Quote is from the latest BBC More or Less episode on Radio 4 (though a similar claim was made on the World Service edition of the programme). But isn't self-similarity about similarity at different scales, i.e. parts resembling the whole? Am I wrong?
Lessons from my #proofinatoot writing:
1. The mastodon interface has no markdown preview; can admins add one? For example, here's one: https://kerzol.github.io/markdown-mathjax/editor.html
2. Greek letters are *expensive*; latex \(\alpha\) is 6 characters, plus 4 for math mode. Unicode α is only 1.
3. All those extra spaces in my easy-to-read latex source add up!
\( (u(x)v(x))'=\lim_{\delta x\to 0}\frac{u(x+\delta x)v(x+\delta x)-u(x)v(x)}{\delta x}. \)
Add and subtract \( u(x+\delta x)v(x) \) in the numerator. Then
\( (u(x)v(x))'=\lim_{\delta x\to 0}\frac{u(x+\delta x)v(x+\delta x)-u(x+\delta x)v(x)+u(x+\delta x)v(x)-u(x)v(x)}{\delta x} \)
\( =\lim_{\delta x\to 0}u(x+\delta x)\lim_{\delta x\to 0}\frac{v(x+\delta x)-v(x)}{\delta x}+\lim_{\delta x\to 0}\frac{u(x+\delta x)-u(x)}{\delta x}\lim_{\delta x\to 0}v(x) \)
\( =u(x)v'(x)+u'(x)v(x). \) #proofinatoot
@peterrowlett Roz Chast is great; alas the only link I know to the cartoon is to a store:
I enjoyed "I learned some math on the streets" https://mathstodon.xyz/@bremner/289
I was on octodon for a few days. Also was on hackertribe.io for two minutes to test something. Can't delete either of those, but @christianp set this up so now I'm trying Mastodon here.
Teach maths & research maths education.