Sentence examples for group of matrices from inspiring English sources

The same holds true for G-weakly invariant designs, G being any compact group of matrices.

The following subgroup of this group (of matrices over the field (mathbb {F}_2)) was considered in [38].

Then it can be shown that this local subgroup generates a subset in the group of matrices which is an image of a smooth injective Lie group homomorphism.

In this Note, we state a polynomial characterization of weakly invariant designs and show how to derive the construction of weakly invariant designs for the action of a compact group of matrices on an experimental domain, whose interior is not empty, from the construction of rotatable designs.

We will also extend our comments to ADAMTS1, a member of a relatively novel group of matrix metalloproteinases with thrombospondin repeats and shown to affect endothelial cell function and angiogenesis.

Recently, many studies have focused on a group of matrix proteins known as "matricellular" proteins for their function in extracellular signal modulation and coordination [ 3].

Timp2 belongs to a group of matrix inhibitors of metalloproteinases, whose potential tissue repair-promoting effect has been recently exploited as a therapeutic target in acute brain injuries [ 23].

Collagen fibrils are degraded by a group of matrix metalloproteinases (MMPs) including collagenases (MMP-1, MMP-8 and MMP-13), gelatinase A (MMP-2) and MT1-MMP (MMP-14).

The theory of Lie algebras and Lie groups shows that there are only a few sensible ways to measure properties of figures in a linear space and that these methods yield groups of motions leaving the figures, which are (more or less) groups of matrices, unaltered.

We have the following lemma regarding the relationships between the two groups of matrices as N→∞.

It is well known that linear groups (that is subgroups of groups of matrices (GL_N Bbbk )), where (Bbbk ) is a field) is quite a restrictive class of groups as the Tits alternative [48] holds for them.