4 ms·
That square root estimation is new to me and freaky accurate. The error bounces and is generally decreasing. It's also always an underestimate. Here are the fir
by travisjungroth 3y ago
That square root estimation is new to me and freaky accurate. The error bounces and is generally decreasing. It's also always an underestimate. Here are the first six local maxima of errors.
2: 0.0809
6: 0.0495
12: 0.0355
20: 0.0277
30: 0.0227
42: 0.0192
And there's an obvious pattern there. Interesting stuff.
- nimish 3y agoIt comes from the first two terms of Newtons's expansion of (1+x)^(1/2) the generalized binomial series. https://en.m.wikipedia.org/wiki/Binomial_series https://en.m.wikipedia.org/wiki/Binomial_series
- travisjungroth 3y agoThanks!