What does root mean square mean?

Definitions for root mean square
root mean square

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Wiktionary

  1. root mean squarenoun

    The square root of the arithmetic mean of the squares.

Wikipedia

  1. Root mean square

    In mathematics and its applications, the root mean square of a set of numbers x i {\displaystyle x_{i}} (abbreviated as RMS, RMS or rms and denoted in formulas as either x R M S {\displaystyle x_{\mathrm {RMS} }} or R M S x {\displaystyle \mathrm {RMS} _{x}} ) is defined as the square root of the mean square (the arithmetic mean of the squares) of the set. The RMS is also known as the quadratic mean (denoted M 2 {\displaystyle M_{2}} ) and is a particular case of the generalized mean. The RMS of a continuously varying function (denoted f R M S {\displaystyle f_{\mathrm {RMS} }} ) can be defined in terms of an integral of the squares of the instantaneous values during a cycle. For alternating electric current, RMS is equal to the value of the constant direct current that would produce the same power dissipation in a resistive load. In estimation theory, the root-mean-square deviation of an estimator is a measure of the imperfection of the fit of the estimator to the data.

Wikidata

  1. Root mean square

    In mathematics, the root mean square, 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. RMS is used in various fields, including electrical engineering. It can be calculated for a series of discrete values or for a continuously varying function. Its name comes from its definition as the square root of the mean of the squares of the values. It is a special case of the generalized mean with the exponent p = 2.

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Numerology

  1. Chaldean Numerology

    The numerical value of root mean square in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of root mean square in Pythagorean Numerology is: 2


Translations for root mean square

From our Multilingual Translation Dictionary

  • media cuadráticaSpanish
  • racine signifie carréFrench
  • ரூட் சதுர அர்த்தம்Tamil
  • రూటు చదరపు అర్థంTelugu

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"root mean square." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/root+mean+square>.

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