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Dynamic behaviors such as autocorrelation function of the squared radius of gyration and mean square displacement were also studied too.
A further generalization allows the conditional variance to be a non-linear function of the squared innovations.
Given the effects for each function of the squared canonical correlation (R c 2)—only the first two functions were considered noteworthy in the context of this study (90.2 and 33.0 % of shared variance, respectively), as shown in Table 5.
Through the analysis of the probability density function of the squared largest singular value of a complex Gaussian matrix at the origin and tail, we obtain two asymptotic results related to the multi-input multi-output (MIMO) maximum-ratio-transmission/maximum-ratio-combining (MRT/MRC) systems.
The leverage is then a linear function of the squared distance of xi from the covariate mean, (bar{x}).
We showed that this capacity can be approximated as a linear function of the squared distance between players.
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The penalty function is derived by taking the logarithm of the prior, yielding a penalty that is a function of the coefficients squared and the logarithm of a parabolic cylinder function of the absolute value of the coefficients.
Figure 5: Drop deformation as a function of the square of the electric field strength.
Temperature gradient ∇T along the sample as a function of the square of the heating voltage VH at different base temperatures, which is proportional to the heating power.
In particular, the rotational spring stiffness of HBM is a function of the square of cross-sectional area of columns with regular polygonal or circular cross-sectional shape.
Centrifugal force is a function of the square of the train's velocity divided by the radius of the curve; the smaller and tighter the curve, or the faster the train, the greater the centrifugal force.
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