Sentence examples for matrices is sufficient from inspiring English sources

They showed that for many applications, a naive unweighted sum of matrices is sufficient unless multiple noisy data sets are among the available data sets, and that optimization of the weights is only beneficial when sufficient data are available to more reliably estimate the weights.

Addition of fibronectin fragments to these other matrices was sufficient to elicit the invasive phenotype [ 10].

It is shown that only the rigid body inertia matrix is sufficient to design the controller.

The differences between these source positions (the residuals) are used to determine whether the transformation matrix is sufficient, or whether certain source pairs should be excluded (e.g., mismatched sources) and the transformation calculation repeated.

Colourability of the ORMOCER® matrix is sufficient to adjust nearly any shade and intensity of a given colour pattern even at the low coating thicknesses of 5 20 μm which are characteristic for the inorganic organic polymers.

These schemes allow us to simplify the calculations, and matrix equation with only one matrix is sufficient for calculations.

What makes each of these doctrines an end-state view is their shared conviction that the information provided by this sort of matrix is sufficient for determining which of the available distributions is the just one.

Therefore, the need of generating all loops were eliminated in this technique [21] and only fundamental circuit matrix is sufficient to generate all the B/P as well as BPS.

Therefore, if the clarity level is high, the signal is treated as a high SNR signal and a small number of ones found in a frame of the binary matrix is sufficient to determine that the frame is dominated by the speech.

The energy contained in the matrix is sufficient for analyte ionization and has been discussed to be related to luminescence characteristics of the small molecule compound.

It is shown here that the singular-value decomposition is not needed to derive the approximation error, the polar decomposition of the homogeneous transformation matrix being sufficient.