Talk:Mediant (mathematics)

The Fifth Arithmetical Operation

There are many other new findings and observations on the mediant, and the Generalized Mediant (Rational Mean) and its connection with arithmetical high-order root-solving algorithms and the Generalized Continued Fractions, as shown at: The Fifth Arithmetical Operation. The Rational Mean

This looks like a crackpot website to me, and in any case was poorly translated to English, and has few references but one book to back it up. Deepmath (talk) 05:39, 4 March 2008 (UTC)

I do not understand how some guys like this "Deepmath" dare to lie in such a pitifull way, I have read through the aforementioned webpage on new arithmetical methods and it clearly contains an options-menu with a link to: [1] where everybody can find plenty of references (books, articles, webpages, etc.) to back it up apart from the book you mentioned. On the other hand the only crackpot I can see here are your nonsense comments. I fully understood all the methods shown there, and they are certainly new, they use a new kind of generalized Mediant and the arithmonic mean. I have not seen any precedents of such a wonderful thing, and all of those methods converge to the value of the roots, moreover, they bring whatever convergence-rate you wanted, without any help of derivatives(infinitesimal calculus).

Deepmath, please, next time show some respect to the wikipedia audience.Missingdata1 (talk) 14:48, 14 May 2008 (UTC)

Etymology

This page might be improved by including etymology and history; the original definition of the term "mediant" and how that applies to the "mediant" defined, in this article, by a formula. The page is not titled "Mediant formula" and presumably there are historic reasons for the use of the term (if the equation is defined as "mediant", and "mediant" is defined as the equation, we have a circular definition). Hyacinth (talk) 22:25, 3 November 2019 (UTC)