Comparison analysis of linear least-square method and non-linear method of three widely used isotherms (Langmuir, Freundlich, and Redlich-Peterson) were examined to experiment with Remazol Red (C.I. 18221) onto pistachio nut shells at a solution temperature of 293 K. All three isotherm equations showed a better fit to the experimental equilibrium data. The results show that the Langmuir model s...

removal of cesium from synthetic aqueous solution through adsorption on vermiculite, under batch equilibrium experimental condition at six initial values of ph (3, 4, 6, 9, 11 and 12) and five temperatures (25, 50, 75, 85 and 95 °c) has been investigated. it is necessary to propose a suitable model for a better understanding of the mechanism of cesium adsorption on vermiculite. for this propose...

in this paper, presenting two simple methods for ranking of efficient dmus in dea models that included to add one virtual dmu as ideal dmu and is using the additive model. note that, we use an ideal point just for comparing efficient dmus with. although these methods are simple, they have ability for ranking all efficient dmus, extreme points and the others, also they are capable of ranking the...

This is a survey on the intermittent behavior of the parabolic Anderson model, which is the Cauchy problem for the heat equation with random potential on the lattice Z. We first introduce the model and give heuristic explanations of the long-time behavior of the solution, both in the annealed and the quenched setting for time-independent potentials. We thereby consider examples of potentials st...

This paper provides an illustration of the principled design of an interactive learning environment. It provides a view of the early stages of this process where design, testing, and redesign are most critical. The long term goals of principled design are twofold: (1) to create a system that can be convincingly demonstrated as an effective and practical learning aid and (2) to provide a replica...

We consider the following stochastic partial differential equation: ∂u ∂t = 1 2 ∆u + κu ˙ F , for x ∈ R d in dimension d ≥ 3, where ˙ F (t, x) is a mean zero Gaussian noise with the singular covariance E ˙ F (t, x) ˙ F (t, y) = δ(t − s) |x − y| 2. Solutions u t (dx) exist as singular measures, under suitable assumptions on the initial conditions and for sufficiently small κ. We investigate vari...

Single-particle dynamics of the Anderson impurity model are studied using both the numerical renormalization group (NRG) method and the local moment approach (LMA). It is shown that a ‘two-self-energy’ description of dynamics inherent to the LMA, as well as a conventional ‘single-self-energy’ description, arise within NRG; each yielding correctly the same local single-particle spectrum. Explici...