Learn how to derive the capacitance of a spherical capacitor step by step! ⚡🔵 This tutorial explains the underlying physics, applies Gauss’s Law, and shows the mathematical derivation clearly and ...
Abstract: Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems. The goal of this article is to provide a comprehensive tutorial of three major ...
S2FFT is a Python package for computing Fourier transforms on the sphere and rotation group (Price & McEwen 2024) using JAX or PyTorch. It leverages autodiff to provide differentiable transforms, ...
The canonical spherical harmonics $Y_{lm}$ subject to a rotation in $\mathbb{R}^{3}$ will always mix among each other. As such, we can represent the act of rotating ...