Subtracting a vector is the same as adding a negative version of the vector (remember that making a vector negative means reversing its direction). \(\left( \begin{array}{l} a\\ b \end{array} \right) ...

Functional data vectors consisting of samples of multivariate data where each component is a random function are encountered increasingly often but have not yet been comprehensively investigated. We ...

In the present paper we introduce eigenfunctions of the curl operator. The expansion of vector fields in terms of these eigenfunctions leads to a decomposition of such fields into three modes, one of ...