A hyperpower iterative method for computing the generalized Drazin inverse of Banach algebra element

A quadratically convergent Newton-type iterative scheme is proposed for approximating the generalized Drazin inverse \(b{^\mathrm d}\) of the Banach algebra element b. Further, its extension into the form of the hyperpower iterative method of arbitrary order \(p\ge 2\) is presented. Convergence criteria along with the estimation of error bounds in the computation of \(b{^\mathrm d}\) are discussed. Convergence results confirms the high order convergence rate of the proposed iterative scheme.     

A molecular dynamics simulation study on trapping ions in a nanoscale Paul trap

We found by molecular dynamics simulations that a low energy ion can be trapped effectively in a nanoscale Paul trap in both vacuum and aqueous environments when appropriate AC/DC electric fields are applied to the system. Using the negatively charged chlorine ion as an example, we show that the trapped ion oscillates around the center of the nanotrap with an amplitude dependent on the parameters of the system and applied voltages. Successful trapping of the ion within nanoseconds requires an electric bias of GHz frequency, in the range of hundreds of mV. The oscillations are damped in the aqueous environment, but polarization of water molecules requires the application of a higher voltage bias to reach improved stability of the trapping. Application of a supplemental DC driving field along the trap axis can effectively drive the ion off the trap center and out of the trap, opening up the possibility of studying DNA and other charged molecules using embedded probes while achieving a full control of their translocation and localization in the trap.     

Influence of heat treatment of goat milk on casein micelle size,rheological and textural properties of acid gels and set type yoghurts

Acid gels and yoghurts were made from goat milk that was heated at 72°C/30 s, 85°C/5 min, and 95°C/5 min, followed by acidification with starter culture at 43C until pH 4.6. The rheological and textural properties of acid gels and yoghurts were analyzed using dynamic low amplitude oscillatory rheology and back extrusion texture analysis, respectively. The effect of goat milk heat treatment on the mean casein micelle diameter and protein profile was also determined by dynamic light scattering and SDS PAGE electrophoresis, respectively. The shortest gelation and fermentation time was recorded for yoghurt prepared from milk heated at 85°C/5 min. Also, the pH of gelation, the storage moduli (G′) and yield stress were higher for this yoghurt, compared with the other two. Textural properties of goat milk yoghurts such as firmness and consistency were strongly affected by milk heat treatment, and the highest values were recorded for yoghurt produced from milk preheated at 85°C/5 min, as well. The largest casein micelles were measured after 85°C/5 min treatment and their size decreased at higher temperature, despite higher denaturation of whey proteins at the most intense heat regime, indicating the structure changes that influence on the acid gelation.     

Thermal noise in aqueous quadrupole micro- and nano-traps

ABSTRACT: Recent simulations and experiments with aqueous quadrupole micro-traps have confirmed a possibility for control and localization of motion of a charged particle in a water environment, also predicting a possibility of further reduction of the trap size to tens of nano-meters for trapping charged bio-molecules and DNA segments. We study the random thermal noise due to Brownian motion in water which significantly influences the trapping of particles in an aqueous environment. We derive the exact, closed-form expressions for the thermal fluctuations of position and velocity of a trapped particle and thoroughly examine the properties of the rms for the fluctuations as functions of the system parameters and time. The instantaneous signal transferring mechanism between the velocity and position fluctuations could not be achieved in the previous phase-average approaches.     

A simple model for a numerical determination of electrical characteristics of a pillar foundation grounding system

Unknown leakage current distributions from vertical wire ground electrodes which form an armature of a pillar foundation grounding system are determined in this paper. Electrode system is fed by a very low-frequency current. The leakage currents are determined by a numerical solving of a scalar potential integral equation (SPIE) system. It is realized using the moment method, which actually presents the indirect boundary element method. For longitudinal current along the wire conductor's axes, a polynomial approximation of the first order is used. Then, grounding impedance and electric scalar potential (ESP) distribution on the ground surface in the surrounding of the grounding system are determined. In order to do that, the foundation grounding system is assumed as a homogeneous semi-conducting semi-spherical domain with equally located vertical wire electrodes, treating the surrounding ground as a lossy half-space. In order to form the SPIE system, new approximate expressions for the Green functions of ESP are proposed.     

IntelligentPooling: practical Thompson sampling for mHealth

Machine Learning - In mobile health (mHealth) smart devices deliver behavioral treatments repeatedly over time to a user with the goal of helping the user adopt and maintain healthy behaviors....     

Development of an avian model for restenosis

Recurrence of atherosclerotic plaque growth after interventional therapy, restenosis, is a significant clinical problem occurring in 20%-50% of cases. We have developed a new avian model for the investigation of restenosis after arterial injury in cholesterol fed White Leghorn roosters. Atherosclerotic plaque growth 1-30 weeks after angioplasty balloon mediated endothelial injury in the abdominal aorta was studied in 37 roosters. Roosters were maintained on either normal poultry diet or high cholesterol diet. Twelve cholesterol fed roosters were also fed a hormone supplemented diet in order to modify plaque morphology. The procedural success rate was high. Angiographic stenoses (mean 36% with maximum of 74%) were detectable in cholesterol fed roosters after balloon angioplasty with associated histological evidence of plaque growth (P < 0.017). Cholesterol feeding enhanced fatty plaque growth; hormone manipulation increased calcific and ulcerated plaque but with high associated morbidity. Three interventional devices were subsequently examined in 32 roosters (16 laser angioplasty, 7 atherectomy, and 9 stent implant). Plaque development was again assessed by contrast angiography and histological analysis. We conclude that balloon mediated arterial injury in cholesterol fed roosters produces early proliferative and late, complex atherosclerotic lesions providing an inexpensive model for plaque development after intimal injury.     

Artificial Intelligence Clone Generated Content toward Robot Creativity and Machine Mindfulness

Mobile Networks and Applications - In the project Syntropic Counterpoints, we are using discussions between Artificial Intelligence clones to generate creative content. Nevertheless, our focus is...