Sentence examples for matrices extend to from inspiring English sources

The very same addition and multiplication operations of matrices extend to this setting, too.

On the opposite (eastern) side of the river an extensive rampart of material with a similar reddish matrix extends to approximately 1200 m, while an elongated ridge with a crest elevation of 900 m extends some 6 km downstream, parallel to the present river course (Figure 2).

In particular, in the NS group there was disappearance of surface layer cells, and loss of the cartilage matrix extended to the calcified zone.

Previous results on robust stability of Metzlerian matrices are extended to matrix polynomials, with the coefficient matrices having exactly the same Metzlerian structure.

Potter's scheme of solving tridiagonal block matrices is extended to the present analysis.

Modern numerical techniques employing properties of flux Jacobian matrices are extended to general, nonequilibrium flows.

For larger k this difference in the correlation matrices is extended to all the dropped treatments at interim, so that the differences between unbalanced and balanced critical boundaries tend to increase with increasing k which in the end leads to an increase in the maximum type 1 error rate.

The biological responses studied range from protein adsorption and platelet activation and extend to angiogenesis, matrix metalloproteinase secretion, immune recognition, and a wide variety of other biological phenomena.

The method, originally conceived for intricate fracture networks in impervious rock matrices, is here extended to fractures in a porous permeable rock matrix.

The classical Aveston Cooper Kelly shear-lag model for predicting the first matrix cracking strength in a brittle matrix composite is extended to the case of a hybrid brittle matrix composite containing both micro-scale and nano-scale fibers.

In [22], the multiplication of matrices has been extended to tensors.