Abstract: The number of linear invariants under SO(3) as well as SO(2) of a Cartesian tensor of an arbitrary rank is studied. A linear form is defined in terms of elements of a tensor. It is ...

(1) A NEW edition of this really useful book is to be welcomed. The author has returned to Heaviside's notation of p for the operator, a distinct improvement. The chapter on Bessel functions has been ...

This project visualizes the transformation of vectors in polar coordinates, utilizing a metric tensor to transform vectors from the Cartesian basis $(e_x, e_y)$ to the polar basis $(e_r, e_\theta)$.

ABSTRACT: Tensor flight dynamics solves flight dynamics problems using Cartesian tensors, which are invariant under coordinate transformations, rather than Gibbs’ vectors, which change under ...