The use of Jacobians in chemical thermodynamics has focused chiefly on explicit functions. We generalize this powerful method to incorporate implicit Considering a slight deviation from equilibrium, governed by the Gibbs–Duhem equations, can simplify theories preferential solvation and adsorption significantly. Since these deviations are zero at function theorem be applied postulating their dif...

Despite the general findings that address the positive contribution of teaching pragmatic features to interlanguage pragmatic development, the question as to the most effective method is far from being resolved. Moreover, the potential of literature as a means of introducing learners into the social practices and norms of the target culture, which underlie the pragmatic competence, has not been...

Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-impli...

This study investigates the effect of four types of oral corrective feedback, namely, explicit elicitation, implicit elicitation, explicit recast and implicit recast on the most commonly mispronounced phonological features among Iranian EFL learners through immediate uptake and retention. Five classes were randomly categorized into four experimental groups and one control group, each with 18 in...

The convergence of an alternating direction implicit method for Maxwell’s equations on product domains is investigated. Unlike the classical Yee scheme and most other integrators proposed in the literature, this method is both unconditionally stable and computationally cheap. We prove second-order convergence of the time-discretization in the framework of operator semigroup theory. In contrast ...

We analyze the interaction of explicit and implicit contracts in a model with selfish and fair principals. Fair principals are willing to honor implicit agreements, whereas selfish principals are not. Principals are privately informed about their types. We investigate a separating equilibrium in which principals reveal their type through the contract offer to the agent. If this equilibrium is p...

The evolution in space and time of crime risk and criminal density is modeled by a coupled system of partial differential equations, and solved with a semi-implicit method using finite differences. Under appropriate conditions, isolated stationary hot spots of high criminal activity form.