Sentence examples for many first order from inspiring English sources

We present examples of (18) that have many first order solutions.

8, we give two examples that have many first order solutions of (9).

We treat the radial case and show that a simple modification of the previous example yields an example of (26) that has many first order solutions.

The developed result unifies the treatment of many first-order problems [12 15].

First, it illuminates why many first-order VR applications may not be suited for adoption by a non-enthusiast audience.

It is natural to suppose, however, that at least many first-order properties and relations can themselves have properties and relations.

While some convex regularizations involve convex quadratic programs (QP) for which standard QP solvers can be certainly used, many first-order methods have been developed in the last years for large scale convex problems.

For the reaction mixtures with many first-order reactions, a CFBR run results in making the concentration of species to be in the order of decreasing rate constant, a species with the lowest rate constant having the highest concentration regardless of the initial composition of the mixtures.

There exist many sixth-order iterative methods for solving nonlinear scalar equations.

There exist many sixth-order iterative methods (see, e.g., [5, 6, 7, 12, 13, 15]) for solving nonlinear scalar equations.

However, here we perform a variational study directly in (mathbb{R}^{N}), which was done previously for many fourth-order ODEs and elliptic equations; see [14 16] as key examples (though those equations, mainly, contain coercive operators, with 'non-oscillatory' behaviour at infinity).