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The phrase "applies to the difference" is correct and usable in written English.
It can be used when discussing how a particular rule, concept, or condition is relevant to a specific difference or distinction being made.
Example: "The new policy applies to the difference in salary between full-time and part-time employees."
Alternatives: "is relevant to the difference" or "pertains to the difference".
Exact(4)
The same applies to the difference between emission distance and reception distance.
The rules are tricky; the deduction only applies to the difference between a modification's cost and the value it adds to the property.
The same applies to the difference between groups in the proportion of patients which achieved all the five above mentioned treatment goals.
The same, incidentally, applies to the difference between Persian and the Tajik language, spoken in Tajikestan and parts of Uzbekistan.
Similar(56)
The bulk of Frege's critique of Hilbert consists of criticizing Hilbert's lack of terminological clarity, particularly as this applies to the differences between sentences and various collections of thoughts.
This was the context in which the word "nothing," applied to the difference that some Minnesotan bird-lovers were trying to make, so upset me.
Pair-wise comparisons between the T1 image and each of the T2 images required the pixel values to be sorted, ranked, and differenced; a threshold was then applied to the difference values to identify the stand replacing disturbances.
Then, according to Step 2 in Equation 3, positive and negative threshold operations are applied to the difference image via the ConvLAMtoLLM function [13] implemented on the ACE16k chip.
The same applied to the difference between treatments.
Statistical analysis was applied to the difference between pre-baseline, 2 recitation and 5 baseline periods.
Pairwise comparison was applied to the difference between cancer tissues and adjacent tissues.
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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