Timeline for Conceptual insights and inspirations from experimental and computational mathematics
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 11, 2021 at 19:12 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| Dec 3, 2019 at 13:53 | comment | added | Somos | @MarioKrenn As for references, the entry for OEIS sequence A006890 has dozens of them. | |
| Dec 3, 2019 at 13:45 | comment | added | Somos | @MarioKrenn I am sure there are references in the literature giving more information that Feigenbaum's original publication itself. He did numerical experiments using a programmable HP-65 calculator an observed that a certain sequence of numbers had a simple asymptotic behavior that depended the number 4.6692 which is now known as Feigenbaum's constant. Furthermore, this same number appeared in many similar situations which was an unexpected phenomenon. Without the extensive computations, he would not have followed a line of reasoning to develop his surprising result. | |
| Dec 3, 2019 at 6:47 | comment | added | Mario Krenn | This is interesting, [en.wikipedia.org/wiki/Mitchell_Feigenbaum#Work](wikipedia) knows a little bit more about it, but not too much. I would love to read more about how he used his calculations -- how did he get the number 4.6692, and how did he use the computer? was it used as mere calculation machine, or did he run some other algorithms which lead to this? and how did this number inspire him? is there something special about its numerical value? I am unfortunatly missing how the computer inspired him. | |
| Dec 3, 2019 at 1:26 | history | answered | Somos | CC BY-SA 4.0 |