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'determined by order' is correct and is usable in written English.
It is usually used to describe how a process has been set up for how something is to be done. For example, "The seating arrangements for the dinner party were determined by order of arrival."
Exact(2)
The original said the Duke of York would drop to seventh in line to the throne when succession was determined by order of birth.
The heat transfer length scale λ ht is difficult to be calculated directly, but may be determined by order analysis and merged into the constant C. The exponents a and b are empirical constants that represent the effect of nanoparticle coagulation and of nanoparticle heat dissipation, respectively.
Similar(58)
In the first case, most processing firms in China hardly manage their profit levels because their only added value, processing fees, is determined by ordering organizations outside of China.
Rankings listed in the tables were determined by ordering 2006 values, except in the two instances where the 2006 data were not reported.
Rankings were determined by ordering the 2006 values, where the average of the three previous years was used as a substitute for 2006 values when the actual 2006 data was unavailable.
He explained that this is determined by society in order that it can function smoothly and that people can lead prosperous and happy lives.
end{aligned} (3.32) We remark that the order of convergence is determined by the order of convergence of the first singular function.
The order of succession will in future be determined by the order of birth.
The order of participants in the list is determined by the order in which the guardian receives the requests for association.
DOI: http://dx.doi.org/10.7554/eLife.03640.001 Amino acids are the building blocks of proteins, and the order of the amino acids in a protein is determined by the order in which 'codons' appear in a messenger RNA molecule.
The order of the color changes for a given node is determined by the order of the graphs used to generate the animation.
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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