Sentence examples for by using the matrix from inspiring English sources

Note that these identities are given by using the matrix Q in [13].

By using the matrix geometric method, they derived the stationary queue length distribution and mean system size.

By using the matrix, we can arrange the coefficient b n ( l ) of sine series in Theorem 2.3 as follows.

By using the matrix, we can display the coefficient a n ( l ) of cosine series in Theorem 2.1 as follows.

The integer lifting and scaling lifting are achieved by using the matrix factoring (see Eq. (24)) and rounding-off operations.

We can prove Theorem 7 in Kim et al. [8] by using the matrix form (26) as follows.

The results are shown in Figure  11 for the same SBN simulation of 28, 29 and 30 cycles and the largest runtime is only 0.22s, compared to more than 70s by using the matrix-based analysis.

8.3 integrated tool MATCH® by using the matrices V$EBOX_Q6_01 (cut-off core similarity: 1.00, matrix similarity: 0.99), V$MYC_Q2 (cut-off core similarity: 1.00, matrix similarity: 0.99), and V$MYCMAX_B (cut-off core similarity: 0.75, matrix similarity: 0.96).

Let us prove the statement by induction, using the matrix recursion from Example 5.8.

Many workers seek to circumvent this problem by using the correlation matrix rather than the covariance matrix as the basis for the PCA [ch.

Squared TOPS improves DOA estimation performance by using the squared matrix for orthogonality test instead of the matrix to be tested in the signal processing of TOPS.