Pi shows up in many areas that have nothing to do with geometry. For example, the integral of exp(-x^2) over the whole real line is sqrt(Pi). Also, the infinite series 1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ... = Pi/4.
- Martin David Mirly wrote: > Is pi really inherent throughout the universe? > > Won't the concept of pi break down in the presence of sufficiently > strong gravity? > i.e. Euclidian plane geometry is only a good approximation for our > "normal/every day" applications. > > > On Dec 6, 2006, at 9:52 AM, [EMAIL PROTECTED] <mailto:[EMAIL PROTECTED]> > wrote: > >> There seems to be a constant about the nature of number across all >> cultures: that they have a magically aspect and seem to be an integral >> part of the nature of the universe. Of course some numbers seem to be >> more magic than others, e.g. Pi. Why numbers are inherent in the >> universe is another interesting question considering wave and field >> theory. Magic? >> >> cheers Paul Paryski >> ============================================================ >> FRIAM Applied Complexity Group listserv >> Meets Fridays 9a-11:30 at cafe at St. John's College >> lectures, archives, unsubscribe, maps at http://www.friam.org > > > ------------------------------------------------------------------------ > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org