IEVref: 103-02-04 ID: Language: en Status: Standard Term: geometric mean value Synonym1: geometric average [Preferred] Synonym2: Synonym3: Symbol: Definition: quantity representing the quantities in a finite set or in an interval,for n positive quantities ${x}_{1},\text{\hspace{0.17em}}{x}_{2},\text{\hspace{0.17em}}\text{\hspace{0.17em}}\dots \text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}{x}_{n}$, by the positive nth root of their product: ${X}_{\text{g}}={\left({x}_{1}\cdot {x}_{2}\cdot ...\cdot {x}_{n}\right)}^{1/n}$ for a quantity x depending on a variable t, by the quantity ${X}_{\text{g}}$ calculated from the values of the quantity x(t) by the expression $\mathrm{log}\frac{{X}_{\text{g}}}{{x}_{\text{ref}}}=\frac{1}{T}{\int }_{\text{ }0}^{\text{ }T}\mathrm{log}\frac{x\left(t\right)}{{x}_{\text{ref}}}\text{d}t$ where ${x}_{\text{ref}}$ is a reference valueNote 1 to entry: The geometric mean value of a periodic quantity is usually taken over an integration interval the range of which is the period multiplied by a natural number. Note 2 to entry: The geometric mean value of a quantity is denoted by adding the subscript g to the symbol of the quantity. Publication date: 2017-07 Source Replaces: 103-02-04:2009:12 Internal notes: 2017-08-25: Added

tag before list. LMO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: