1423
Tue, 12 Oct 2021 14:36:48 +0000http://www.mathematicalgemstones.com/?p=2662#comment-1423In reply to neozhaoliang.

That’s a good question! I don’t actually know. I’ll have to think about it!

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Comment on Counting ballots with crystals by neozhaoliang
http://www.mathematicalgemstones.com/gemstones/counting-ballots-with-crystals/#comment-1342
Sun, 13 Jun 2021 09:55:04 +0000http://www.mathematicalgemstones.com/?p=2662#comment-1342Very nice post! Is there a proof of the “hook length formula” using cystals?
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Comment on A linear algebra-free proof of the Matrix-Tree Theorem by SSA
http://www.mathematicalgemstones.com/gemstones/a-linear-algebra-free-proof-of-the-matrix-tree-theorem/#comment-1254
Tue, 04 May 2021 22:51:43 +0000http://www.mathematicalgemstones.com/?p=2564#comment-1254Can this combinatorial proof be extended to prove that *any* cofactor of the Laplacian will give you the number of spanning trees (which at least is true in undirected graphs — not sure if there is a corresponding generalization in the directed graph case)?
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Comment on Addicted to Crystal Math by Counting ballots with crystals | Mathematical Gemstones
http://www.mathematicalgemstones.com/gemstones/addicted-to-crystal-math/#comment-1131
Sun, 14 Feb 2021 22:29:57 +0000http://www.mathematicalgemstones.com/?p=2442#comment-1131[…] my graduate Advanced Combinatorics class last semester, I covered the combinatorics of crystal base theory. One of the concepts that came up in this context was ballot sequences, which are motivated by the […]
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Comment on Doing mathematics in a pandemic – Part II: Collaboration by Doing mathematics in a pandemic – Part IV: Talks with OBS | Mathematical Gemstones
http://www.mathematicalgemstones.com/misc/doing-mathematics-in-a-pandemic-part-ii-collaboration/#comment-1113
Fri, 15 Jan 2021 17:42:15 +0000http://www.mathematicalgemstones.com/?p=2615#comment-1113[…] a four-part series on adapting to the pandemic as a mathematician. See Part I – AlCoVE, Part II – Collaboration, and Part III – […]
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Comment on Doing mathematics in a pandemic – Part IV: Talks with OBS by Doing mathematics in a pandemic – Part III: Teaching | Mathematical Gemstones
http://www.mathematicalgemstones.com/misc/doing-mathematics-in-a-pandemic-part-iv-talks-with-obs/#comment-1112
Fri, 15 Jan 2021 17:41:17 +0000http://www.mathematicalgemstones.com/?p=2645#comment-1112[…] ← Previous Next → […]
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Comment on Doing mathematics in a pandemic – Part III: Teaching by Doing mathematics in a pandemic – Part II: Collaboration | Mathematical Gemstones
http://www.mathematicalgemstones.com/misc/doing-mathematics-in-a-pandemic-part-iii-teaching/#comment-1111
Fri, 15 Jan 2021 17:40:23 +0000http://www.mathematicalgemstones.com/?p=2619#comment-1111[…] ← Previous Next → […]
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Comment on Doing mathematics in a pandemic – Part II: Collaboration by Doing mathematics in a pandemic – Part I: AlCoVE | Mathematical Gemstones
http://www.mathematicalgemstones.com/misc/doing-mathematics-in-a-pandemic-part-ii-collaboration/#comment-1110
Fri, 15 Jan 2021 17:38:33 +0000http://www.mathematicalgemstones.com/?p=2615#comment-1110[…] ← Previous Next → […]
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