Number
This forum is oriented to revisit the concept of Number. The Rational Mean. The Arithmonic Mean. The Generalized Continued Fractions.
Number
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Arithmonic Mean
This discussion is oriented to the analysis of this very simple arithmetical operation, which is the base for the generation of high-order root approximation methods.
This operation does not appear neither in the literature nor in any math texts.
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Root-approximation methods
This discussion is oriented to the analysis of new high-order arithmetical methods, and their comparision with other known algorithms.
It also spans the history related to Root-approximations.
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Generalized Continued Fractions
This discussion is oriented to the analysis of the new Generalized Continued Fractions and their connection to the Rational Mean.
The discussions also spans the simple and general continued fractions and their connection to the particular case of the Mediant.
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New Scheme of Quantity
This discussion is oriented to the construction of a new scheme of quantity that differs from the cartesian system,
and is based on the Rational Mean, the intelligible nexus to Number.
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