Cartesian tensors are mathematical objects used to describe physical quantities that have magnitude and direction in three-dimensional space, and transforms according to a specific set of rules under ...

In physics and engineering, Cartesian tensors play an important role, often in a "stimulus-response" way, when some quantities in a system of interest have a "directional dependence". For example, the ...

In this paper, we propose a method for importing tensor index notation, including Einstein summation notation, into functional programming. This method involves introducing two types of parameters, ...

Abstract: The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates ...

In order to write the field equations for elastic waves, Cartesian tensor notation is introduced, as well as the concepts of stress and strain, which are proportional to each other for linear elastic ...