Sentence examples for principal diagonal elements from inspiring English sources
By analyzing the principal diagonal elements of the matrix, the type of degree of freedom of this flexure mechanism can be easily demonstrated.
All elements in matrix X are complying with 0 ≤ x ij ≤ 1, and all principal diagonal elements are equal to 0. The total relation matrix T is obtained using the following two numerical calculations in Eqs.
In order to enhance dissimilarity between received multipath signal (i.e., H1) and channel noise (i.e., H0), we further derive a symmetrical matrix by B = A T A. Then, we denote the principal diagonal elements of BN × Nwith aN × 1, and the elements immediately below diagonal with b N- 1) × 1. a N × 1 = diag ( B ) = B i, i, i = 0, 2, ⋯, N - 1 (10) b N - 1 × 1 = B i + 1, i, i = 1, 2, ⋯, N - 1 (11).
To calculate NCI, we summed all the absolute values of all matrix elements in either C or PC divided by N(N - 1), a normalization factor equal to the total number of pairs contained in the sum minus the principal diagonal elements; thus, the NCI ignores all diagonal elements C ii and PC ii, as they are equal to 1 in both C and PC matrices.
Elements below the main diagonal become forward connections, whereas the main diagonal elements a 1, 1, …, a N s, N s describe local feedbacks or self-regulations, while the elements above the main diagonal represent global feedbacks.
Other non-principal diagonal compliance elements can be used to indicate the parasitic motion [23].
It can be seen that H H H becomes a square matrix in which all the elements of the principal diagonal are twos and all other elements are zeros when (e^{jbeta (d_{11}-d_{21} d_{11}-d_{21}_{12}+e^{jbeta = 0phantom {d_{12}-d_{22} d_{12}-d_{22}
The G l,l) elements on the principal diagonal represent the main beam gain, weighting the useful signal for the l th radar.
In the first block, the elements of the principal diagonal represent the shares of individuals who do not switch in each year7.
Figure 8 shows the norm of the vector difference between the 10 elements of the principal diagonal of the simulated matrix and those of the estimated matrix for and.
For an invertible matrix A, (A^{-1}) denotes the inverse matrix of A. The matrix (operatorname{Diag}{ a_{1}, a_{2}, ldots, a_{n}}) denotes the diagonal matrix, where (a_{i}) ((iin mathbb{N}_{n})) are the elements of the principal diagonal.
