Sentence examples for using the first formulation from inspiring English sources

Using the first formulation, the suspicious traces are tested against this training data.

Further, using the second formulation, we lift the connectivity constraints to generate stronger set of constraints that yield the third formulation.

The reconstructed quadratic polynomial solution is then used for the computation of the inviscid fluxes and the viscous fluxes using the second formulation of Bassi and Reay (Bassi Rebay II).

To achieve this, the operator can use the second formulation: the activity of the user is treated as a long sequence and is tested for anomalous sub-sequences.

Some pacifists use the second formulation of the categorical imperative to support their position by claiming that war treats persons as means and does not respect them as ends in themselves.

He or she can use the third formulation to compare the frequency of this query pattern in the activity of the user in a given time period with the frequency of past sequences to detect malicious behaviours.

Therefore, we will use the second formulation in the following for our calculations.

Comparison of the results shows that best results are obtained using the third cutting method in both the formulations.

Four studies used first generation long-acting methylphenidate, five studies used the second generation formulation and four studies assessed OROS methylphenidate.

The first formulation uses the least-squares method to explicitly minimize the displacement of the zero level set within the reinitialization.

The first formulation uses the kinematic relations of large displacements with moderate rotations for the face sheets, non-linear kinematic relations for the core and it assumes that the distribution of the vertical normal stresses through the depth of the core are linear.