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Table 3 Material parameters of prototype and model Parameters Value (a) EA for column Prototype value (N) 2.638 × 108 Model value (N) 148,380 (b) EA for spread foundation Design value (N) 4.746 × 108 Model value (N) 278,200 Open image in new window Fig. 6 Dimensions and reinforcement of spread foundation (unit:mm).

The prototype parameters is the subscript p, model parameters is the subscript m in the paper.

Prototype step Here, we note that the choice of prototype parameters for each prototype is independent of the choice of other prototypes.

In prototype design, the design parameter values have been determined as shown in Fig. 4b.

The parameters value for these algorithms is NULL.

These parameter values have been used in the prototype and in the theoretical analysis of the paper.

Here we present a prototype model based on the influence diagram and the parameter values (Additional file 1: Table S4).

An experimental bench engine prototype was also designed, but not built, utilizing the same parameter values and considerations applied to the simulation, in order to fit it with the mathematical model.

One modification is related to the construction of a prototype for initialization, and the second modification is related to eliminate restrictions in model parameter values.

Recurrence period density was then calculated for each combination of parameter values and each signal in the training-set (TS) and prototype-set (PS).

Table 1 List of parameters and parameter values.