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johannessimon81

Is It Foolish to Model Nature's Complexity With Equations? - 1 views

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    They use a technique they call "Empirical Dynamic Modeling" to find correlations between different variables of chaotic systems. Might be interesting for things like climate modeling and similar chaotic systems. The idea seems pretty straight forward but I never encountered it before - so I'm no sure if this is really a new development (curious if anybody else knows). If you are short on time just watch the video embedded in the article.
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    Just by reading the page and the related material I didn't really get much, but I think it could be worth investing some time in reading more about it. But I'm interested in this, so I'll try to dig deeper!
Paul N

New derivation of pi links quantum physics and pure math - 5 views

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    In 1655 the English mathematician John Wallis published a book in which he derived a formula for pi as the product of an infinite series of ratios. Now researchers from the University of Rochester, in a surprise discovery, have found the same formula in quantum mechanical calculations of the energy levels of a hydrogen atom.
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    This is insanity, Max. Or maybe it's genius.
jaihobah

Computer Scientists Close In on Unique Games Conjecture Proof - 0 views

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    "A paper posted online in January takes theoretical computer scientists halfway toward proving one of the biggest conjectures in their field. The new study, when combined with three other recent papers, offers the first tangible progress toward proving the Unique Games Conjecture since it was proposed in 2002 by Subhash Khot, a computer scientist now at New York University. Over the past decade and a half, the conjecture - which asks whether you can efficiently color networks in a certain way - has inspired discoveries in topics as diverse as the geometry of foams and the stability of election systems. And if the conjecture can be proved, its implications will reach far beyond network-coloring: It will establish what is the best algorithm for every problem in which you're trying to satisfy as many as possible of a set of constraints - the rules in a sudoku puzzle, or the seating preferences of a collection of wedding guests, for instance."
pablo_gomez

paperswithcode.com added Astronomy (and other fields) - 0 views

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    Also Physics, Math, Statistics, CS , see https://portal.paperswithcode.com/
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