Sentence examples for homogeneous dimension from inspiring English sources

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

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

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

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

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).

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.

This study aims to: (1) identify homogeneous symptom dimensions via item-level factor analysis on a large heterogeneous OCD patient sample; (2) examine potential associations between identified symptom dimensions and selected clinical characteristics; and (3) conduct heritability analyses on identified factors in a subset of OCD families.

This study provides evidence that OCD diagnosis may be dissected into non-mutually exclusive, consistent and homogeneous symptom dimensions, given the stability of symptoms within factors across models, the high internal consistency of the factors, and the high heritability estimates of the factors.

Homogeneous in size dimension and morphology, nanosized, single phase Ce Zr solid solutions with various compositions were synthesized by the sol gel like method.