We are always amused that we can run emulations or virtual copies of yesterday’s computers on our modern computers. In fact, there is so much power at your command now that you can run, say, ...

OpenAI's GPT-5.2 Pro has solved multiple decades-old Erdős math problems, but Fields Medalist Terence Tao says the wins ...

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

Learn how Log Softmax works and how to implement it in Python with this beginner-friendly guide. Understand the concept, see practical examples, and apply it to your deep learning projects.

In a recent write-up, [David Delony] explains how he built a Wolfram Mathematica-like engine with Python. Core to the system is SymPy for symbolic math support. [David] said being able to work with ...

Abstract: With the rapid development of technology, computer technology plays an increasingly vital role across various fields, including education. Python, a high-level programming language, has a ...

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 ...

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 ...