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end{aligned} (12)Note that for a STEM probe, the probe amplitude coefficients beyond the probe semi-angle are zero and so the number of beams B used in practice is often much lower than the number of possible beams.
We conducted a series of closed-loop simulations and found that estimating monthly sets of spherical harmonic coefficients beyond degree five leads to exceedingly ill-posed normal equation systems.
The findings of these comparison studies demonstrated Pearson correlation coefficients beyond the significance level of p = 0.01.
After each cycle, the resolution of the map was estimated and used to modify the model by filtering out the Fourier coefficients beyond the current resolution.
Random effect estimates can be considered as the 'true' pregnancy rate coefficients, beyond natural variation.[ 8] In our study sample size was large.
An edge between two genes represented by nodes was defined for correlation coefficients beyond a chosen threshold, resulting in a discretized matrix with 1, if the correlation coefficient was greater than that threshold and 0 otherwise.
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The use of a smaller radius (sharper curvature) than the minimum radius for the prevailing design speed might necessitate a non-practical superelevation or side-friction coefficient beyond the safety limits.
These unusual coefficients go beyond those which typically occur in homogenous ferroelectrics.
+ a fixed coefficient * beyond 2 standard errors ** beyond 3 standard errors § constrained to be equal ++ Identifying Browne et al's [1] exploratory two-factor model requires excluding one indicator from loading on each factor.
On the other hand, correlation coefficient is beyond 0.9 in both cases.
For both measures of hospitalisation the relationship was curvilinear; increases in income inequality were initially associated with declining rates of hospitalisation followed by large increases as the Gini coefficient increased beyond 0.15.
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