nafion is a perfluorinated anionic polyelectrolyte. the increasing popularity of nafion for the fabrication of redox polymer modified electrodes in recent years arises from easy fabrication, good electrical conductivity and high partition coefficients of many redox compounds in nafion. to investigate the production of nano-compositions by mixing electron transfer material and nafion polymer for...

in this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-archimedean number with $alpha^{-2}neq 3$. using the fixed point method and the direct method, we prove the hyers-ulam stability of the quadratic $alpha$-functional equation (0.1) in non-archimedean banach spaces.

The purpose of this paper is to solve the seventh-order functional equation as follows:  --------------------------- Next, we study the stability of this type of functional equation. Clearly, the function ----------  holds in this type functional equation. Also, we prove Hyers-Ulam stability for this type functional equation in the β-Gaussian Banach space.  

This paper is concerned with the problem of answering queries using views in the presence of functional dependencies. Previous algorithms for answering queries using views, such as the MiniCon algorithm, have not taken into account the presence of functional dependencies. As a consequence, these algorithms may miss query rewritings in the presence of such dependencies. In this paper, we present...

The structure of fluids confined by planar walls is studied using density functional theory. The density functional used is a generalized form of the hypernetted chain (HNC) functional which contains a term third order in the density. This term is chosen to ensure that the modified density functional gives the correct bulk pressure. The proposed density functional applied to a Lennard-Jones...

introduction: functional gastrointestinal disorders (fgid) are non-fatal, unknown etiology disorders with absence of a structural or biochemical explanation and accounting for up to 50% of gastroenterology referrals. infant regurgitation, rumination and cyclic vomiting constitute the vomiting disorders. abdominal pain disorders are classified as: functional dyspepsia, irritable bowel syndrome (...