Merging event horizons of the binary black holes will be investigated. Though recent development of the numerical study of the binary black hole coalescence has shown that their apparent horizons can orbit for many periods in the case of appropriate initial conditions, the apparent horizons only suggests the existence of an event horizon surrounding them. In the present article, we discuss how ...

To the best of our knowledge, research in the Dynamic Plant Layout Problem (DPLP) assumes that the planning horizon is fixed and that material flows are known with certainty. But in practice, many companies use rolling planning horizons. Further, they have to deal with the effect of uncertainty in material flow forecasts. This paper investigates the performance of algorithms under fixed and rol...

I explore methods that characterize model-based valuation of stochastically growing cash flows. Following previous research, I use stochastic discount factors as a convenient device to depict asset values. I extend that literature by focusing on the impact of compounding these discount factors over alternative investment horizons. In modeling cash flows, I also incorporate stochastic growth fac...

The arena normally used in black holes thermodynamics was recently generalized to incorporate a broad class of physically interesting situations. The key idea is to replace the notion of stationary event horizons by that of ‘isolated horizons.’ Unlike event horizons, isolated horizons can be located in a space-time quasi-locally. Furthermore, they need not be Killing horizons. In particular, a ...

The efficient market hypothesis (EMH) fails as a valid model of financial markets. The fractal market hypothesis (FMH) is a more general alternative way to the EMH. The FMH is formed on the following parameter space: agents’ investment horizons. A financial market is more stable when a fractal character in the structures of agent’s investment horizons is adopted. For computer simulations, the c...

We study the mechanics of Hayward's trapping horizons, taking isolated horizons as equilibrium states. Zeroth and second laws of dynamic horizon mechanics come from the isolated and trapping horizon formalisms, respectively. We derive a dynamical first law by introducing a new perturbative formulation for dynamic horizons in which "slowly evolving" trapping horizons may be viewed as perturbativ...

Osteoarthritis (OA) is the most common type of arthritis worldwide and rapidly increasing with ageing populations. It is a major source of pain and disability for individuals and economic burden for health economies. Modern imaging, in particular magnetic resonance imaging (MRI), has helped us to understand that OA is a dynamic remodelling process involving all the structures within the joint. ...

Textural features are widespread in many soils, provide pedogenetic evidence, and fundamental soil classification systems. The presence of these their conservation over time require certain processes forming factors. This study investigates the genesis textural pedofeatures, especially clay coatings, stressful conditions that can eventually lead to disappearance. To achieve this goal, four prof...