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Archimedean Valuation


A valuation for which |x|<=1 implies |1+x|<=C for the constant C=1 (independent of x). Such a valuation does not satisfy the strong triangle inequality

 |x+y|<=max(|x|,|y|).

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Cite this as:

Weisstein, Eric W. "Archimedean Valuation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ArchimedeanValuation.html

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