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Finally, although an optimal solution is not mandatory, it is desirable to compute "good-enough" solutions.
In these cases and others, it may be desirable to compute derivatives numerically rather than analytically.
For example, in geophysical fluid dynamics, it is frequently desirable to compute directional integrals such as vertical integrals and zonal averages; however, it is difficult to compute these on meshes with no inherent spatial structure.
Among other criteria, it may also be desirable to compute a compact flux consistent model, where the number of added universal reactions is minimal.
Thus, it would be desirable to compute P-values to estimate the significance of the non-zero coefficients and control false discovery rate.
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In many applications it is desirable to be able to compute estimates of the norm of the error in the approximate solutions generated and terminate the iterations when the estimates are sufficiently small.
For intensity modulated carbon ion therapy (IMCT), it is desirable to use Monte Carlo (MC) methods to compute the properties of each pencil beam spot for treatment planning, because of their accuracy in modeling physics processes and estimating biological effects.
Furthermore, when many datasets are considered simultaneously, it is desirable to have a fast and stable algorithm to compute FDR estimate.
The main problem of GRAPPA-TP is of course the accuracy and running time of its distance estimator, and a fast and exact method to compute transposition distance is always desirable.
Therefore, a way to implement Bayesian models that is faster to compute than the MCMC methods is desirable.
So, to keep system performance near its optimum, it is desirable to track the operating conditions and use updated parameters to compute control gains.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com