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has at least one solution for all l ∈ R. The next result is an elementary estimation of the function u ∈ W N − 2. Lemma 2.4 Let u ∈ W N − 2. Then max k ∈ [ 1, N ] Z u k − min k ∈ [ 1, N ] Z u k ≤ ( N − 2 ) ∥ Δ u ∥ ∞. (2.13).
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The need to develop elementary reaction mechanisms for the heterogeneous kinetics and the importance of accurate estimation of effective surface are is stressed.
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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