The phrase "a function of spatially" is not correct as it stands and may be confusing in written English.
It could be used in contexts discussing spatial functions or relationships, but it needs to be part of a more complete and coherent phrase.
Example: "The analysis revealed that the distribution of species is a function of spatially varying environmental factors."
Alternatives: "dependent on spatial factors" or "related to spatial dimensions".
In the proposed nonlocal formulation, the softening yield limit is a function of the spatially averaged nonlocal strains rather than the local strains, while the elastic strains are local.
We note that LM is dependent upon the detection system employed for measuring the LSPR shifts of single nanoparticles because of the dependence on the peak measurement uncertainty U. LM is also a function of the spatially dependent RI sensitivity S r) of the nanoparticle, where r is the location of the bound molecule with respect to the surface of the nanorod.
For practical measurement situations a further analytical function was derived which gives this intensity error as a function of the difference between the measured (spatially averaged) pressure and intensity levels.
Finally, one could postulate that positional information is encoded spatially, as a function of egg length, but that this encoding is not affected by cytoplasmic movements, if for instance positional information is encoded in either the perivitelline space or the plasma membrane, and then transmitted to the nuclei via signaling, as proposed for the establishment of the Dorsal gradient [21].
We therefore conclude that mRNA stability is not controlled spatially as a function of distance to Xic.
The chemical composition of the soot was determined using a novel aerosol mass spectrometric technique, photoionization aerosol mass spectrometry (PIAMS), spatially resolved as a function of height above the burner surface (HAB).
Our simulator can account for variable injection/production profiles as a function of certain inputs as well as for a range of spatially varying initial conditions (heterogeneities, discontinuities).
Published literature indicates that the importance of topography in regulating moraine distribution varies spatially, temporally, and as a function of the ice mass type responsible for moraine deposition.
Vadose-zone nitrate concentrations vary spatially and temporally as a function of multiple factors including soil properties, land use, and climate.
