The solution furnishes the concentration profiles for reactant and product and their dependence on the time elapsed from the initiation of the halfcycle t′, on the frequency of the periodic potential, on the number of cycles, N, and on the symmetry of the signal.
The perturbation-based modal solution furnishes, first, explicit formulae for the parameter combinations which realize the internal resonance conditions and, second, asymptotic approximations of the resonant frequencies and modes.
The solution procedure is furnished to determine the optimal solution and the sensitivity analysis has been carried out to illustrate the behaviours of the proposed model.
Direct polycondensation reaction of an equimolar mixture of the acid chloride 13 with the diamines 9 12 in DMAc solution at 0 5°C furnished the corresponding polyamides containing amino acids 16 19, respectively in high yields, Scheme 2.
In Section 3, we develop the OFEE method via the POD method for the 2D viscoelastic wave equation, analyze the stability and convergence of the OFEE solutions, and furnish the implement procedure of the OFEE method.
Then we establish an optimized FE extrapolating (OFEE) method based on a proper orthogonal decomposition (POD) method for the 2D viscoelastic wave equation and analyze the existence, stability, and convergence of the OFEE solutions and furnish the implement procedure of the OFEE method.
The DCA is fast and furnished an optimal solution in almost all cases, and a near-optimal solution in the remaining cases.
Substituting the above solution into the partial differential equation of motion of the tower, and applying the Galerkin method, a system of ordinary differential equations results, the solution of which furnishes the deformation of the tower.
For Kenner, computers furnished a partial solution for the hearing loss that afflicted him from early childhood, along with a thickened and often difficult to understand speech.
He even occasionally dreamt to order: finding himself stuck in the middle of a novel one day, he went to bed and slept on the problem, waking up in the morning fully furnished with the solution.
