Talk:Dual list - Revision history

Cmloegcmluin at 15:40, 16 June 2021

2021-06-16T15:40:20Z

← Older revision		Revision as of 15:40, 16 June 2021
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	: 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.		: 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)		: 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)

			:: Thanks, FloraC. Good catch on the redundant mapping row. Maybe it was intentional, to show how the process returns the appropriate null-space anyway. I suppose that's valuable to demonstrate. I'm just surprised it's the first example, then, and not mentioned. I'll just add an explanatory note. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 15:40, 16 June 2021 (UTC)

FloraC: /* Null-space? */ re

2021-06-16T06:26:53Z

Null-space?: re

← Older revision		Revision as of 06:26, 16 June 2021
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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)

Cmloegcmluin: 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..."

2021-06-16T01:25:10Z

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..."

New page

== 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. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:25, 16 June 2021 (UTC)