Pressed by Ms Merkel, he at last apologised, saying that he wished to distance himself from his "formulation".In this section The end of the beginning Democracy à la russe A thaw in the river A Turkish tangle Merkel's firm hand Scotland's Eurodreams Correction: France's presidential election ReprintsThis should be just enough for Mr Oettinger to keep his job.
The mathematical formulation presented in this section addresses the so-called deterministic problem, i.e., all input parameters such as, water flows, demands, and fuel prices, are single and known values.
The mathematical formulation is described in this section, and its accuracy is tested in the next section.
Lagrange formulation is used in this section to derive model of the system since it provides a powerful technique for obtaining the equations of motion.
As the exponential size formulations are hard to implement by means of a modeling language, various compact MIP formulations will be described in this section as well.
In the above-mentioned works [ 23, 25, 45, 64, 79] only concise formulations are provided, while in this section we give mathematical statements and proofs to describe the two problems on the case when only gene duplication, loss, and divergence during speciation are the considered evolutionary events.
Detailed formulation of the introduced features is presented in Section 5. Before giving the formulation of the feature set in this section, we should remark that the subjective nature of the emotion forces researchers to employ a reference criteria which scales the effect of this subjectivity.
In this section, formulation of fuzzy goal programming with minimum operator in strategic and tactical level planning is presented.
In this section, formulation of the forecasting problem is illustrated, following the detailed description of the proposed model in this paper.
In this section, formulation approaches to address metabolism are discussed.
Although an optimal solution can be obtained using the formulation in "Mathematical formulation" section, this is only feasible for small scale problems.
