The phrase "a simple dependence" is correct and usable in written English.
It can be used to describe a straightforward or uncomplicated reliance on something or someone.
Example: "In this project, we have a simple dependence on the data provided by our research team."
Alternatives: "a basic reliance" or "an uncomplicated dependence".
On the contrary, in this work we present new algorithms specially designed for perturbed oscillators whose coefficients have a simple dependence on the step-size.
A simple dependence between the catalyst activity and the coke content on the catalyst (up to 17 wt% for significant time-on-stream) was tested.
This has consequences for heavily ionising radiation protection procedures, which currently still assume a simple dependence of radiation quality on LET.
Comparing Figure 5a and Figure 5e or Figure 5b and Figure 5f, respectively, the two large time constants show a simple dependence on the water concentration (two straight lines), while the relation to the HF concentration is not that clear.
Recently, Garcı́a et al. have developed methods of Runge Kutta Nyström type for the numerical integration of oscillatory problems whose coefficients have a simple dependence on the step-size.
The kinetics of the PMMA dissolution by AcN/alcohol solvent mixtures were interpreted using conventional Arrhenius behavior in which the activation energy has a simple dependence on the thermodynamic quality and the molecular weight of the solvent mixture.
The average abrasion rate at and above 100 g of load shows a simple power law dependence on the number of cycles, but a deviation from this simple dependence is observed at lower loads.
While the choice of this dependence for the specificity is a simple linear dependence (which makes sense as a first pass), the choice of function for P_{RF} is highly non-trivial.
The significance of the viscoelastic relaxation contribution on the overall penetrant transport was evaluated by analyzing the temperature dependence of the diffusional exponent, n, of a simple exponential dependence of the dodecane uptake as a function of transport time.
In any case, the two ways of deriving sys-nets from the m-systems of a simultaneous set – either by simple dependence or by the complex conjunct entry points – provide different information about the ultimate descriptum.
Several recent observations suggest that resistance of glioblastomas to alkylating agents seems to follow a more complex pattern than simple dependence on MGMT levels.
