Sentence examples for on our formulation from inspiring English sources

The resultant envelopes are also normalized according to Eq. (31) for comparison with the envelopes based on our formulation.

Our result should find wide use by system designers and engineers to appropriately calibrate photonic crystal fibers based on our formulation devoid of complexity of the deeply involved numerical method.

Based on our formulation we present a paradox.

Thus, based on our formulation, we expect in the long run not to observe gang-based foraging when dominants are relatively ineffective at excluding subordinates from carcasses since the information center benefits to the typical juvenile common raven foraging behavior [14] prevail under these conditions.

A is broken down or eliminated by E. From now on our formulation applies to efflux pumps (and hence requires some rephrasing when antibiotics are inactivated by enzymes).

Based on our formulations in Cases 1 and 3, qequiv Probleft {E}_2=1Big|{E}_1=1right)times Probleft({E}_1=1right)+ Probleft {E}_2=1Big|{L}_1=1right)times Probleft {E}_2=1Big|{).

We also develop several heuristic models based on our formulations and find that even a heuristic based on an inferior model can surpass others based on superior models.

The results based on the numerical implementation of our formulation have been validated by an independent numerical calculation using the Monte Carlo method.

Based on our theoretical formulation of PCA, we prove the existence of an asymptotic pattern of the PC plot when the population sizes become large, and derive the formula for numerically calculating this asymptotic pattern for given population parameters.

On the contrary, our formulation makes the problem tractable, the exact optimal solution reachable by using an optimization software such as GAMS, and the augmentation easily representable though three independent layers.

We base our formulation on a dynamic fuzzy logic approach in which a new request is assigned to a vehicle.