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Instead of considering the original optical flow, the two eigenvalues of the covariance matrix of local optical flows are analyzed.
The computational complexity involved in PCA includes the calculation of covariance matrix of local optical flow and its eigen-decomposition.
The GGE-conjecture states that the stationary expectation value of any local observable is equal to the ensemble expectation values or equivalently that of the reduced density matrix of local observables.
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The matrix forms of local Lagrangian approach (LLA) are developed based on Lagrangian description for single-component in nonlinear, non-ideal chromatography.
LKFA is designed to extract the eigenvalue features from the Hermite matrix of a local feature representation, which we have theoretically proven its robustness to noise and perturbations.
Inparanoid has an important advantage over phylogenetic tree reconstruction software, as it does not require a multiple alignment of sequences but creates a distance matrix of the local pairwise alignments.
The major contribution to the fixation probability comes from the connectivity matrix of the local genetic neighborhood of the invading sequence (or mutant class); sequences farther away on the neutral network that are poorly connected become relatively unimportant, and may be drawn out of the population by genetic drift and mutation selection balance.
Tissue engineering may involve customizing the patient's own tissue, or the manufacture of a matrix with induction of local or implanted cells to facilitate reconstitution of the missing tissue.
Gradually, the required rotation and translation matrices of the local coordinate system of the robot-end-effector relative to the basic system are calculated and subsequently the Euler angles of rotation are determined corresponding to the transformation matrices.
Using some linear transformations for the output matrices of each local model of the T S fuzzy system, and employing Finsler's lemma, the robust stability conditions in the form of linear matrix inequalities (LMIs) are derived.
Finally, the background clutter for the moving target sequence was simulated by adding a sequence of synthetic GMrf samples to a matrix of previously stored local means extracted from the database imagery.
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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