The phrase "a function of underlying" is correct and usable in written English.
It can be used in contexts where you are discussing the relationship between a function and its underlying factors or variables.
Example: "The results of the experiment were a function of underlying environmental conditions that were not initially considered."
Alternatives: "a result of foundational" or "a consequence of basic".
Since flood routing is primarily a function of underlying topography, communication of digital elevation model (DEM) uncertainty should accompany such modelling efforts.
And oil demand, in general, will likely be at least in part a function of underlying economic growth, which many observers increasingly expect to slow down if not swing into reverse by 2020.
Within the cognitive linguistics tradition, polysemy has often been viewed as a function of underlying entries in semantic memory: word forms have distinct, albeit related, lexical entries, which thereby give rise to polysemous word senses in language use (e.g., Evans, 2004; Tyler and Evans, 2001, 2003).
However, violence could also be interpreted as a function of underlying psychological difficulties.
On the other hand, sleep is a function of underlying homeostatic drive controlled by endogenous circadian oscillators.
As much as propagation of IED might depend on the lobe of origin, it may also be a function of underlying pathology.
As would be expected, the distribution of percent increases in O3-related mortality shows the same geographic pattern, although the absolute numbers of O3-related deaths (Table 1) are a strong function of underlying county populations.
The performance of any location management scheme is a function of the underlying database architecture and the location management algorithms.
Our calculations are then used to parameterize the jump rate of Re atoms in W as a function of the underlying stress state.
A cell-centred arbitrary crack propagation model is adopted to explore the strength and failure distribution of PCD as a function of the underlying microstructure.
An experimental design was used to test whether self-reported, psychophysiological and symptomatic stress-responses increase as a function of the underlying vulnerability to psychosis as proposed by vulnerability-stress-models.
