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IEVref:103-02-04ID:
Language:enStatus: 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,

  1. for n positive quantities x1,x2,xn, by the positive nth root of their product:

    Xg=(x1x2...xn)1/n

  2. for a quantity x depending on a variable t, by the quantity Xg calculated from the values of the quantity x(t) by the expression

    logXgxref=1TT0logx(t)xrefdt

    where xref is a reference value

Note 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 <p> tag before list. LMO
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