The only way to commute
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This year wont be numbering fun math facts - because all math facts are fun (and perhaps even uncountable)
A new year and I've noticed something: on very low traffic days (like new years day) - since no one is driving on these normally busy roads makes Google Maps think roads are closed.... (that's my explanation anyway for the fact that it thought a bunch of highways where closed)
fun math fact 3: flipping a fair coin 1000 times - the probability of 500-500 H-T +/- 2 is about 0.125, for 100 flips the probability of 50-50 H-T +/-2 is about 0.23 - so -
1. one less thing to do in 2025
2.measuring deviations from the expectation should be done relatively (e.g. in percent)
Representatives of random 1-cycles in 3d (may be made fancier in the future)
cycleview-persistence.streamlit.app
fun math fact 2: the humble nerve theorem is anything but. It has a version for open and closed covers (but never mix the two) and appears in all over the place - a sample:
- Čech homology
- Acyclic carrier theorem
- Dowker's theorem
- Rota's crosscut theorem
- Quillen's fiber theorems for posets
Fun math fact 1: sets can be open, closed, or clopen (both closed and open) - a space is discrete iff all its sets are clopen.