First, the sum of the mole fractions of uncoupled Tn, corresponding to 0, 1, and 2 calcium bound (T1, T2, T3; Fig. 2), equals the sum of C and M. The mole fractions of coupled and uncoupled Tn states can be calculated by solving the partially overlapping multiple equilibria of coupled and uncoupled Tn states.
This approach was not feasible for our model in view of the computational burden induced by solving the differential equation system multiple times.
Since the statistics of JA and those of previous stages are not independent from those definitions, critical values of JA (C j,k) can be calculated iteratively by solving the equation of n-multiple integrals under the null hypothesis using the Newton Raphson method.
Optimal engine set-points are determined by solving the constrained optimization problem with multiple objectives over part load operating conditions.
The results of the two-dimensional fiber arrays, which are obtained numerically by solving the equations of the SH wave multiple scattering, are shown to fit well in the one-dimensional framework of multilayered structures up to a certain frequency encompassing the first stop band.
By solving the motion equations, steady-state vibration response is obtained in presence of multiple rotor faults.
A gene may have multiple isoforms expressed in the samples, but only one isoform is extracted by solving the above LP/ILP problem.
In this subsection, we solve the multiple stopping problems in the sum case by deriving the optimality equations.
Essentially, this heuristic approach sought to solve the multiple gene duplication problem of Guigó et al. by solving instead a similar problem which we refer to as the 'episode clustering' problem.
We use Algorithm 1 to solve the multiple knapsack problem with the FCC constraint and a dynamic programming-based algorithm as illustrated in Algorithm 2. Finally, the problem will be solved by solving subproblems in a dimensionality reduction manner.
