Sentence examples for a rigorous problem from inspiring English sources

Achieving the objective relies upon a rigorous problem formulation and information on threats to marine ecosystems, effectiveness of management actions at abating threats, and the economic costs of actions.

On the upper layer, a rigorous optimization problem is solved with an economic objective function at a slow time-scale, which captures slow trends in process uncertainties.

A rigorous optimization problem is formulated consisting of the calculation of the optimal reactor geometry (length and radius) in such a way that, for a given reactor volume and a given flow rate of the water to be treated, the mean outlet concentration of an organic pollutant is minimized.

Brilliant features weekly Olympic-style challenges that offer rigorous problem sets in math and physics.

The unsaturated flow and transport model was applied to a variety of rigorous problems and was found to produce accurate, mass-conserving solutions when compared to analytical solutions and published numerical results.

MPI model is found to be efficient in computing the rigorous problems, especially in simulation.

This heuristic scheme could be converted to a more rigorous optimization problem: to find the distribution of kinetic parameters for a network model which minimizes the difference between the SE average and the population-level experimental measurements, while simultaneously reproducing the range of experimentally-observed heterogeneous protein dynamics in single cells.

This paper extends the solution domain for turning aircraft beyond that of identical aircraft by presenting a rigorous analysis of the problem through a generalised optimisation approach.

We expand on [Walker & Humphreys (2006a). A multivariable analysis of the plasma vertical instability in tokamaks. In Proceedings of the 45th IEEE conference on decision & control (pp. 2213)] using a full multivariable model to provide a rigorous treatment of this problem, including the case in which some control coils are superconducting.

Furthermore, solving a new rigorous optimization problem is not necessary at each sampling time if the process has rather slow dynamics compared to the disturbance dynamics.

This article represents a first step towards the solution of this problem by focusing on a rigorous mathematical definition of the prognostic problem, and defining novel performance metrics based on Bayesian Cramér-Rao Lower Bounds for the predicted state mean square error (MSE) conditional to measurement data and model dynamics.