Skip to main content

Main SMS (2006)

December 23, 2006

The formula below is true for all .

 
.
 
Click here to see more formulas and examples.
 
 

December 13, 2006

The reciprocal of the beautiful infinite product of nested radicals

due to Vieta in 1592 can be decomposed into partial fractions of the infinite series as shown below or click here.

 
 
 

October 15, 2006

Finite Alternative Odd Power Series

The sums of the following identities are true for any positive integer n.
 

 

  •    

 

  •    .

 

 

More >>

 


September 17, 2006
 
  •  

 

 
 

August 25, 2006
 
GraphFunc is an online program for drawing graphs of basic mathematical functions in 2D and 3D coordinate systems.  Click here to use this tool.
 
(August 1, 2006)
  •  

 

  • The new fast convergent series is found for computing the constant log 2.
 
 
 

July 04, 2006
 
 
(Twin series – when comparing this series and the one shown below)
 
 

May 29, 2006
 A fast convergent series of BPP-type formulas has been found and can be used for computing the n-th digit of in base 4096 without computing any prior digits. 
  •  .
(We do not know whether this series is new)
 
 

May 28, 2006
 
 
  •  
 
  • .

(This series has been found and can be used to compute directly the n-th digit of ln(7) without computing any prior digits. Notice that the base of this series is 729.)

 
 

May 23, 2006
 
 
  •  
 
 
 

May 15, 2006
 

 

 
 

April 21, 2006
 
 
 
 

March 7, 2006
 
  • or it can be written in product form:
 
  •  .
 
  

March 6, 2006
 
  .

 

This series can be written in product form:

, which is

 
March 4, 2006

 

 


 
January 16, 2006

 

 
  •  (new?)
 
 
  • (new?)
 
 
  • (new?)
 
 
  • (a beautiful series.  This series can be found in Ramanujan’s second notebook)

 

 

 


  <<Previous   Next>>