Hit your head on the keyboard… post your results.

# Killing time whilst waiting for the Woot!!!

You must have a really big head! I’ll try one more time and then I’m going to sleep.

here it is >>>>yhg

**stlwooter**#11

Hi Boxjox.

Pages grow until about 200 pages and then some lucky person gets last post which explains one of these threads.

**killingtime**#12

nbh

*Head on. Apply directly to the forehead. Head on. Apply directly to the forehead.*

**stlwooter**#17

Woah (said in a Keanu Reeves kind of way) The meaning of life! Imagine, we could have the most advanced computer running for a long time, we could have millions of monkeys banging away on typewriters, but you have done it with your head.

**puppysuprise**#19

ill give it a try,

Suppose (M, d) is a metric space. We define a new metric dl on M, known as the induced intrinsic metric, as follows: dl(x,y) is the infimum of the lengths of all paths from x to y. Here, a path from x to y is a continuous map γ : [0,1] → M with γ(0) = x and γ(1) = y. The length of such a path is defined as explained for rectifiable curves. We set dl(x, y) = ∞ if there is no path of finite length from x to y.

If d(x,y) = dl(x,y) for all points x and y in M, we say (M, d) is a length space or a path metric space and the metric d is intrinsic.

We say that the metric d has approximate midpoints if for any ε>0 and any pair of points x, y in M there exists c in M such that d(x,c) and d(c,y) are both smaller than d(x,y)/2 + ε.