The phrase "approximations to how" is correct and usable in written English.
It can be used when discussing estimates or near values related to a method or process.
Example: "The study provided several approximations to how the phenomenon occurs under varying conditions."
Alternatives: "estimates of how" or "approaches to how".
Waves and particles are both concepts that work well in everyday life, and emerge from quantum mechanics as good approximations to how things really behave, but the reality at the atomic scale is neither one nor the other.
The big question "Is it a wave or a particle?" was answered by quantum mechanics, and the answer was "No it's a quantum". Waves and particles are both concepts that work well in everyday life, and emerge from quantum mechanics as good approximations to how things really behave, but the reality at the atomic scale is neither one nor the other.
The researchers caution that the new results should be seen as a first approximation to how Himalayan glaciers will react to increasing temperatures in the region.
The spectral radius can be used as an approximation to how fast the iteration will converge; the smaller it is the faster the iteration converges.
If we want to be a bit more precise, we know that when we change by t, well, t times the derivative comes in, that's for linear approximation to how the function changes.
The process involves the reintroduction of Pleistocene megafauna or their closest modern relatives into large tracts of enclosed land, in an attempt to re-establish now-extinct ecosystems in approximation to how they functioned before substantial human interference.
In its current implementation, OptORF uses Boolean approximations to describe how transcriptional regulation affects metabolic fluxes.
While the generalized grouping of literature into three broad categories will certainly ignore various nuances in specific scholarly areas, there is value in making such approximations analogous to how the three-layer earth model has supplied scientific insight in seismic waves, plate tectonics, and magnetic fields.
This work provides a first approximation to assess how much data is required to produce good performance in multitask prediction exercises.
For this case, we also extended our impedance approximation to demonstrate how the SQUID saturates both by pump flux and by junction phase (or voltage).
This instability is described in North et al. [ 38] where a first order approximation to estimate how sample eigenvalues and eigenvectors differ from their exact quantities is derived.
