Sentence examples for by linearizing the one-dimensional from inspiring English sources

This paper presents an analytical solution generated by linearizing the one-dimensional non-linear Boussinesq equation to characterize the variation of groundwater level induced by tidal waves and rainfall in a coastal unconfined sloping aquifer.

In Section 3, by linearizing the resulting four-dimensional system at the positive equilibrium and analyzing the associated characteristic equation, the Hopf bifurcations are demonstrated.

Thus, on the left-hand side, the two-dimensional magnitude Z plano (a square) was divided by the one-dimensional variable G, leaving one dimension.

A big man, Mr. Affleck is shriveled by the one-dimensional role.

We provide a detailed study of the dynamics obtained by linearizing the Korteweg de Vries equation about one of its periodic traveling waves, a cnoidal wave.

In order to establish the stability of an equilibrium solution U of an infinite-dimensional dynamical system u˙="X u), one is interested in the spectrum of the linear operator L[U] obtained by linearizing the dynamical system around U. We use a spectrally accurate method for the computation of the spectrum of the maximal extension of the operator L[U].

We present a four-dimensional simplified analytical expression of such hybrid map obtained by linearizing the uncontrolled impulsive hybrid nonlinear dynamics around a desired one-periodic passive hybrid limit cycle.

This is achieved by linearizing the "score" or the pdf approximate of the observation.

Lie symmetries are obtained by linearizing the symmetry condition about the identity, as follows.

With these assumptions, we will first consider the one-dimensional case, and then analyze the two-dimensional case by analogy.

It was by far the most one-dimensional and anti-Arab of the major TV productions.