1. Mathematical Constants
On Fri, 12 Jun 1998, Jeff Zeitlin wrote:
> I was playing with some ideas and writing code for them, when I
> realized that I had no function exactly equivalent to exp(x),
> which returns the famous "e" raised to the x power. Sure, this
> could be done by using the power() function and hard-coding "e" -
> but how far in do you remember "e"?
>
> So, I sat down with a piece of paper and a pen, and managed to
> derive the following function:
>
> global function exp(x)
> return power(n,x/log(n))
> end function
>
> where n is _any_ positive number (strictly greater than zero) -
> except 1.0 exactly.
>
> If x is 1, you will get the value of "e" to the limits of
> Euphoria's precision in the power and log functions.
/Me slaps forehead at realisation of own utter stupidity.
/Me makes mental note to update mathbag.e.
/Me go away now. :)
Incidentally, I'm upgrading all of my mathematical libraries anyway, so
expect new versions coming over the horizon... (complex.e is still very
limited)
Carl
PS for those who don't have mathbag.e, Pi = arctan(1) * 4, and the ratio
of the sizes of a circle and a square of the same perimeter/circumference
= 1 / arctan(1)...
--
Carl R White
E-mail...: cyrek- at -bigfoot.com / Remove the hyphens before
Finger...: crwhite- at -dcsun1.comp.brad.ac.uk \ mailing or fingering...
Url......: http://www.bigfoot.com/~cyrek/
