Sentence examples for homogeneous dimensions from inspiring English sources

Let G 1 and G 2 be homogeneous groups with homogeneous norms r 1 and r 2 and homogeneous dimensions Q 1 and Q 2, respectively.

CNPs prepared from other sources were reported to show more homogeneous dimensions.

where with and    will be called the degree of homogeneity and is the homogeneous dimension if.

The homogeneous dimension of H is (2n+2m).

We then define the homogeneous dimension of G by (N=2d+2p).

The Jacobian determinant of is, where is the homogeneous dimension.

Denote by (Q=2n+2) the homogeneous dimension of ({mathbb{H}}^{n}).

The homogeneous dimension of (mathbb{H}^{N}) is (q = 2N+2).

The number Q = tr A is the homogeneous dimension of G.

The number Q defined above is called the homogeneous dimension (mathbb{H}^{N}).

If, then we get the Rellich inequality on the Heisenberg group with homogeneous dimension : (3.18).