These are my go-to libraries for Python data crunching.

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

Every Python developer knows some or all of these libraries, because they’re stable, reliable, and excellent at what they do.

The T-shirt is yellow, 100% cotton and meant for "everyday wear." Across the front, it declares in italic script, "I'm too ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics.

Student focused on web development and programming. I write about debugging, coding challenges, and improving skills. Your function looks right. The logic checks out. You've traced it three times on ...

In this paper, a solver is developed to obtain accurate analytical solutions for fractional partial differential equations based on artificial neural networks. By leveraging the powerful function ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

If the UNIQUE function isn’t working in Microsoft Excel on your Windows 11/10 PC, read this post to learn how to fix the issue. The UNIQUE function extracts a list of distinct (non-duplicate) values ...