Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

Different scientific fields have their own ways of evaluating validity. Engineers test new designs against safety and performance standards. Medical researchers use controlled experiments to verify ...

The new nuclear age differs from previous eras in an important way: The current era is shaped by information abundance. But that abundance comes with a paradox: With more data there is also an ...

Technological innovations can seem relentless. In computing, some have proclaimed that "a year in machine learning is a ...

New research from the University of Waterloo is making inroads on one of the biggest problems in theoretical computer science ...

Helping students to develop math fluency takes more than just flash cards. It requires teaching them how to think about ...

For over a decade, mathematicians have failed to agree whether a 500-page proof is actually correct. Now, translating the ...

The dream of creating game-changing quantum computers—supermachines that encode information in single atoms rather than ...

Years ago, no math education was complete without understanding how to compute a square root. Today, you are probably just ...

Biologists have spent generations trying to explain what controls the speed of life. You may already be familiar with the classic idea that growth rises with more nutrients and then steadies. The ...