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To do so, instantaneous transition rates among states must first be estimated by finding the set of parameter values that maximizes the overall likelihood of the data, given a phylogenetic tree with branch lengths and a distribution of observed values at the tips3.
Then the coefficients of the reduced-dimensional Capon (RD-Capon) spectrum are exploited to design a weight matrix for reweighting l1 norm constraint minimization to enhance the sparsity of the solution, and the DOA can be estimated by finding the non-zero rows in the recovered matrix.
Hence, the MU position of the localizing wireless node can be estimated by finding satisfying (6).
Hence, the MS position can be estimated by finding that satisfies (19).
As a result, the time delay sample can be estimated by finding the maximum peak of the ES-GCC function as (9).
By linearizing around the leading edge of the wave, they also showed how the minimal wave speed of the pulsating front could be estimated by finding solutions of a corresponding Hill equation [12].
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The optimum smoothness parameters were estimated by finding the minimum value of ABIC.
The columns of the mixing matrix are estimated by finding picks in a 2D histogram of amplitude-delay estimates.
The DCP is estimated by finding the minimum value among the R, G, and B pixels, and it is used to estimate the transmission map of the non-haze region.
The phases θ 1, θ 2, and θ 3 were estimated by finding the maximum ∫CJ 0(ω k τ + θ k )dτ by varying θ k separately for k = 1, 2, and 3.
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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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