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We confirm the complexity of the dynamic behavior by computing the largest Lyapunov exponents.
Robust stability of systems with both plant and controller perturbations, and stability analysis of a class of multilinear disc polynomials are unified in the same framework, and can be solved by computing the largest norm of a second-order matrix along the imaginary axis.
We applied score function mentioned above to select the fitted edge of network G by computing the largest posterior score for all possible gene interaction.
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Finally, obtain the channel impulse response matrix H by computing the K largest eigenvalues and the associated eigenvectors of HH ∗.
Any bag of tags has a correspondence U matrix that obtained by computing the K largest Eigen Values of the bipartite matrix.
Form the matrix M j and compute F j using (3.5) for j = 0, 1, …, L. (Here we use R c instead of R f in (3.5).) Form the matrix Q using F0, F 1, …, F L, and obtain the channel impulse response matrix (3.7) by computing the K largest eigenvalues and the associated eigenvectors of Q.
(4) Use the method given in Section 3.1 to remove the noise components imposed on Q H to obtain HH ∗. (5) Finally, obtain the channel impulse response matrix H by computing the K largest eigenvalues and the associated eigenvectors of HH ∗. .
Using the proposition 4, it possible to get the same result a bit faster on very long sequence by computing the first two largest eigenvalues magnitudes λ and ν (complexity in O(a) with Arnoldi algorithms) and to use them to compute a p-value.
Second, due to the correspondence of the time averages and "space averages" of ergodic systems (see [41], Theorem 3.2.4 ., one can estimate quantities of the type (mathbb{E}[h(X t))]) (for t sufficiently large) by computing the time average of a single path of (X t)) on a large time horizon instead of using Monte Carlo estimation which requires one to compute a large number of paths of (X t)).
We tested whether effect estimates differed for cohorts for which the land use regression model cross-validation explained variance was smaller or larger than 50% by computing the chi-square test of heterogeneity.
Changes in interaction forces between adjacent medium and large particles were investigated by computing the radial distribution function and the interaction potential.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com