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The phrase "a function of the lengths of" is correct and usable in written English.
It can be used in contexts where you are describing a relationship or dependency between a variable and the lengths of something, often in mathematical or scientific discussions.
Example: "The area of the rectangle is a function of the lengths of its sides."
Alternatives: "dependent on the lengths of" or "determined by the lengths of".
Exact(1)
Comparison of the pairwise PSC processing with respect to the protein lengths, as shown in Figure 2, reveals some interesting facts: the time required for completing a pairwise PSC task is clearly a function of the lengths of the proteins forming the pair.
Similar(59)
Severity of the phenotype was also a function of the length of exposure.
Therefore, the separation distance is a function of tether length.
The force is plotted as a function of muscle length.
George's novels can feel loose and sprawling – a function of their length, perhaps – but this is a blind.
Plot of pH sensitivity as a function of channel length.
Plot of channel current as a function of channel length.
Table 3 Comparison of code lengths as a function of sequence length.
This ratio increased as a function of step-length (step-length 1: 3.06, step-length 2: 3.51, step-length 3: 4.51, step-length 4: 4.47).
N as a function of homopolymer run length (fig. 2).
Prepare the lengths of yarn.
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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