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As can be seen in the next section, I find the estimates really robust.
Thus, ESPRIT can be applied to find the estimates of the source DOAs.
We find the estimates of (beta ) to be significantly different from unity (at a 5%% critical value) in 5 out of 17 regions.
This re-structuring warrants that the signal sub-spaces associated with these two subarrays are related by a matrix solely determined by θ k, k = 1, …, K, which is then exploited to find the estimates of θ k, k = 1, …, K.
To find the estimates of the DOAs as the maximum of their objective functions over all the grid points, these two classical estimators require in total as much as 1002×3532=35.32×106 and 1002×9442=94.42×106 operations against just 2484 operations with the proposed estimator.
To find the estimates for model parameters, we used a simplified algorithm and estimate of ω 0. At first, the frequencies ω 1, ω 2, and ω 3 were estimated by finding the first three maximum values of the discrete form of integral (int_{0}^{{tau_{ hbox{max} } }} {C tau )cos left( {omega tau } right){text{d}}tau }) calculated with frequency step Δω = 0.001.
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So of 320,000 foreigners believed to be still in the country after evading deportation orders, agents were instructed to find the estimated 6,000 from nations where terrorists of Al Qaeda were thought to be present.
Now we find the estimate leading to the boundedness of the sequence, (3.28).
The predicted location and relative speed results are used to find the estimate for residual lifetime.
Find the estimated distance R travelled by Node D in time Δt (3).
In the next process, we find the estimated FDR as: {FDR}_{estimated}=frac{X_{estimated}}{X_{actual}} (38).
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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