We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the addition of a Chern-Simons term introduces a gauge field mass and renders finite the otherwise-divergent electromagnetic energy of the Q-ball. Similar to the case o...

The aim of the present paper is to establish some new fractional q-integral inequalities on the specific time scale: Tt0 = {t : t = t0q, n ∈ N} ∪ {0}, where t0 ∈ R, and 0 < q < 1.

By means of the Ehrhart theory of inside-out polytopes we establish a general counting theory for nonattacking placements of chess pieces with unbounded straight-line moves, such as the queen, on a polygonal convex board. The number of ways to place q identical nonattacking pieces on a board of variable size n but fixed shape is (up to a normalization) given by a quasipolynomial function of n, ...

Since the development of Optimality Theory (OT; Prince & Smolensky (2004)) and Harmonic Grammar (HG; Legendre et al. (1990)) in the 1990’s, phonological theory has focused on the grammatical constraints that conspire to produce output generalizations. In the 1970s and 1980s, however, the focus was on representations, both above and below the level of the segment. Traditional feature matrices ga...

Let X be a complex space and f : X → I R a real valued function. Then f is said to be q-convex if for any x ∈ X there exist a neighborhood U which is biholomorphic to a closed analytic set in an open set Ω ⊂ I C and a function g ∈ C(Ω) such that i∂∂g has at most q − 1 zero or negative eigenvalues at each point of Ω and f |U = g|U . The space X is called q-complete if there exists an exhaustion ...

The modulus of quasipositivity q(K) of a knot K was introduced as a tool in the knot theory of complex plane curves, and can be applied to Legendrian knot theory in symplectic topology. It has also, however, a straightforward characterization in ordinary knot theory: q(K) is the supremum of the integers f such that the framed knot (K, f) embeds non-trivially on a fiber surface of a positive tor...

It is well know that the theory of minimal blocking sets is studied by several author. Another theory which is also studied by a large number of researchers is the theory of hyperplane arrangements. We can remark that the affine space AG(n, q) is the complement of the line at infinity in PG(n, q). Then AG(n, q) can be regarded as the complement of an hyperplane arrangement in PG(n, q)! Therefor...

The hydrogen abstraction reaction of OH radical with CH3CH2OCF2CHF2 (HFE-374pc2) is investigated theoretically by semi-classical transition state theory. The stationary points on the potential energy surface of the reaction are located by using KMLYP density functional method along with 6-311++G(d,p) basis set. Vibrational anharmonicity coefficients, ...

We show that the first order theory of the Σ2 s-degrees is undecidable. Via isomorphism of the s-degrees with the Q-degrees, this also shows that the first order theory of the Π2 Q-degrees is undecidable. Together with a result of Nies, the proof of the undecidability of the Σ2 s-degrees yields a new proof of the known fact (due to Downey, LaForte and Nies) that the first order theory of the c....