Sentence examples for nonlinear conditions from inspiring English sources

The numerical simulations are performed for both linear and nonlinear conditions.

Further, this training is made without imposing any condition on the distribution of data (nonparametric) and under nonlinear conditions.

A clearer understanding of the physico-chemical behavior of supercritical fluids in preparative chromatographic columns under nonlinear conditions is still needed.

In this paper, a method to estimate the electrochemical impedance under nonlinear conditions using a recursive least squares algorithm is presented.

A simulation of tearing-mode evolution for a shaped toroidal tokamak equilibrium demonstrates the effectiveness of the algorithm in nonlinear conditions, and its results are used to verify the accuracy of the numerical anisotropic thermal conduction in 3D magnetic topologies.

For the non-axisymmetric focused transducers mentioned above and excited by a tone burst corresponding to moderately nonlinear and highly nonlinear conditions the execution time of computations was 3 and 12 h, respectively, when using a 1.5 GHz clock frequency, 32-bit processor PC laptop with 2 GB RAM memory, only.

The nonlinear function is considered to satisfy the one-sided Lipschitz condition, which has less conservative than the well-known global Lipschitz nonlinear condition.

For the nonlinear term, the conditions (i - iii) are also easy sati - iii

The nonlinear term and boundary conditions of fractional differential equation contain the fractional order derivatives.

Theorem 1.1 Assume that the nonlinear term G satisfies conditions (G1 - G2).

Since our goal is to study L p -estimate and almost surely asymptotic estimate problems, we assume that there exists a unique solution x ( t ) to equation (2.1) under non-Lipschitz condition and nonlinear growth condition (see [5, 6]).