OpenAI makes big splash with AI finding math problem breakthrough. Real lesson is to use AI to find counterexamples. An AI ...

On May 20, OpenAI said an internal reasoning model had produced a counterexample to Paul Erdős’s 1946 unit distance ...

OpenAI announced this week that one of its general-purpose reasoning models made a breakthrough that has grabbed the ...

A general-purpose reasoning model, not a math-trained system, produced a new family of point configurations that broke Paul ...

Julie Young is an experienced financial writer and editor. She specializes in financial analysis in capital planning and investment management. Eric's career includes extensive work in both public and ...

Artificial intelligence built by OpenAI has cracked a decades-old conjecture by Paul Erdős, which mathematicians have hailed ...

Abstract: Learning-based methods have gained popularity for training candidate Control Barrier Functions (CBFs) to satisfy the CBF conditions on a finite set of sampled states. However, since the CBF ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Mathematics and computing is the study and analysis of abstract concepts, such as numbers and patterns. Mathematics is the language of choice for scientifically describing and modelling the universe ...

Applied mathematics is the application of mathematical techniques to describe real-world systems and solve technologically relevant problems. This can include the mechanics of a moving body, the ...

Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive integers, which are needed for ...

In 1837, two law professors at the University of Paris disagreed so strongly on the correct use of the semicolon that they decided the only way to settle the matter was through a duel! You will need ...