This one’s diehard. Every two norms on a finite dimensional vector space are equivalent: that is to say, each one can be rescaled by a constant to bound the other from both above and below. A consequence of this is that all norms induce the same topology. In infinite dimension, this is not true anymore. But so far I have only seen examples of pair of norms where one beats the other on the whole space....
Studying the Fourier series decomposition of some periodic signals, I found some had, in addition of having only sine waves without cosine contribution, due to being odd, only sine waves of odd frequences. Is there any kind of physical significance to this property?
To explain this cryptic drawing this tweet by John Baez might help. So is this all Representation Theory in Physics is about?
I use vim with vim-snippets and this is my tex.snippets file with all the shortcuts.
Sono abbastanza condensati quindi non mi aspetto che siano utili a chiunque. Metodi I, esercizi degli appunti di Guarneri: latex/pdf Oscillazioni e Onde di Prati: latex/pdf Metodi II di Cacciatori: latex/pdf Topics in Advanced Geometry B di Bazzoni (2022): latex/pdf Relatività Speciale di Haard: latex/pdf