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The phrase "applicable to all branches" is correct and usable in written English
It can be used when discussing rules, policies, or concepts that are relevant across different areas or divisions of a subject or organization. Example: "The new policy is applicable to all branches of the company, ensuring consistency in our operations."
Exact(4)
The Uniform Code of Military Justice, which is applicable to all branches of the military, contains comparable language.
It is rather to be thought of as an approach which is applicable to all branches of Chemistry.
The bill would put the language above into all of the sections of Title 10 regarding chaplains, making it applicable to all branches of the military as well as the service academies.
Achieving this goal in a statistically meaningful way requires (a) a measure of distinctness of a branch and (b) a test to determine the significance of the observed measure, applicable to all branches and across multiple scales of dissimilarity.
Similar(56)
Winkler, H. & Rajamani, L. CBDR & RC in a regime applicable to all.
I ask Congress to pass a federal right-to-work law applicable to all the states.
From there, ADHD rapidly transitioned from a disorder of children to an affliction applicable to all.
Not all of these suggestions are applicable to every situation, of course.
We present a branch-and-cut algorithm applicable to all formulations.
It is applicable to all trees with low bootstrap support on the basal branching pattern.
Conditions applicable to all permits.
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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