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quadratic mean
noun
A type of average, calculated as the square root of the mean of the squares, ie. Q = \sqrt x_1^2 + x_2^2 + ... + x_n^2 \over n .
synonyms
Exact(60)
The quadratic mean gives the "standard deviation" of x1, x2, …, xn.
The approximation performance is measured by mean errors (e.g., integrated or maximal quadratic mean errors).
Lameness improvement (LI) after blocking was determined as a percentage decrease in the quadratic mean (vector sum).
The number 4 is the quadratic mean (or root mean square) of the numbers 1, 1, 2, 5, and 7 and differs from their arithmetic mean, which is 3 1/5.
In general, the quadratic mean of n numbers x1, x2, …, xn is the square root of the arithmetic mean of their squares, The arithmetic mean gives no indication of how widely the data are spread or dispersed about the mean.
Necessary and sufficient condition under which two-level preconditioner guarantees quadratic mean exponential stability of the desired structure of uncontrolled stochastic interval system is presented.
Then, if the reference signal is compatible with the input constraint, the output-reference tracking quality depends on the reference quadratic mean rate (RQMR).
In general, redistributing windrowed topsoil (S, SH, and SM) yielded a consistently positive effect on quadratic mean diameter, basal area (BA), and volume compared to C and H.
For all species, stand density was greater in plots with abundant Chinese tallow, while basal area, quadratic mean diameter, and relative density were lower (p < 0.10).
By employing the Holder's inequality and fixed points principle, we present some new criteria ensuring existence and uniqueness of a quadratic mean almost periodic and global exponential stability.
The paper considers the problems of existence of quadratic mean almost periodic and global exponential stability for stochastic cellular neural networks with delays.
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