Talk:Taxicab distance - Revision history

Cmloegcmluin at 23:31, 28 February 2023

2023-02-28T23:31:30Z

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	:: I understood that reasoning, but there are different "defaults" in common use. For example, the Tenney harmonic distance is also a kind of taxicab distance and is used in a wider reach. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 07:24, 27 February 2023 (UTC)		:: I understood that reasoning, but there are different "defaults" in common use. For example, the Tenney harmonic distance is also a kind of taxicab distance and is used in a wider reach. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 07:24, 27 February 2023 (UTC)

			::: I suppose the article could at least mention that taxicab distance is just the same thing as the 1-norm, and that it's quite common in RTT to scale the elements of vectors before taking their norm (such as with Tenney harmonic distance AKA log-product complexity), which is what Dave and I call a prescaled norm. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 23:31, 28 February 2023 (UTC)

FloraC: re

2023-02-27T07:24:14Z

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	:: I agree with Fredg999. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 19:45, 26 February 2023 (UTC)		:: I agree with Fredg999. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 19:45, 26 February 2023 (UTC)

			:: I understood that reasoning, but there are different "defaults" in common use. For example, the Tenney harmonic distance is also a kind of taxicab distance and is used in a wider reach. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 07:24, 27 February 2023 (UTC)

Cmloegcmluin at 19:45, 26 February 2023

2023-02-26T19:45:33Z

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	: I believe that taxicab distance implies a length of 1 on every prime when it says the "number of primes". For comparison, [[Wilson height]] (sum of prime factors with repetitions) works in a similar way, but defines a length equal to the value of the prime to each prime. I'm not sure if different geometries (e.g. square lattice vs. hexagonal lattice) would give different results. I suppose if there are multiple distinct applications of taxicab distance, it might be worth giving them specific qualifiers, but I think "taxicab distance" should imply by default that we're working on a square lattice with edge length 1. --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 15:52, 26 February 2023 (UTC)		: I believe that taxicab distance implies a length of 1 on every prime when it says the "number of primes". For comparison, [[Wilson height]] (sum of prime factors with repetitions) works in a similar way, but defines a length equal to the value of the prime to each prime. I'm not sure if different geometries (e.g. square lattice vs. hexagonal lattice) would give different results. I suppose if there are multiple distinct applications of taxicab distance, it might be worth giving them specific qualifiers, but I think "taxicab distance" should imply by default that we're working on a square lattice with edge length 1. --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 15:52, 26 February 2023 (UTC)

			:: I agree with Fredg999. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 19:45, 26 February 2023 (UTC)

Fredg999: /* Equilateral? */ Re

2023-02-26T15:52:42Z

Equilateral?: Re

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	"Taxicab distance" sounds underspecific since it only states that the lattice is traversed in a "Manhattan/taxicab" manner, without any information on the length. I recommend adding "equilateral" to fully describe this kind of distance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 10:27, 26 February 2023 (UTC)		"Taxicab distance" sounds underspecific since it only states that the lattice is traversed in a "Manhattan/taxicab" manner, without any information on the length. I recommend adding "equilateral" to fully describe this kind of distance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 10:27, 26 February 2023 (UTC)

			: I believe that taxicab distance implies a length of 1 on every prime when it says the "number of primes". For comparison, [[Wilson height]] (sum of prime factors with repetitions) works in a similar way, but defines a length equal to the value of the prime to each prime. I'm not sure if different geometries (e.g. square lattice vs. hexagonal lattice) would give different results. I suppose if there are multiple distinct applications of taxicab distance, it might be worth giving them specific qualifiers, but I think "taxicab distance" should imply by default that we're working on a square lattice with edge length 1. --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 15:52, 26 February 2023 (UTC)

FloraC: /* Equilateral? */ new section

2023-02-26T10:27:26Z

Equilateral?: new section

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			== Equilateral? ==

			"Taxicab distance" sounds underspecific since it only states that the lattice is traversed in a "Manhattan/taxicab" manner, without any information on the length. I recommend adding "equilateral" to fully describe this kind of distance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 10:27, 26 February 2023 (UTC)

Fredg999: Fredg999 moved page Talk:Commas by taxicab distance to Talk:Taxicab distance: WP:CONCISE

2023-02-26T06:24:42Z

Fredg999 moved page Talk:Commas by taxicab distance to Talk:Taxicab distance: WP:CONCISE

← Older revision	Revision as of 06:24, 26 February 2023
(No difference)

Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage

2018-10-01T18:02:34Z

1 revision imported: Moving archived Wikispaces discussion to subpage

← Older revision	Revision as of 18:02, 1 October 2018
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WikispacesArchive>Mike Battaglia: Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' ''...

2018-10-01T18:01:16Z

Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' <span style="color:#800000">''...

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	~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~		{{WSArchiveLink}}
	~~'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''~~

	~~<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.~~

	~~----~~

	~~== Title of this page ==~~
	~~"factor limit commas" seems like a bad name for a page about a complexity measure.~~

	~~- '''genewardsmith''' September 03, 2011, 08:24:54 AM UTC-0700~~
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	~~how's' "commas by taxicab distance"?~~

	~~- '''xenjacob''' September 03, 2011, 10:06:13 AM UTC-0700~~
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	~~OK, if you plan to talk only about commas and not intervals in general.~~

	~~- '''genewardsmith''' September 03, 2011, 10:09:09 AM UTC-0700~~
	~~----~~

Mike Battaglia: Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' ''...

2018-09-20T07:00:30Z

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	= ARCHIVED WIKISPACES DISCUSSION BELOW =		= ARCHIVED WIKISPACES DISCUSSION BELOW =
	'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''		'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''

			<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.

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Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

New page

= ARCHIVED WIKISPACES DISCUSSION BELOW =
'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
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== Title of this page ==
"factor limit commas" seems like a bad name for a page about a complexity measure.

- '''genewardsmith''' September 03, 2011, 08:24:54 AM UTC-0700
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how's' "commas by taxicab distance"?

- '''xenjacob''' September 03, 2011, 10:06:13 AM UTC-0700
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OK, if you plan to talk only about commas and not intervals in general.

- '''genewardsmith''' September 03, 2011, 10:09:09 AM UTC-0700
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