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Rick Owens Offers Up Men's Slouch Boots for Spring 2018
The designer's spring '18 men's collection, shown at Paris Fashion Week today, played up his signature neo-gothic aesthetic — but with a surprisingly
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Drake debuts new song 'Signs' at Louis Vuitton's Paris Fashion Week Show
Drake brought his musical style to the Paris Fashion Week runway. The rapper debuted his new song Signs on Thursday during the Louis Vuitton
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An international team of mathematicians led by University of Pittsburgh Professor Thomas Hales has delivered a formal proof of the Kepler conjecture, a famous problem in discrete geometry. The team’s paper is published in the journal Forum of Mathematics, Pi.

The essay, ‘On the six-cornered snowflake,’ which was written by the German astronomer Johannes Kepler in 1611, contains the statement of what is now known as the Kepler conjecture:
‘no packing of congruent balls in Euclidean three-space has density greater than that of the face-centered cubic packing.&rsq
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This conjecture is the oldest problem in discrete geometry.

The answer to the Kepler conjecture, while not difficult to guess, had been remarkably difficult to prove.

Prof. Hales and his student Sam Ferguson originally announced a proof in 1998, but the solution was so long and complicated that a team of a dozen referees spent years working on checking it before giving up.

“The verdict of the referees was that the proof seemed to work, but they just did not have the time or energy to verify everything comprehensively,” said Henry Cohn, editor of Forum of Mathematics, Pi, and principal researcher at Microsoft Research New England in Cambridge, Massachusetts.

“The proof was published in 2005, and no irreparable flaws were ever identified, but it was an unsatisfactory situation that the proof was seemingly beyond the ability of the mathematics community to check thoroughly.”

“To address this situation and establish certainty, Prof. Hales turned to computers, using techniques of formal verification,” Cohn explained.
“He and a team of collaborators wrote out the entire proof in extraordinary detail using strict formal logic, which a computer program then checked with perfect rigor.”
The paper not only settles a centuries-old mathematical problem, but is also a major advance in computer verification of complex mathematical proofs.

 

Article adapted from Sci News.



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The Flack Files: How to Date in the Hamptons
Our fearless flack is a seasoned observer of East End dating. As the summer scene heats up, she lays down the law on how things should—and
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How Cordell Broadus Got His Dad Snoop Dogg Into a Pair of 'Slim Straight' Jeans That Fit
I told him all he had to do for the fashion show is to come. Come and DJ. He's an entertainer. I don't have to tell him anything. He trusted me creatively,
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Curso Guia Prático para PASSAR em Concurso Público
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The Fashion-Girl Way to Style Preppy Clothing
Rihanna staged her Paris Fashion Week presentation at the National Library of France—an apropos backdrop for the schoolgirl skirts, teeny knit polos
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Nike Takes Over Paris for Fashion Week
With Paris Fashion Week kicking off, the city is heaving with presentations, shows and one-off pop-up shops. This season, Nike is releasing an all-star
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