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Is there any application of this finding in matrix form?

Is there any application of this finding in matrix form? - Physics Forum

Is there any application of this finding in matrix form? - Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.


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  #1  
Old 10-21-2006, 10:49 AM
Thomas Walker
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Default Is there any application of this finding in matrix form?



Walker's equation

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  #2  
Old 10-21-2006, 01:38 PM
schoenfeld.one@gmail.com
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Default Is there any application of this finding in matrix form?


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

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  #3  
Old 10-21-2006, 02:55 PM
tadchem
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Default Is there any application of this finding in matrix form?


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

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  #4  
Old 10-22-2006, 04:52 AM
Researcher
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Default Is there any application of this finding in matrix form?

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

Researcher

<[Only registered users see links. ]> wrote in message
news:1161437938.781513.290820@e3g2000cwe.googlegro ups.com...



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  #5  
Old 10-22-2006, 05:10 AM
Thomas Walker
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Default Is there any application of this finding in matrix form?

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
news:453aeb32$0$19722$[Only registered users see links. ].. .
proved



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  #6  
Old 11-04-2006, 07:04 PM
marika
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Default Is there any application of this finding in matrix form?

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.





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  #7  
Old 11-05-2006, 05:24 PM
Researcher
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Default Is there any application of this finding in matrix form?

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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