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The controller is determined by parabolic switching functions of the scalar error quaternion and the transformed vector error quaternions and their rates.
To obtain better reconstructed images, we propose a new approach called the transformed vector quantization (TVQ), combining the features of transform coding and VQ.
The frequency equation of the system is derived and expressed in terms of the transition matrix of the transformed vector characteristic governing equation.
The inverse difference expansion transform,, for the transformed vector, is defined as (13).
Consequently, one may assume that the transformed vector approximately follows a multivariate normal distribution, and hence, the use of normal-based control charts is recommended.
For the transformed vector, the sample mean vector for each subgroup of size n is obtained using Y i ¯ = 1 n ∑ j = 1 n Y ij ; i = 1, 2, …, m.
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A vector of mask coefficients is point by point multiplied to the transformed vectors.
end{aligned} (8)These transformed vectors (hat{x_l}^{(i)}) and (hat{x_t}^{(i)} ) are now represented as the weighted linear combination of the feature vectors from ({W_2}).
Then using these transformed vectors we apply the definition for a traditional correlation coefficient.
To this end, we transformed vectors pCZtGFPSec4, pCZtGFPExo70, pCZtGFPMlc1, pCZtGFPSpa2 and pHeGFPRab11 into Z.
This allows the application of nonlinear regression by using a kernel function [ 34] that represents the dot product of the two transformed vectors.
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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