Difference between revisions 100129940 and 100487631 on enwiki

There is a history of dispute with respect to the article, which can be traced from it's previous location ([[hypernumber]]), in the [[Talk:Hypernumber|talk]] page. Ignoring all the references that I gave (most of them formally published) and replacing them with a single reference to a single-user-maintained religious web site is inacceptable to me, therefore I resurrected the deleted content here as a first step. Maybe the new location, [[Musean hypernumber]], is more acceptable for the time being. Je(contracted; show full) understandable if you desribe first enumeratively the 9 levels of hypernumbers step by step, from the first level (real number) to the third level (countercomplex number) which can easily be defined, then admit that higher levels has not been defined clearly yet." - That is a great idea. Kevin's old web page is available in the internet archive ( [http://web.archive.org/web/*/http://www.kevincarmody.com/math/hypernumbers.html] ), I'll rebuild a similar table and put it up front. Great idea!
 - Update: I'll try to locate an external reference link instead, to underline notability of the concept. Jens [[User:Koeplinger|Koeplinger]] 19:07, 13 January 2007 (UTC)

* "3. I think by putting the M-algebra first make people confused. M-algebra is a compound of the first three levels of Musean pure hypernumbers. So the reader must understand the general hypernumber first." - You're right that the article is falling straight into M-algebra, and then later collecting bits and pieces. But I also want to bring M-algebra first, so that the article begins with the sound concepts, and deals with increasingly speculative concepts further down. What about this: I'll add an additional introductory section, 2 paragraphs or so, that briefly outline both the hypernumber levels and M-algebra and how they relate. Then I would leave the rest of the article as-is. - Update: Done. Jens [[User:Koeplinger|Koeplinger]] 19:07, 13 January 2007 (UTC)

* "4. The M-algebra is the combination of the first three level numbers. The algebra is good because it is the only higher dimensional hypercomplex algebra which is distributive and having multiplicative norm. The mathematical beauty of M-algebra is that it contains all lower dimensional composition algebra with a multiplicative modulus. It contains many kinds of octonions and many historical kinds of quaternion, except the MacFarlane hyperbolic quaternion, as subalgebras. It is a kind of unified theory of all multiplicatively normed linear algebras. Of course the 'allness' must be proven" - Great suggestions, <name>. I'll make the introductory section of M-algebra more accessible by adding these thoughts, remarks, and relations. Thank you very much! - Update: Done. Jens [[User:Koeplinger|Koeplinger]] 19:07, 13 January 2007 (UTC)

* "In response to <name>'s response, Musès' in one of his articles refers to the real numbers as epsilon_nought." - yes, I remember seeing this. I'll add this to the note about i_0 being commutative and associative under multiplication, because I believe it was mentioned in this context. Thanks! - Update: Done. Jens [[User:Koeplinger|Koeplinger]] 19:07, 13 January 2007 (UTC)

Thanks all for the constructive comments! Jens [[User:Koeplinger|Koeplinger]] 01:26, 22 December 2006 (UTC)

:Most suggestions are incorporated. Next thing is to update the article references with in-line references, and in the format desired by Wiki ([[Wikipedia:Citation templates]]). Additional references will be added (meta-physics, religion, and recent publications in peer-reviewed journals). Then, the formulas will be reduced to what's published in peer-reviewed papers. Jens [[User:Koeplinger|Koeplinger]] 19:07, 13 January 2007 (UTC)⏎
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===Other feedback===

* The article references need to be brought up to a standard that is desired in Wikipedia. This will allow proper referencing within the article, and proper indexing and hotlinking where applicable. I'll follow-up on the desired format on references.

* Not all articles have DOI references; I'm not sure whether I can get these for the older articles, because the journals are either defunct or have been renamed. I'll check.

(contracted; show full)
:::Thanks a lot for your detailed response. I'll incorporate the suggestions. Target date is end of January, time permitting. Thanks, Jens [[User:Koeplinger|Koeplinger]] 01:41, 12 January 2007 (UTC)