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Main SMS (2005)


 

December 18, 2005
 
 
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December 07, 2005
 
 
 
 

 
November 12, 2005
 
 
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November 4, 2005
 
 
  • , whereis Riemann zeta function.
 
 
 
 
 
 
 
  • , whereis Riemann zeta function.
 
 
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August 26, 2005
 
 
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(This series can be used to compute directly the n-th digit of ln(2) in base 6561 without computing any prior digits)
 
 
 

August 26, 2005
 
 
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(This series can be used to compute directly the n-th digit of ln(3) in base 256 without computing any prior digits)
 
 
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For each positive integer n,
 
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For each positive integer n,
 

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  • A strange series (Update Nov 02, 2008)
The above series gives three possible answers: 0, 1 or 1/2.  This series gives a strange result in which its value is 1/2 when n approaches to the infinity, namely
 
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It is also considered as a key to explore and determine a closed form of some other series that have connections to math constants in infinity mode.

 
 
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Number is the within of all things.  
 Pythagoras