Sentence examples for groups of equal dimension from inspiring English sources

Let G1and G2be connected, simply connected, nilpotent Lie groups of equal dimension.

[[13], Theorem 3.1] Let G1, G2be oriented, connected, simply connected, nilpotent Lie groups of equal dimension.

Let G1and G2be connected, simply connected, nilpotent Lie groups of equal dimension with associated Lie algebras g 1 and g 2 respectively.

Let β V be a basis for V and β W a basis for W, then we use L β W β V to denote the matrix corresponding to L, where this matrix is expressed with respect to the bases β V and β W. Let G1 and G2 be oriented, connected, simply connected, nilpotent Lie groups of equal dimension with associated Lie algebras g 1 and g 2. Let Λ1 be a uniform lattice in G1 and Λ2 a uniform lattice in G2.

Let M1and M2be orientable infra-nilmanifolds of equal dimension modeled on connected, simply connected, nilpotent Lie groups G1and G1andpectively.

Let M1 and M2 be oriented, closed, connected manifolds of equal dimension.

The phenotypic quantitative variables were split into 5 classes of equal dimension (see Methods).

where n N is the number of the pores of equal dimensions.

The two types are of equal dimensions: span length=10.1 m, upper flange width=150 cm, column height=4.65 m.

Thus, the flag is defined as having a ratio of 2 3, with the colored stripes of equal dimensions.

Repeat the above steps with another two poles of equal dimensions.