资讯

Mathematicians Wrote a Proof for a 100-Year-Old Problem—and May Have Just Changed Geometry
The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...
New Proofs Expand the Limits of What Cannot Be Known
By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability.
Quanta Magazine9 天
A New Proof Smooths Out the Math of Melting
A powerful mathematical technique is used to model melting ice and other phenomena. But it has long been imperiled by certain ...
IFLScience on MSN23 天
"Once In A Century" Math Proof Threads The Needle On A Decades-Old Conjecture
If pure math can teach ... evading a proof for more than a decade – until, in 2022, Zahl and Wang unexpectedly showed the opposite. A sticky Kakeya set in three dimensions, they proved, must ...
Quanta Magazine27 天
‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture
Their proof showed that every set in that particular class had a dimension of three ... It’s also a dimensional leap for this entire area of math that’s been somewhat stuck in 2D. “People understood ...