Meta's work made headlines and raised a possibility once considered pure fantasy: that AI could soon outperform the world's best mathematicians by cracking math's marquee "unsolvable" problems en ...

This video shows how to solve algebra problems using geometry, offering a visual approach that makes abstract equations easier to understand. By translating algebra into shapes and spatial ...

Cognitive restructuring is a technique that helps people change the way they think. It is part of numerous types of psychotherapy, including cognitive behavioral therapy (CBT). Cognitive restructuring ...

Abstract: Accurate measurement of contact geometry is essential for robotic perception and manipulation, enabling object recognition, pose estimation, and precise in-hand control. Photometric ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

In his decades-long career in tech journalism, Dennis has written about nearly every type of hardware and software. He was a founding editor of Ziff Davis’ Computer Select in the 1990s, senior ...

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. By wiggling a needle around while spinning it, you can minimize the amount of space it moves through, ...

Left, a 3-flower. Right, a 5-flower. Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general ...

One of the pitches for investing heavily in AI—especially resource-intensive versions such as large language models (LLMs)—is the argument that these powerful technologies have the potential to help ...