Talk:Dual list: Difference between revisions
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Cmloegcmluin (talk | contribs) Created page with "== Null-space? == I'm confused. This article seems to be giving an elaborate alternative to the null-space of a matrix. Am I misunderstanding? What use or additional insight..." |
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The first example seems clearly wrong, because dimensionality is 5 (each map and comma has 5 elements) yet the temperament is rank-3 (there are 3 maps) and has nullity 3 (there are three commas). The rank and nullity must sum to the dimensionality. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:25, 16 June 2021 (UTC) | The first example seems clearly wrong, because dimensionality is 5 (each map and comma has 5 elements) yet the temperament is rank-3 (there are 3 maps) and has nullity 3 (there are three commas). The rank and nullity must sum to the dimensionality. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:25, 16 June 2021 (UTC) | ||
: I'm pretty sure the conversion from the val list to the monzo list is simply taking the null space. I haven't studied how to convert backwards, and I abs wonder. | |||
: The first example contains a redundant row in the val list. That 72 is simply 31 + 41. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:26, 16 June 2021 (UTC) | |||
Revision as of 06:26, 16 June 2021
Null-space?
I'm confused. This article seems to be giving an elaborate alternative to the null-space of a matrix. Am I misunderstanding? What use or additional insight does this method provide beyond taking the null-space? (when going from the comma basis back to the mapping, it's necessary to sandwich the null-space operation with anti-transposes)
The first example seems clearly wrong, because dimensionality is 5 (each map and comma has 5 elements) yet the temperament is rank-3 (there are 3 maps) and has nullity 3 (there are three commas). The rank and nullity must sum to the dimensionality. --Cmloegcmluin (talk) 01:25, 16 June 2021 (UTC)