In this video, we explain the capstan equation and how friction affects a rope or string wrapped around a surface. You’ll learn where the equation comes from, what each term means, and how it’s ...

“I was curious to establish a baseline for when LLMs are effectively able to solve open math problems compared to where they ...

Discover how Average Propensity to Save (APS) measures the percentage of income saved. Learn the formula for APS and factors ...

A new mathematical equation describes the distribution of different fragment sizes when an object breaks. Remarkably, the distribution is the same for everything from bubbles to spaghetti. When you ...

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 ...

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...

In this study, we present the parametric equations for the trajectory of a P-point on the periphery of a wheel which rolls without slipping down an inclined plane and a cycloid-shaped ramp. The ...

One of my first vivid memories of math is of timed tests. I still remember how visceral my panic felt–sweaty palms, heart pounding–as I scrambled to recall facts before the clock ran out. You might ...

First, we install the PyTorch and matplotlib libraries using pip, ensuring you have the necessary tools for building neural networks and visualizing the results in your Google Colab environment. Copy ...

Math Notes is introduced in the latest version of iOS and iPadOS 18. It automatically calculates math equations and displays the results as you write. You can use it to solve various math problems and ...