Ms Fleming, This blog post (of mine) may be of interest and hopefully of help: https://667-per-cm.net/2018/11/20/the-johnson-lindenstrauss-lemma-and-the-paradoxical-power-of-random-linear-operators-part-1/ Cheers! -- Jan Galkowski (o?) Westwood, MA (pronouns: *he, him, his*) *Keep your energy local*. --John Farrell, *ILSR[1]* Links: 1. http://ilsr.org [[alternative HTML version deleted]]