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The phrase "a difference caused" is correct and usable in written English.
It can be used when discussing the result of an action or event that leads to a change or distinction in a particular context.
Example: "The study revealed a difference caused by the new teaching methods implemented in the classroom."
Alternatives: "a change brought about" or "a distinction resulting from".
Exact(7)
So in this case, changing the environment eliminates a difference caused by a gene.
In that case, changing the environment can eliminate a difference caused by a gene.
In other cases, changing a gene can eliminate a difference caused by the environment.
If this is the case, the distinct underground measurements provided by the nodes at different burial depths are actually related to the burial depth effects and not a difference caused by their receiver sensitivities.
In our experience, we therefore agree with Haussman et al. (In press) that Telometric creates a longer TRF estimate than does ImageJ, but this appears not unlike a difference caused by a simple scaling factor and only has importance when the exact length of telomeres are considered (e.g., in comparative analysis across taxa).
However, we did observe a difference between these two rat groups above the age of 50 days, a difference caused by the decline of Cldn1 mRNA expression in DP-BB rats.
Similar(53)
I suspected that somewhere between the two there was a difference causing my problem – and I needed to work out precisely where it was.
But when a reverse bias was applied, a significant difference caused by presence of the clathrochelate was observed.
A transport equation for calculating an exact flux difference caused by a perturbation is solved.
Electrical distance is the electric potential difference caused by a unit of current transmitted from node i to node j, namely, is equivalent impedance between two nodes.
I fully realize that often these problems run deeper, but if they don't and it's just a physical difference causing the problem, Google the problem together.
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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