We compare two different root-finding methods, eigenvalue methods and homotopy methods, using three test problems: Mandelbrot polynomials, Fibonacci-Mandelbrot polynomials, and Narayana-Mandelbrot polynomials. For the eigenvalue methods, using both MATLAB and Maple, we computed the eigenvalues of a specialized recursively-constructed, supersparse, upper Hessenberg matrix, inspired by Piers Lawr...

Drawing on the parallel between general relativity and Yang-Mills theory we obtain an exact Schwarzschild-like solution for SU(2) gauge fields coupled to a massless scalar field. Pushing the analogy further we speculate that this classical solution to the Yang-Mills equations shows confinement in the same way that particles become confined once they pass the event horizon of the Schwarzschild s...

Glycodendrimers based on aromatic cores have an amphiphilic character and have been reported to generate supramolecuar assemblies in water. A new group of glycodendrimers with an aromatic rod-like core were recently described as potent antagonists of DC-SIGN-mediated viral infections. A full characterization of the aggregation properties of these materials is presented here. The results show th...

In a series of papers published over the past few years, [1]? [2]s a method called the combinatorics function techniques or CFT5 was perfected to obtain the solution of any linear partial difference equation subject to a set of initial values. Fibonacci-like recursion relations are a special case of difference equations that could be solved by the CFT method,, Although many applications of the ...

I point out that all the arguments available in the literature against an astrophysical solution of the solar neutrino problem(s) do not exclude a yet not recognised class of solar models, in which an explosive energy source is present in the solar core besides the standard proton-proton and CNO cycle. It is shown from first principle physics that stars have a non-equilibrium energy source as w...

fe3o4-containing cotton-like mesoporous silica system (fe3o4@ncsm) was studied with regard to its performance towards the photodecolorization of bromothymol blue (btb) aqueous solution. the surface properties of the functionalized catalyst were analyzed by a series of characterization techniques like ftir, xrd, bet, sem and tem. the n2 adsorption–desorption analysis shows that the mesostructure...

the role of polymeric additives such as pvp and peg is studied with respect to the morphology of pes porous layer as a sublayer of nanofiltration composite membranes based on pes/pa. results show that by phase inversionprocess of quaternary systems comprised of four components of polymer/solvent/non-solvent/additive and the diffusion of intertwined polymers some changes occur in membrane morpho...

We propose an efficient semi‐numerical approach to compute the steady‐state probability distribution for the number of requests at arbitrary and at arrival time instants in Ph/M/c‐like systems in which in the inter‐arrival time distribution is represented by an acyclic set of memoryless phases. Our method is based on conditional probabilities and results in a ...