The roughness of the shapes is characterized by a fractal amplitude, which can be calculated exactly as a function of the (time-dependent) probabilities and rescaling factor of the random deposition process.
We modelled the propensity to receive treatment at each time window as a function of all time dependent covariates listed in table 1, updated to their value at the previous time window.
A damaged ply was modeled using an equivalent undamaged ply with an apparent compliance, which was determined as a function of time-dependent transverse crack density.
A time-dependent loss in native ALDH3A1 dimer was observed as a function of the UVB irradiation time.
To relate the responses of the H1 cell to these environmental features we quantified these stimulus features (Fig. 3): the average nearness and root-mean-square (RMS) contrast were determined within an analysis window and computed as a function of time ('time-dependent nearness' and 'time-dependent contrast').
Prevalence was modeled as a function of time, with prevalence as the dependent variable and time as the independent variable; Pearson's scale factor was used to account for overdispersion.
Next, we quantified the subsequent appearance of iPP daughter lamellae and determine the time dependent ratio between parent and daughter lamellae as a function of the flow strength.
However, if we instead estimate the rate as a function of time from the same dataset, we would conclude that it is time-dependent, since the rate strongly increases over time (see Fig. 3 c, inset).
Each state-dependent choice probability is determined as a function of the synaptic weights pas(w).
The microwave oven leakage is time and frequency dependent, which requires performing a multiple frequency analysis in order to characterize potential exposure as a function of operating time of the microwave oven heating process.
As seen in Eq. 7, the Dischinger MOE model is only dependent on the initial concrete compressive strength (linearly), while the ACI 209 MOE model is a function (square root) of the time-dependent concrete compressive strength.
