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This model determines an approximation of the sweep rate, VGL, by requiring that no negative interference by a future interfering mutation occurs (see below for a quantitative comparison with our model).
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After we determine an approximation of the power of noise using Equation (20), we then are able to use Equation (22) to calculate γ.
In Tikhonov regularization we determine an approximation x α δ of the solution x as a minimizer of the Tikhonov functional J α ( x ) with a rule to choose the regularization parameter α.
Also the solution in various limits is analysed to recover firstly the solution for homogeneous dielectric particles, secondly to produce an exact solution for conducting media and thirdly to determine an accurate approximation for conducting spheres with very thin coatings, and which provides the opportunity to make use of existing conducting media theory.
These "resonant" terms often dominate the perturbations of the asteroid motion so much that all the higher-frequency terms can be neglected in determining a first approximation to the perturbed motion.
Using Maple we determine a Taylor approximation for the function B ( x ) by the polynomial of fourth order: P 2 ( x ) = 43 8 − 191 128 x 2 − 609 1, 024 x 4, which has a bound of the absolute error of ε 2 = 9, 511 1, 024 − 5 2. for values x ∈ [ 0, 1 ].
In this 'scaling limit', we can also determine a good approximation for the dynamics of the total cell population.
Therefore, the asymptotic covariance matrix cannot be determined and an approximation has to be found.
The interfacial defect density (D it ) is determined using an approximation method given by W. A. Hill and C. C. Coleman [16].
We have determined experimentally an approximation of the central human proteome that is suitable for analyzing its global properties.
For each of the models, we first perform Step 1 (i.e., run CS on the (y, g) data) with a value of n that is very close to p. For such a large sample size Step 1 of the algorithm always works with high precision, and determines a best-fit linear approximation (hyperplane) to the data.
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