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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.
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The KLT-approximated message seems to converge a little bit faster than the Fourier representation up to approx. 45th iteration, where the KLT-approximated message achieves the error floor.
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.
For the RF, 12 auditory channels are sufficient to achieve the best error rate.
In order to achieve the minimum error of (19), the training sequences should satisfy the semiunitary condition (18).
The optimal threshold when recognizing the modulation type of received signals is derived to achieve the least error probability.
The optimal solution would be using the exhaustive search, where the solution is considered optimal from an aspect that the selected co-occurred features achieve the minimum error.
Based on the PEP analysis, the optimum spatial Q-component interleaver design criterion is provided to achieve the minimum error probability.
But during simulation, it may not possible to achieve the tracking error to zero because of high tracking dynamics in the reference signal.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com