The phrase "a function of the area" is correct and usable in written English.
It can be used in contexts involving mathematics, science, or discussions about relationships between variables, particularly when describing how one quantity depends on the area of another.
Example: "The pressure exerted by the fluid is a function of the area of the surface in contact with it."
Alternatives: "dependent on the area" or "related to the area".
Based on a model of a square array of turbines, estimates are obtained for the reduction in the standard deviation of the power output from the turbine arrays as a function of the area of the square.
The estimated values of the mean value and the area fraction are assessed as a function of the area of the limited field of view and the measured number of sections.
The ratio between the diameter and circumference, he believed, is not a function of the area of the circle.
Figure 5 shows the scatter plot of flare energy as a function of the area of the starspot group (A spot).
Access cost between origin and destination regions is measured in terms of the minimum travel time through the (uncongested) road network, plus an access and egress time that is a function of the area of NUTS 3 regions (Eq. 2).
[5] defined the selectivity of the neuron as a function of the area under the tuning curve of the neuronal responses to S. This definition, however, assumes that the learning rule converges to a stable steady state.
Accordingly, the ultimate confined strength is gradually reduced from the fully confined value f cc to the unconfined value ( f_{c}^{{prime }} ) as a function of the compression area to section area ratio.
It was found that scale dependence of the models is a function of the study area characteristics and regression algorithms.
The volume is a function of the roof area, water use rate, climate parameters, and costs of the cistern and of the external water source.
Vertical leaf area distribution and clumping index were found to be the most important traits for light interception and, unlike the extinction coefficient, the clumping index can be expressed as a function of the leaf area.
Ensemble streamflow error statistics (MAE and RMSE) show a decreasing trend as a function of the catchment area for all satellite products, but the rainfall-to-streamflow error propagation does not show any dependence on the basin size.
