Sentence examples for by constraining the minimization from inspiring English sources
The control robustness is achieved by constraining the minimization such that the maximum complex/real ratio of the closed-loop control system eigenvalues was lower than one.
In the present case, the mass and energy balance equations together with the global entropy generation were numerically solved taking into account that the prediction of the methane conversion and the temperature field are constrained by the minimization of the entropy generation, which defines the objective function.
The final round of minimization was for 2000 conjugate-gradient steps, constraining the backbone heavy atoms with a force constant of 0.5 kcal/Å.
(b) This step was followed by another steepest descent minimization with the same parameter as in step (a), but constraining the protein backbone atoms and relaxing all other atoms of the molecule.
By studying constrained minimization problems and applying the method of concentration-compactness, we obtain the existence of solitary waves for the generalized Korteweg-de Vries equations under some assumptions of the nonlinear term.
On the other hand, consider the constrained convex minimization problem as follows: minimize { g ( x ) : x ∈ C }, (1.2).
By employing the mountain pass theorem and the constrained minimization together with the concentration-compactness principle, the existence of two solutions were obtained.
(a) In the first step of minimization, all the heavy (all nonhydrogen) atoms were constrained; the hydrogen atoms were allowed to minimize by steepest decent algorithm until the maximum derivative (|dE/dr|) of the system was <1 kcal/(mole · Å ´ ).
The discretized version of the constrained minimization problem that gives the optimal solution is solved by mathematical programming, using the Method of Moving Asymptotes and the finite element method in its displacement-based formulation.
