In this paper a novel transmission scheme that combines non-orthogonal multiple access (NOMA) and multi-carrier index keying (MCIK) is proposed. This scheme is proposed as a mechanism to enable multiple access for dense wireless device-to-device (D2D) systems that require high energy efficiency and effective interference management. The performance of the proposed scheme is analyzed in terms of...

We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissibility. The rules extend Expected Utility theory as they require that an option is inadmissible if there is another that carries greater expected utility for each probability in a (closed) convex set. If the convex set i...

The distribution of pairwise, relative peculiar velocities, f(u; r), on small nonlinear scales, r, is derived from the Press{Schechter approach. This derivation assumes that Press{Schechter clumps are virialized and isothermal. The virialized assumption requires that the circular velocity, Vc / M , where M denotes the mass of the clump. The isothermal assumption means that the circular velocity...

The distribution of pairwise relative peculiar velocities, f(u;r), on small non-linear scales, r, is derived from the Press{Schechter approach. This derivation assumes that Press{Schechter clumps are virialized and isothermal. The virialized assumption requires that the circular velocity V c / M 1=3 , where M denotes the mass of the clump. The isothermal assumption means that the circular veloc...

Let G be a graph of order n with an edge coloring c, and let δ(G) denote the minimum color degree of G, i.e., the largest integer such that each vertex of G is incident with at least δ(G) edges having pairwise distinct colors. A subgraph F ⊂ G is rainbow if all edges of F have pairwise distinct colors. In this paper, we prove that (i) if G is triangle-free and δ(G) > n3 + 1, then G contains a r...

We introduce strong separation axioms in bitopological spaces. We also introduce the notion of strong pairwise compactness.

It was already known that there exists a family of continuum many pairwise orthogonal elements of R. A family F ⊆ R \ 0 of pairwise orthogonal sequences is orthogonally complete or a maximal orthogonal family iff the only element of R orthogonal to every element of F is 0, the constant 0 sequence. It is somewhat surprising that Kunen’s perfect set of orthogonal elements is maximal (a fact first...

A bisection of a set U is a partition of U into two nonempty parts. Two bisections are parallel if they collectively partition U into three parts. A natural model for a family of pairwise parallel bisections is a tree. Given a bisection family F and a family T of pairwise parallel bisections, we suggest decomposition/composition tools for modeling F based on T . We introduce plant models result...

From a pseudo-triangulation with n tetrahedra T of an arbitrary closed orientable connected 3-manifold (for short, a 3D-space) M, we present a gem J , inducing S, with the following characteristics: (a) its number of vertices is O(n); (b) it has a set of p pairwise disjoint couples of vertices {ui, vi}, each named a twistor; (c) in the dual (J ) of J ′ a twistor becomes a pair of tetrahedra wit...

For positive integers k, n let f(n, k) be the maximal cardinality of subsets of integers in the interval < 1, n > , which don’t have k + 1 pairwise coprimes. The set E(n, k) of integers in < 1, n > , which are divisible by one of the first k primes, certainly does not have k + 1 pairwise coprimes. Whereas we disproved in [1] an old conjecture of Erdös ([4], [5], [6], [7]) by showing that the eq...