Sentence examples for application of the maximum from inspiring English sources

The proof of the Lawson conjecture in [9] involves an application of the maximum principle to a function that depends on a pair of points.

The nonextensive probability distribution p i is obtained by application of the maximum entropy method, a procedure formulated by the American Edward T. Jaynes [24, 25].

Adaptivity is provided by the application of the maximum a posteriori (MAP) method to the statistical models of each class and is implemented via a feedback loop [18].

Figure 16 Application of the maximum likelihood algorithm on the distance on the magenta group brings the (black dotted) typical circles closer to the target.

The application of the maximum pressure at lower temperatures results in an increased porosity due to the presence of adsorbed gases.

The two-point boundary value problem resulting from the application of the maximum principle is then solved using the control vector iteration technique.

Remark 5 Due to the hypotheses on the nonlinearities and on the weight functions, simple applications of the maximum principle allow us to guarantee that if ( u, v ) is a solution of problem (P), then both u and v are strictly positive in Ω. Example 6 Let us consider the problem { − Δ p u = α v β in  Ω, − Δ q v = γ u μ in  Ω, ( u, v ) = ( 0, 0 ) on  ∂ Ω, (20).

The synthesis involves application of the Pontryagin maximum principle, but with several nontrivial caveats due to the selectivity specification, which leads to state constraints.

The magnetization evolution is modeled with Bloch equations, which defines a dynamic system that can be controlled via the application of the Pontryagin Maximum Principle (PMP).

A potential advantage of the present approach is shown to lie in the application of the Continuous Maximum Principle in optimal control theory to facilitate the numerical computation of optimal cooling curves.

This research demonstrates that the GRP offers a general approach to modeling repairable systems and discusses application of the classical maximum likelihood and Bayesian approaches to estimation of the GRP parameters.