Sentence examples for ensure the approximation from inspiring English sources
To ensure the approximation as rigid as possible, τ should be set small.
To ensure the approximation quality, a Generalized Method of the Moving Asymptotes (GMMA) and a Diagonal Quadratic Approximation (DQA) based optimizers are developed, respectively, in this work.
On the other hand, though best approximation theorems ensure the existence of approximation solutions, such results need not yield optimal solutions.
We also prove that the random periodic solutions are mean-square uniformly asymptotically stable, which ensures the numerical approximations are feasible.
Using the fixed point theorems due to Banach and Liu-Ume-Kang and iterative algorithms, some sufficient conditions which ensure the existence, uniqueness and iterative approximations of solutions for the functional equation in the Banach spaces B C ( S ) and B ( S ) and the complete metric space B B ( S ) are provided.
The nonlinear inversion-based controller acts as the main controller, and a neural network with an adaptive update law is designed to model the unknown system dynamics, a variable structure controller is employed to eliminate the effect of the neural network approximation errors and to ensure the system stability.
Finally, unlike the other analytic approximation techniques, HAM provides a simple way to ensure the convergence of the solution series.
By utilizing fuzzy approximation, an adaptive fuzzy controller with prescribed constraint is designed to ensure the transient and steady state performance for the tracking errors of nonlinear system.
In addition to preserve positivity, the scheme also ensures the accuracy of the approximation for smooth solutions.
The procedure ensures the convergence of the approximation, preserves the basic properties and the Lyapunov stability of the solution of the initial problem and reduces the systematic errors.
IO+ children returned to the clinic every 3 weeks to have their plates adjusted by grinding at the cleft margins to ensure proper approximation of the maxillary segments.
