root mean square

root mean square
(rms)
   a notation used after various measurements to indicate that the root mean square method has been used to measure or compute an average value for the measurement. Usually the quantity being measured varies in a periodic way; typical examples include the voltage of an alternating current or the intensity of a sound wave. In the rms method, the varying quantity is first squared (S), then a mean (M) or average of the squared values is obtained, and then the square root (R) of this mean value is computed. For many purposes this procedure gives the best measure of the "typical" or "effective" value of the quantity.

Dictionary of units of measurement. 2015.

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  • root mean square — root′ mean′ square′ n. math. the square root of the arithmetic mean of the squares of the numbers in a given set of numbers Abbr.: rms …   From formal English to slang

  • root mean square — ► NOUN Mathematics ▪ the square root of the arithmetic mean of the squares of a set of values …   English terms dictionary

  • root mean square — n. Statistics the value of a quantity or the effective value of a periodic quantity, as a current, equal to the square root of the average (arithmetic mean) of the squares of a set of values …   English World dictionary

  • Root Mean Square — der englische Ausdruck für Quadratisches Mittel für Quadratisches Mittel in der Elektrotechnik siehe Effektivwert Diese Seite ist eine Begriffsklärung zur Unterscheidung mehrerer mit demselben Wort bezeichneter Beg …   Deutsch Wikipedia

  • Root mean square — In mathematics, the root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. It is especially useful when variates are positive and negative, e.g., sinusoids.It… …   Wikipedia

  • root mean square — Math. the square root of the arithmetic mean of the squares of the numbers in a given set of numbers. Abbr.: rms [1890 95] * * * root mean square noun The square root of the sum of the squares of a set of quantities divided by the total number of …   Useful english dictionary

  • Root mean square — Unter dem Effektivwert (Abk: RMS englisch: root mean square) versteht man in der Elektrotechnik den quadratischen Mittelwert eines zeitlich veränderlichen Signals. Intention bei der Einführung des Begriffes ist es, den Wert derjenigen… …   Deutsch Wikipedia

  • Root mean square speed — is the measure of the speed of particles in a gas that is most convenient for problem solving within the kinetic theory of gases. It is given by the formula:v {rms} = sqrt 3RT}over{M mwhere vrms is the root mean square speed, Mm is the molar mass …   Wikipedia

  • Root-mean-square deviation — For the application of root mean square deviation to bioinformatics, see Root mean square deviation (bioinformatics). The root mean square deviation (RMSD) or root mean square error (RMSE) is a frequently used measure of the differences between… …   Wikipedia

  • Root mean square deviation — The root mean square deviation (RMSD) ( also root mean square error (RMSE) ) is a frequently used measure of the differences between values predicted by a model or an estimator and the values actually observed from the thing being modeled or… …   Wikipedia

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