Sentence examples for matrix with zeroes from inspiring English sources

The order contiguity matrix is a binary weight matrix with zeroes on the main diagonal and rows that contain zeroes when spatial units are non-contiguous, while they contain values of one between neighbouring units (Mur [2013]).

Appendix 2 gives a detailed discussion about the choice of the matrices P and Q so that the covariance matrix (boldsymbol {R}_{widetilde u}) has rank 2NN t and can be decomposed as U D U H with D as the 4NN t ×4NN t diagonal matrix with zeroes in the first 2NN t diagonal elements.

Then, the matrix (boldsymbol {R}_{widetilde u}) is decomposed as U D U H where D is the 4NN t ×4NN t diagonal matrix with zeroes in the first 2NN t diagonal elements and 2α 2 in the last 2NN t diagonal elements and U is an orthogonal matrix whose columns are the corresponding eigenvectors of (boldsymbol {R}_{widetilde u}).

This means the following: Let D = { d i j } i, j = 1 n be a dissimilarity map (this is an n × n symmetric matrix with zeroes on the diagonals and non-negative real entries).

Hence, in matrix notation, a SEM can be represented as y = Λy + Xβ + e, where Λ is a quadratic matrix with zeroes in the diagonal and with structural coefficients λ or zeroes in the off-diagonal, and y, X, β and e are appropriate vectors or matrices with the observations y's, exogenous variables x's, model parameters β's and residuals e's, respectively.

Next B* is the unit matrix with 1st column as b1,j (j is equal to 1 to 23) and 1st row is—(1 – b1,1).

Next A* is the unit matrix with 1st column as aj,1 (for j is equal to 1 to 23) and 1st row is—(1 – a1,1).

Where, A^ is the (I – A) matrix with 1st column as all zero and a1,1 is equal to −1. x^ is the output vector with 1st row as endogenous f1.

Where, B^ is the (I – B T ) matrix with 1st column as all zero and b1,1 is equal to minus 1. x^ is the output vector with 1st row as endogenous v 1.

The Table 7 shows that the supervised matrix with the 5th days is able to predict the winds of the 6th days of 1995 with a similar average prediction error of 0.98, slightly higher than the average error of 0.967 between the observed BLC5 and observed BLC6 in 1995.

UMTS [12] 1st Matrix with column permutation 4.4 1 51.5 8 UMTS [12] 2nd Matrix with column permutation 4.4 1 18.8 8 UMTS [12] HSDPA Demux, matrix with column permutation 42.0 1 1.9 8 WiMAX [13] Bit inv Matrix interleaver, algebraical interleaver.