Sentence examples for differential ones from inspiring English sources

Recently there has been a great interest in studying nonlinear difference equations and systems not stemming from differential ones (see, e.g., [1 30]).

In Section 2 we introduce the laminar flow equations and the similarity transformation which reduce the governing equations to a system of high order nonlinear ordinary differential ones.

We then carried out the DD relocation by using manually picked P- and S-wave arrival times, as well as the differential ones obtained by the waveform cross-correlation analysis.

Concrete nonlinear difference equations and systems, especially those which are not closely related to differential ones, have attracted a lot of attention recently (see, for example, [1 33] and the references therein).

The adopted methods belong to the so-called isoconversional "model free" methods and, in this contest, both the differential ones as those of Friedman and Flynn and the integral ones as those of Kissinger-Akahira-Sunose, Doyle and Starink have been applied.

The proposed blind coherent SOCP-ICA detector in (16) omitting the complex pre-whitening step based on SOS eigenvector projection has the best performance; the proposed blind differential SOCP-ICA detector degrades with increasing the correlated coefficient α but is still better than the other blind differential ones.

One of them is on the Hodge Laplacian acting on differential one-forms.

A transformation of the integral form into the differential one was suggested by Eringen.

The standard charging rate was derived using the equilibrium dynamic model, whereas the differential one was obtained by establishing the fuzzy synthesized evaluation model.

The approach consists in constructing a locally-defined dissipative potential function by homotopy decomposition of a differential one-form associated to the system drift vector field.

By optimizing the differential one-term Ogden model to modulus estimations at each of the pre-stretching locations, the nonlinear stress strain curves were reconstructed.