GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous ...

Abstract: Improving resolution and signal-to-noise ratio (SNR) are common goals in seismic data processing, but the two are generally in mutual opposition. A more realistic key objective is to attain ...

Whether you’re solving geometry problems, handling scientific computations, or processing data arrays, calculating square roots in Python is a fundamental task. Python offers multiple approaches for ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...

Here we make explicit the connection between subscript notation in mathematics and indices in Python. In mathematics: Say we have a collection of objects X. We can refer to individual elements of the ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

ABSTRACT: We establish quantum circuit complexity as a fundamental physical observable and prove that it satisfies an uncertainty relation with energy, analogous to Heisenberg’s canonical uncertainty ...

Mathle was created as part of my Introduction to Python course at Sophia. With 4 years of experience in web design and Python development, I wanted to create something that would make learning math ...

While we have the Python built-in function sum() which sums the elements of a sequence (provided the elements of the sequence are all of numeric type), it’s instructive to see how we can do this in a ...