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SM I was 18.
SM: I can do profundity.
SM: I think I prefer writing the most right now.
SM: I thought it was very nice.
SM: I think it's extremely important.
SM I think the crux is the word "honest".
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Differences between normalized features of post-NS and post-SC were assessed using SnPM (SM-I).
The SM-I dataset was also screened for the occurrence of repetitive elements.
By the same method, we can easily see that φ ˜ ⪯ λ ˜ holds in the other seven cases: [ φ ∈ C sm + ( I ), ψ ∈ C sm + ( I ), λ ∈ C sm − ( I ) ], …, [ φ ∈ C sm − ( I ), ψ ∈ C sm − ( I ), λ ∈ C sm − ( I ) ]. Therefore ⪯ satisfies the transitive law.
By the same method, we can easily see that φ ˜ = ψ ˜ holds in the other three cases: [ φ ∈ C sm + ( I ), ψ ∈ C sm − ( I ) ], [ φ ∈ C sm − ( I ), ψ ∈ C sm + ( I ) ] and [ φ, ψ ∈ C sm − ( I ) ]. Therefore ⪯ satisfies the symmetry law.
Then − φ, ψ ∈ C sm + ( I ) and ∘ ψ − 1 is increasing and concave on ψ ( I ).
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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