1. Mathematical Constants
- Posted by "Carl R. White" <C.R.White at SCM.BRAD.AC.UK> Jun 22, 1998
- 536 views
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/