In math, you have a trade-off between entropy (in the information-theoretic sense), rigor, and size of the document (e.g. proof). Entropy loses, so you get some

In math, you have a trade-off between entropy (in the information-theoretic sense), rigor, and size of the document (e.g. proof). Entropy loses, so you get something extremely terse. This is one of the hardest things about reading math. It's not the notation. You can pick that up pretty quickly. It's that every character counts: math is high in entropy. We're not used to that. In fcat, if you pmterue the inenr ltertes of tyicpal wtterin psore at rnoadm, msot pleope can read it at csloe to nmroal seepd. However, in math, one has to pay attention to every jot, because y-hat (ŷ) means something different from y.