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The Minnesota Journal of Undergraduate Mathematics has archived several clearly written articles on many areas of mathematics at https://bit.ly/2RWS0lx
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Math Insights webpage gives several applets that demonstrate ideas in mathematics. https://mathinsight.org/
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Hilbert's 5th problem: Is every locally Euclidean group a Lie group? Yes.
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Max Planck was the first established physicist to embrace Einstein's work on special relativity. He worked out some important consequences! Later, in 1914, Planck helped Einstein get a research position in Berlin. (1/n)pic.twitter.com/yjtC7M6YJf
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The slides of my talk "Locality lower bounds through round elimination" that I gave at IST Austria today: https://users.ics.aalto.fi/suomela/doc/ist-austria-2020-02-03.pdf …pic.twitter.com/LqZxaw1GvF
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Yesterday I gave 4-hour master class at Caltech on quantum integrable systems. It was a tribute to Richard Feynman whose office was next door. In fact, on his last blackboard it was written “TO LEARN: Bethe Ansatz Problems” which was the subject I was talking about!
#loveandmathpic.twitter.com/F05kCuHNmD
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It's well known that a point on a circle rolling on a straight line traces a cycloid. But what if the circle rolls on a cycloid? (made with
@geogebra)#totallyuselesspic.twitter.com/3buMgDs5NnPrikaži ovu nitHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
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A question for people who know about Bell inequalities: in the 1982 Aspect paper they present them in this form (a version of the CHSH inequality), with an experimental value (& violation) of S = 0.101pic.twitter.com/MR1CcBfO2q
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Y'all ever just think about R mod Q?
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Condensed matter physics is so cool! Bounce 4 laser beams off mirrors to make an interference pattern with 8-fold symmetry. Put a Bose-Einstein condensate of potassium atoms into this "optical lattice" and you get a SUPERFLUID CRYSTAL! But that's not all... (1/n)pic.twitter.com/ba9AYC0Hxa
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mathematicians doing physics are the best (this isn't sarcasm, I genuinely love stuff like this)pic.twitter.com/A59etBaPNo
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The first lecture of computational algebraic topology is almost ready. Needs more cowbell.pic.twitter.com/Xrbt7vfd7I
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"An Algebraic Geometry Perspective on Topological Data Analysis" (by Paul Breiding, in
@TheSIAMNews):https://sinews.siam.org/Details-Page/an-algebraic-geometry-perspective-on-topological-data-analysis …Hvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
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It does not have to be that way. e.g., Simmons, "Differential Equations with Applications and Historical Notes", shows how rich and inspiring a sophomore ODE course can be. And given what you say about calculus and linear algebra, you might like Golubitsky and Dellnitz's book.https://twitter.com/koszuldude/status/1221962669273600000 …
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The Mandelbrot set approximated by the 4096 first Fourier coefficients of its boundary (it would be nice to superimpose over a classical view but I don't know how to get Sage to align its coordinates exactly):pic.twitter.com/EOE5UlmBAN
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EGA website is now live at https://ega.fppf.site (still very much in testing). Built thanks to
@stacks_project tools (https://gerby-project.github.io/ )!Prikaži ovu nitHvala. Twitter će to iskoristiti za poboljšanje vaše vremenske crte. PoništiPoništi -
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This paper explores an interesting idea - studying the network structure (& changes) associated to scientific consensus formation: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3163460/ … But somehow it seems to ignore the role that new ideas, facts, and explanations play.pic.twitter.com/bNJpRY0oP7
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You can turn a bundle into a presheaf, but you get a very nice kind of presheaf called a sheaf. You can turn a presheaf into a bundle, but you get a very nice kind of bundle called an etale space. Sheaves and etale spaces are secretly the same!https://johncarlosbaez.wordpress.com/2020/01/07/topos-theory-part-2/ …
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