Talk:Linear dependence: Difference between revisions

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: 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)

:: I would avoid anything with "singular" since that has yet another meaning. How about just talking about rank deficiency? Something like 1-deficient would be clear enough if you define it clearly.

:: The section on geometry is inaccurate yeah. afaik "collinear" just comes from lying on the same (com-) line (linear).

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 : 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)
+:: I would avoid anything with "singular" since that has yet another meaning. How about just talking about rank deficiency? Something like 1-deficient would be clear enough if you define it clearly.
+:: The section on geometry is inaccurate yeah. afaik "collinear" just comes from lying on the same (com-) line (linear).