Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

On a day typically considered one of the happiest on the calendar for Chinese workers – the eve of Chinese New Year, when families gather for dinner in the midst of an extended public holiday – the ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

A research team affiliated with UNIST has made a significant breakthrough in sustainable technology through the development of a method to convert carbon dioxide (CO₂) into methanol—a process that ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

The library sorting problem is used across computer science for organizing far more than just books. A new solution is less than a page-width away from the theoretical ideal. Computer scientists often ...

For the first time, internal TikTok communications have been made public that show a company unconcerned with the harms the app poses for American teenagers. This is despite its own research ...