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The matrix is real and symmetric, hence its eigenvalues are real and its eigenvectors are orthogonal.
Based on this analogy, QLB was formulated as a lattice Boltzmann analogue of the Dirac equation in the Majorana representation, where the streaming matrix is real.
Since the channel matrix is real in the modified Wyner network, we take the transpose of H (c) in (11) rather than the Hermitian given by (4).
However, in our case the sources and measurements are complex-valued (due of the Hilbert transform), but the mixing matrix is real.
An important feature is that the determinant of C can be easily calculated using C = I LN / 2 - P P T [33], since the matrix is real and symmetric.
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When this training matrix is real-valued (a = 1), it does not matter which is used.
Since the Jacobian matrix is real-time and needs to be recalculated at each sampling time, the voltage regulation region also changes.
(3) Since the Jacobian matrix is real-time and needs to be recalculated at each sampling time, the voltage regulation region also changes. .
It is shown that if all the eigenvalues of the Laplacian matrix are real, then second-order consensus in the multi-agent system can be reached for any sampling period except at some critical points depending on the spectrum of the Laplacian matrix.
I can see half a hundred game executives using the line "What if The Matrix was real?" to pitch that very idea in the coming months.
The steady state is stable providing, as always, that the roots of the community matrix are real and negative when evaluated at the steady state.
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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