‎let $g$ be a graph and $chi^{prime}_{aa}(g)$ denotes the minimum number of colors required for an‎ ‎acyclic edge coloring of $g$ in which no two adjacent vertices are incident to edges colored with the same set of colors‎. ‎we prove a general bound for $chi^{prime}_{aa}(gsquare h)$ for any two graphs $g$ and $h$‎. ‎we also determine‎ ‎exact value of this parameter for the cartesian product of ...

BACKGROUND Before human MII oocytes are vitrified they are usually denuded from their cumulus cells. In this study we wanted to investigate the effects of an intact corona radiata on the vitrification and fertilization of human oocytes. METHODS The study comprised two different parts. In Part 1, 36 MII stage oocytes, from 6 patients, were randomly assigned into a control group, a group of vit...

Neuronal activity causes substantial Na+ transients in fine cellular processes such as dendrites and spines. The physiological consequences of such Na+ transients are still largely unknown. High-resolution Na+ imaging is pivotal to study these questions, and, up to now, two-photon imaging with the fluorescent Na+ indicator sodium-binding benzofuran isophthalate (SBFI) has been the primary metho...

Minimizing the voltage of corona discharges, especially when using nanomaterials, has been of great interest in the past decade or so. In this paper, we report a new corona discharge device by using ZnO nanowires operated in atmospheric air to realize continuous corona discharge excited by hundreds of volts. ZnO nanowires were synthesized on microelectrodes using electric-field-assisted wet che...

Most astrophysical sources powered by accretion onto a black hole, either of stellar mass or supermassive, when observed with hard X-rays show signs of a hot Comptonizing component in the flow, the so-called corona, with observed temperatures and optical depths lying in a narrow range (0.1τ1 and 1×109KT 3×109 K). Here we argue that these facts constitute strong supporting evidence for a magneti...

BACKGROUND Nanoparticles in contact with biological fluids interact with proteins and other biomolecules, thus forming a dynamic corona whose composition varies over time due to continuous protein association and dissociation events. Eventually equilibrium is reached, at which point the continued exchange will not affect the composition of the corona. RESULTS We developed a simple and effecti...

We develop a model of the fluctuation dynamo in which the magnetic field is confined to thin flux ropes advected by a multiscale model of turbulence. Magnetic dissipation occurs only via reconnection of the flux ropes. This model can be viewed as an implementation of the asymptotic limit R_{m}-->infinity for a continuous magnetic field, where magnetic dissipation is strongly localized to small ...

We study the limit shape of successive coronas of a tiling, which models the growth of crystals. We define basic terminologies and discuss the existence and uniqueness of corona limits, and then prove that corona limits are completely characterized by directional speeds. As a result, we show that the corona limit of a periodic tiling is a convex polyhedron which is symmetric with respect to the...

Corona discharges exist in a variety of forms (streamer and diffuse, steady and pulsed) and have multi-scale nature (in both space and time). High spatial resolution is required to analyze ionization fronts, streamers and Trichel pulses observed in corona discharges. We present multi-dimensional simulations of corona and glow discharges with adaptive Cartesian mesh using fluid models. Effects o...

Abstract. A new approach of the Polarity Effect in connection to the Corona Current and the Ground Effect in small rod-plate and rod-rod air gaps is presented. The influence of the polarity of the applied voltage to the corona onset voltage or the breakdown voltage of small rod-plate and rod-rod air gaps is investigated. The influence of the grounding of one of the electrodes, to the field dist...