Sentence examples for formulation the solution from inspiring English sources

The paper discusses the formulation, the solution methods and some relevant instability situations.

In fact, by now the geoelectrical method involves, even in its most basic formulation, the solution of the Cauchy problem for Laplace's equation.

Even using a non-parametric formulation, the solution may be not appropriate as the test statistics do not account for correlation and heteroskedasticity, such as those that can be observed when several measures are taken from the same patient.

In this formulation, the solution is feasible if and only if f j (x i )=z i =f k (x i ) for ((x_{i},y_{i})in {S_{n}^{j}}cap {S_{n}^{k}}) and for j,k=1,...,m; that is, if and only if every pair of node decision rules agree on samples they share.

Furthermore, by embedding equality type constraints in the formulation, the solutions of DRLSC can follow from solving a set of linear equations and the framework naturally contains multi-class problems.

Furthermore by employing the recently introduced principle of reverse problem formulations, the solution of integrated process/product design problem becomes simpler and more flexible.

Whereas worked-out examples consist of a problem formulation, solution steps, and the final solution, solved example problems merely provide the problem formulation and the solution.

The formulation and the solution methodology are illustrated on test networks and results are presented.

In Section 2, we give the formulation of the solution for problem (1.1) and present some preliminary results.

A simplified formulation of the solution is developed assuming drained condition.

A new finite element formulation for the solution of the classical Stefan problem is introduced.