- #1
Boorglar
- 210
- 10
By chance I stumbled on this "almost" equality:
[itex]\frac{1}{5}(1/2+2/3+3/4+4/5+5/6+6/7+7/8+8/9+9/10) ≈ √2 - 7.2×10^{-6}[/itex]
I'm just wondering, are these funny coincidences simply, well, coincidences or is there some kind of explanation?
I've see a ton of other funny stuff like [itex]e^{\pi} - {\pi}≈19.99909998[/itex].
How likely is it for a relatively simple expression involving unrelated constants to work out almost nicely? Is it actually easy to come up with these meaningless things?
[itex]\frac{1}{5}(1/2+2/3+3/4+4/5+5/6+6/7+7/8+8/9+9/10) ≈ √2 - 7.2×10^{-6}[/itex]
I'm just wondering, are these funny coincidences simply, well, coincidences or is there some kind of explanation?
I've see a ton of other funny stuff like [itex]e^{\pi} - {\pi}≈19.99909998[/itex].
How likely is it for a relatively simple expression involving unrelated constants to work out almost nicely? Is it actually easy to come up with these meaningless things?