Federal testing data released Wednesday shows that students are struggling, and experts said that means they may not be able ...

AC units are extremely popular in the U.S. In 2020, the U.S. Energy Information Administration's 2020 Residential Energy Consumption Survey found that 89% of homes across the nation use air ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

“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 ...

Type to search articles, cases, and authors. Press ↵ to view all results. “Common sense” reasoning is becoming more common at the Supreme Court. The justices have explicitly relied on common sense to ...

This voice experience is generated by AI. Learn more. This voice experience is generated by AI. Learn more. News about AI math problem raises realization that finding counterexamples can be extremely ...

Is America heading toward a national debt crisis? As an economic adviser to President Biden and an economist active in mainly Democratic policy circles since the late 1980s, I’ve spent most of my ...

A chatbot solution Recently, the company behind ChatGPT, OpenAI, announced that its internal AI model had made progress on a closely related version of this problem, which suggests that Erdős may have ...

OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Goldbach’s conjecture sounds almost too simple: every even number greater than two should be the sum of two primes. Mathematicians have chased it for nearly 300 years, a publisher once offered $1 ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...