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The β values can then be calculated by performing orbit averages (Section 2.7) of these sets of synthetic field values.

U n ∈ ℝ I n × I n is the unitary matrix and can be calculated by performing a matrix singular value decomposition (SVD) on the A(n)[35].

The distance from the human subject to the radar antenna can be calculated by performing the discrete short-time Fourier transform (DSFT) on skewness.

From Equation 2, it can be observed that L can be calculated by performing PCA on the columns of matrix U.

The MSE in fading channels is obtained with a hybrid analytical and simulation method, i.e., given H, the conditional MSE can be calculated by performing the trace operation over (11), and the unconditional MSE can then be obtained by averaging over a large number of independent implementations of H.

Therefore it can be argued that to account for the limitations in partial mouth assessments, a correction factor should be calculated by performing full mouth assessments on a certain percentage of subjects and comparing the results with those obtained from partial mouth assessments [ 1].

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The molar fractions of surface gas (xg,j) and stock tank oil (xo,j) in the reservoir oil at every pressure level j were calculated by performing series of flash calculation on the reservoir oil through designed production separator conditions, using Eq. 17 and Eq. 18.

The molar fractions of surface gas (yg,j) and stock tank oil (yo,j) in the reservoir gas at every pressure level j were calculated by performing series of flash calculation on the reservoir gas through designed production separator conditions, using Eq. 13 and Eq. 14.

The distance from human target to the radar antenna is calculated by performing the discrete short-time Fourier transform (DSFT) algorithm on the calculated skewness from the received pulses.

Effect estimates were calculated by performing a logistic regression including the first two principal components and the markers identified in the stepwise regression as covariates28.

Moreover these operators are calculated by performing boundary integrations of regular kernels only.

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