Talk:Mathematical theory of saturation: Difference between revisions
Cmloegcmluin (talk | contribs) question about how best to relate this page to the new page for canonical form |
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I have been working on the topic of saturation off and on for months now, with the assistance of Dave Keenan. We cannot figure out how the algorithm that is used here — the one that uses the Smith Decomposition (named for Henry John Stephen Smith; no relation to Gene Ward Smith, as far as we know) — to desaturate matrices ''works''. We've tried devising our own methods that feel more straightforward, but they fail on edge cases. At this point Gene's method here feels a bit like magic. Can anyone explain how it works, or maybe at least where it came from — Gene's own ingenuity, or perhaps from the Sage math software (where we suspect he draws his name for the concept, "saturation")? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 22:53, 1 August 2021 (UTC) | I have been working on the topic of saturation off and on for months now, with the assistance of Dave Keenan. We cannot figure out how the algorithm that is used here — the one that uses the Smith Decomposition (named for Henry John Stephen Smith; no relation to Gene Ward Smith, as far as we know) — to desaturate matrices ''works''. We've tried devising our own methods that feel more straightforward, but they fail on edge cases. At this point Gene's method here feels a bit like magic. Can anyone explain how it works, or maybe at least where it came from — Gene's own ingenuity, or perhaps from the Sage math software (where we suspect he draws his name for the concept, "saturation")? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 22:53, 1 August 2021 (UTC) | ||
: If anyone comes to this later, Dave and I managed to answer our own question. Our findings are compiled here: [[ | : If anyone comes to this later, Dave and I managed to answer our own question. Our findings are compiled here: [[Defactoring_algorithms#Precedent:_Smith_defactoring]] --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 06:15, 27 September 2021 (UTC) | ||
== how to relate this page to the new page for canonical form == | == how to relate this page to the new page for canonical form == | ||
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I don't want to be hasty here so I don't plan to take any action until I hear plenty of other opinions. Thanks for your attention to this. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 17:39, 27 September 2021 (UTC) | I don't want to be hasty here so I don't plan to take any action until I hear plenty of other opinions. Thanks for your attention to this. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 17:39, 27 September 2021 (UTC) | ||
: Okay, I decided that at least a "See also" at the bottom seemed reasonable enough. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:03, 29 September 2021 (UTC) | |||
:: Alright, after discussing with Mike Battaglia, this page has been moved to be the mathematically-inclined page, and a new general audience page has been created here: [[Saturation,_torsion,_contorsion,_and_defactoring]] --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:13, 13 November 2021 (UTC) | |||
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