4 ms·
It's... not? It's 9.87. If you throw a dart at the number line, the average distance it will be from the nearest integer is 0.25. The distance from pi^2 to 10 i
by scythe 9y ago
It's... not? It's 9.87. If you throw a dart at the number line, the average distance it will be from the nearest integer is 0.25. The distance from pi^2 to 10 is 0.13. That's below average, but in the second quintile. There's nothing special about 10, other than it happens to be the number of fingers on two human hands.
However, deriving approximations for pi from the Basel series is sort of interesting. Except summing the Basel series requires at a bare minimum the theory of Taylor series, so it is not an accessible theorem for a primitive geometer.
- alphydan 9y agoBut it is accessible to the primitive geometer... https://www.youtube.com/watch?v=d-o3eB9sfls https://www.youtube.com/watch?v=d-o3eB9sfls Or for more details, http://www.math.chalmers.se/~wastlund/Cosmic.pdf http://www.math.chalmers.se/~wastlund/Cosmic.pdf
- deleted 9y ago[deleted]
- hazeii 9y agoIt's not 9.81, it's more like 9.87 (you got the distance correct at 0.13 so I guess a typo?).
- jandrese 9y agoOr as my dad used to say: Close only counts in horseshoes and hand grenades.
- dwighttk 9y agoatom bombs
- formula1 9y agoI like your mindset:)