# mean square

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## mean square

n.
The average of the squares of a set of numbers.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## mean′ square′

n.
the mean of the squares of a set of numbers.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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The air turbulence intensity changes between 17 and 31%, while the air velocity root mean square changes between 0.033 m/s (0.11 ft/s) and 0.1 m/s (0.33 ft/s).
Least Mean Square (LMS) And Normalized (LMS) Algorithm.
The result of Higham, Mao and Stuart  additionally proves strong mean square convergence rate 0.5 of the split step Euler Backward method on a given finite interval [0,T].
(c.) The root mean square error is computed by taking the difference between an actual value and its forecasted value at any point in time, squaring this difference, averaging the set of these differences at all points in time, and then taking the square root of this average.
To attempt this, she evaluated 20 interest rate, money, foreign exchange, unemployment and output measures using the root mean square errors (RMSE) of their inflation forecasts as a criterion and the naive forecast of unchanged inflation as a benchmark.
Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance.
In this study, the mean square error (MSE), root mean square error (RMSE), normalized root mean square error (NRMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE) were calculated using the following equations, which are the indexes of forecasting accuracy:

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