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Thus, there is no need to differentiate with respect to the parameters influencing the strength in the weld metal (WM).
For these types of manipulators, the identification equations are highly non-linear with respect to the parameters to be calibrated.
The mechanical properties of the films have been analyzed with respect to the parameters of various current programs.
We use a sensitivity analysis of the transfer function with respect to the parameters as a tool to select sample points.
The formalism enables the calculation of compact, analytic expressions for the derivatives of the density matrix and the observed signal with respect to the parameters varied.
The optimum design of experiments for nonlinear models requires parameter sensitivities, that is the derivatives of the response with respect to the parameters.
One useful sensitivity is the partial derivative of the probability-of-failure and/or the system response with respect to the parameters of the independent input random variables.
The Monte Carlo study shows that omitting unobserved heterogeneity produces a significant estimation bias because the model can be highly non-linear with respect to the parameters.
The optimization of the efficiency with respect to the parameters provides guidance for designing engineering solutions in terms of material selection and system properties.
The method also provides the posterior correlations between the parameters, as well as a measure of sensitivity of the different constituents with respect to the parameters.
Knowledge of the properties of the value function with respect to the parameters can be used for developing optimization tools to find optimal system designs.
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