We introduce the concept of degree of polarization for electromagnetic near fields. The approach is based on the generalized Stokes parameters that appear as expansion coefficients of the 3 x 3 coherence matrix in terms of the Gell-Mann matrices. The formalism is applied to optical near fields of thermally fluctuating half-space sources with particular interest in fields that are strongly polar...

BackgroundCongenital generalized lipodystrophy (CGL) is a rare disease. It is associated with near total fat loss, severe insulin resistance and hypoleptinemia leading to metabolic derangements.Case PresentationWe report a 25- year- old female with 1-Acylglycerol-3-phosphate-O-acyltransferase 2 (APGAT2) mutation, and both sclerotic and lytic bone lesions together for the first time. Bone cyst i...

The inequality of Higman for generalized quadrangles of order (s, t) with s > 1 states that t ≤ s. We will generalize this by proving that the intersection number ci of a regular near 2d-gon of order (s, t) with s > 1 satisfies the tight bound ci ≤ (s − 1)/(s − 1), and we give properties in case of equality. It is known that hemisystems in generalized quadrangles meeting the Higman bound induce...

presented here is a generalization of the implicit enumeration algorithm that can be applied when the objec-tive function is being maximized and can be rewritten as the difference of two non-decreasing functions. also developed is a computational algorithm, named linear speedup, to use whatever explicit linear constraints are present to speedup the search for a solution. the method is easy to u...

We present a general microscopic first-principles method to study the Coulomb-interaction-mediated heat transfer in near field. Using nonequilibrium Green's function formalism, we derive Caroli formulas for transfers between materials with translational invariance. The central physical quantities are screened Coulomb potential and spectrum of polarizability. Within random phase approximation, c...

We introduce a mixture of generalized hyperbolic distributions as an alternative to the ubiquitous mixture of Gaussian distributions as well as their near relatives of which the mixture of multivariate t and skew-t distributions are predominant. The mathematical development of our mixture of generalized hyperbolic distributions model relies on its relationship with the generalized inverse Gauss...

The paper is devoted to a detailed study of the effects quantum corrections on chaotic behavior in dynamics (massless) probe particle near horizon generalized Schwarzschild black hole. Two possible origins inducing modification hole metric are considered separately; noncommutative geometry inspired (suggested by Nicolini, Smailagic and Spallucci) with field theoretic (derived Donoghue). Our res...

Based on the theory of Fermat reals we introduce new topologies on spaces of Colombeau generalized points and derive some of their fundamental properties. In particular, we obtain metric topologies on the space of near-standard generalized points that induce the standard Euclidean topology on the reals. We also give a new description of the sharp topology in terms of the natural extension of th...