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‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture
The deceptively simple Kakeya conjecture has bedeviled mathematicians for 50 years. A new proof of the conjecture in three dimensions illuminates a whole crop of related problems.
With Fifth Busy Beaver, Researchers Approach Computation’s Limits
After decades of uncertainty, a motley team of programmers has proved precisely how complicated simple computer programs can get.