Sentence examples for applications of the maximum from inspiring English sources

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

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 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].

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

However, the best fit with the reference scatter band is realized by the application of the maximum shear and normal strain energy density parameter in the critical plane.

The approach relies on quantifying diffraction efficiency in the near field using a novel application of the Maximum Length Sequence (MLS -based MLS -based

As a matter of fact, it follows from an application of the maximum principle that the solution to the obstacle problem (1.2) is the least superharmonic function in the set of admissible functions.

In this paper we review, and extend to the non-isothermal case, some results concerning the application of the maximum entropy closure technique to the derivation of hydrodynamic equations for particles with spin-orbit interaction and Fermi-Dirac statistics.