There is a large amount of remote sensing data available for land use and land cover (LULC) classification and thus optimizing selection of remote sensing variables is a great challenge. Although many methods such as Jeffreys–Matusita (JM) distance and random forests (RF) have been developed for this purpose, the existing methods ignore correlation and information duplication among remote sensi...

In this paper we apply results from algebraic number theory to subgroup separability of linear groups. We then state applications to subgroup separability of free products with amalgamation of hyperbolic 3-manifold groups.

Neural networks use their hidden layers to transform input data into linearly separable data clusters, with a linear or a perceptron type output layer making the final projection on the line perpendicular to the discriminating hy-perplane. For complex data with multimodal distributions this transformation is difficult to learn. Projection on k ≥ 2 line segments is the simplest extension of line...

In overloaded CDMA systems the high correlation among users’ signatures determines an overall performace that can be quite poor even for the optimal ML receiver. The geometric properties of signatures affect users’ separability, a condition that is necessary for achieving asymptotic efficiency. In this paper we establish gaussian separability conditions and propose an algorithm for the design o...

In multiuser wireless systems using multiple antennas in a multipath environment it has been asserted that whenever users are at least a distance of =2 apart, it is possible to recover their respective signals with appropriate signal processing [1]. This paper significantly strengthens this remarkable assertion by: 1) showing explicitly that separability of the users’ signals is possible using ...

We give out the time evolution solution of simultaneous amplitude and phase damping for any continuous variable state. For the simultaneous amplitude and phase damping of a wide class of twomode entangled Gaussian states, two analytical conditions of the separability are given. One is the sufficient condition of separability. The other is the condition of PPT separability where the Peres-Horode...

In this note, we give characterizations for certain HNN extensions of polycyclic-by-finite groups with central associated subgroups to be subgroup separable and conjugacy separable. We shall do this by showing the equivalence of subgroup separability and conjugacy separability in this type of HNN extensions. 2000 Mathematics Subject Classification: Primary 20E06, 20E26; Secondary 20F10, 20F19

Derivations are discussed in Appendix B. The proofs of Theorems 1.1 and 1.2 both use tensor products. For those two proofs, the reader should be comfortable with the fact that injectivity and surjectivity of a linear map of vector spaces can be detected after a base extension: a linear map is injective or surjective if and only if its base extension to a larger field is injective or surjective....

Separability is one of the most basic and important topological properties. In this paper, separability in (strongly) gyrogroups studied. It proved that every first-countable left ?-narrow strongly gyrogroup separable. Furthermore, it shown if a feathered G isomorphic to subgyrogroup separable gyrogroup, then Therefore, metrizable separable, locally compact

We investigate separability of Laplacian matrices of graphs when seen as density matrices. This is a family of quantum states with many combinatorial properties. We firstly show that the well-known matrix realignment criterion can be used to test separability of this type of quantum states. The criterion can be interpreted as novel graph-theoretic idea. Then, we prove that the density matrix of...