Sentence examples for behavior of the error from inspiring English sources

Since message arrivals at PEs are essentially random processes, so is the behavior of the error.

The rules for the Fuzzy Controller were designed based on the dynamic behavior of the error signal.

We also present a theoretical analysis that explains the observed O h2) behavior of the error in our method for the homogeneous case.

We give numerical examples of Pk polynomials, with 1 ⩽ k ⩽ 3, to demonstrate the superconvergence property, as well as the long time behavior of the error.

Two numerical examples with known exact solution are also presented, and the behavior of the error is analyzed to verify the order of convergence of the ADI-Euler method.

Figure 3 Dynamical behavior of the error (pmb{e_{1} ( t,x )}). Figure 4 Dynamical behavior of the error (pmb{e_{2} ( t,x )}). Figure 5 Dynamical behavior of the error (pmb{e_{1} ( t,x )}) when (pmb{x = 0.8}).

The behavior of the errors in ignition delay with the variation of the different parameters of the simulations has been studied.

Numerical solutions for an example super-diffusion equation with a known analytic solution are obtained and the behavior of the errors are analyzed to demonstrate the order of convergence of the method.

These problems are solved using the Jacobi collocation method for α = 1 3, β = 1 2. In order to show the behavior of the errors, we define the weighted L 2 -norm by ∥ e ∥ L ω α, β 2 ( − 1, 1 ) = ( ∫ − 1 1 | e | 2 ω α, β ( t ) d t ) 1 2, where ω α, β ( x ) = ( 1 − x ) α ( 1 + x ) β ( α, β > − 1 ) is the Jacobi weight function.

The behaviors of the error bound of integral method and series method, as can be seen from Table 3, are totally different.

We perform an analysis for the dispersion error and different internal parameters of the algorithm are studied in order to examine the behavior of this error.