#FacebookAIResearch #arXiv Deep Learning for Symbolic Mathematics arxiv.org/abs/1912.01412 "Results that outperform commercial Computer Algebra Systems such as Matlab or Mathematica."
#FacebookAIResearch Learning advanced mathematical computations from examples arxiv.org/abs/2006.06462 "Neural networks nar perfect prediction of qualitative characteristics, and good approximations of numerical features of differential systems."
#QuantaMagazine Symbolic Mathematics Finally Yields to Neural Networks. After translating some of math’s complicated equations, researchers have created an AI system that they hope will answer even bigger questions. quantamagazine.org/symbolic-mathe… by @StephenOrnes
#MITtechnologyReview Facebook has a neural network that can do advanced math. It calculates integrals and solves differential equations. technologyreview.com/2019/12/17/131…
#GitHub #FacebookResearch Deep Learning for Symbolic Mathematics: PyTorch original implementation of Deep Learning for Symbolic Mathematics (ICLR 2020). github.com/facebookresear…
#GitHub #FacebookResearch Maths from examples - Learning advanced mathematical computations from examples. Source code and data sets for the paper "Learning advanced mathematical computations from examples" github.com/facebookresear…

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27 Jul
#arXiv Emergent Cosmology from Matrix Theory arxiv.org/abs/2107.11512 Matrix theory is a proposed non-perturbative definition of superstring theory in which space is emergent. It leads to a non-singular cosmology solving the horizon problem of Standard Big Bang. cc @GastonGiribet
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"There are other approaches to obtaining space-time and cosmology from matrix theory. The new work is different in that space-time is obtained directly from the matrix theory."
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27 Jul
#arXiv Three Impossible Theories, by Leonard Susskind arxiv.org/abs/2107.11688 "Black hole central dogma: as seen from the outside, a black hole can be described in terms of a quantum system with Area/(4 G) degrees of freedom, which evolves unitarily under time evolution."
"Analogously, cosmological central dogma: as seen from a causal patch a cosmological space-time can be described in terms of an isolated quantum system with Area/(4 G) degrees of freedom, which evolves unitarily under time evolution."
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27 Jul
Kepler’s Battle With Mars: "Brahe’s data, obtained with the naked eye, were indeed accurate: to 1/30th the angular size of the Moon. Tycho Brahe’s data were so precise, it quickly became clear that neither the Ptolemaic nor the Copernican systems fit the data well."
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26 Jul
#NatureNews NASA investigates renaming James Webb telescope after anti-LGBT+ claims nature.com/articles/d4158… cc @pcoffeebreak James Webb, head of NASA from 1961 to 1968, was involved in persecuting gay and lesbian people during his career in government.
"Four astronomers, Lucianne Walkowicz, Chanda Prescod-Weinstein, Brian Nord and Sarah Tuttle, lead the renaming petition. They say that Webb passed a set of memos discussing “the problem of homosexuals and sex perverts” to a senator who was leading the persecution."
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24 Apr
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16 Apr
#arXiv Stellarators as a Fast Path to Fusion arxiv.org/abs/2104.04621 Seventeen years after the beginning of the fusion program, sentiments changed in 1968 when tokamaks were shown to have confinement properties far beyond those of any other fusion concept.
Nonetheless, the absence of robust stability was concerning since that had been known from early tokamak experiments. An invention is required for a tokamak to have sufficient passive stability for a power plant.
Is the stellarator the required invention that makes the least change in the fundamental concept? Stellarators are intrinsically strongly non-axisymmetric, which means careful design is required for adequate confinement; the power plant construction requires roughly five years.
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