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The phrase "assigned to each unit" is correct and usable in written English.
It can be used when referring to tasks, responsibilities, or resources that are designated for individual units within a larger system or organization.
Example: "Each task is assigned to each unit to ensure that all responsibilities are clearly defined."
Alternatives: "allocated to each unit" or "designated for each unit".
Exact(8)
Since incorporation, maintenance fees were assigned to each unit in part according to shares and in part according to a "different formula".
Adding to the expense in co-op buildings, where monthly charges are calculated by the number of shares in the co-op corporation assigned to each unit, Mr. Willkie said, is that, "Frequently when shares were established, greater numbers of them were allocated to the professional space, so the maintenance is often higher than it is for comparable space on higher floors".
We used a randomized complete block design of four pine stands (blocks) divided into five experimental units and with treatments randomly assigned to each unit.
At NYGH, training was conducted by a group of nurse clinicians assigned to each unit.
The meaning units were condensed and codes were assigned to each unit.
Costs were then assigned to each unit of resource to estimate total costs.
Similar(51)
The weights assigned to each control unit are chosen to minimise the differences in pre-treatment trends and other predictors between the treated unit and the synthetic control group.
System reliability and maintainability are specified, and values are then assigned to each separate unit.
Then, a fertilizer response score was assigned to each soil unit in the eight climatic zones.
Representative values of the frictional and cohesive components of soil shear strength were assigned to each geologic unit.
The required input parameters that need to be assigned to each geological unit are the thermal conductivity, the radiogenic heat production and the density.
More suggestions(15)
assigned to each fracture
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assigned to each sub-area
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assigned to each subchannel
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assigned to each bucket
assigned to each feature
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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