Sentence examples for matrix the matrix from inspiring English sources

Since J is the block diagonal matrix, the matrix J n and its small blocks (J k ) n are also so.

For convenience, in the following examples, the random matrix, the Hilbert matrix, the Toeplitz matrix, the matrix whose all elements are one and the magic matrix are all denoted as by the corresponding Matlab function.

In case of 3×3 matrix, the matrix can be extended firstly to a 4×4 matrix and then inverted by applying the same formula derived above for 4×4 matrix inversion.

We were able to show that the cut-off value is approximately the system size, as suggested experimentally by the finite-size effect, but it is analytically related to the lead eigenvalue of the transition matrix (the matrix of all possible transitions at each simulation step).

The next step is to find consistency matrix, the matrix consistency is obtained from pairwise comparison matrix multiplication Table 1 with average priority weight in Table 3. Consistency matrix is shown in Table 4. Table 4 Matrix consistency table ax 2.979 1.720 0.967 0.532 0.292 0.169.

In case of 4×4 matrix, the matrix is first divided into four sub-matrices and then inverted in a block-wise manner by using the following formula: left[ begin{array}{cc} mathbf{A} & mathbf{B} mathbf{C} & mathbf{D} end{array} right]^{-1} = left[ begin{array}{cc} mathbf{W} & mathbf{X} mathbf{Y} & mathbf{Z} end{array} right] (15).

Like Gaussian random matrices, the matrices of Bernoulli, Hadamard, and Toeplitz are also the random.

For internal reinforcing constituent of the beam which dominated by matrix, the matrix failure index of Hashin-Rotem's failure criterion was chosen and for outer part which governed by fibers the maximum stress theory is considered as damage initiation indicator.

The state space formulation yields the system matrix 'A', input matrix 'B', and the disturbance matrix 'T'.

This feature is mainly due to the increased similarity between the trait-specific relationship matrix (T matrix) and the genetic relationship matrix at unobserved causal loci.

Nona Gaye, daughter of singer Marvin, has replaced the late Aaliyah in the second Matrix movie, Matrix Reloaded.