To evaluate which of the ratios R1 and R2 was most appropriate, we assessed which one explained a greater proportion of the variation when regressing the numerators on the denominators of the respective ratios, weighted by the inverse of the appropriate variances given above.
As a final remark, we focus our attention on the denominators of the potentials considered in Examples 2 and 4, where ((k+1)^{(p)}) and ((k+1)^{(3/2)}) is replaced by (k^{(p)}) and (sqrt {k^{3}}), respectively.
Between the dietary groups, the hard food eaters have significantly higher mechanical advantage (MA) values for all four MA measures (based on both the raw ratios and residuals from the regression of numerators on the denominators of these ratios, using both the Student's t-test and Kruskal-Wallis tests: p < 0.01).
Now, in order to come up with a code update procedure, we should still focus on the minimization of the denominator of Equation (20); note however that such a denominator depends on the Doppler shifts {ω k,l }, with l = 1,…,L and k = -N + 1,…,N - 1.
Here, the resulting percentage deviations of average Q values were mapped on the time windows of the denominator of Eq. (2) on every trace: the uppermost percentage deviation of average Q represents that from the spectral ratio of At2/At1 of Eq. (2), the second uppermost percentage deviation of average Q represents that from the spectral ration of At3/At1 and so on.
When the plant is inversed, time-delays and RHP poles or zeros can appear on the denominator of the transfer matrix, G−1.
The class of resulting controllers for a disturbance rejection problem is then chosen through the conditions of divisibility laid on the denominator of a feedback controller.
Hence, it is less likely that the cueing effect acted on the denominator of the response function, which would be noise-density dependent [43].
Except when otherwise specified, all percentages reported in this paper are based on the denominator of all women included in the study.
The normalisation term on the denominator of (18) alters the trade-off between fitting (β(t)− δ(t)) to the observed Δ Y and minimising (β(t)+ δ(t)), reducing the effect of this bias.
The reason we get a "false positive correlation with our data is that the y variable denominator and the x variable, both of which are preoperative assessments, are highly correlated, i.e. a low Total Hip T-score corresponds to a low Gruen Zone 7 baseline BMD and because this appears on the denominator of the y variable, it increases the apparent % bone loss represented by that variable.
