Sentence examples for rank dimension from inspiring English sources

We provide an explicit description and classification of finite rank dimension groups, in the following sense.

This paper systematically studies finite rank dimension groups, as well as finite-dimensional ordered real vector spaces with Riesz interpolation.

We show that every finite rank dimension group can be realized as a subgroup of a finite-dimensional ordered real vector space with Riesz interpolation via a canonical embedding.

We establish six equivalent characterisations of the proper subclass which satisfies the strong form of Elliott's classification conjecture: two C∗-algebraic (Z-stability and approximate divisibility), one K-theoretic (strict comparison of positive elements), and three topological (finite decomposition rank, slow dimension growth, and bounded dimension growth).

The target rank (or dimension) r is the only user-defined parameter in dimension reduction step.

In our experiments, the number of mixtures of UBM (or GMM) is 1024, and total variability space T is a rectangular matrix of low rank with dimension 1024*56 by 400.

There are two important parameters in LRAcluster: the rank (or dimension) of the reduced subspace r and the cluster number c.

In telecommunication applications, the structure parameters (rank, mode dimensions, and core tensor dimensions) of a PARAFAC or Tucker model are design parameters that are chosen in function of the performance desired for the communication system.

In order to assess the usefulness of radiolabeled white cell scanning in the diagnosis of intestinal inflammation, subjects were asked to rank several dimensions of preference for white cell scanning in relation to other diagnostic tests.

Once you have your project page with all the results you can compare like for like or order them ranked by dimensions etc.

where J ⋅ S = { j s | j ∈ J, s ∈ S } and p ̃ ( J ) = ∑ j ∈ J p ̃ ( j ) and for a set of numbers Λ, rank denotes the dimension of Λ as a set of vectors over the field of rational numbers Q.