Sentence examples for established the error from inspiring English sources

By using a scalarization approach of Konnov [8], Li and Mastroeni [5] established the error bounds for two kinds of (WVVIs) with set-valued mappings.

They gave sufficient conditions for the existence of nonoscillatory solutions for Eq. (1.5), constructed the Mann iterative approximations for these nonoscillatory solutions and established the error estimates between these nonoscillatory solutions and the Mann iterative approximations.

In this article, the POD-based reduced-order TSCFE extrapolation iterative format for 2D heat equations has been established, the error estimates of the POD-based reduced-order TSCFE solutions and the algorithm implementation of the POD-based reduced-order TSCFE extrapolation iterative format have been provided.

Then, we establish the error system.

Firstly, the movement transmission chain of machine tools is analyzed to establish the error propagation model.

An uncertainty study is also performed to establish the error bounds of the estimated material loss factors.

We establish the error convergence for the reduced order estimator for nonlinear systems using the center manifold theory for flows.

In this paper, Bayesian networks and ensemble modelling approaches have been applied to establish the error bounds.

We establish the error convergence for the reduced order estimator for discrete-time nonlinear systems using the center manifold theory for maps.

The results can be used as error estimations of relevant angles, angular speed and angular acceleration under a suddenly applied rotational angle, and are useful for establishing the error compensation required for position control.

Both types of parametric uncertainty sources (inlet conditions and porous media parameters) are important in order to establish the error bar on the CO emission and burning velocity predictions.