These models are shown to be fairly general (for instance, approximations to interval based models emerge as special cases).
However, systems of large model order arise in a number of situations, for instance in approximation of partial differential equation models and power systems.
For instance, the approximation at the right of Fig. 1 contains red circles, which means that the automotive engine does not behave normally around the circle.
For instance, an approximation can be justified by pointing out that it is the 'mathematical pendant' to an acceptable idealization (e.g. when we neglect a dissipative term in an equation because we make the idealizing assumption that the system is frictionless).
For instance, the fluid approximation proposed in[14] is based on the assumption that the cost-to-go function is smooth in the state space of the FSM, meaning that only small variations of its value computed in neighboring states are allowed.
The minimization of absolute error is an instance of Chebyshev approximation linear programming problem.
For instance, our matrix approximation procedure was much more efficient with the original double-mutant fitness measurements, as provided by the SGA and GIM laboratories, compared to the highly processed and scored E-MAP datasets.
This chapter aims to fill the gap between the mathematical programming methods and the classical and often tedious techniques involving, for instance, upper bound approximations to the collapse load using an approach based on identification and combination of basic mechanisms.
In many instances, the data was available only in graphical form in which case trapezoidal approximation of integrals was used.
In short, it appears that in the case of slender blades, the classical linear approaches (Stoney's for instance) can constitute an approximation valid even in the case of large displacements.
