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The phrase "as a function of time with" is correct and usable in written English.
It is typically used in scientific or mathematical contexts to describe how a variable changes over time, often in relation to another variable.
Example: "The temperature of the substance varied as a function of time with the increase in pressure."
Alternatives: "in relation to time" or "over time with".
Exact(34)
Each plot show amplitude as a function of time, with 9 minutes of record displayed in each figure.
Average hydrodynamic radius is plotted as a function of time with transparent shading around each trace representing the standard error of the mean from three independent experiments.
The oxygen permeability was measured as a function of time with the carrier gas method using a ceramic (ZrO2) detector.
Fig. 2: Mean SAMP (PHA) as a function of time, with data from different wavelengths offset vertically in steps of 10.
Satellite Laser Ranging (SLR) is a standard technique to measure the distance of satellites as a function of time with millimeter precision and a few millimeters accuracy.
The temperature variations during the conversion of an oxygen carrier particle exposed to high intensity solar heat flux are assessed as a function of time with an unsteady-state model.
Similar(26)
LIGO's sensitivity as a function of time, compared with design sensitivity and the design of Advanced LIGO.
Parasitemia (percentage of total erythrocytes infected with parasites) as a function of time was fit with an exponential growth equation.
The precision of the models as a function of time is verified with finite-element modeling.
Fig. 5 OSEE signal as a function of time in contact with the laccase mixture suspension.
The displacements were colored as a function of time and overlaid with the cell outline (green).
More suggestions(15)
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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