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The phrase "across the interaction" is correct and usable in written English.
It can be used to describe something that occurs or is relevant during the course of an interaction between individuals or groups.
Example: "We need to ensure that feedback is collected across the interaction to improve our communication strategies."
Alternatives: "throughout the interaction" or "during the interaction".
Exact(3)
"We can target that information across the interaction people have with our brands," she said.
This results in a curved trajectory of the lower-energy electron beam across the interaction point, and therefore in a considerable transverse offset of the head and tail of the long ion bunches with respect to the (short) electron bunches.
Nevertheless, there is a large variation in the coverage of protein interaction data across the interaction databases [ 70].
Similar(57)
Like species diversity, ID has two components: number of links (richness) and homogeneity of relative interaction frequencies across the links (interaction evenness, IE).
We checked this assumption by tests of heterogeneity across trials, testing the interaction between type of bandage and trial.
However, the time trends were similar across sites and the interaction seemed of little epidemiological relevance; therefore, we present results pooled over the three sites.
Across this population, the interaction profiles are asymmetrically distributed such that neurons receive the maximum input from other neurons located toward the fovea.
Dimer integrity is maintained by electrostatic interactions between charged amino acids across the dimer interaction surface.
Over time and across space the interactions between these artefacts and the people and institutions who made, traded, collected, researched and exhibited them have generated complex networks of material and social agency.
10.7554/eLife.01071.010 Figure 2. Mutational analysis of the CPAP:STIL interaction in vitro and conservation of the interaction across species.
A more wide-reaching study might attempt to look at the nature of the interaction across multipart conversations.
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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