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The phrase "assumes uniform" is correct and usable in written English.
It can be used in contexts where a certain condition or characteristic is being taken for granted as being consistent or the same across a particular scenario.
Example: "The model assumes uniform distribution of resources among all participants in the study."
Alternatives: "presumes consistency" or "takes uniformity for granted."
Exact(34)
Second, it assumes uniform growth in consumption, but growth rates in the poorest countries, particularly in sub-Saharan Africa, are slower.
This model assumes uniform mean core flow.
Model U, which is identical to the Reference Model, assumes uniform seismic potential.
A Kalman filter [30, 31], which assumes uniform straight-line motion, is used for prediction.
However, the original form of CPDA assumes uniform (or non-informative) prior and then does not incorporate practical prior knowledge.
The approach assumes uniform corrosion of individual Fe0 particles and utilizes the radius loss (X = R0 − R) to asses the extent of porosity loss in the whole system.
Similar(26)
The former model assumed uniform bed material.
The battery is assumed uniform throughout.
Current modelling approaches assume uniform rate parameters throughout the column.
Until now, we assumed uniform power allocation for all users.
I thus assume uniform productivity without loss of generality.
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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