$\beta \omega -\omega $ is not first order homogeneous

An evaluation of the [omega]-complexity of first order arithmetic with the constructive [omega]-rule

Is Ramsey's Theorem omega-automatic?

We study the existence of infinite cliques in ω-automatic (hyper-)graphs. It turns out that the situation is much nicer than in general uncountable graphs, but not as nice as for automatic graphs. More specifically, we show that every uncountable ω-automatic graph contains an uncountable co-context-free clique or anticlique, but not necessarily a context-free (let alone regular) clique or antic...

Omega-almost Boolean rings

In this paper the concept of an $Omega$- Almost Boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $Omega$- Almost Boolean ring over a locally Boolean space.

Mental retardation is associated with plasma omega-3 fatty acid levels and the omega-3/omega-6 ratio in children.

There is evidence that alteration in plasma fatty acid composition may play a role in certain neurological disorders. This case control study was conducted to evaluate the association between plasma fatty acid levels and mental retardation in Korean children. Plasma phospholipid fatty acids, plasma lipids, dietary fatty acids and selected nutrients were measured in 31 mentally retarded boys (me...

Omega Polynomial

A new counting polynomial, called the “Omega” Ω(G, x) polynomial, is proposed on the ground of quasi-orthogonal cut “qoc” edge strips in a bipartite lattice. Within a qoc not all cut edges are necessarily orthogonal, meaning not all are pairwise codistant. Two topological indices: CI (Cluj-Ilmenau), eventually equal to the well-known PI index, in planar, bipartite graphs and IΩ are defined on t...