Oops --- yet another square root mislaid --- S_n = K n must be linear, and the original statement was correct as it stood, Another pretty miniature, Dan! WFL On 12/8/06, Fred lunnon <fred.lunnon@gmail.com> wrote:
Should this have read " S_n = K n^2 " ?? WFL
On 12/8/06, Daniel Asimov <dasimov@earthlink.net> wrote:
The regular n-simplex delta_n(S_n) of side S_n is the convex span of n+1 points in n-space any two of which are a distance of S_n apart.
PUZZLE: Assume S_n = K*n for some constant K > 0. Define
f(n) = the n-volume of delta_n(S_n)
Given that f(n) approaches a finite limit L > 0 as n -> oo, find L.
--Dan
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun