Sentence examples for entry of matrix from inspiring English sources

is the th entry of vector, and is the th entry of matrix.

[A] ij denotes the ith-row and jth-column entry of matrix A. I N represents the N×N identity matrix.

In order to evaluate the bit error rate performance, we need to evaluate the asymptotic behavior of the post-processing noise observed at each entry of matrix Δ W t. Using the 'characteristic function' approach, we can prove that conditioned on the channel matrix, the noise behaves asymptotically like a Gaussian random variable.

where [A] u,u denotes the (u,u th entry of matrix A. Thus, the average MSE across the subcarriers and transmit antennas can be calculated as MSE ¯ = 1 n D K ∑ k = 0 K − 1 ∑ u = 1 n D MSE k, u = 1 n D K ∑ k = 0 K − 1 ∑ u = 1 n D σ d ¯ u 2 + σ n 2 H ¯ k H H ¯ k − 1 u, u α ¯ u 2 β ¯ u 2. (31).

For all i, j, let an entry to matrix B be b ij for which n ij > 0, and let an entry of matrix K be k ij.

All of these blocks are diagonal matrices and can be written as (39) Q i j = q i j ⊗ I 28, where q ij denotes the ijth entry of matrix Q(3)(6).

Because the entries of matrix are nonnegative, we further define.

Since g i j ′ ( 0 ) > 0, all entries of matrix J are positive.

A is called a Metzler matrix, if the off-diagonal entries of matrix A are non-negative.

In this section, we firstly give some lemmas, involving about some inequalities for the entries of matrix.

The other entries of matrix (A=(a_{i,j} inmathbb{C}^{ntimes n}) are the pivot variables.