Learn how to numerically simulate LR and LRC circuits in Python by solving the circuit differential equations step by step. Explore current and voltage vs. time, compare numerical results to analytic ...

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

Abstract: Problem-solving is essential in various fields, including business, technology, and everyday life. It often involves a combination of experience, knowledge, intuition, and rational analysis.

Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, “A scalable framework for learning the geometry-dependent solution ...

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 ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Create a Python script that prompts the user to input values for ( a ), ( b ), and ( c ). Implement the quadratic formula to compute the roots. Handle cases where: The equation has two real roots. The ...

My childhood fascination with the night sky led me to study astronomy and physics at university. By my second year, I was operating the telescope atop the physics building, tracking celestial objects ...