A nano-hybrid based on polystyrene derivatives and magnetite was introduced as a new sorbent for pretreatment and determine the trace amount of malachite green from aqueous solution by spectrophotometry after preconcentration by solid phase extraction (SPE). UV–Vis spectrophotometer was used for determination of MG concentration after desorption of the dye by hydrochloric acid solution in the s...

Abstract In the setting of higher-dimensional anisotropic Heisenberg group, we compute fundamental solution for sub-Laplacian, and prove Poincaré $$\beta $$ ? -Logarithmic Sobolev inequalities measures as a function this solution.

in this research, the removal of malachite green dye from textile wastewaters using polyaniline coated onto sawdust (pani/sd) has been investigated. ammonium peroxodisulphate was used as chemical oxidant for polymerization of polyaniline directly on the surface of sawdust. the effects of some important parameters such as ph, initial concentration, sorbent dosage, exposure time and temperature o...

background and aims. anticariogenic effects of different mouthrinses have been shown previously. in this in vitro study the anticariogenic effects of polyphenol extract of green tea with 0.05% fluoride, 0.2% chlorhexidine and fluoride-chlorhexidine were compared. materials and methods. this in vitro study was performed on 50 maxillary premolars in 5 groups: 1) normal saline; 2) a 10% solution o...

This paper provides a solution to the fundamental linear fractional order differential equation, namely, cdtqx(t) + ax(t) = bu(t). The impulse response solution is shown to be a series, named the F-function, which generalizes the normal exponential function. The F-function provides the basis for a qth order "fractional pole". Complex plane behavior is elucidated and a simple example, the induct...

We investigate multiterminal quantum transport through single monocyclic aromatic annulene molecules, and their derivatives, using the nonequilibrium Green function approach within the self-consistent Hartree-Fock approximation. We propose a new device concept, the quantum interference effect transistor, that exploits perfect destructive interference stemming from molecular symmetry and control...

In this study, we presented the high-order fundamental solutions and general solutions of convection-diffusion equation. To demonstrate their efficacy, we applied the highorder general solutions to the boundary particle method (BPM) for the solution of some inhomogeneous convection-diffusion problems, where the BPM is a new truly boundaryonly meshfree collocation method based on multiple recipr...

We consider ®rst the spline smoothing nonparametric estimation with variable smoothing parameter and arbitrary design density function and show that the corresponding equivalent kernel can be approximated by the Green function of a certain linear differential operator. Furthermore, we propose to use the standard (in applied mathematics and engineering) method for asymptotic solution of linear d...