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 ...

This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

School of Mathematics, Lanzhou City University, Lanzhou, Gansu, China. The quantum stochastic calculus [4] [6] developed by Hudson and Parthasarathy is essentially a noncommutative extension of ...

Abstract: A new gradient operator was derived in recent studies of topological structures and shape transitions in biomembranes. Because this operator has widespread potential uses in mechanics, ...