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The NUM problem under stability constraints can be formulated as (3).
A run-in period of data collected under stability informs the user of the inherent variability of the process.
The obtained results are useful for prolonging the material lifetime under stability awareness during every stages material utilizations, especially in textile dyeing applications.
The results obtained with CNLD are compared to results recently presented by Chang and Sahinidis [Chang, Y. J., & Sahinidis, N. V. (2005). Optimization of metabolic pathways under stability considerations. Computers and Chemical Engineering, 29 (3), 467 479], where the optimization of the tryptophan biosynthesis model was addressed by a global optimization algorithm.
The implementation of the ITDT requires some additional computations on correcting the time-dispersion error, but it allows us to use the maximum temporal interval under stability conditions; thus, its final computational efficiency would be higher than that of the traditional symplectic integration method for long-term simulations.
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Under the Stability and Growth Pact, countries risk fines if their deficits exceed 3percentt of gross domestic product.
Governments in the euro area have, under their stability pact, set a limit on budget deficits of 3% of GDP.
Under the stability and growth pact that governs European Union members' fiscal policy, countries have pledged to maintain their budget deficits at less than 3percentt of gross domestic product.
Under dimension stability, no other item has any significance.
State (LER, LER) is Pareto optimal which is stable under all stability definitions except Nash.
Then, we formulate our design problem which minimizes the weighted quantization noise under the stability condition.
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