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The phrase "are generated at random" is correct and usable in written English.
It can be used when describing a process or method where outcomes or items are produced without a specific pattern or predictability.
Example: "The numbers for the lottery are generated at random to ensure fairness in the selection process."
Alternatives: "are produced randomly" or "are created at random".
Exact(16)
Current generation high-throughput sequencers require a library of amplicons from which reads are generated at random by a variety of different methods, including pyrosequencing [2], reversible chain-terminator extension [3], and ligation [4].
For this purpose, various problem sizes are generated at random and then a robust calibration is applied to the parameters using the Taguchi method.
Each user's requirements are generated at random from the thresholded normal distribution defined by their individual PDS i function.
However, in data transmission networks, where data are generated at random time instances, random access schemes are used to efficiently exploit channel resources.
Finally, using the receptor editing process, a pre-specified number of antibodies with low affinity values are replaced with the new ones, which are generated at random.
If the packets are generated at random times, there is a trade-off between packet delay and energy consumption: if nodes hold on to the packet longer, more packets will likely to be aggregated, but packet delay will increase.
Similar(44)
An initial population of parent solutions is generated at random.
For this purpose, forty problems with different sizes have been generated at random and then a robust calibration is applied using the relative percentage deviation (RPD) method.
Nearly all mutant clones in each library contained unique mutations, indicating that mutants in the library were generated at random.
A solution is generated at random initially which is updated by neighborhood procedure.
The answer, which has long been recognized, is that directional changes can continue to accumulate so long as new variation is generated at random around the distribution in each case after the elimination of some portion of the population.
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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