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This equation is analogous to the linear differential equation (1.2).
A potential theory which is completely analogous to the linear one can be constructed in the nonlinear case too.
A simple control law analogous to the linear generalized minimum variance (GMV) control is presented for the general unknown nonlinear dynamic processes.
The proposed MIMO RBF-ARX model has a basic regression-model structure that is analogous to the linear ARX model structure, and the elements of its regression matrices are composed of Gaussian radial basis function (RBF) neural networks that are dependent on the working-point state of the current system.
The moiety relation together with the usual assumptions of QSS within the lump allowed us to construct a matrix equation (45), which is analogous to the linear formula (24).
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The presented incremental learning process is analogous to the linearization technique widely used to study local properties of non-linear systems.
This result therefore provides a formal justification for using receptive field responses as a basis for visual processes, analogous to the way linear receptive fields in the fovea, LGN and V1 provide the basic input to higher visual areas in biological vision.
Conservation of angular momentum of rotating bodies is analogous to the conservation of linear momentum.
The results suggest that condensation continues during sintering, and CPP glass crystallizes in a process analogous to the crystallization of linear organic polymers.
A supplementary fourth model was built using generalised estimating equations with average total costs across the 3 years as dependent variable, study year as within-subject variable, and model specifications analogous to the three generalised linear models described above.
Theorem 3.6 demonstrates that certain choices of the pair ((p, J_{m})) yield spectra with desirable properties analogous to the classical spectra of linear maps.
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CEO of Professional Science Editing for Scientists @ prosciediting.com