Sentence examples for deviation of the integral from inspiring English sources
As is known, the Ostrowski-type inequality [1] can be used to estimate the absolute deviation of a function from its integral mean, while the Grüss inequality [2] can be used to estimate the absolute deviation of the integral of the product of two functions from the product of their respective integral.
We arbitrarily considered EEG depressions as significant if a deviation of the integral of power from the baseline (average of 10 min immediately preceding the drop in integral of power) to a level of ≤85% was detected.
As can be seen from the figure, the parameters r c and the mean μ2 and standard deviation σ2 of the integral kernel have the smallest range.
The analysis shows that the most influential parameters, i.e. those having the smallest range of values which give a good fit, are those determining the time delay occurring during intestinal uptake of astaxanthin (mean μ2 standard deviation σ2 of the integral kernel, see Methods) and the bioavailable fraction of astaxanthin (r c ).
Moreover, it was possible to extract the velocity fluctuation series for chaos analysis (correlation dimension, DML, and standard deviation of the correlation integral, DevML).
While I axi is assumed to have a small deviation, the mean of the integral kernel Z determines the length of the time delay and the deviation determines the spread.
Cascade control is one of the routinely used control strategies in industrial processes because it can dramatically improve the performance of single-loop control, reducing both the maximum deviation and the integral error of the disturbance response.
Though the mean of the three integration values was taken for each spectrum, to determine the relative standard deviation of different integral values, several (8) integrations have been taken after baseline and drift correction for few model compounds as well as for some fractions.
In the fast controller, an additional control signal was designed to compensate for the deviation of the joint elastic force from the integral manifold due to the effect of model uncertainties.
In the final step we updated the integral model with these new probability distributions and showed that the standard deviation of the indoor temperature could be reduced up to ∼40%.
