Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Richard Feynman described a decision-making problem and its solution in handwritten notes, but the meaning of the notes has been a mystery for almost 50 y. We decipher the problem and solution from ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

AI can rifle through enormous libraries of information to connect far-flung ideas—conceptual leaps remain a purely human skill. The planar unit distance problem, or Erdős problem 90, has intrigued ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Jake Johnson also stars in the David Gordon Green-directed series, following a divorced mom who gets tangled up in a web of murder, blackmail and deceit after witnessing a violent crime. By Angie Han ...

Abstract: Maximum jump height evaluation is crucial for transmission line deicing and typically involves time-consuming processes such as dynamic numerical simulations and model experiments. Previous ...

Watching the Suns this past season, there were noticeable holes on the roster, especially in their matchup against the Thunder. The priority this offseason, as with any NBA team, should be to fill ...

Integrated terahertz (THz) communication-sensing-computing systems require reconfigurable platforms that can simultaneously support logic operations and signal modulation. Here, we propose a subarray ...

The war in Iran has disrupted supplies of diesel, used to power trucks and heavy equipment, much more than gasoline, which is primarily used in passenger cars. By Emmett Lindner The price of diesel ...

The U.S. blockade of Iran continues amid an uncertain round of peace negotiations, while Congress wrestles with the ongoing Department of Homeland Security shutdown and the looming lapse of a key ...