The phrase "achieves the error" is correct and usable in written English.
It can be used in contexts where you are discussing the attainment or occurrence of an error, often in technical or analytical discussions.
Example: "The system achieves the error when the input exceeds the maximum threshold."
Alternatives: "encounters the error" or "produces the error."
The block control technique is applied to design a nonlinear SM manifold for achieving the error tracking, and High Order Sliding Mode (HOSM) algorithm is implemented to ensure finite time convergence of the state vector to the designed SM manifold.
Now, in the following theorem, we will achieve the error bound for the fuzzy approximate function based on shifted Jacobi polynomials.
By computing, with (d=6) and (k=10^{-2}), we achieve the error estimation ((20sum_{j=7}^{20}lambda_{j})^{1/2}leq4times10^{-4}) in Theorem 6, which shows that we only need to take six POD bases.
Firstly, analyzing the workpiece surface feature to determine the nominal cutting tool path; secondly, using an appropriate milling force model to predict the milling force; thirdly, building a proper deformation model of the matching of LSFH and cutting tool to predict the machining error; and finally, correcting the cutting tool path to achieve the error compensation.
The proposed algorithm achieves the same error performance as in [9].
As shown in Fig. 6, the proposed splicing detection algorithm achieves the smallest error probability.
However, if then finding which achieves the minimum error is not an easy task.
From the results, we can see that the proposed method achieves the lowest error rates in most of the image pairs.
Among GFDM linear receivers, GFDM MMSE receiver achieves the best error performance for multipath fading channels at the cost of high numerical complexity.
In the second simulation, HaarSeg achieves the lowest error estimates for both RMSE and MAE.
