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US judge lifts White House restrictions on Associated Press newsthirst.

A US judge has ordered the Trump administration to restore the Associated Press’s access to presidential events after the White House blocked the news agency in a dispute over the term “Gulf of America”. District Judge Trevor McFadden on Tuesday said the administration’s restriction on AP journalists was “contrary to the First Amendment”, which guarantees…

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New Proofs Expand the Limits of What Cannot Be Known newsthirst.

In other words, Hilbert’s 10th problem is undecidable. Mathematicians hoped to follow the same approach to prove the extended, rings-of-integers version of the problem—but they hit a snag. Gumming Up the Works The useful correspondence between Turing machines and Diophantine equations falls apart when the equations are allowed to have non-integer solutions. For instance, consider…

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