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We also discuss several external stimuli that lead to regularized CPG rhythms.
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It is generally known that a priori bound E has a great influence on the accuracy of regularized solutions computed by a priori method, and a wrong a priori bound may lead to bad regularized solutions.
Table 5 gives a discussion as regards the impact of bound E on the relative error of the regularized approximation for Example 2, and we also see that a wrong constant E may lead to bad regularized solutions.
However, the a priori bound E cannot be known exactly in practice, and using a wrong constant E may lead to a badly regularized solution.
But in practice we cannot obtain the exact solution, and the inaccurate prior bound may lead to the bad regularized solution.
However, in general, the a priori bound M cannot be known exactly in practice, and working with a wrong constant M may lead to the bad regularized solution.
However, the a priori bound E cannot be known exactly in practice, and working with a wrong constant E may lead to a badly regularized solution.
Additionally, the noise injection theory discussed in Section 6 shows that white noise satisfies Equation 2 and hence leads to the regularized cost function of Equation 5.
Relations between relative scattering determinants and spectral distributions are established; they lead to the definition of regularized scattering phase.
Although the regularized forces lead to a smooth velocity field, the Greenʼs function may contain rapid transitions that are not captured properly on a coarse grid.
We find strong evidence that improved spatial resolution with fixed blob size leads to a converged, regularized solution without numerical instabilities.
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