Talk:Monzos and interval space: Difference between revisions

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Mike Battaglia (talk | contribs)
m 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">''...
Cmloegcmluin (talk | contribs)
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= ARCHIVED WIKISPACES DISCUSSION BELOW =
== non-uniqueness ==
'''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.
"It should be noted that while monzos correspond uniquely to positive real numbers (always rational numbers in the case of monzos), vectors in Tenney space do not. For instance, while [1 0⟩ represents 2, so does [0 log3(2)⟩."


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Why is this, and why is it important? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 16:24, 2 August 2021 (UTC)


== Add a link to the monzos page?  ==
: It probably tries to say that log3(2), when in the place of Tenney-weighted 3, translates to the ratio of 2/1. I don't think that makes much practical sense tho. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 18:21, 2 August 2021 (UTC)
Apparently I'm not allowed to edit this page. I don't really mind, because you don't want me messing with math, but it means I have to ask instead of just doing: Could we add a link to the monzos page? I recommend wording at the top that says something like this:  


This page gives the formal mathematical definition of a monzo. For a simpler explanation with examples, visit the &lt;link&gt;monzos page&lt;/link&gt;.
:: Do you think this idea should be clarified, then, or possibly removed? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:28, 11 December 2022 (UTC)


- '''jdfreivald''' February 19, 2016, 05:45:46 PM UTC-0800
== advantages ==
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I added this sentence at the top. I also set the page permission to <em>default</em>, so improve whatever you want. BTW: I'm also scared (at least confused) by these math-slang pages. I love mathematics when I understand it, but since I did not study it, its language is often a problem.


- '''xenwolf''' February 20, 2016, 12:35:55 AM UTC-0800
"Because of the mathematical advantages of Euclidean norms..."
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I also changed the redirect <strong>monzo</strong> to the page <strong>monzos</strong>, the original redirect target will be linked on top of the monzos page.


- '''xenwolf''' February 20, 2016, 12:43:39 AM UTC-0800
What advantages? --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 16:24, 2 August 2021 (UTC)
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: Naturally, the existence of analytic expressions. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 18:21, 2 August 2021 (UTC)
 
:: Okay. Well, that certainly wasn't obvious to me when I first came across this article. But perhaps this article doesn't target readers for whom that isn't already obvious, in which case it's fine or even preferable to leave the article as it is. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:28, 11 December 2022 (UTC)
 
{{WSArchiveLink}}

Latest revision as of 19:28, 11 December 2022

non-uniqueness

"It should be noted that while monzos correspond uniquely to positive real numbers (always rational numbers in the case of monzos), vectors in Tenney space do not. For instance, while [1 0⟩ represents 2, so does [0 log3(2)⟩."

Why is this, and why is it important? --Cmloegcmluin (talk) 16:24, 2 August 2021 (UTC)

It probably tries to say that log3(2), when in the place of Tenney-weighted 3, translates to the ratio of 2/1. I don't think that makes much practical sense tho. FloraC (talk) 18:21, 2 August 2021 (UTC)
Do you think this idea should be clarified, then, or possibly removed? --Cmloegcmluin (talk) 19:28, 11 December 2022 (UTC)

advantages

"Because of the mathematical advantages of Euclidean norms..."

What advantages? --Cmloegcmluin (talk) 16:24, 2 August 2021 (UTC)

Naturally, the existence of analytic expressions. FloraC (talk) 18:21, 2 August 2021 (UTC)
Okay. Well, that certainly wasn't obvious to me when I first came across this article. But perhaps this article doesn't target readers for whom that isn't already obvious, in which case it's fine or even preferable to leave the article as it is. --Cmloegcmluin (talk) 19:28, 11 December 2022 (UTC)
This page also contains archived Wikispaces discussion.