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Secondly, a fuzzy polynomial model is proposed for modeling the error dynamics when the nonlinear agents have more complex dynamics and cannot be approximated with polynomial systems and consensus conditions are expressed in SOS terms.
The non-linear behavior of the joint cannot be approximated with accuracy by a linear model.
In the nonlinear systems without strict-feedback structure, the unknown nonlinear functions involve all the state variables, so they cannot be approximated with current states.
In those cases, the parsimony of the M×E model can be advantageous; however, the pattern may be too restrictive in cases where the genomic variance cannot be approximated with the structure imposed by the interaction model (Meyer and Kirkpatrick 2008).
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We show that for, the resulting problems are NP-Hard that cannot be approximated within a factor that grows polynomially with the number of nodes.
We show that there exist graphs of Cartesian maps, of finite mass, which cannot be approximated weakly as currents by graphs of smooth maps with equibounded area.
It is found that the performance of openings with a porous and/or plastic sealing cannot be approximated by the results for empty and open holes or slits.
- Proof 1 (Razborov-Smolensky): PARITY cannot be approximated by a low-degree polynomial (section 13.2).
This means that this problem cannot be approximated by a single schedule.
Some other solutions, obtained numerically, cannot be approximated by conventional asymptotic methods.
It cannot be approximated by interpolation or down-sampling.
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CEO of Professional Science Editing for Scientists @ prosciediting.com