Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

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Feel free to open an issue or contact me via email if you face any issues, questions or feature requests. I love pull requests, so do send them. You might want to check → Development guidelines to ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

Copilot in Excel introduces new finance-focused capabilities that help teams work to their standards, use trusted financial data, and stay in control of every change. GPT‑5.5 Instant is now available ...

High-performance motors need a control mechanism that ensures enhanced smoothness, reliability, and efficiency. One of the most apt examples of such an application is the motor used in ...

Math teachers have stymied students for hundreds of years by sticking goats in strangely shaped fields. Learn why one grazing goat problem has stumped mathematicians for more than a century. If you’ve ...

Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now. Here’s a simple-sounding problem: Imagine a circular fence that encloses one ...

In this paper we present an analogous result of the famous Kalman controllability criterion for first order linear ordinary differential equations with constant coefficients that applies to the case ...

We develop a theoretical approach to quantify the effect of long-term trends on the expected number of extremes in generic time series, using analytical solutions and Monte Carlo simulations. We apply ...