First some background. Vector calculus is the branch of mathematics that deals with the differentiation and integration of vector fields.

— Lee et al. recently published the paper “Vector field microscopic imaging of light” showing intriguing maps of vectors on the nanoscale 1. It claims the first experimental mapping of ...

Hans Samelson, Note on Vector Fields in Manifolds, Proceedings of the American Mathematical Society, Vol. 36, No. 1 (Nov., 1972), pp. 272-274 ...

The generation of the Gaussian vector field is performed taking advantage of the Fast Fourier Transform technique for great computational efficiency. The special case of simulation of non-Gaussian ...

The limit functional turns out to be constrained to 𝒜0-free vector fields, where the limit operator 𝒜0 is in general not of constant rank. This result extends work by Bouchitté, Fonseca, and ...