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Fractional calculus represents a natural instrument to model nonlocal (or long-range dependence) phenomena either in space or time.
In particular, neutral delay differential equations (NDDEs) provide an important mathematical instrument to model several electromagnetic problems [6].
The main reason is that the fractional derivative is nonlocal, which provides an excellent instrument to model the processes with fractal geometry, hereditary, and non-Markovian properties.
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The demonstration of the stated findings is carried out by conducting finger-related experiments with slow- and fast-sampling near-infrared spectroscopy instruments to model and validate the cortical hemodynamic responses.
We applied this OCT instrument to a model of Tropomyosin-associated DCM established in adult Drosophila.
Furthermore, ANN offers an analyzing and diagnosing instrument effectively to model performance of the nonlinear plant.
As described earlier, AQoL instruments sought to model 'handicap' (activity/participation).
We developed a new mathematical model to account for the presence of static tissue elements, and a new instrument to utilize this model and produce accurate and consistent measures of blood flow changes in the presence of static scatterers using flow phantoms.
The predictive capacities of this model are displayed in Table 3.> -wrap-foot> When adding other instruments to the model, only the MMSE had enough predictive power to be included in the regression tree: patients aged over 80 years, without a positive score on the VMS domains were considered positive if they scored ≤23 on the MMSE.
Adding other instruments to the model did not further improve the prediction.
The other measure uses the system-generalized method of moments (System-GMM), using the second lag of explanatory variables as an instrument to adjust the models (discussion of this method can be obtained from Blundell and Bond 1998; Roodman 2009).
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