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How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

Do the math on the squeeze. Say you have two 35% max players eating up 70% of your cap. That leaves 30% for everyone else. Under a $228M cap, that 30% is $68.4M to build out your depth. But if the ...

But the evidence indicates people should focus on diet quality, not just calorie quantity. Avoid ultra-processed foods, ...

Robert Reich, an emeritus professor at the University of California, Berkeley, and a former U.S. labor secretary, makes ...

Math classrooms shifted over time to the discovery model. Not suddenly, and not without good intentions. There was a ...

New York City exemplifies how soaring spending on Schools can lead to mass failure, despite overwhelming taxpayer investments ...

The Yankees have plenty of that when healthy. The problem is that nobody is putting the ball in play. Strikeouts have piled up. Rallies have died on the vine. New York ranks 25th in the majors in team ...

Our return-on-investment research describes tangible outcomes in terms of numbers, such as jobs created, acres redeveloped, ...

The housing market currently presents significant challenges to renters seeking affordable accommodations, with available ...

Thomas Mulligan examines how cutting-edge artificial intelligence has finally cracked a trio of legendary mathematical ...