IEVref: 103-02-05 ID: Language: en Status: Standard Term: harmonic mean value Synonym1: harmonic average [Preferred] Synonym2: Synonym3: Symbol: Definition: quantity representing the quantities in a finite set or in an interval,for n 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 reciprocal of the mean value of their reciprocals: $\frac{1}{{X}_{\text{h}}}=\frac{1}{n}\left(\frac{1}{{x}_{1}}+\frac{1}{{x}_{2}}+...+\frac{1}{{x}_{n}}\right)$ if none of the n quantities is equal to zero; ${X}_{\text{h}}=0$ if at least one quantity is equal to zero; for a quantity x depending on a variable t, by the quantity ${X}_{\text{h}}$ defined by the reciprocal of the mean value of the reciprocal of the given quantity: $\frac{1}{{X}_{\text{h}}}=\frac{1}{T}{\int }_{\text{ }0}^{\text{ }T}\frac{1}{x\left(t\right)}\text{d}t$ if the value of the integral is finite; ${X}_{\text{h}}=0$ in other casesNote 1 to entry: The harmonic 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 harmonic mean value of a quantity is denoted by adding the subscript h to the symbol of the quantity. Publication date: 2017-07 Source: Replaces: 103-02-05:2009-12 Internal notes: 2017-08-25: Added

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