# Definitions for **root mean square**

### This page provides all possible meanings and translations of the word **root mean square**

### Random House Webster's College Dictionary

root′ mean′ square′(n.)

the square root of the arithmetic mean of the squares of the numbers in a given set of numbers.

**Category:**Math**Ref:**Abbr.: rms 1

### Wiktionary

root mean square(Noun)

The square root of the arithmetic mean of the squares.

### Freebase

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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