On Some Geometric Properties of Slice Regular Functions of a Quaternion Variable

The goal of this paper is to introduce and study some geometric properties of slice regular functions of quaternion variable like univalence, subordination, starlikeness, convexity and spirallikeness in the unit ball. We prove a number of results, among which an Area-type Theorem, Rogosinski inequality, and a Bieberbach-de Branges Theorem for a subclass of slice regular functions. We also discuss some geometric and algebraic interpretations of our results in terms of maps from $\mathbb R^4$ to itself. As a tool for subordination we define a suitable notion of composition of slice regular functions which is of independent interest

The Exchange of Tritiated Water Between Zn-A Zeolitevand the Surrounding Water

Zeolites are considered as adsorbents for tritiated waste water. The sorption capacity of 4A zeolite is increased, and the speed of tritium release, as THO, decreased if sodium ions in 4A zeolite are replaced with small divalent cations. The exchange kinetics THO/H20 between Zn-A zeolite containing tritiated water and the surrounding water was investigated at 30-60 De, using zinc-exchanged 4A zeolite beads of 0.8 and 1.6 mm radius. The kinetics was controlled by the diffusion of water in the solid particle and interpreted in terrns of the Boyd - Reichenberg diffusion model. Effective self-diffusion coefficients of water in the zeolite beads were obtained and the kinetic data are discussed from the point of view of using zeolites as sorbents and storage material for tritiated waste water

Conditional BRUNO: A neural process for exchangeable labelled data

We present a neural process that models exchangeable sequences of high-dimensional complex observations conditionally on a set of labels or tags. Our model combines the expressiveness of deep neural networks with the data-efficiency of Gaussian processes, resulting in a probabilistic model for which the posterior distribution is easy to evaluate and sample from, and the computational complexity scales linearly with the number of observations. The advantages of the proposed architecture are demonstrated on a challenging few-shot view reconstruction task which requires generalisation from short sequences of viewpoints

Solvent Extraction of Vanadium (V) with N-Benzoyl-N-phenylhydroxylamine

N-Benzoyl-N-phenylhydroxylamine is a monomeric solute in chloroform which readily extracts vot from acidic aqueous solutions. The vanadium species extracted from concentrated aqueous acid solutions have a characteristic absorption band at 450-550 mμ. Solvent extraction experiments indicate that from aqueous 1-6 N HCl two vanadium species are extracted into chloroform. The compositions of these species correspond to the reagent: vanadium: chloride ratios of 2 : 1 : 1 and 3 : 1 : 1

Solvent Extraction of Vanadium (V) with N-Benzoyl-N-phenylhydroxylamine

N-Benzoyl-N-phenylhydroxylamine is a monomeric solute in chloroform which readily extracts vot from acidic aqueous solutions. The vanadium species extracted from concentrated aqueous acid solutions have a characteristic absorption band at 450-550 mμ. Solvent extraction experiments indicate that from aqueous 1-6 N HCl two vanadium species are extracted into chloroform. The compositions of these species correspond to the reagent: vanadium: chloride ratios of 2 : 1 : 1 and 3 : 1 : 1

The Elderly Poor in the EU’s New Member States. ENEPRI Research Reports No. 60, November 2008

To what extent is the financial position of the elderly in the NMS more vulnerable than that of the old member states (or the EU-15), due to a rather unfavourable starting point and the possible impact of pension reforms? This is the main issue of the current research report. It tries to delineate the vulnerability of the income position of elderly people in the NMS, in relation to the demographic, socio-economic and institutional context of these countries. More specifically, the report focuses on: - the current level of income of the elderly in the NMS, and the degree of relative poverty; - the way this position is related to the educational and labour market status of the elderly in the NMS, their retirement behaviour, institutional arrangements (notably the pension system), and demographic developments; - specific problems regarding the income position of possibly ‘marginal’ elderly groups in the NMS (such as single elderly female pensioners)

On the Surface Structure of Strange Superheavy Nuclei

Bound, strange, neutral superheavy nuclei, stable against strong decay, may exist. A model effective field theory calculation of the surface energy and density of such systems is carried out assuming vector meson couplings to conserved currents and scalar couplings fit to data where it exists. The non-linear relativistic mean field equations are solved assuming local baryon sources. The approach is calibrated through a successful calculation of the known nuclear surface tension.Comment: 12 pages, 9 figure

Self-diffusion of Cd++ Ions in Hydrated CdX Zeolite

The fractional attainment of the isotopic equilibrium between a Cd(N03)2 solution and a 115Cd-labelled CdX zeolite has been measured as a function of time, particle size of zeolite and temperature. The experimental kinetic data have been interpreted in terms of the Brown-Sherry-Krambeck model and the self-diffusivities and diffusional activation parameters of Cd++ ions in zeolite CdX have been calculated

Magnus effect on a Majorana zero mode

A supercurrent on the proximitized surface of a topological insulator can cause a delocalization transition of a Majorana fermion bound to a vortex core as a zero mode. Here we study the dynamics of the deconfinement, as a manifestation of the Magnus effect (the coupling of the superflow to the velocity field in the vortex). The initial acceleration of the Majorana fermion is ±2v2FK/ℏ, perpendicular to the Cooper pair momentum K, for a ±2π winding of the superconducting phase around the vortex. The quasiparticle escapes with a constant velocity from the vortex core, which we calculate in a semiclassical approximation and compare with computer simulations