Sentence examples for matrices was sufficient from inspiring English sources

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

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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.

The relatively large pore size of the alginate matrix was sufficient to allow astrocytes to extend their processes and to maintain cell clusters within an individual pore (Fig.  4).

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.

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.

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.

In some literature, such as [32 34], it is known that warping cepstral-based features between different speakers is achieved by linear transformation with an adaptation matrix, and a few diagonal elements (such as tridiagonal, pentadiagonal, and heptadiagonal) of the adaptation matrix are sufficient for warping the cepstral features.

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