Root mean square
Square root of the mean square / From Wikipedia, the free encyclopedia
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In mathematics, the root mean square (abbrev. RMS, RMS or rms) of a set of numbers is the square root of the set's mean square.[1] Given a set , its RMS is denoted as either or . The RMS is also known as the quadratic mean (denoted ),[2][3] a special case of the generalized mean. The RMS of a continuous function is denoted and can be defined in terms of an integral of the square of the function.
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The RMS of an alternating electric current equals the value of constant direct current that would dissipate the same power in a resistive load.[1] In estimation theory, the root-mean-square deviation of an estimator measures how far the estimator strays from the data.