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The phrase "a function of the length of" is correct and usable in written English.
It is typically used in mathematical, scientific, or technical contexts to describe a relationship where one variable depends on the length of another variable.
Example: "The time it takes to complete the task is a function of the length of the document being reviewed."
Alternatives: "dependent on the length of" or "related to the length of".
Exact(60)
One could argue this is a function of the length of the campaign, or maybe just Newt's presence, but Santorum's refusal to depart the race is a factor in both of those also.
The energy gaps of the nanocontacts exhibit an oscillatory behavior as a function of the length of carbon nanotubes.
The hydraulic surface loading, a function of the length of the contact zone, seemingly determined the extension of the turbulent region.
There is no mathematical formula to calculate the captured energy as a function of the length of the integration interval for IEEE 802.15.4a channel.
Iodine complexation with linear glucan polymers in starch granules is a function of the length of the available polymers and their arrangement within starch granules.
A comparison with other algorithms is included, considering the amount of calculations as a function of the length of the sequences.
To verify accurate placement of the precordial ECG leads by identifying the 4th and 5th intercostal spaces as a function of the length of the sternum.
Then we examine the variation in the duration of the succeeding call (in seconds) as a function of the length of the inter-event time.
The numerical complexity of all candidates as a function of the length of the transmitted data sequence is illustrated in Fig. 8.
The elastic moduli of both types of chains were calculated as a function of the length of the chains, the size of the filler particles, and the temperature.
b Cut-back method result: transmittance measured at the output of the waveguide as a function of the length of the waveguide (blue circles) and a linear fit (red solid line).
More suggestions(17)
a function of the extent of
a function of the height of
a function of the distance of
a function of the wavelength of
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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