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The phrase "a function of period" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or any field where periodic functions are discussed, indicating that a certain quantity depends on the period of a cycle.
Example: "The wave's amplitude is a function of period, affecting how it interacts with other waves."
Alternatives: "dependent on the period" or "related to the period".
Exact(19)
(a) Shows the amplitude for the gST and (b) the amplitude for the global-mean precipitation as a function of period as calculated by the feedback model (equation (1)).
The elastic drift spectrum displays, as a function of period, the story drift (expressed as the ratio of the story drift to story height) that a ground motion record would cause in a multistory framed building.
It is known that the rise time is azimuth independent and not a function of period.
Time shift due to waveform distortion by the reverberation was estimated as a function of period.
C is also a function of period, as in Eq. (2).
The number of phase velocity measurements in the present study as a function of period, between 30 and 140 s (a).
Similar(41)
Thus, adverse effects of DES are a function of the period of DES treatment and most severe in the P0 P10 period.
This gives the speed of a wave as a function of its period, and shows the possibility of a wide range of wave periods that could be selected.
b The network period as a function of intrinsic periods corresponding to the same maps.
Nano-indentation hardness as a function of bilayer period has been measured for sputter-deposited Cu Nb multilayers.
A new pattern is proposed that is a function of the period of the structure and the target ductility.
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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