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Apr 24th, 2024, 4:48am

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   Author  Topic: harmonic  (Read 4622 times)
temporary
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Re: harmonic  
« Reply #50 on: Jan 27th, 2008, 4:09pm »		 Quote Quote Modify Modify
Yet sm347 posted only spam, while srn347 at least tried to solve the riddles. For further discussion, http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_gen eral;action=display;num=1201066684
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My goal is to find what my goal is, once I find what my goal is, my goal will be complete.
Obob
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Re: harmonic  
« Reply #51 on: Jan 27th, 2008, 5:48pm »		 Quote Quote Modify Modify
To be honest, nobody cares if srn347 and sm347 are/were the same person.  Whether you and srn347 are the same person (and I am 99% sure you are) is much more pertinent.
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Eigenray
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Re: harmonic  
« Reply #52 on: Jan 27th, 2008, 7:02pm »		 Quote Quote Modify Modify
In any case, temporary and srn347 both certainly tend to sully any thread they touch.
 
Getting back on topic, it was still to be shown that
 
Sr = 1/1 + 1/2 + ... + 1/r - 1/(r+1) - 1/(r+2) - ... - 1/(2r)
   + 1/(2r+1) + ... + 1/(3r) - 1/(3r+1) - ... - 1/(4r)
   + 1/(4r+1) + ....
 = 1/r [ log 2 + 2 tan ]
 ~ log(2r/) + ,
 
where the sum is over = k/2r,  k= r-1, r-3, r-5, ..., k 1.
 
In fact it looks like
 
Sr ~ log(2r/) + + log(2)/r - 0.137078/r2
 
Any takers?
« Last Edit: Jan 27th, 2008, 7:26pm by Eigenray » IP Logged
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Re: harmonic  
« Reply #53 on: Jan 27th, 2008, 7:31pm »		 Quote Quote Modify Modify
on Jan 27th, 2008, 5:48pm, Obob wrote:
To be honest, nobody cares if srn347 and sm347 are/were the same person.  Whether you and srn347 are the same person (and I am 99% sure you are) is much more pertinent.

 
Wasn't srn347 ip banned also, or is that just a myth. Also, if what you are saying is true, then
 
1/1 + 1/2 + ... + 1/r - 1/(r+1) - 1/(r+2) - ... - 1/(2r)
   + 1/(2r+1) + ... + 1/(3r) - 1/(3r+1) - ... - 1/(4r)
   + 1/(4r+1) + .... ~ log(2r/) +  + log(2)/r - 0.137078/r2
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My goal is to find what my goal is, once I find what my goal is, my goal will be complete.
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