Actual Definitions of Commonly Confused Mathematical Terms
CLEARLY: I don’t want to write down all the in-between steps.
TRIVIAL: If I have to show you how to do this, you’re in the wrong class.
OBVIOUSLY: I hope you weren’t sleeping when we discussed this earlier, because I refuse to repeat it.
RECALL: I shouldn’t have to tell you this, but for those of you who erase your memory tapes after every test, here it is again.
WITHOUT LOSS OF GENERALITY: I’m not about to do all the possible cases, so I’ll do one and let you figure out the rest.
ONE MAY SHOW: One did, his name was Gauss.
IT IS WELL KNOWN: See “Mathematische Zeitschrift”, vol XXXVI, 1892.
CHECK FOR YOURSELF: This is the boring part of the proof, so you can do it on your own time.
SKETCH OF A PROOF: I couldn’t verify the details, so I’ll break it down into parts I couldn’t prove.
FINALLY: Only ten more steps to go.
PROOF OMITTED: Trust me, it’s true.
THIS. I haaate it when my profs say ‘clearly’ :(
YOU HAVE A PHD, OF COURSE THIS IS CLEAR TO YOU.
one of my textbooks actually uses “OBVIOUSLY” a whole lot and it makes me feel dumb when I am like “wait how the EFF is this obvious I don’t get it” :(