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The phrase "assigned depending on" is correct and usable in written English.
It can be used when discussing how tasks, roles, or responsibilities are allocated based on certain criteria or conditions.
Example: "The tasks will be assigned depending on each team member's expertise and availability."
Alternatives: "allocated based on" or "designated according to".
Exact(22)
For each gene in each genome, one of the states 0, 1 or m is assigned, depending on whether there are 0, 1 or multiple copies (in-paralogs) of the gene in this genome.
The B29 had been assigned, depending on the weather, to drop the world's first atomic bomb on either Kokura, Nagasaki or Hiroshima.
The extracted bit is assigned depending on the j of the minimum distance (hat{{b}}_{i} ) value.
Calls are passed to a despatch operator for deployment if required and police resources are assigned depending on the type of incident, the site says.
In that case Hirshleifer and Riley (1992) emphasize that risk is a situation in which subjective probabilities to hazard events are assigned depending on the stakeholder's expectation.
To the remaining Siegenian and Lochkovian formations for which hydraulic data is unavailable, estimates of hydraulic conductivity are assigned depending on their individual lithological composition.
Similar(38)
The truth conditions assigned depend on the structure of the derivation containing the occurrence of the formula.
In OPMPD approach, the optimal position of the CN to be assigned depends on not only the geometry of the PT and the GN but also the location of the CN already deployed since each CN is placed in sequence.
Moreover, the main interest of the present study was in the type of stress participants would assign depending on whether reading was lexically or sub-lexically driven, and in the conditions under which stress errors were committed.
There are also 10 buttons above the trackpad that change their assigned functions depending on the game.
He explains to me how prisons are divided into categories – A is for the worst offenders, D is an open establishment; Harry spent most of his time at Wealstun, a cat-C prison – and inmates, too, are assigned ranks depending on how well they behave.
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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