Sentence examples for matrices by taking from inspiring English sources

In this section we disclose an elegant way of obtaining better commuting matrices by taking advantage of the bilinear transform, which is a good discrete substitute for the derivative operator.

Results: We design several techniques to combine kernel matrices by taking more involved, geometry inspired means of these matrices instead of convex linear combinations.

With any given gap cost, the probability of a residue aligned with a gap can be calculated proportionally from a given gap cost and other values from the un-scaled scoring matrices by taking anti-log of the log-odd values or score matrix.

A feature vector is derived from a covariance matrix by taking its upper triangular part.

It is easy to see that A is a strictly α-diagonally dominant M-matrix by taking (alpha=0.5), and A is not a strictly diagonally dominant matrix.

When the fracture is complete, we create the velocity matrix by taking the inverse of the elements of W times the discretization length: V x,y) = frac{a}{W x,y)}.

The pairwise correlation matrices for different species can be merged into a consensus correlation matrix by taking the minimum correlation for each metagene pair.

Finally, given multiple separate cost matrices, we can construct a single cost matrix by taking a simple weighted sum: (4) where is a vector of (log) weights.

The correlation coefficients were converted into a distance matrix, by taking 1-correlation - that is, a correlation of 1 would give a distance of zero.

We approximate the elements of the information matrix by taking a second-order Taylor series about the mean eigenvalue of (1 − θ).

The two Euclidean and Manhattan between-subject distance matrices were normalized by scaling between 0 and 1 [ 24] and aggregated into a single between-subject distance matrix by taking their weighted average [ 2].