Talk:Linear dependence: Difference between revisions

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- [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 22:54, 18 December 2021 (UTC)

: Thanks for the critical feedback! This page is still potentially due for some revision as I iron out the final insights regarding it and temperament arithmetic. Okay. I see the difference in meaning. I came to this conclusion from interpreting a post I saw in the old Yahoo Groups thread archives. Perhaps in xenharmonics the usage of the word got stretched a bit. So would you say my section on this page "Vs geometry" is just totally inaccurate? If so, I can delete it.

: My remaining concern, then, is that I needed a word to describe a condition on the possibility of temperament arithmetic. And I called it, for now, "monononcollinearity", and it builds upon the notion of collinearity that is described here, i.e. linear dependence. So I should replace that term, I suppose, with "singularly linearly independent", meaning when two temperaments share all but one vector. The problem is that I need to use that word *A LOT*, and "singularly linearly independent" is a mouthful. Do you happen to know if there's already an established term for this? I tried searching online for it but met no success. If you entry-wise add multivectors that are not singularly linearly independent, you get a multivector that is nondecomposable, i.e. cannot be expressed as the wedge product of vectors. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 03:16, 19 December 2021 (UTC)

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 - [[User:Sintel|Sintel]] ([[User talk:Sintel|talk]]) 22:54, 18 December 2021 (UTC)
+: Thanks for the critical feedback! This page is still potentially due for some revision as I iron out the final insights regarding it and temperament arithmetic. Okay. I see the difference in meaning. I came to this conclusion from interpreting a post I saw in the old Yahoo Groups thread archives. Perhaps in xenharmonics the usage of the word got stretched a bit. So would you say my section on this page "Vs geometry" is just totally inaccurate? If so, I can delete it.
+: My remaining concern, then, is that I needed a word to describe a condition on the possibility of temperament arithmetic. And I called it, for now, "monononcollinearity", and it builds upon the notion of collinearity that is described here, i.e. linear dependence. So I should replace that term, I suppose, with "singularly linearly independent", meaning when two temperaments share all but one vector.  The problem is that I need to use that word *A LOT*, and "singularly linearly independent" is a mouthful. Do you happen to know if there's already an established term for this? I tried searching online for it but met no success. If you entry-wise add multivectors that are not singularly linearly independent, you get a multivector that is nondecomposable, i.e. cannot be expressed as the wedge product of vectors. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 03:16, 19 December 2021 (UTC)