In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Abstract: Deep neural networks for graphs (DNNGs) represent an emerging field that studies how the deep learning method can be generalized to graph-structured data. Since graphs are a powerful and ...

While the creation of this new entity marks a big step toward avoiding a U.S. ban, as well as easing trade and tech-related tensions between Washington and Beijing, there is still uncertainty ...

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

The amino acid sequence of the transmembrane protein and its corresponding positions on the cell membrane are transformed into a hidden Markov process. After evaluating the parameters, the Viterbi ...

Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price. Unhappy with their meager profits, they meet one night in a ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

C++ console app by Nathanlie Ortega using an adjacency list to create and analyze graphs. Features walk validation (open/closed, trail, path, cycle, circuit) and a user-friendly interface.

There’s a good chance you owe your existence to the Haber-Bosch process. This industrial chemical reaction between hydrogen and nitrogen produces ammonia, the key ingredient to synthetic fertilizers ...

A plasma-electrochemical reactor developed by the team of Chris Li can convert nitrogren in the air into ammonia without a carbon footprint. Credit: Douglas Levere/University at Buffalo Producing ...