Sentence examples for arbitrary solution from inspiring English sources

To solve the Cauchy problem, we need to study elliptic regularity in such domains, understand the linearized operator around an arbitrary solution, and construct an appropriate procedure to quasi-linearize the equations.

The reliability of the robust design has been verified by comparing the robust solution with the optimal solution and an arbitrary solution.

We aim at a guaranteed non-conflicting, complete and controllable behaviour of the self-reconfiguring closed-loop system, in particular for an arbitrary solution to the nominal control problem.

Let be any arbitrary solution of (3.34).

Proof Suppose ( x, y ) is an arbitrary solution of (1).

Let x be an arbitrary solution of this problem.

Let be an arbitrary solution of system (1.5).

Let u be an arbitrary solution of problem (2.1 - 2.3 2.1 - 2.3

Let be an arbitrary solution of (3.1) with period.

Suppose that is an arbitrary solution of (1.1).

The bulk material is discretised by extended finite elements which allow for crack initiation and propagation along an arbitrary, solution-dependent path.