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Finally, an improved version of the model is proposed, allowing to approximate accurately the limit-cycle amplitudes for the entire range of Scruton numbers tested.
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This is the parabolic analogue of the classical harmonic approximation lemma of De Giorgi [11, 12] and allows to approximate functions with solutions to parabolic systems with constant coefficients in a similar way as the classical harmonic approximation lemma does with harmonic functions.
This allows to approximate by in the above expression.
It allows to approximate a sum of positive random variables by a Gamma distribution.
This will allow to approximate a given family of vector fields with homogeneous ones.
For non-viscously damped systems a fast iterative modality is suggested, which allows to approximate, in an efficient and simple way, the complex eigenpair.
Therefore, we propose a Tabu Search multiobjective optimization framework, which allows to approximate the Pareto-optimal set of designs while considering uncertain variables in the initial recipe.
The proposed algorithm allows to approximate smoothed expectations of additive functionals online, with a complexity growing only linearly with the number of particles and without any discretization procedure or Taylor expansion of the transition densities.
Based on the identification and permanent correction of errors as well as the inclusion of more and more phenomena, systematic upscaling allows to approximate completeness of function and of data coverage.
Wave-domain adaptive filtering (WDAF) has been shown to overcome these problems by using a physically motivated loudspeaker-enclosure-microphone (LEM) model [44, 45], which allows to approximate the LEM system by a drastically reduced number of loudspeaker-to-microphone couplings described in the wave-domain.
In this section, we define the effective length of a window which allows to approximate the distribution of the eigenvalues of windowed SCM with that of a rectangular window with an equivalent length, assuming that the covariance matrix of data A satisfies the assumptions of Theorem 1.
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CEO of Professional Science Editing for Scientists @ prosciediting.com