Relationship between different types of mean

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I hase described these here:

http://en.wikipedia.org/wiki/Talk:Average#Relationship_between_different_types_of_mean

I would be very happy if someone could check them and add them to either article.

thanks.

The Rational Mean

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The Rational Mean is the unifying concept which embraces all known Means and the most simple principle for generating high-order root-solving methods, as shown at: The Rational Mean

So, it is disturbing to realize so many people seem unaware of this basic arithmetical principles and methods. — Preceding unsigned comment added by Arithmonic (talkcontribs) 20 October 2006 (UTC)

graphics

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i think it would be very useful to visualize the concept with such a graphic: [[1]]