Sentence examples for to ensure that the solution from inspiring English sources

Involving the end users from the outset is very important to ensure that the solution being developed will really be a solution for them.

Each model run consisted of 100 iterations to ensure that the solution represents a global minimum.

solution was analyzed with DLS to ensure that the solution does not have any measureable particles.

2, we set up some conditions to ensure that the solution blows up in a finite time.

In this section, we establish some conditions on functions (f,g,k), and initial value (u_{0}) to ensure that the solution of (1.1) remains global.

They established conditions on data sufficient to preclude blow-up and to ensure that the solution and its spatial gradient decay exponentially for all (t>0).

Furthermore, the correction method and several adjustment techniques are proposed to ensure that the solutions are diverse in the iterative process and satisfy all the constraints.

Furthermore, two more specific conditions of how small the initial data are were given out to ensure that the solutions of the periodic initial value problem (1 - 5) exist globally.

Supposing that (alpha_{i}(t)), (beta_{i}(t)), (c_{ij}(t)), (gamma_{ij}(t)), and (tau_{ij}(t)) are almost periodic functions, Wang et al. [11] obtained some criteria to ensure that the solutions of system (1.2) converge locally exponentially to a positive almost periodic solution.

The fluorescent stains were also allowed to sit on the gels overnight to ensure that the solutions diffused all the way through the hydrogel.

Construction of the cost function is key, particularly when multiple objectives are involved or when constraints are being enforced using penalty terms, to ensure that solutions meet the constraints and specifications of the real-world problem.