Sentence examples for matrices as described from inspiring English sources

(e) Compute closure matrices efficiently in a way that avoids inverting large matrices as described in Stolcke's paper (see base.ClosureMatrix).

P and Q are projection matrices as described in Duan [30] Diagram adapted from Li [64].

There are many ways to lumpthe mass matrices as described in the literature.

So far we have experimented with techniques based on either the eigenvalue or singular value decomposition of the field components' spectral matrices, as described in Samson (1973) and more recently by Santolik (2003).

The results of parameters estimate building the data matrices as described in Case 1 are reported in Table 1, while the parameters estimated with the procedure described in Case 2 are reported in Table 2.

Linear maps Rn → Rm are equivalent to m-by-n matrices, as described above.

Open image in new window Fig. 1 Sandstone matrix as described by Al-Harthy (2008/2009).

The impact of an monitored event is defined in a simple severity matrix, as described in Table 1.

Recently, Johnstone and Johansson have found the distribution of the largest eigenvalue [67, 68] of a Wishart random matrix as described in the following theorem.

Instead it is implemented by multiplication of the data vector by the pre-computed matrix, as described in Section 4. The most complex operation is the computation of the pseudoinverse of a δ +γ × γ complex matrix.

From the FDTD simulation, we also found that the a-SNOM system can be described by Jones matrix as described [30], T=left[begin{array}{l}3.954kern2.5em 0 kexp1em 0kern0.5emxp kern0.710i end{array}righty}right] (2).