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Youwen Wu 2025-01-18 15:18:01 -08:00
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@ -25,7 +25,7 @@ competition mathematics or proofs. If you are at UCSB, I highly recommend you
take this course as soon as possible to unlock the rest of the higher take this course as soon as possible to unlock the rest of the higher
mathematics offerings here (which are much more interesting). mathematics offerings here (which are much more interesting).
= Course Logistics = Course logistics
Everything in this section is information only valid for the Winter 2025 quarter with Professor Porter. Everything in this section is information only valid for the Winter 2025 quarter with Professor Porter.
@ -457,7 +457,7 @@ $ exists x in U, P(x) $
We want $1/n < 0.02$, so the idea is to play around with this statement. Taking reciprocals, We want $1/n < 0.02$, so the idea is to play around with this statement. Taking reciprocals,
$ n > 50 $ $ n > 50 $
#proof[ #proof[
Let $N = 50$. Then $n in NN$ and $n > N = 50$, Let $N = 50$. Then $forall n in NN$ and $n > N$,
$ 1 / n < 1 / 50 = 0.02 $ $ 1 / n < 1 / 50 = 0.02 $
] ]
] ]