The sole surviving Precursor, who discovered this catastrophic failure of the final solution, remarked that as the Precursors' destruction would be permanent, it was "good" that the solution failed in the way it did, as the Flood would insure that none of their creations will persist to threaten the Mantle.
A crude Monte Carlo simulation for assessing the corresponding interval of the failure probability requires the solution of a double optimization problem for each probability level of the limit state function.
A high availability solution will ensure that the failure of any component of the solution - either hardware, software or system management, will not cause the application and its data to become permanently unavailable.
Given the failure of the UN-sponsored political solution and the regime's determination to end the revolution by force, the choice for truce or a ceasefire in areas where clashes have been taking place may improve the chances of calming the situation in some areas.
Three modes of failure were observed, cohesive, adhesive and cohesive adhesive corresponding respectively to failure within the viscous bulk of the solution, at the adhesive interface, or a combination which was often associated with spot tack where partial adhesion remains at the probe surface.
The approach solves different effector failures by the solution of re-allocating the healthy effectors.
Thirdly, the effective stress tensor has been transformed into the local coordinate system of each group of weakness planes (WPs) to determine the shear failure of wellbore, and the solution method and computer program of collapse pressure have been developed.
In addition, a sensitivity analysis is performed, which makes it possible to determine how the cost and yearly failure rates of the optimal solution are affected by small changes in the input data values.
In addition, some tools for sensitivity analysis are introduced, which make it possible to determine how the cost and yearly failure rates of the optimal solution are affected by small changes in the input data values.
In the case that the rotation angle is large, the initial values are difficult even never to be obtained in advance, and consequently, it leads to the failure of solution (see Zeng and Yi 2011).
