I made a guest post at the n-Category Café, thanks to a kind invitation by John Baez! The plan is for it to be the first of a series:
math thoughts Show more
my favorite things in math involve finding discrete, combinatorial structure in squishy, continuous things like smooth functions and manifolds (or vice versa, finding some analysis-y object that encodes properties of some discrete thing that you're interested in)
i always found the de facto division of mathematics into algebra-y stuff and analysis-y stuff weird and uncomfortable but hey, i've never really been into binaries :V
Create a culture of respect for data. Nice opinion paper about #ethics in #statistics. #OpenScience #OpenData #science
📄Gelman, A. 2018. Ethics in statistical practice and communication: Five recommendations. Significance 15:40-43
I like Zeno's paradox because it could have gone either of two ways. Either you invent calculus and oh hey we can add infinite numbers of infinitely tiny things, or you invent the theory of atoms https://en.wikipedia.org/wiki/Atomism and end up with Minkowski's theorem https://en.wikipedia.org/wiki/Minkowski%27s_theorem thereby opening up algebraic geometry.
"Matching is easier than counting" -- one of my favourite gems in combinatorial proof: https://www.math.hmc.edu/~benjamin/papers/DIE.pdf [PDF]
"An alternative approach to alternating sums: a method to DIE for"
Here's a fun TIL: Because the ratio of terms in the Fibonacci sequence approaches phi, and because phi is close to the ratio of km to miles, you can approximate conversion between distances with adjacent Fibonacci numbers.
So 2 km ≈ 1 mile, 3 km ≈ 2 miles, 5 km ≈ 3 miles, 8 km ≈ 5 miles, 13 km ≈ 8 miles, etc, etc
Interested in statistics, algorithms, patterns, and randomness. My other, main account is where I hangout with my townsfolk. This one's for science-chat. #nobot
A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.
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