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Can't Think of a Breaking Bad Pun For the Title: Let's Do Some Math!

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ankhtahr:
Thank you, I'm pretty sure I passed. I didn't have much trouble with the pumping lemma task.

In fact I'm much more sure I passed this exam than the technical exam I wrote on Wednesday, on which I spent a lot more time.

LTK:
I think the Venn diagram of irrational nonsense has appeared on the forum before but now there's an expanded version. You shouldn't waste your time reading it, just enjoy the beauty of it.



That's five categories and thirty-one areas between them! Fun fact: the number of areas in a Venn diagram of x categories is (2^x)-1, but you can also calculate it by taking the number of areas of a Venn diagram that's one smaller, doubling it, and adding one. This makes sense because every new category has to subdivide each area in two, as well as adding one area of its own that overlaps with no other. Makes me wonder how you could draw one that uses six. It's certainly possible if you abandon all symmetry but it'd be nice to do it with bilateral symmetry at least.

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