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The integral can be approximated using the Laplace approximation, see (31– 31).
The gradient term ∇ a E, for example, can then be approximated using the central difference approximation as ∇ aE ≈ E ( Φ a, b, h, θ ) − E ( Φ a − ϵ, b, h, θ ) 2 ϵ. (16).
Note that this functional form is a good approximation to the fitness function as long as expression levels are roughly log-normally distributed and as long as the integral of expression levels and fitness function can be approximated using the standard Laplace approximation, that is, expanding the logarithm of fitness to second order around its maximum.
(R_{s_{u_{[k]}},n,2}^{k,text {SC}}) can then be approximated using the first order Taylor approximation at a feasible point (overline {P_{s_{u_{[k]}},n}^{k}}), in order to have a convex optimization problem.
An optimum width can be approximated using the principle of equal residuals.
An optimum cooling channel design could be approximated using the thermal performance factor as a first-step engineering design tool.
Similar(17)
The fractional time delay in the sensor to controller and controller to actuator channel is approximated using the Thiran approximation technique to design the sliding surface.
In addition, the P d for two-dimensional systems was approximated using the non-central/central approximation and provided in [18] following the results in [30].
The radius of gyration and initial scattering intensity I 0) were approximated using the Guinier equation with PRIMUS.
The displacement variables are approximated using the Ritz method.
The structural response is approximated using the same basis functions describing the geometry.
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