Sentence examples for convergence of the initial from inspiring English sources

Note that the final condition of Theorem 4.1 in [27], i.e., the convergence of the initial conditions, is satisfied by assumption.

By using the method of quasilinearization, in [13], the authors investigated the uniform and quadratic convergence of the initial value problem for singular differential systems.

Pattern of reliability convergence for the initial test-bed CCS simulation as defined in Table 3 Fig. 4 Component failures by resource type — initial simulation.

Pattern of reliability convergence for the initial test-bed CCS simulation with 10,000 GB extra HDD resource as defined in Table 4 Fig. 6 Component failures — initial simulation plus 10,000 GB HDD.

We prove that, under proper assumptions, this significantly improves the convergence rate of the initial iterative method.

Two anti-unwinding control schemes are developed such that the desired attitude can be tracked with bounded convergence time regardless of the initial conditions.

Three chains were run in parallel for 500 000 iterations after which chains were visually inspected for convergence and 50% of the initial runs were discarded.

However, it is well known that the Newton iterative method is sensitive to the initial guess for the nonlinear iterations, i.e., to guarantee the convergence of the Newton iterations, the initial guess should be close enough to the solution ((u_{mu},T_{mu})).

We have used MATLAB with (varepsilon=10^{-4}). Figure 1 Convergence of the algorithm with initial values (pmb{x_{0}=10}) and (pmb{x_{0}=-10}).

Necessary conditions on the limiting behaviour of the sub-domains are very strongly connected to the convergence of initial conditions of the models, which is a condition in the limit theorems; see below.

In these contours, PHAs production increased (> 300 mg/L) with the increase of cultivation time but the convergence of the curves toward the initial phosphates concentrations of 25-30 mM demonstrated that PHAs production would not be further rise by increasing phosphates concentration above 30 mM.