Look, I'm actually interested in the topic, and this piece actually seems to have some useful information in it, but please please please, stop publishing technical/math-heavy articles on Medium. Putting pictures of equations mid-text combined with occasionally cut-off or accidental multi-line equations <i>kills</i> the readability. I mean, the author already spent the time putting most of the background into a Jupyter notebook, which is much more accessible and readable, even directly in the Github repository [1].<p>I would love to see Medium adjust their formatting to make it possible for something like Tables of Contents, or faithful rendering of notebooks that don't just rely on Github gists, but until then, I think it does a huge disservice to the actual information that technical/symbolic-math-including authors are trying to convey.<p>[1] <a href="https://github.com/WessZumino/Random-Matrix-theory-for-pedestrians" rel="nofollow">https://github.com/WessZumino/Random-Matrix-theory-for-pedes...</a>
The statement about general matrix diagonalisation is not true (not every matrix is similiar to a diagonal matrix, take nilpotent matrix as counter example).<p>For random matrice the author introduces what it means to be rotationally (O) invariant, but is what follow restricted to that? Also it is not too clear why the code is actually doing (creating the same ensemble) as what was talked about before.