Talk:Mercator family: Difference between revisions
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Hey, Flora, even though the commas you list are technically all tempered out, I think it's safe to say that most of what I had on my version of the lists actually dealt with some of the linearly independent commas. I mean some of the commas you list are only tempered out as a consequence of the commas mentioned in the descriptions being added to the comma list. For instance, the Schisma and the Symbiotic comma add up to the Keenanisma. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 12:28, 11 March 2021 (UTC) | Hey, Flora, even though the commas you list are technically all tempered out, I think it's safe to say that most of what I had on my version of the lists actually dealt with some of the linearly independent commas. I mean some of the commas you list are only tempered out as a consequence of the commas mentioned in the descriptions being added to the comma list. For instance, the Schisma and the Symbiotic comma add up to the Keenanisma. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 12:28, 11 March 2021 (UTC) | ||
: By Mike's "first fundamental law of tempering" (basically a restatement of rank-nullity theorem), you got one comma less than required in every case. In the example of 11-limit cartography, three are required (and the simplest basis is {385/384, 6250/6237, 19712/19683}). [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 14:01, 11 March 2021 (UTC) | |||
:: That's a new one. I think I need to talk to Mike and figure out more about how this works and why. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:26, 11 March 2021 (UTC) | |||
::: Make sure to read it first: ''Mike's Lecture on the First Fundamental Law of Tempering'' on this wiki. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 05:11, 12 March 2021 (UTC) | |||
Latest revision as of 05:11, 12 March 2021
Comma lists
Hey, Flora, even though the commas you list are technically all tempered out, I think it's safe to say that most of what I had on my version of the lists actually dealt with some of the linearly independent commas. I mean some of the commas you list are only tempered out as a consequence of the commas mentioned in the descriptions being added to the comma list. For instance, the Schisma and the Symbiotic comma add up to the Keenanisma. --Aura (talk) 12:28, 11 March 2021 (UTC)
- By Mike's "first fundamental law of tempering" (basically a restatement of rank-nullity theorem), you got one comma less than required in every case. In the example of 11-limit cartography, three are required (and the simplest basis is {385/384, 6250/6237, 19712/19683}). FloraC (talk) 14:01, 11 March 2021 (UTC)