Sentence examples for with determinant from inspiring English sources

For an orthogonal matrix with determinant 1, we define (1.11).

A unitary matrix with determinant equal to one can be constructed as the product of elementary unitary matrices with determinant equal to one [13].

depends on an effective spacetime metric - with determinant - given by [12 14] (7).

If the defining representation of G is the direct sum of finite dimensional representations with determinant one the fixed point subalgebra OG of O∞ is a simple C∗-algebra.

We construct unitary matrices with determinant one as a product of 1 2 N ( N − 1 ) elementary N-dimensional unitary matrices A = ∏ i = 1 N ∏ j = i + 1 N T ij.

Let Cp + q be equipped with a hermitian form of signature (p, q) and let SU p, q) denote the subgroup of the corresponding invariance group U p,q) consisting of matrices with determinant 1.

where denotes the group of orthogonal matrices on with determinants 1.

Following the traditional method, we usually apply a two-stage approach to estimate efficiency and its relationship with determinants.

This analysis is conditioned on expecting a drop because I do not wish to mix determinants of certainty with determinants of expecting a rise.

The high virulence of NY99 and the attenuated phenotype of W956 were found to be associated with determinants in the nonstructural region.

Therefore, the purpose of the study is to explain dietary supplement use with determinants deriving from the Integrated Change Model (ICM) and from formative research.