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The phrase "as a function of the size" is correct and usable in written English.
It is typically used in mathematical, scientific, or technical contexts to describe how one variable changes in relation to the size of another variable.
Example: "The efficiency of the engine varies as a function of the size of the fuel injectors."
Alternatives: "in relation to the size" or "depending on the size".
Exact(59)
However, when plotted against the size of the CMV-specific CD4 T-cell response, it became obvious that all of these functional subsets tend to increase as a function of the size of that response (Fig. 3B).
Scalability is evaluated by measuring space requirements and the computational time as a function of the size of the system.
The extent of de-mixing is evaluated as a function of the size ratio of the mixture components.
No significant trend was found for the dispersion coefficient as a function of the size of the MHPM.
Detailed analysis of naphthalenes, dibenzothiophenes, phenanthrenes, and pyrenes showed a clear decrease of their degradation rate as a function of the size of the PAH molecules.
The number of internal mechanisms and states of self-stress of the finite pin-jointed structure are calculated as a function of the size of the structure.
To this end, it can become very useful to analyze the actuator performance as a function of the size, design parameters and physical limitations.
The specific and volumetric capacities of the cell as a function of the size, length/size ratio, spacing of the nanostructure, and Li+ concentration in electrolyte were investigated.
In this model, the isotropic and kinematic stress components have been derived as a function of the size and volume fraction of γ′ precipitates.
During ship design, welding-induced distortions are roughly estimated as a function of the size of the component as well as the welding process and residual stresses are assumed to be locally in the range of the yield stress.
Data collected from simulations of four reactor problems using OpenMC was then used in conjunction with the models to calculate the speedup due to vectorization as a function of the size of the particle bank and the vector width.
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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