In cold dark matter models, a galaxy's dark matter halo is more spatially extended than its stars. However, even though the five well-constrained gravitational lenses with time delay measurements must have similar dark matter distributions, reconciling the Hubble constant estimated from their time delays with local estimates is possible only if that dark matter distribution is as compact as the...

We measure the length of the baryon acoustic oscillation (BAO) feature, and the expansion rate of the recent Universe, from low-redshift data only, almost model independently. We make only the following minimal assumptions: homogeneity and isotropy, a metric theory of gravity, a smooth expansion history, and the existence of standard candles (supernovæ) and a standard BAO ruler. The rest is det...

In this paper, we have investigated a bulk viscous anisotropic Universe and constrained its model parameters with recent $H(z)$ Pantheon compilation data. Using cosmic chronometric technique, estimate the present value of Hubble's constant as $H_{0} = 69.39 \pm 1.54~km~s^{-1}Mpc^{-1}$, $70.016 1.65~km~s^{-1}Mpc^{-1}$ $69.36 1.42~km~s^{-1}Mpc^{-1}$ by bounding our derived data, joint data respec...

The operation of chemical processes often requires respecting constraints on manipulated inputs and process states. Input constraints typically reflect limits on the capacity of control actuators, such as valves or pumps, whereas state constraints represent desirable ranges of operation for process variables, such as temperatures or concentrations. Constraints, however, limit the set of initial...

Explicit solutions to constrained linear MPC problems can be obtained by solving multi-parametric quadratic programs (mp-QP) where the parameters are the components of the state vector. We study the properties of the polyhedral partition of the state-space induced by the multiparametric piecewise linear solution and propose a new mp-QP solver. Compared to existing algorithms, our approach adopt...

In this paper, a Model Predictive Control problem for constrained nonlinear systems with quantized input is formulated and represented as a multiparametric Nonlinear Integer Programming (mp-NIP) problem. Then, a computational method for explicit approximate solution of the resulting mp-NIP problem is suggested. The proposed approximate mp-NIP approach is applied to the design of an explicit app...

Purpose: To compare the efficacy of Mineral Trioxide Aggregate (MTA) and Modified Portland Cement (MPC) as pulpotomy medicaments in primary molars.   Methods: A sample of 54 children 4 to 6 years old of age, who had at least one primary mandibular second molar that needed pulpotomy were randomly placed in MTA (n = 28) or MPC (n = 26) groups. After completing the pulpotomy procedures, the teeth ...