Sentence examples for we derive a criterion from inspiring English sources

Now, we derive a criterion for equations (3.21) and (3.23) to be oscillatory.

Based on the Lyapunov stability theorem, we derive a criterion for global asymptotical stability of a unique equilibrium of the noise reduction CNN.

We derive a criterion which is used to determine the accuracy of a given approximation and use this criterion to determine the optimal separation of a very general class of potentials, subject to cutoffs, kc and rc, in reciprocal and real space, respectively.

We then derive a criterion that can be used as a nonlinear preconditioning strategy to solve multicell problems.

Now we will derive a criterion for selecting the model order of the single-pitch model and detecting the presence of a periodic source.

Using this result, we derive a sharp criterion for no blow-up.

First, we derive a stability criterion for the formation of shear bands, by linearising the conservation equations of thermo-plasticity.

We derive a new criterion for deducing the intervals of oscillatory behavior in the solutions of ordinary second-order linear homogeneous differential equations from their coefficients.

We derive a new criterion for checking the global stability of periodic oscillation of bidirectional associative memory (BAM) neural networks with periodic coefficients and distributed delay, and find that the criterion relies on the Lipschitz constants of the signal transmission functions, weights of the neural network, and delay kernels.

We derive a single numerical criterion to estimate the influence of 13 parameters on colmatation process.

Moreover, we derive a C p criterion in order to select the tuning parameters included in our estimator.