The empirical problem of natural resource management is typically the intertemporal allocation of product flows and resource stocks under uncertainty. National forest harvest scheduling is conceptualized in this study as a stochastic optimal control problem. In theory, optimal solutions to most stochastic control problems exist, but required computer costs are excessive even for problems of mod...

Linear-Quadratic-Gaussian (LQG) control is concerned with the design of an optimal controller and estimator for linear Gaussian systems with imperfect state information. Standard LQG assumes the set of sensor measurements, to be fed to the estimator, to be given. However, in many problems, arising in networked systems and robotics, one may not be able to use all the available sensors, due to po...

The lack of rotating black hole models, which are typically found in nature, loop quantum gravity (LQG) substantially hinders the progress testing LQG from observations. Starting with a nonrotating as seed metric, we construct spacetime using revised Newman-Janis algorithm. solution is nonsingular everywhere and it reduces to Kerr asymptotically. In different regions parameter space, describes ...

Qptinnrrni controller designs are developed which take account of the digital round-of€ errors in the controller implementation and in the A/D and D/A converters for the case of uniform skewed sampling. Skewing the control samples allows the computational delay in the control computer t o be accommodated in the optimization problem. These results provide a very general extension to the LQG theo...

The discrete logarithm problem in Jacobians of curves of high genus g over finite fields Fq is known to be computable with subexponential complexity Lqg (1/2, O(1)). We present an algorithm for a family of plane curves whose degrees in X and Y are low with respect to the curve genus, and suitably unbalanced. The finite base fields are arbitrary, but their sizes should not grow too fast compared...

A rigorous implementation of the Wheeler–Dewitt equations was derived in context Loop Quantum Gravity (LQG) and coined Spin Dynamics (QSD). The Hamiltonian constraint QSD criticised as being too local to prevent “propagation” canonical LQG. That criticism based on an algorithm developed for generating solutions Wheeler–DeWitt equations. fine details that could not be worked out because makes cr...

One of remarkable features loop quantum gravity (LQG) is that it can provide resolutions to both the black hole and big bang singularities. In mini-superspace approach based on polymerization procedure in LQG, a corrected metric constructed. This also known as self-dual spacetime since form invariant under exchange $r \to a_0/r$ with $a_0$ being proportional minimum area LQG $r$ standard radial...

The Barbero-Immirzi parameter ($\gamma$) is introduced in loop quantum gravity (LQG) whose physical significance still a biggest open question; because of its profound traits. In some cases, it real-valued; while, complex-valued other cases. This emerges out the process denoting Lorentz connection with non compact group $SO(3,1)$ form complex values rotations, either $SO(3)$ or $SU(2)$. Initial...