Sentence examples for form for this problem from inspiring English sources

We introduce a normal form for this problem and show that both nesting of probabilities and multi-agent probabilities do not increase the expressivity of GPSAT.

The general form of this problem, even for, is yet an open problem that has attracted more researches but it is remarkably inflexible.

In this paper, we give some additional closed form results for this problem for both the quasi-static limit and the full dynamic regime.

Therefore, a closed form solution for this problem is not tractable.

Then, an asymptotic form for this auxiliary problem is extracted.

We derive an equivalence theorem of the minimax form for this design problem, show that the optimum criterion value φα∗=φ is continuous in α and give a condition for φα∗ being differentiable with respect to α.

If we employ the LD in its original form for this new problem, the LD does not function as expected.

For example, if we employ the LD in its original form for this new problem, the LD does not function as expected.

In this paper, an analytical solution in series form for the problem of a circularly cylindrical layered piezoelectric composite consisting of N dissimilar layers is presented within the framework of linear piezoelectricity.

Furthermore, the semi-discrete form for the problem is given and, the stability and convergence of the semi-discrete variational formulation are rigorously proved in L2 norm and fractional norm respectively.

The θ D nonlinear optimal control technique is employed to design a closed-form feedback controller for this problem by finding an approximate solution to the Hamilton Jacobi Bellman (HJB) equation through a perturbation process.