Mathematical dating proof


Until now, it was not clear that one could fully determine Earth’s structure using only wave travel times.But that is what Vasy and his team’s proof shows — and the geophysical problem was a key motivation for solving the conjecture.The conjecture flips things around: it says that knowing the lengths of the shortest paths between points on a boundary essentially determines the curvature throughout.(The geometry is therefore said to be ‘rigid’.) Thus, by measuring how fast waves travel inside a space, one could work out the shortest paths, and theoretically, the overall structure.One difficulty is that the theory assumes that there is information at every point.



” asked mathematician András Vasy of Stanford University in California, when he presented the work in a talk at University College London (UCL) last week.Experts are taking the claim seriously, in part because it builds on a technical step from a linear form of the problem that the community had already accepted as a breakthrough For the best commenting experience, please login or register as a user and agree to our Community Guidelines.You will be re-directed back to this page where you will see comments updating in real-time and have the ability to recommend comments to other users.Their assumption, which differed from Michel’s, was that the curved space, or manifold, is structured with concentric layers.

This allowed them to construct a solution in stages.

But it could lead to a better understanding of known features, such as the mantle plumes underneath Iceland or Hawaii, and perhaps, to the discovery of new ones, he says.



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  • Mathematicians deliver formal proof of Kepler Conjecture. profil de paulette60

    paulette60

    Date June 16, 2017; Source Cambridge University Press; Summary A mathematical problem more than 300 years old gets a formal proof with the help of computer. A team led by mathematician Thomas Hales has delivered a formal proof of the Kepler Conjecture, which is the definitive resolution of a problem that had.…
  • Long-awaited mathematics proof could help scan Earth's innards. profil de paulette60

    paulette60

    Long-awaited mathematics proof could help scan Earth's innards. Proposed solution to geometry puzzle allows an object's structure to be determined from limited information. Davide Castelvecchi. 10 February 2017 Updated 14 February 2017.…