Joel Ben Izzy is still as great as he ever was. I guess one never gets tired of his stories even though they’re the same ones he told in 1990 (and probably long before then also). I need to find an excuse to get his book now, but I just spent $170 on textbooks for next quarter on Monday, so I need to stop spending money.
I figured out that I can solve a lot of analysis problems using “No Square is Negative” (which is incidentally the title of section 2.1 in Mathematical Olympiad Challenges) instead of “properties of orthonormal systems.” Now I feel clever. I’ll probably feel less clever if the grader writes that my proofs are nonsense, but until then I would prefer to remain clever. Codimension problems are still annoying though because I can’t use “No Square is Negative.”