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I decided that the world needed to see the Maclaurin series thrashing like a screen door in a hurricane.

Wikipedia has this animation of the Maclaurin series converging for e^x, but it emphasizes the right-hand side, where the behavior is much less bizarre, and only hints at the left-hand side where the partial sums flap back and forth like a screen door in a hurricane.

New math post on my blog: Technical devices for reducing the number of axioms

It's late. I misread a notification as “favourited your cactus”.

I was momentarily excited to discover that János Pach has a blog! But then I saw that it has only one nontrivial post, from 2010.

In which I complain about mathematical jargon and identify some candidates for the worst example.

…Professor Snorfus, the world's foremost expert in the theory of smooth prime numbers…

The set of real and pure imaginary numbers is analogous to the set of even and odd functions $\Bbb R→ \Bbb R$.

I spent some time today thinking about how long it would take me to produce a table of sines and cosines by hand. Of course it depends on the density and the precision of the table, but my conclusion was that it wouldn't take excessively long. I'd start by calculating sin 1° using the Maclaurin series, then use angle addition formulas to work up to 2°, 4°, , etc, to 90°.

Not only 17³ = 4193, but also 170^{31} = 1392889173388510144614180174894677204330000000000000000000000000000000 AND 170^{33} = 40254497110927943179349807054456171205137000000000000000000000000000000000 😀

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A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.

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