Appropriate sampling effort is crucial for ecologists. Procrustes analysis can be used to tackle this question by quantifying the match between subsamples and the complete dataset. We used stream macroinvertebrates to show ...

Parseval frames have particularly useful properties, and in some cases, they can be used to reconstruct signals which were analyzed by a non-Parseval frame. In this paper, we completely describe the degree to which such ...

Given two positive definite matrices A and B, a well known result by Gelfand, Naimark and Lidskii establishes a relationship between the eigenvalues of A and B and those of AB by means of majorization inequalities. In this ...