Sentence examples for the behavior of the error from inspiring English sources

Quantificationally, the behavior of the error bound is (O(10^{-n})) where (n) is the argument.

The behavior of the error bound is (O(10^{-n})) approximately where (n) is the argument.

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

Deriving an analytic expression for the probability of error is always desirable, because it could help to analyze the behavior of the error.

In contrast to Zhang et al. [7], the scanning speed was determined by the behavior of the error signal controls (which was the input signal for the PI controller).

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.

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.

In this way, it is possible to achieve a negligible error due to the time integration and to study the behavior of the absorption error.