The phrase "as a linear function of time" is correct and usable in written English.
It can be used in contexts involving mathematics, physics, or any field where relationships between variables are discussed, particularly when describing how one variable changes in relation to time.
Example: "The speed of the object increases as a linear function of time, indicating a constant acceleration."
Alternatives: "as a time-dependent linear function" or "as a linear relationship with time".
We assume that the velocity varies inversely as a linear function of time making it possible to transform equations (2 - 5) into a set of self-similar equations.
This trajectory is commonly expressed as a linear function of time containing two unknown individual latent growth factors: an intercept and a slope.
In this study, the nonlinear dynamic buckling of functionally graded (FG) truncated conical shells subjected to axial compressive load varying as a linear function of time is investigated.
While SAR imaging is performed with a single carrier frequency, f 0, the actual waveform of each radar pulse is frequency modulated with its variable instantaneous frequency as a linear function of time.
We have assumed that the timing error of the OBS clock can be expressed as a linear function of time, and we corrected for the error by measuring the time difference between the OBS clock and a time standard synchronized to the GPS timing, before deployment and after retrieval.
Vaupel and Yashin (1985) maintained that there are at least two different subpopulations: for subpopulation 1, divorce will never happen, i.e., h 1 t) = 0, while for subpopulation 2, the divorce risk increases over time, which can be depicted as a linear function of time, i.e., h 1 t) = b * t.
Each bead trajectory was approximated as a sum of an exponential and a linear function of time: x t) = A·(1−e−B·t)+C·t, where x is bead displacement, t is time and A, B and C are fitting parameters.
As an alternative, many papers assume that the premium income is no longer a linear function of time t.
Hence for large times the spread, is a linear function of time.
Once initiated, the initial rigid polymerization shrinkage proceeded rapidly, as a nearly linear function of time [ 10].
At low drug loading, itraconazole was released from the nanofibers as a linear function of the square root of time suggesting Fickian kinetics.
