Alexander Grothendieck was a titan in his field, making deep connections that fuelled a revolution in mathematics, before giving it all up and disappearing. Jacob Aron explores what his work meant ...

The Collatz conjecture is an unsolved conjecture in mathematics. It is named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, as the Ulam ...

A hidden quantum geometry that distorts electron paths has finally been observed in real materials. This “quantum metric,” once thought purely theoretical, may revolutionize electronics, ...

https://doi.org/10.2307/142653 • https://www.jstor.org/stable/142653 Copy URL Three dimensions of urban systems are investigated in this paper. The first is urban ...

Geometry Dash is a side-scrolling platformer that has a high difficulty ceiling thanks to its challenging gameplay. Pair this with its addictive art style, and you've got what it takes to create a ...

Abstract: Nuclear magnetic resonance (NMR) logging is an effective method for evaluating petrophysical parameters and fluid identification, and it is significantly promising for unconventional ...

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The Super Bowl halftime show has long been one of the most coveted stages in the music world, offering performers unparalleled visibility. Artists from pop icons to rock legends have vied for a ...

Former Nestlé CEO Laurent Freixe was fired after a senior executive said to be his mistress allegedly caught him in a Zurich hotel with a subordinate — and then filed a complaint through the company’s ...

- L: Longevity of civilizations Why It Matters: Guides scientific inquiry into extraterrestrial life—driving research on exoplanets, astrobiology, and SETI efforts ...