Sentence examples for matrices were always from inspiring English sources

The maximum observed differences between two independent (50,000 iterations each) estimates of the covariance matrices were always less than approximately 10% of the smallest estimated covariance, indicating good convergence between runs.

Usually, if not explicitly specified, matrices are always assumed to have compatible dimensions.

Furthermore, the scaling matrices are always chosen as the constant matrices in the previous combination synchronization schemes within two drive systems and one response system.

Even though the correlation matrices are always symmetric, hence in practice requiring the computation only of half of their entries, the computational overhead for such a procedure is of complexity O ( N 2 ).

We can roughly call these series permutative the number of ones is similar (e.g., for unitary matrices is always equal to 4), but they occupy other positions in series.

The first model has 0 df, and hence the implied and observed covariance matrices are always equal, and the χ2 is equal to zero.

This implies that the A-matrix is always diagonal.

A blank matrix is always desired for all types of quantitative analyses.

As indicated in [6], directly employing the lookup tables for saving multiple H-matrices is always prohibitive.

Moreover, we assume that the input matrix is always nonsingular when the supporting foot makes flat contact with the ground and that the contact force is always feasible.

Because the total variability matrix is always a low-rank rectangular matrix, a dimension reduction process is also imposed by the i-vector extractor [12].