>Existential Angst wrote: >> >> Try this on a calculator/spreadsheet: >> >> Take sq rt of 10, to as many places as poss.. >> Then take recip. What do you see? >> For the calculationally lazy: >> 3.162277660168 --> .3162277660168... !!!! >> Weird coincidence? Predictable?? >> Angst's Theorem?? > > >Take sq rt of N, to as many places as poss..
N = 3:
>Then take recip.
1/N = 0.57735026918963
>What do you see?
Nothing immediately interesting.
When working in base-10, I see interesting things only when N is an integral power of 10.
>For the calculationally lazy: > (1 / sq rt of N) = (sq rt of N) / N !!!! >Weird coincidence?