Absolutely Amazing Physicists (!) discover a new fundamental and amazing mathematical fact: You can get the Eigenvectors of a matrix using ONLY its Eigenvalues https://arxiv.org/pdf/1908.03795.pdf …pic.twitter.com/Mt797mmqDk
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I can do a more technical & separate thread on this to make the theorem statement more precise if you'd like
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), Terence Tao came up with three independent proofs in two hoursApparently an equivalent result has been used/discovered before, but as Terry Tao states it was never published. ... oopspic.twitter.com/i08oAEjMqW
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The quote from Terence Tao is from an interview by
@nattyover, from Quantum Magazine. My apologies to Natalie for not citing this properly.https://www.quantamagazine.org/neutrinos-lead-to-unexpected-discovery-in-basic-math-20191113/ …Show this threadThanks. Twitter will use this to make your timeline better. UndoUndo
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99.99 didn't know this at all. I am sure
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My intuition about how this works is that subspace eigenvalues (green area) get stretched or compressed relative to their contribution in the full space (blue) based on how orthogonal the eigenvalue is for the component in question (red length)pic.twitter.com/A1Lcnkexfz
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c a n c e l l e d jk, still cool to find out about it cause it's the first time I've seen it
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yea i still don't think i should delete the tweet since it seems to not be widely known
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The previous articles referenced by Mieghem were published though.
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Fair enough.. I guess I don’t quite get what he was saying about them ’being in the literate’ then
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The search engine could benefit from this theorem. No doubt...
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How?
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