2 ms·
> Of course you can work in other units, but you'll need to insert the appropriate scaling factors all over the place. You probably take out more scaling facto
by 6gvONxR4sf7o 4y ago
> Of course you can work in other units, but you'll need to insert the appropriate scaling factors all over the place.
You probably take out more scaling factors than you introduce.
> Euler's formula (e^ix = cosx + isinx) is the simplest when working with radians.
Euler’s still simple:
e^(2 i pi y) = cosy + isiny
Or if you start noticing c = e^(2 pi) showing up all over the place:
c^iy = cosy + isiny
> How do you do the same with "turns" on a sphere?… You can't in any meaningful way.
Why not do the same thing? One steradian is 1/(4 pi) of a sphere’s solid angle. What if one “steturn” or whatever just covered a full solid angle? And similarly for higher dimensions?
Neither definition seems more natural to me, especially being used to all the factors of 2 and pi that pop over all over the place in the status quo.