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The phrase "assignments between" is correct and usable in written English.
It can be used when referring to tasks or responsibilities that are distributed or shared among different parties or entities.
Example: "The assignments between the team members were clearly defined to ensure everyone knew their responsibilities."
Alternatives: "tasks among" or "responsibilities shared between".
Exact(54)
In each permutation, assignments between genes assigned to each single, medium-sized GO category, were randomized.
The Pentagon is also reviewing the balance of assignments between active-duty forces and the National Guard and Reserve.
The Lottery had previously divided creative assignments between Mortenson Safar Kim and Boyden & Youngblutt, Fort Wayne, Ind.
Wek is now able to choose her assignments (between studying design, working on a handbag collection, and writing), but still loves the business.
He keeps his two universes parallel by painting during peacetime assignments between combat tours, leaving his brushes at home in Arlington, Va., when he's in the field.
She attributed the shifts to a desire to "better balance" assignments between the company's two primary global agencies, Bates and J. Walter Thompson in New York, part of the WPP Group, as well as to recognize "the quality work" by Bates for other Pfizer consumer health care brands like Benadryl and Sudafed.
Similar(6)
But Penney has not divided the general market creative assignment between agencies for at least two decades.
We use m x,y) to indicate if there is an assignment between x and y. "0" means no assignment.
The paper presents the method of airlines free-assignment between flight and slot with collaborative decision-making mechanism.
A network-topology method (Temporal Spatial Expansion) captures differences in traffic assignment between waterway and highway networks.
Decisions include locating a number of factories among a finite set of potential sites and allocating task assignment between factories and marketplaces to maximize profit.
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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