Talk:Defactoring terminology proposal: Difference between revisions
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:: I have slightly edited the statement you disagree with to make it less strongly opposed to your perspective, but I otherwise stand by it in this context. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:39, 3 January 2022 (UTC) | :: I have slightly edited the statement you disagree with to make it less strongly opposed to your perspective, but I otherwise stand by it in this context. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:39, 3 January 2022 (UTC) | ||
::: Torsion refers specifically to the structure of a module. That is, the module has torsion when some of its elements have finite order (they are cyclic subgroups). By the way you're wording things, it seems like defactoring refers to properties of the matrices involved. That way it's fine though: "enfactored mapping" and "enfactored comma basis" are clear enough. | |||
::: Surely you're not claiming the work you've done on exterior algebra is basic! I guess I'm not always sure what level of depth/complexity an article should fall on. I do think it's possible to explain 'advanced' concepts clearly, as you have certainly demonstrated. | |||
:::- [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 22:58, 3 January 2022 (UTC) | |||
:::: Thanks for the encouragement, Sintel. I'm glad to hear you've found my explanations clear. I'll return the compliment — your explanations have consistently been quite helpful for me too. I can't wait to find the time to look into your recent thoughts on "transversal generators". | |||
:::: Good point: no, I don't count the exterior algebra article as "basic" (and don't call me "Shirley", haha.) Recently I've been writing some other definitely-not-basic theory on the wiki, too. But I still feel like I'm only scratching the surface. In any case, with regards to this torsion issue, I think that for the vast majority of xen musicians interested in working with regular temperaments, it's possible to boil it down to very basic terms. And so I think considering "enfactor" and "defactor" to be properties of matrices is fine; no need to know or care if these matrices are modules, bases, etc. Though it may give additional insight to eventually learn about those concepts, of course... I'm not trying to altogether suppress the links to these higher-level concepts, just get them away from the beginners, so as to not scare them off. For many people, matrices are scary enough already. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 23:25, 3 January 2022 (UTC) | |||