Sentence examples for relation solutions from inspiring English sources

Our discrete recurrence relation solutions for impact into layered media, generalize our recent analytical results concerning impact into homogeneous, single-layer targets, as well as prior discrete recurrence relation solutions for stress wave propagation in Goupillaud-type layered elastic media.

In a companion paper the dispersion relation solution, convergence analysis and comparison with simple models are addressed.

It was the perfect public relations solution: an endless diversion from real transformative change.

In [28], the authors did not point out the relation of solutions and weak solutions for the Stokes equations.

The main results of the paper can be found in Section 3, where we describe a relation between solutions of problem (3), (4) and blow-up solutions of problem (1), (2); see Theorem 4.

Indeed, much of his work books like the Tangencies, the Vergings (or Inclinations), and the Plane Loci, now lost but amply described by Pappus turns on the project of setting out the domain of planar constructions in relation to solutions by other means.

We can obtain the dispersion relation by solutions of Eqs.

He introduced the relation between solutions of (1.6) and fixed point of the mapping G as follows.

In addition, the equivalent relation between solutions of generalized Minty vector variational inequality and generalized vector-minimum points of vector optimization problems was shown.

Employing a Mehler type formula that is isometric in (L^{2}), Carles [1] found the deep relation of solutions between the critical nonlinear Schrödinger equation with an attractive potential ((theta<0)) and the one without potential.

He dealt mainly with some properties of an E-convex set and an E-convex function, a programming problem without E in both objective functions or constrained functions, and the relation between solutions of objective and constrained functions with and without E.