## Re: [hr100] Re: Hardrock is only 90 miles!

Expand Messages
• Dear Hardrockers, I have read with amusement the discussions on the length of the Hardrock course. Clearly a mathematician s input is needed. Of course we
Message 1 of 4 , May 12, 2000
• 0 Attachment
Dear Hardrockers,

I have read with amusement the discussions on the length of the Hardrock
course. Clearly a mathematician's input is needed. Of course we live in
a three-dimensional space, but for simplicity, let's just use x for
horizontal displacement and y for vertical displacement. The usual
Euclidean metric gives the total displacement as
d = (x^2 + y^2)^{1/2} (the Pythagorean Theorem). In mathematical jargon
this might be referred to as the L^2 metric. John and Charlie are using
the L^1 metric: d = |x| + |y|. In fact, there is a whole continuum of
L^p metrics, for 1 <= p <= infinity: d = (|x|^p + |y|^p)^{1/p} in the
L^p metric. (For p = infinity, the limiting case,
d = max{|x|,|y|}.)

So what does this mean for us Hardrockers? While parapsychology is a bit
outside my realm of expertise, it seems clear that a gathering of 100
deranged minds in one location has the potential to distort space, thereby
changing the metric. In fact, once the runners get spread out along the
course, it is likely that the space surrounding one clump of runners will
have drastically different geometry from the space surrounding runners on
a different part of the course. This is the real reason that
most of the runners finished ahead of me. They were working
with a different metric, more favorable to the runner.

I am virtually certain that I ran at least 100 miles last year. (Look how
long it took me, if you have any doubts!) But just to be sure, I will get
up early the morning of the race and take a ten-mile run before the
start. I invite any other runners with geometric anxiety to join me.

Roger

Roger A. Wiegand
http://www.math.unl.edu/~rwiegand
• Roger wrote: ... I think Mulder and Scully are entered, undercover, to investigate just this phenomenon. Scully will be the one running in heels, so
Message 2 of 4 , May 12, 2000
• 0 Attachment
Roger wrote:
<snip>
>So what does this mean for us Hardrockers? While parapsychology is a bit
>outside my realm of expertise, it seems clear that a gathering of 100
>deranged minds in one location has the potential to distort space, thereby
>changing the metric.

I think Mulder and Scully are entered, undercover, to investigate
just this phenomenon. Scully will be the one running in heels, so
she'll be EZ to pick out.

The truth is out there.

Mike

________________________________________________________________
Dr. Mike Farris mfarris@...
Associate Professor of Biology http://www.hamline.edu/~mfarris
Hamline University, St. Paul, MN 55014
________________________________________________________________
Your message has been successfully submitted and would be delivered to recipients shortly.