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In industrial liquid separation processes chromatography often has a key function in the optimization of yield and purity.
The approach is based on formulating the error function in the optimization of the FIR Nyquist filter as a Lyapunov energy function to find the Hopfield related parameters.
The author extends an improved structure of feedback neural network to formulate the error function in the optimization of QMF banks as a Lyapunov energy function to find the Hopfield-related parameters.
Based on the Dirichlet-to-Neumann approach, we present a formula for the group velocity of guided modes that can serve as an objective function in the optimization of photonic crystal wave-guides.
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Doehlert design and desirability function were used in the optimization of an ultrasound assisted dissolution method of fish fillet samples with tetramethyl ammonium hydroxide (TMAH) for the determination of Ca, Fe, Zn and Mg by flame atomic absorption spectrometry.
The obtained models were used in a desirability function for the optimization of the reduced-fat formulation based on the following constraints: 25 50% shortening reduction; 41 44 g/100 g milk absorption; 100 160 kPa fracture strength.
In contrast to the current approaches such as gradient-based optimization algorithms, we employ here a non-iterative method based on measure theory which dose not require any information of gradients and the differentiability of objective function in the optimization problem is not as a rule.
However, due to the complexity of the models, this function is frequently a combination of several functions that represent the quality of the match in several wells and less attention is given to the influence of the objective function in the optimization process.
Note that, for the higher upper bound on the resistances, the use of a constraint function in the optimization algorithm to ensure that the total lung resistance stays within physiologically reasonable values for COPD patients results in a doubling of the overall computation time required for the optimization to converge.
Furthermore, instead of adopting the commonly used finite difference approximation, we make use of sensitivity equations to evaluate the gradient of the objective function in the optimization procedure, previously mentioned in (28).
Thus, analysing CUB allows the identification of cellular functions requiring the optimization of translational efficiency in the natural environment.
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