A solution to the BI action describing an expanded D3-brane is considered. The configuration is not supersymmetric but is supported against collapse by the Poynting vector. In the uniform magnetic field limit, the brane magnetic charge grows without limit while the energy and the radius of the brane remain finite. In this limit the brane consists of a large number of small D-strings forming a h...

In this paper we generalize the shift radix systems to finite dimensional Hermitian vector spaces. Here the integer lattice is replaced by the direct sum of imaginary quadratic Euclidean domains. We prove in two cases that the set of one dimensional Euclidean shift radix systems with finiteness property is contained in a circle of radius 0.99 around the origin. Thus their structure is much simp...

Discuss the scattering of a plane electromagnetic wave of angular frequency ω that is incident on a perfectly conducting sphere of radius a, which is at rest, when the wavelength obeys λ a (ka 1). Calculate the electromagnetic fields and the Poynting vector everywhere, and interpret these fields in both the near and far zones. Consider incident electromagnetic waves of both linear and circular ...

The paper suggests a new — to the best of the author’s knowledge — characterization of decisions which are optimal in the multi-objective optimization problem with respect to a definite proper preference cone, a Euclidean cone with a prescribed angular radius. The main idea is to use the angle distances between the unit vector and points of utility space. A necessary and sufficient condition fo...

The test mask TM is the minimum neighbourhood sufficient to extract the medial axis of any discrete shape, for a given chamfer distance mask M. We propose an arithmetical framework to study TM in the case of chamfer norms. We characterize TM for 3×3 and 5×5 chamfer norm masks, and we give an algorithm to compute the appearance radius of the vector (2, 1) in TM.

We consider a vector minimax Boolean programming problem. The problem consists in finding the set of Pareto optimal solutions. When the problem’s parameters vary then the optimal solution of the problem obtained for some initial parameters may appear non-optimal. We calculate the maximal perturbation of parameters which preseves the optimality of a given solution of the problem. The formula for...

In this article, we prove a Lichnerowicz estimate for a compact convex domain of a Kähler manifold whose Ricci curvature satisfies Ric ≥ k for some constant k > 0. When equality is achieved, the boundary of the domain is totally geodesic and there exists a nontrivial holomorphic vector field. We show that a ball of sufficiently large radius in complex projective space provides an example of a s...

Cohomology fractals are images naturally associated to cohomology classes in hyperbolic three-manifolds. We generate these for cusped, incomplete, and closed three-manifolds real-time by ray-tracing a fixed visual radius. discovered while attempting illustrate Cannon–Thurston maps without using vector graphics; we prove correspondence between two, when the class is dual fibration. This allows u...

We present a novel relativistic density-functional approach to modeling quark matter with mechanism mimic confinement. The quasiparticle treatment of quarks provides their suppression due large selfenergy already at the mean-field level. demonstrate that our is equivalent chiral model medium-dependent couplings. dynamical restoration symmetry ensured by construction density functional. Suppleme...

Abstract In this article, we study a generalized Bohr radius $R_{p, q}(X), p, q\in [1, \infty )$ defined for complex Banach space X . particular, determine the exact value of q}(\mathbb {C})$ cases (i) $p, 2]$ , (ii) $p\in (2, ), and (iii) [2, Moreover, consider an n -variable version q}^n(X)$ quantity q}(X)$ q}^n(\mathcal {H})$ infinite-dimensional Hilbert $\mathcal {H}$ precise asymptotic as ...