2023lctgmeetingchats
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2023lctgmeetingchats [2023.12.13 09:06] – Steve Isenberg | 2023lctgmeetingchats [2024.01.10 08:43] (current) – Steve Isenberg | ||
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To find chats for a given day, for example July 19, 2023, search for datecode 20230719 (2023, month 07, day 19). | To find chats for a given day, for example July 19, 2023, search for datecode 20230719 (2023, month 07, day 19). | ||
+ | ====20231220==== | ||
+ | ===Potpourri=== | ||
+ | Videos on Feynman and Computing Pi | ||
+ | <WRAP prewrap> | ||
+ | < | ||
+ | 08:31:54 From Barry Kort to Everyone: | ||
+ | Syncthing. | ||
+ | 08:32:01 From tedpk to Everyone: | ||
+ | Adam Adamandy Kochanski’s approximations of ´ π: | ||
+ | reconstruction of the algorithm ∗ | ||
+ | Henryk Fuks´ | ||
+ | Department of Mathematics and Statistics, | ||
+ | Brock University | ||
+ | St. Catharines, Ontario L2S 3A1, Canada | ||
+ | Toronto, Ontario M5T 3J1, Canada | ||
+ | Email: hfuks@brocku.ca | ||
+ | Abstract | ||
+ | In his 1685 paper “Observationes cyclometricae” published in Acta Eruditorum, Adam | ||
+ | Adamandy Kochanski presented an approximate ruler-and-compass construction for rectifi- ´ | ||
+ | cation of the circle. It is not generally known that the first part of this paper included an | ||
+ | interesting sequence of rational approximations of π. Kochanski gave only a partial explana- ´ | ||
+ | tion of the algorithm used to produce these approximations, | ||
+ | at a later time, which has never happened. We reconstruct the complete algorithm and discuss | ||
+ | some of its properties. We also argue that Kochanski was very close to discovery of continued ´ | ||
+ | fractions and convergents of π. | ||
+ | 08:37:26 From Barry Kort to Everyone: | ||
+ | Note: | ||
+ | </ | ||
+ | </ | ||
+ | [[lexingtoncomputergroup|return]] | ||
====20231213==== | ====20231213==== |
2023lctgmeetingchats.1702487189.txt.gz · Last modified: 2023.12.13 09:06 by Steve Isenberg