Sentence examples for explicit equilibrium from inspiring English sources

It is shown that explicit equilibrium relations of the form y = F (x) with more than two independent variables must obey complicated constraints on the higher-order derivatives of F, which are usually impractical to test.

Although the local stability of the fixed behavior model and the adaptive behavior model without individual variation can be analyzed with their explicit equilibrium solutions, explicit equilibrium expressions could not derived when individual variation was considered.

Two types of partition functions for the polymerization are constructed from different viewpoints, and then the explicit expressions of equilibrium size distribution function, equilibrium free energy as well as the law of mass action are obtained.

In this way, the explicit expressions of equilibrium free energy and law of mass action concerning the polymerization are obtained, and then the equilibrium size distribution functions of hyperbranched polymers are given.

This can provide explicit expressions for equilibrium values in terms of the parameters of the model.

Proof 3 Let us express the objective function W(P) by using explicit expressions for equilibrium distributions π in Equation 2: Therefore, (15).

We present two sets of explicit relations for the equilibrium fugacities of single-guest gas hydrates.

If this is correct, the remaining problem is to define our inferential practices by bringing explicit rules into reflective equilibrium with our tutored intuitions.

In this paper, first a new explicit formulation of Nash equilibrium as a classical minimization function is formulated.

As well-known, hypocoercivity methods imply an exponential decay to equilibrium with explicit computable rate of convergence.

In order to get an explicit expression of the equilibrium point, we suppose (mathcal{G}_{t}=sigma{W s);0leq sleq t}) in the rest of this section.