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In this article we begin by generalizing (1) to the case where (Omega ) is an arbitrary half-space of (mathbb {H}^n).
Antibody values under the detection limit for each serotype were given an arbitrary value, half of the detection limit.
The number twelve is only half arbitrary — it makes for a good two-to-three hour prime-time television event on ESPN.
Titres below the cut-off were assigned an arbitrary value of half the cut-off of the assay for the purpose of GMT calculation.
Antibody concentrations/titres below assay cut-offs were given an arbitrary value of half the cut-off.
Antibody concentrations below the assay cutoff were given an arbitrary value of half the cutoff for the GMC calculation.
Antibody titers below the cut-off of the assay were given an arbitrary value of half the cut-off for the purpose of GMT calculation.
Antibody titers below the cut-off of the assay (1 8) were given an arbitrary value of half the cut-off for the purpose of GMT calculation.
Antibody titers/concentrations below the cut-off of the assay were given an arbitrary value of half the cut-off for the purpose of GMT/GMC calculation.
Antibody concentrations below the cut-off of the assay were given an arbitrary value of half the cut-off for the purpose of GMC calculation.
Antibody titres/concentrations below the cut-off of the assay were given an arbitrary value of half the cut-off for the purpose of GMTs/GMCs calculation.
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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