Timeline for $\pi$ and rapid series for the inverse tangent
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| May 13, 2018 at 23:43 | comment | added | Philip Thomas | @Gerry Myerson. In this paper ijmcs.future-in-tech.net/13.2/R-Abrarov.pdf page 167 shows a Mathematica program that generates 17 digits of pi per term. This proves rapid convergence. | |
| May 4, 2018 at 3:34 | answer | added | Philip Thomas | timeline score: 0 | |
| May 4, 2018 at 1:02 | comment | added | Gerry Myerson | The software doesn't let you ping two people in one comment. I think that if you want coudy to see your comment, you have to have it as a comment to coudy's answer, not a comment to your question. Also, I think you have to not have a space between the at-sign and the username. | |
| Sep 29, 2017 at 12:46 | comment | added | Philip Thomas | @ Gerry Myerson. Hardware is the desktop computer. My main soft is Maple (or any other). Our goal is to show the best convergence rate by taking appropriate series for $tan^{-1} x$. If the convergence rate is 5 - 10 digits per term, the range of 30 - 50 decimals is enough. One may expect that the Hwang's equation (32) can produce up to 10 new digits of pi per increment. | |
| Sep 29, 2017 at 3:12 | comment | added | Gerry Myerson | Which of several methods is the most efficient generally depends on how clever the coder is and what software and hardware the coder is using, and what the range of the computation is. It's not just a matter of which formula. | |
| Sep 28, 2017 at 20:20 | answer | added | coudy | timeline score: 4 | |
| Sep 28, 2017 at 20:11 | answer | added | Fredrik Johansson | timeline score: 0 | |
| Sep 28, 2017 at 19:42 | answer | added | Igor Rivin | timeline score: 0 | |
| Sep 28, 2017 at 19:12 | history | edited | Philip Thomas | CC BY-SA 3.0 |
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| Sep 28, 2017 at 18:14 | history | edited | Philip Thomas | CC BY-SA 3.0 |
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| Sep 28, 2017 at 18:05 | history | edited | Philip Thomas | CC BY-SA 3.0 |
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| Sep 28, 2017 at 17:55 | history | asked | Philip Thomas | CC BY-SA 3.0 |