The phrase "as a function of the coordinates" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe how one variable depends on or varies with respect to the coordinates of a system.
Example: "The temperature in the room can be modeled as a function of the coordinates, allowing us to predict heat distribution."
Alternatives: "in relation to the coordinates" or "depending on the coordinates".
In this unbounded situation, the functional Q can also be determined analytically as a function of the coordinates of M [38, 39].
A 3D array (ordered set) of values for the properties of the porous medium (porosity cube) as a function of the coordinates is used to understand well-test responses.
We assume that magnetization distribution can be characterized by a position of its center X t) that can vary with time and, therefore, the magnetization as a function of the coordinates r and X t) can be written as m r,t) = m r,X t)).
Equation 12.11 (or the analogue with Hmol) gives the free energy for each electronic state as a function of the proton coordinate, the intramolecular coordinate describing the proton donor acceptor distance, and the two solvent coordinates.
Essentially a second order ordinary differential equation is solved for each mode as a function of the generalised coordinates.
Expression fold changes for both pairwise comparisons were plotted as a function of the chromosomal coordinates of each gene.
This random field represents the variation of the surface of the cylinder from the nominal radius as a function of the circumferential coordinate and of the axial coordinate.
Figure 5b shows evolution of IA solitary profile as a function of the ξ coordinate and ion number density f.
HC as a function of the x-coordinate (b) and as a function of F (c) (full circles - stripe 1, open circles - stripe 2).
Figure 3b shows profiles for the combined potential, V eff + V DC, as a function of the vertical coordinate (Y).
Following Ref. [39], the concurrence is evaluated as a function of the Weyl chamber coordinates to yield Eq. (3).
