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Until 9/11, it had also been used carelessly to mean Square 1, a starting place.
However, one can use the root mean square as a useful measure of that distance.
The root mean square speeds of some simple molecules are shown in table 3.2.
SS also happens to be a mean square because all contrasts have 1 degree of freedom.
When the pioneers came west, they brought with them a dance called the quadrille, which means square in French.
This estimate is always biased; however, it usually has a smaller mean square error.
Mean square error is the variance plus the squared bias.
This process can be quite complex (see root mean square for a detailed mathematical explanation).
One common criterion is to minimize the mean square error .
It can also be shown, using the same method demonstrated above, to calculate the root mean square value of problem.
Then , where is the mean square distance of the electrons from the nucleus.
The test of realism was done with a root mean square error test.
Note that other distortion measures can also be considered, although mean squared error is a popular one.
This choice of filter parameters minimizes the mean square error.
Mean squared errors are also indicated in the plots.
Estimate transformation parameters using a mean square cost function.
It is meant to minimise the mean square error of all the output nodes.
Einstein derived expressions for the mean squared displacement of particles.
At first sight the data appear to conform to this model, with a root mean square residual of 0.21 cm.
However, we can achieve a lower mean squared error using a biased estimator.
"Distribution of the ratio of the mean square successive difference to the variance".
Other loss functions can be conceived, although the mean squared error is the most widely used and validated.
Computing the minimum mean square error then gives .
Efficiencies are often defined using the variance or mean square error as the measure of desirability.
The root mean square is at least as high as the arithmetic mean, and usually higher.