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  1. proslijedio/la je Tweet
    prije 13 sati

    The Minnesota Journal of Undergraduate Mathematics has archived several clearly written articles on many areas of mathematics at

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  2. proslijedio/la je Tweet
    prije 15 sati

    Math Insights webpage gives several applets that demonstrate ideas in mathematics.

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  3. proslijedio/la je Tweet
    3. velj

    Hilbert's 5th problem: Is every locally Euclidean group a Lie group? Yes.

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  4. proslijedio/la je Tweet
    3. velj

    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)

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  5. proslijedio/la je Tweet
    3. velj

    The slides of my talk "Locality lower bounds through round elimination" that I gave at IST Austria today:

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  6. proslijedio/la je Tweet
    2. velj
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  7. proslijedio/la je Tweet
    2. velj

    Useful theorem: if f_n: [a,b] → R is a sequence of differentiable functions which converge at one point, and their derivatives df_n/dx converge uniformly on [a,b], then f_n converge uniformly to a differentiable function f and f'_n(x) → f'(x).

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  8. proslijedio/la je Tweet
    2. velj

    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!

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  9. proslijedio/la je Tweet
    2. velj

    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 )

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  10. proslijedio/la je Tweet
    3. velj

    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 = 0.101

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  11. proslijedio/la je Tweet
    1. velj

    Y'all ever just think about R mod Q?

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  12. proslijedio/la je Tweet
    31. sij

    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)

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  13. proslijedio/la je Tweet
    30. sij

    mathematicians doing physics are the best (this isn't sarcasm, I genuinely love stuff like this)

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  14. proslijedio/la je Tweet
    21. sij

    The first lecture of computational algebraic topology is almost ready. Needs more cowbell.

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  15. proslijedio/la je Tweet
    28. sij

    "An Algebraic Geometry Perspective on Topological Data Analysis" (by Paul Breiding, in ):

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  16. proslijedio/la je Tweet

    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.

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  17. proslijedio/la je Tweet
    27. sij

    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):

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  18. proslijedio/la je Tweet
    26. sij

    EGA website is now live at (still very much in testing). Built thanks to tools ()!

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  19. proslijedio/la je Tweet
    27. sij

    This paper explores an interesting idea - studying the network structure (& changes) associated to scientific consensus formation: But somehow it seems to ignore the role that new ideas, facts, and explanations play.

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  20. proslijedio/la je Tweet
    27. sij

    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!

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