For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

Sophie Germain was a brilliant, self-taught mathematician who won one of France's most prestigious prizes, yet she declined ...

The simulation hypothesis—the idea that our universe might be an artificial construct running on some advanced alien computer—has long captured the public imagination. Yet most arguments about it rest ...

Abstract: The article examines statistical properties of cumulative estimates of the bounds of the mathematical expectation of a discrete random variable and point estimates constructed on their basis ...

Using data from the euro area SAFE, a novel survey of firms’ inflation expectations including a randomized controlled trial (RCT), we show that firms’ inflation expectations exhibit significant ...

Ribbit Capital Leads Round at $1.45B Valuation of Math-Based AI Venture; Emerson Collective Joins Existing Backers Including Sequoia & Kleiner Perkins PALO ALTO, Calif.--(BUSINESS WIRE)--Harmonic, the ...

We develop and estimate a parsimonious New-Keynesian small open-economy model that incorporates Diagnostic Expectations (DE)—a behavioral alternative to Rational Expectations (RE). Under DE, agents ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

We like to think we are objective observers of reality—that we see things exactly as they are. But the truth is, we mostly see what we expect to see. The brain is not a passive recorder of experience, ...

They used powerful mathematical theorems—including Gödel's incompleteness theorem—to prove that a complete and consistent description of everything requires what they call "non-algorithmic ...

FRANKFURT, Sept 26 (Reuters) - Euro zone consumers raised some of their inflation expectations in August and saw higher income growth in the year ahead, the European Central Bank's monthly Consumer ...

Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. Saturday, September 27, 2025, is a very special day ...