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Accordingly, utilizing the Gradient Projection for Sparse Reconstruction (GPSR) method (Figueiredo et al. 2007), we minimized the objective function J(m) to obtain the sparse estimates.
Accordingly, utilizing Proposition 2.1 (i) we deduce from the α-inverse strong monotonicity of A1 that x ̄ ∈ VI Fix ( T ), A 1. Therefore, from {x*} = VI VI(Fix(T), A1), A2), we have lim sup n → ∞ A 2 x *, x * - x n = lim k → ∞ A 2 x *, x * - x n k = A 2 x *, x * - x ̄ ≤ 0. (3.7).
Accordingly, utilizing Proposition 2.1 (i) we deduce from the α-inverse strong monotonicity of A1 that x ̄ ∈ VI ⋂ i = 1 N Fix ( T i ), A 1. Therefore, from { x * } = VI VI ⋂ i = 1 N Fix T i, A 1 A 2, we have lim sup n → ∞ A 2 x *, x * - x n = lim k → ∞ A 2 x *, x * - x n k = A 2 x *, x * - x ̄ ≤ 0. (3.15).
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Accordingly, before utilizing the aforementioned model and parameter sets shown in Figure 2 for further investigation of the underlying mechanisms, we tested and validated the model against multiple perturbation experiments.
Accordingly, we utilize process synthesis and modeling to assess the economic feasibility of direct nonoxidative methane conversion strategies.
In [7], distributed detection fusion in hierarchical WSNs was investigated in the presence of fading and noise, two fusion rules were derived accordingly, one utilized the complete fading channel state information (CSI), the other utilized the channel envelope statistics (CS).
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Accordingly, we utilize replication of cis-eQTL data from two recently published brain studies [ 7, 8] as a means to assess the integrity of sequencing data and appropriateness of data handling procedures.
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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