Sentence examples for matrices given a from inspiring English sources

matrices, given a vector x, we can show that begin{array}{*{20}l} &x^{dagger}left(bar{lambda}rho_{mathrm{I}}H_{mathrm{I}}K_{u} H_{mathrm{I}}^{dagger}right)x &quad=frac{1}{M_{text{ul}}}left(U^{dagger} xright)^{dagger} bar{lambda}rho_{mathrm{I}}Lambdaleft(I_{M_{text{ul}}}+bar{lambda}rho_{mathrm{I}}Lambda^{dagger} Lambdaright)^{-1}Lambda^{dagger} (U^{dagger} x) end{array} (90).

Following given groups of people over time using panels or alternatively equivalent cohorts or mobility matrices gives a more complete picture of the dramatic changes that are taking place.

Their method depends on the fact that the distribution of the eigenvalues of unitary matrices gives insight into the distribution of zeros of the Riemann zeta-function and the values of the characteristic polynomials of the unitary matrices give a model for the value distribution of the Riemann zeta-function.

Here, vec-1 denotes the reshape operation to obtain a matrix given a stacked vector.

The incremental eigenvalue solution is a general technique for finding the approximate eigenvectors of a symmetric matrix given a change.

R x ( a ) = σ s 2 a a H + R i + n is the data covariance matrix given a. Obviously, it is a spatial Wiener filter with weights σ s 2 R x - 1 ( a ) a [25].

Then, AUCPR as adopted as a measure of correctness of an output adjacency matrix, given a true network.

An important formulation used in recommender systems such as the Netflix movie recommendations (Bennett and Lanning, 2007) is matrix completion, where the problem is to 'complete' the user-item preference matrix given a sample of observed preferences.

The sum of these 20×20 products under a 64×4 matrix was then divided by that under its matched 4×4 matrix to obtain the relative "deleteriousness" of the 64×4 matrix, given an amino-acid distance matrix and a set of qualifying coding regions.

Moreover, the error covariance matrix gives a misleading evaluation of tracking filter performance, as mentioned earlier in this subsection.

which resulThefrom the alatterion functions comatrixion gives by and.