/sci/ - Science & Math

>>11280562
No idea. There probably isn't.
What I do know is this:
>there is no explicit formula as a polynomial, since it grows slower than x^2, but also isn't linear
>computing an inverse function is extremely easy, you just consider that the number of squares smaller than n is [math]\lfloor n^{1/2} \rfloor [/math] and using numerical methods to compute it's inverses might be efficient
>>11281749
>how
>pi
Archimedes's technique, so you approximate the circle by n-sided polygons and let n be large enough.
>e
Euler's series or the classical definition.
>sqrt 2
Newton.
>log
Integral of 1/t from 1 to x, trapezoid method.
>trig
Recall that [math]sin(x)=e^{ix}-e^{-ix}[/math], and similarly [math]cos(x)=e^{ix}+e^{-ix}[/math], use that and Euler's to expand the series and compute.
>common exponents
Use the log table.
>local physical constants
I genuinely can't come up with any method of making a chronometer in an island.
>in what order
Fuck if I know.
>>11281417
>I do stuff while asleep
>do I have dementia
As a layman, I diagnose you with somnambulism, and suggest further trials for hypocondria.
>>11281830
>>>/diy/sqt
>>11281844
Talk with a doctor.