Is there any application of this finding in matrix form?

Walker's equation

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Thomas Walker wrote:

Your equation:

SUM(n=2, inf) SUM(m=2, inf) 1 / n^m = 1

Solving for the inner geometric series gives a telescoping sum of the
form,

SUM (n=2,inf) [ 1/(n-1) - 1/n ]

Since all the terms after the first cancel each other, the series
simplifies to the first term which is 1.

You can also relate your equation to the Riemann zeta function by

SUM(n=2, inf) ( zeta(n) - 1 ) = 1

and to the prime numbers in general through,

SUM(m=2)^inf ( -1 + MUL (n=1)^inf SUM(k=0)^inf ( 1 / (p_n)^(km) ) ) ) =
1
where
(p_n)^x = the n'th prime raised to power x

Thomas Walker wrote:

I am visualizing a caricature of a senile Archimedes running through
the streets wrapped in a towel and still dripping from his bath as he
shouts "Eureka! I have the answer! What was the question again?"

Tom Davidson
Richmond, VA

It is a very interesting equation, seeing how it has been derived and proved
from Binomial theorem.

Researcher

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Dear Researcher,

Thank you.

Can we think of an application in Signal Processing for this matrix.

Thomas Walker

"Researcher" <[Only registered users see links. ]> wrote in message
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proved



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On Sat, 21 Oct 2006 09:47:36 -0400, Brian Gaff <[Only registered users see links. ].uk>
wrote:


I just watched a repeat of Ali G interviewing a DEA agent and asking him
why pringles aren't illegal if you can't stop after you pop.

Walkers equatino clearly has to do with hiking. Yesterday, I went on a
hike into potential wilderness
areas to take pics, get info, blah blah. (At least we picked the one day in
the last 3 weeks when it didn't rain - at least during the day). To pick
the right day, use walker's equation.

anything else?

"marika" <mcenko@mindspring.com> wrote in message
newsp.tiibihgehvxdbn@dialup-4.248.224.24.dial1.washington2.level3.net...
in



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