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geometric mean
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(Definition)
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Geometric Mean.
If
 are real numbers, we define their geometric mean as
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"geometric mean" is owned by drini. [ owner history (1) ]
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(view preamble)
See Also: arithmetic mean, general means inequality, weighted power mean, power mean, arithmetic-geometric-harmonic means inequality, root-mean-square, proof of general means inequality, derivation of zeroth weighted power mean, proof of arithmetic-geometric-harmonic means inequality, derivation of geometric mean as the limit of the power mean, mean, a prime theorem of a convergent sequence
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Cross-references: mean, negative, real numbers
There are 21 references to this entry.
This is version 2 of geometric mean, born on 2001-10-20, modified 2001-11-09.
Object id is 407, canonical name is GeometricMean.
Accessed 16771 times total.
Classification:
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Pending Errata and Addenda
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![$\displaystyle G.M. =\sqrt[n]{a_1a_2\cdots a_n}$](http://images.planetmath.org:8080/cache/objects/407/l2h/img2.png "$\displaystyle G.M. =\sqrt[n]{a_1a_2\cdots a_n}$"){kind=small}