geometric mean

Geometric Mean.
If $a_1,a_2,\mathrm{\dots },a_n$ are real numbers, we define their geometric mean as

$$G.M.=\sqrt[n]{a_1{a}_2\mathrm{\cdots }{a}_n}$$

(We usually require the numbers to be non negative so the mean always exists.)

Title	geometric mean
Canonical name	GeometricMean
Date of creation	2013-03-22 11:50:46
Last modified on	2013-03-22 11:50:46
Owner	drini (3)
Last modified by	drini (3)
Numerical id	7
Author	drini (3)
Entry type	Definition
Classification	msc 11-00
Classification	msc 44A20
Classification	msc 33E20
Classification	msc 30D15
Related topic	ArithmeticMean
Related topic	GeneralMeansInequality
Related topic	WeightedPowerMean
Related topic	PowerMean
Related topic	ArithmeticGeometricMeansInequality
Related topic	ProofOfArithmeticGeome
Related topic	RootMeanSquare3
Related topic	ProofOfGeneralMeansInequality
Related topic	DerivationOfZerothWeightedPowerMean
Related topic	ProofOfArithmeticGeometricHarmonicMeansI