December 23, 2006 |
The formula below is true for all .
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 |
September 17, 2006 |
August 25, 2006 |
- The new fast convergent series is found for computing the constant log 2.
July 04, 2006 |
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.
- .
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 |
- , where is the Euler constant.
January 16, 2006 |
- (new?), where is Apéry’s constant.
- (new?)
- (new?)
- (new?)
- (a beautiful series. This series can be found in Ramanujan’s second notebook)
Note: the author, who created and posted these series on this page, sent 'the idea of these series' to a 'guy' who published the new findings based on Ramanujan's original series for requesting whether those series above are new. There were no answers but ... four months later that 'guy' published in his another article and indicated that the findings in his earlier publish was in the bad direction, and he recomputed his findings based on 'the idea of these series' without mentioning the source of the original inspiration leading to that change!
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I am interested in mathematics only as a creative art. | |
Godfrey Harold Hardy |
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