This Python script demonstrates how to compute key vector calculus operations—gradient, divergence, curl, and Laplacian—using symbolic computation in the SymPy library. These operations are widely ...
TITLE: A Simple Proof That the Curl Defined as Circulation Density Is a Vector-Valued Function, and an Alternative Approach to Proving Stoke’s Theorem ...
Abstract: This study investigates the challenges faced by second-year undergraduate engineering students in understanding Stokes’ theorem in vector calculus, focusing on the misconceptions found in ...
The original (unprimed) system must be Cartesian. The primed system must have a diagonal metric (ie, the primed basis must be orthogonal). The curl() operator is only calculated for 3D-to-3D ...
ABSTRACT: In this paper, we present a simulation program that allows for the concurrent propagation of action potentials in axons coupled via currents, as well as, for the first time, the computation ...