AI company Anthropic has created a formalised proof of Fermat’s last theorem. It took just 11 days for a group of AI agents to complete the task, confirming that the human-found proof proposed in the ...

This content is for informational purposes and is no longer updated. Split sampling is a technique where multiple samples are collected from the same location at the same time and then sent to ...

Dr. Weatherby is the director of the Digital Theory Lab at New York University. Dr. Recht is a professor of electrical engineering and computer sciences at the University of California, Berkeley. See ...

Air monitoring and air sampling are two different methods of looking at air quality. Air monitoring uses electronic devices to provide real-time readings of contaminants in the air. Air sampling ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

In the fall of 1915, the foundations of physics began to crack. Einstein’s new theory of gravity seemed to imply that it should be possible to create and destroy energy, a result that threatened to ...

It turns out a monkey – given an infinite amount of time and a typewriter – wouldn't be able to write Shakespeare before the universe ends, according to a new study. HARRY SHEARER: (As Charles ...

Calcea Johnson (right), currently studying environmental engineering at Louisiana State University, published the new study with her high school classmate, Ne'Kiya Jackson (left), now a student in ...

In 2022, U.S. high school students Calcea Johnson and Ne'Kiya Jackson astonished teachers when they discovered a new way to prove Pythagoras' theorem using trigonometry after entering a competition at ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at ...

The Earth and moon viewed by Chang'e 5 from Sun-Earth Lagrange point 1 in April 2021. Credit: CNSA/CLEP HELSINKI — The orbiter for China’s Chang’e-6 lunar far side sample return mission is now at the ...