Sentence examples for branch solution from inspiring English sources
Furthermore, a novel bidirectional branching strategy to dynamically branch solution trees for subset selection problems is also proposed, which maximizes the number of nodes associated with the branches to be pruned.
The velocity profile for upper branch solution and lower branch solution is presented in Fig. 6a, b, respectively.
For the upper branch solution, the value of β increases with γ, |δ| and φ, and an opposite behaviour is noted for lower branch solution.
The increasing values of nanoparticle volume fraction decrease the velocity components in stretching sheet and shrinking sheet lower branch solution and increase the velocity profile in shrinking sheet lower branch solution.
It can be seen that the presence of first-order slip considerably decreases the temperature profile in case of shrinking sheet lower branch solution compared to upper branch solution.
Eq. 17IV gives a unique solution for the stretching sheet and upper branch solution for the shrinking sheet.
It is found that, the slip parameter has a reducing impact on the skin friction coefficient for both upper and lower branch solutions.
Velocity profiles for upper and lower branch solutions are shown in Fig. 4a, b, respectively.
Dual solutions are obtained in shrinking sheet beyond a suction critical point which are classified as upper and lower branch solutions.
Figure 7a c illustrates the effects of γ and φ on temperature profile of Au-water in case of stretching sheet, shrinking sheet upper and lower branch solutions, respectively.
The temperature profile decreases with the increasing values of |δ| and increases with the increase of φ in both upper and lower branch solutions (Fig. 8b, c).
