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The phrase "a given number for" is correct and usable in written English.
It can be used when referring to a specific number that has been assigned or designated for a particular purpose or context.
Example: "In the equation, we will use a given number for the variable to simplify our calculations."
Alternatives: "a specified number for" or "a designated number for".
Exact(1)
These measurements revealed that selection for EBV plasmids yields cells with widely varying numbers of plasmids, but that there is a heritable, mean optimum for a given number for each clone.
Similar(59)
We present an explicit formula for obtaining the number of clusters for a given cluster size and the cluster size for a given number of clusters for a specific power.
This behaviour is expected since, for a given number of mutations, for larger λ there are more accepted nonsynonymous substitutions, which results in loss of sequence signal.
For a given number of modes the values for G and λ can be acquired by a dynamic frequency sweep test (DFST).
The cohort design maximizes statistical power for a given number of cases and accounts for lost to follow-up by migration or death.
Evaluation Option evaluates a given number of random combinations, for each attribute count specified.
Customers are charged either a per label fee or a flat fee for a given number of shipments.
Table 1 The number of nonisomorphic graphs for a given number of MBS Zones with different edges.
For a given number of MS per cell, a spatial outage probability can also be defined.
The sum rate is evaluated using Equation 10 for a given number of mobile terminals.
The main advantage of these methods lies in their accuracy for a given number of unknowns.
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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