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A similar role is played by a certain matrix, in case of systems.
Figure 15 Condition number of the system cross-correlation matrix in case of AWGN and Rayleigh fading channels.
It is well known that PCR reduces the variance by using a lower rank approximation of the predictor matrix in case of correlated predictors [67].
(39)Table 1 shows all the steps of the proposed method for optimizing measurement matrix in case 1. Table 1 Designed measurement matrix algorithm for 1D model (case 1).
Similar to the derivations for CPE, the following expression is obtained for the Fisher information matrix in case of positioning: I ( p ) = 2 · J T ( p ) C e − 1 J ( p ), (55).
Furthermore, a simplified method for estimating the eigenphone matrix in case of diagonal covariance matrices is derived, and a unified framework for solving various regularized matrix estimation problems is presented.
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The source time courses were reconstructed using inverse wavelet transform from the time×frequency matrices in case of CWT-BTW and by averaging along the antidiagonals of the Hankel matrices in case of H-BTD.
Further, vectorizing the image matrices very often shows a singularity problem during the inversion of scatter matrices in case of LDA-based training.
The resulting connection coefficient matrices (in case of stochastic MRA and LMML) and weight matrices (in case of SBRA) were then used to calculate the corresponding AUROC and AUPR values.
The resulting matrix (or set of matrices in case the alignment contains gaps) is then used to scan and score a set of potential target sequences.
However, this measure, the Hamming distance, provides a biased quantification of the similarity between any two matrices in case the number of zeros and ones is significantly different.
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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