The phrase "a function of its length" is correct and usable in written English.
It can be used in contexts where you are discussing how a particular outcome or characteristic is influenced by the length of an object or variable.
Example: "The efficiency of the cable is a function of its length, with longer cables experiencing more signal loss."
Alternatives: "dependent on its length" or "determined by its length".
At the center of the channel, Re number was evaluated as a function of its length.
Every power line has a resistance and reactive per kilometer related to its design and construction, so its total impedance will be a function of its length or distance.
We first analyzed the low pass characteristics of the polymeric anchor as a function of its length and identified the optimum filter characteristics for its applications in bond rupture investigations.
We do this by first detecting communities on the simplicial complex and then quantifying how many communities a cycle traverses as a function of its length.
Each branch within the airway tree is modeled assuming laminar flow in a compliant walled tube and hence requires a distinct flow resistance and inertance partitioned via a shunt airway wall compliance with each parameter for an airway branch a function of its length, diameter and wall material properties (Eq. 13).
In this description, the conductance of a single-molecule decays exponentially as a function of its length, and this has been indeed confirmed for prototypical molecular backbones like non-conjugated alkane chains[1, 2] and π-conjugated molecular wires[3, 4].
The stiffness of an archwire is a function of its diameter, length and the alloy it is made from.
During each annual time step, an individual's potential somatic and gonadal growth is a function of its current length and genetically determined growth parameters (K and Lmax).
Lafferentz, L. et al. Conductance of a single conjugated polymer as a continuous function of its length.
Each individual is characterized by a PMRN that describes it genetic predisposition to mature as a function of its age and length.
We show that the number of native-like structures for a polypeptide is, in general, an exponential function of its sequence length.
