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Exact(47)
Additionally assume that ∇ k f ( a ) = 0, for k = p, …, m − 1.
Corollary 4.2 According to Theorem 4.1, additionally assume that φ ( x, x ) ≥ 0 for all x ∈ X.
Since β k → β, we may additionally assume that β k ⩽ β + ε.
Additionally, assume that (4.12).
Additionally, assume that, at least, one of the following eight conditions holds.
(B) There exists φ ∈ Φ such that G ( T x, T x, T y ) ≤ φ ( G ( g x, g x, g y ) ). for all x, y ∈ X for which ( g x, g y ) ∈ M. (B′) The subset ℳ is ( T, g ) -compatible and there exists φ ∈ Ψ such that G ( T x, T x, T y ) ≤ φ ( G ( g x, g x, g y ) ). for all x, y ∈ X for which ( g x, g y ) ∈ M. Additionally, assume that, at least, one of the following eight conditions holds.
Similar(13)
It is additionally assumed that the stations are distant enough, so the earthing impedance matrix is diagonal.
Additionally, assuming that τ="βHU, where H is the nozzle-to-plate distance and U is the mean jet velocity, it is shown that βDisc= 1.8, βCCC= 1.03, and βEnv= 1.0.
Our correction additionally assumes that clinic-level variation in Campylobacter incidence is entirely due to ascertainment differences rather than differences in true incidence.
Estimates were also made by additionally assuming that even the mortalities owing to other causes of death were all equal to those in the highest category.
For estimating intervention effects, we additionally assumed that the true causal mechanism can be represented by a Directed Acyclic Graph, i.e. we assumed that there are no feedback loops.
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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