As a technical vehicle, we employ the approximation fixpoint theory of Denecker, Marek and Truszczyński, thus showing that it is also a useful tool for complexity analysis of operator-based semantics.
For an alternative proof, one can employ the approximation by periodic sequences.
Using this empirical bound on, we can employ the approximation in (17), which leads to the computation of (a lower bound for).
If we employ the approximation of a simple linear relationship between displacement and polarization, then high strain levels and displacement of the B-site cations can explain the piezoresponse amplitude of BFMO along the out-of-plane direction.
> -wrap-foot> From the table, it is clear that fewer permutations are necessary to reach an accurate P-value estimate when employing the GPD approximation compared with the standard empirical approach.
However, employing the higher approximation order (i.e. S8 scheme) requires 3.33 times the computational storage compared with the S4 approximation.
Further, we construct the statistical mechanics of states of aggregation employing the Debye approximation.
Meanwhile, by employing the SFLC approximation in the adaptive control synthesis, all unknown functions at the intermediate steps are passed down in the controller design process, and only one fuzzy logic system (FLS) is employed to deal with the lumped unknown functions at the last step.
Sun and Wu [20] first proposed a fully discrete difference scheme for FSDE by employing the L1 approximation, where the truncation error was proved to be of (2-alpha ) order in temporal direction.
