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When the conventional multivariate analysis was tested using bootstrapping it was observed that the SE and CIs obtained by resampling were similar to those calculated from asymptotic approximation and this supports the adequacy of our conventional analysis.
Curie temperatures (TC) of several diluted magnetic semiconductors are calculated from first-principles by using a mapping on a Heisenberg model in a mean field approximation.
SEs and CIs obtained by resampling were similar to those calculated from the asymptotic approximation (table 4).
Therefore, interlayer friction due to atoms' thermal vibration cannot be directly calculated from the continuum approximation.
Denominator degrees of freedom were calculated from the Satterthwaite approximation [ 45].
The imaginary absorption potential is calculated from the local-density approximation proposed by Salvat [Phys. Rev. A 68 (2003) 012708].
Ge content distribution by d-cluster bulk was calculated from the presented data by the approach of polynomial approximation.
Cell conductivity is calculated from a parallel resistor approximation depending on the gas phase distribution.
It shows that the approximation calculated from Equation 62 describes the bias with high fidelity.
Solid curves in the figure are calculated from the mean field approximation, while data points are obtained from the network simulations.
An approximate potential may be calculated from quantum mechanics and from the Born-Oppenheimer approximation in which only the positions of the atomic nucleus bonding are considered [ 42].
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