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Recall the notations in (25) and (27) corresponding to the discretization of ω.
Therefore, similar to the H −1 case and following the methodology in [13], a similar summation expression is obtained for (phantom {dot {i}!}C_{H^{-1}_{zeta }}), with the denominator of the summation now corresponding to the discretization of the oriented Laplacian in the frequency domain instead of the discretization of the plain Laplacian in the frequency domain.
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Let be an matrix corresponding to the finite difference discretizations of the operator.
In that range, the deviation is due to the discretization of the contours and the subsequent smoothing.
Alternative to the discretization of continuous data is the simulation of the network dynamics by probabilistic Boolean logic.
Next, calculate the partition entropy, which is a statistical indicator of the quality of threshold t c as a discretization value for PLM l in relation to the discretization of PLM j.
Genes with a z-score equal or below zero, corresponding to the mean of the distribution of the non-expressed genes, are considered as inactive and are associated with a discretization score of −1.
The coupling of the implicit discretizations corresponding to the phase-field and the incompressible flow equations is achieved via nonlinear partitioned iterative procedure.
The 3D higher order Laplacian model is derived by taking the divergence of a particle-based gradient model [2] and is then applied for discretization of Laplacian of pressure corresponding to the Poisson Pressure Equation (PPE).
All s - 2 non-root inner nodes are assigned intermediate values corresponding to the equidistant grid that is the result of the discretization (see Figure 1).
2. We neglected the discretization of the hydrophobicities in twenty values corresponding to the amino acids.
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