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Within weeks, the threat to eastern Libya was minimized, giving the rebel movement breathing space to gain cohesion and battlefield experience and eventually defeat Colonel Qaddafi's small and increasingly unpopular army.
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Conversely, (7) is minimized given (tilde {boldsymbol {sigma }}^{mathbf {2}}), yielding the following estimate for h: begin{array}rcl@ hat{mathbf{h}} tilde{boldsymbol{sigma}}^{mathbf{2}})=left(mathbf{F}^{H}mathbf{D}^{-1} left tilde{boldsymbol{sigma}}^{mathbf{2}}right)mathbf{F}right)^{-1}mathbf{F}^{H}mathbf{D}^{-1} left tilde{boldsymbol{sigma}}^{mathbf{2}}right bar{mathbf{y}}.
We assume that the investigator is interested in the number of replicates, n, per subject, so that the variance of the estimate of θ is minimized, given that the total number of measurements is fixed a priori at N = nk.
The pin fin's volume is minimized for given heat flux value.
Despite the fact that a minimized AvgLive gives smaller register usage, it does not necessarily provide the lowest.
In the case of the recursive least squares algorithm, the deterministic objective function to be minimized is given by (15).
Using the expectation maximization (EM) algorithm, the auxiliary function to be minimized is given as follows: Q ( V ( s ) ) = 1 2 ∑ t ∑ m γ m ( t ) o ( s, t ) - μ m ( s ) T × Σ m - 1 o ( s, t ) - μ m ( s ), (3).
The quantity to be minimized is given by ∑ i α P α ε i α 2, subject to the constraints ∑ α P α ε i α = 0, for each i.
The side effects are minimized if given with or after food.
Rietveld refinement starting from the energy-minimized structure gave a slightly different structure, the energy minimization of which yielded yet another slightly different structure.
The NN controller is trained so that an estimation of the control error several steps ahead is minimized, which are given by a properly designed NN called predictor.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com