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Thus, the optimization problem can be defined as max P r ( 0 ), …, P r ( N - 1 ) I ( P r ( 0 ), …, P r ( N - 1 ) ) s.t.
Thus, the throughput maximization problem can be defined as max R = ∑ k = 1 K log 2 1 + ∑ n = 1 N x n k γ n k s. t. ∑ k = 1 K x n k = 1 and x n k ≥ 0, ∀ n, k (3).
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An MOILP problem with s-objectives is defined as: max C 1 W, C 2 W, ⋯, C s W s. t.
RIVI is defined as (max velocity – min velocity)/max velocity.
Thus, the stability of each cluster is defined as max d/min d.
Definition 10 The width of a tree decomposition (T, X ) is defined as max (| X t ∈ V t | ) − 1.
The width of a tree decomposition (T, X ) is defined as max (| X t ∈ V t | ) − 1.
Thus, the steepest positive slope for a given gene was defined as max i v i and the steepest negative slope was defined as max i (− v i ), where i = 1,2,..., n-1, n is the number of time points, v is the slope between time point i and i+1.
The maximum expression for a given gene was defined as max i m e d r x i g r and the minimum expression was defined as min i m e d r x i g r, where i = 1,2,..., n, n is the number of time points, r = 1,2,..., R, R is the number of replicates, x igr is the expression at time point i for gene g and replicate r.
Carotid atherosclerosis was defined as max-IMT ≥1.1 mm according to the criteria of the Japan Academy of Neurosonology (9).
Formally, the 0-1 MDKproblememayay be defined as follows: max quad z = sumlimits_{{mathrm{j}} = 1}^{n} {{p_{j}}{x_{j}}} (6).
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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