We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build up from products of first order metric perturbations and its derivatives. We have explicitly regularized this source term at the particle location as well as ...

This paper describes a simple method of obtaining longer-term predictions from a nonlinear time-series, assuming one already has a reasonably good short-term predictor. The usefulness of the technique is that it eliminates, to some extent, the systematic errors of the iterated short-term predictor. The technique we describe also provides an indication of the prediction horizon. We consider syst...

Einstein-Hilbert (EH) action can be separated into a bulk and a surface term, with a specific (‘‘holographic’’) relationship between the two, so that either can be used to extract information about the other. The surface term can also be interpreted as the entropy of the horizon in a wide class of spacetimes. Since EH action is likely to just the first term in the derivative expansion of an eff...

The extant literature on precision in accounting standards suggests that financial statement preparers are less likely to make aggressive reporting decisions under precise, principles-based as compared more rules-based standards. We extend this line of research by examining how the incentive horizon influences earnings management behaviour. Consistent with prior literature, we find evidence pre...

We consider the problem of optimally acquiring and retiring assets that are undergoing technological change over an unbounded horizon. The allowance for technological change prevents one from adopting the classic repeated-plant assumption that future replacements will be identical in costs to current asset contenders, thus confronting one with a non-stationary infinite horizon problem to solve....

OBJECTIVES To examine the costs and benefits associated with long-term etanercept (ETN) treatment in patients with severe ankylosing spondylitis (AS) in the UK in accordance with the BSR guidelines. METHODS A mathematical model was constructed to estimate the costs and benefits associated with ETN plus non-steroidal anti-inflammatory drugs (NSAIDs) compared with NSAIDs alone. Individual patie...

In this paper the long-term scheduling of a real world multi-product single stage continuous process for manufacturing glass is studied. This process features long minimum run lengths, and sequence dependent changeovers of the order of days, with high transition costs. The long-term scheduling involves extended time horizons that lead to large scale mixed integer linear programming (MILP) sched...

The Deepwater Horizon oil spill, the second largest marine oil spill in history, contaminated over a thousand kilometers of coastline in the Louisiana salt marshes and seriously threatened this valuable ecosystem. Measuring the impacts of the oil spill over the large and complex coast calls for the application of remote sensing techniques. This study develops a method for post-Deepwater Horizon...

We calculate the density of states of the 2+1 dimensional BTZ black hole in the microand grand-canonical ensembles. Our starting point is the relation between 2+1 dimensional quantum gravity and quantised Chern-Simons theory. In the microcanonical ensemble, we find the Bekenstein–Hawking entropy by relating a Kac-Moody algebra of global gauge charges to a Virasoro algebra with a classical centr...

In this paper the long-term scheduling of a real world multi-product single stage continuous process for manufacturing glass is studied. This process features long minimum run lengths, and sequence dependent changeovers of the order of days, with high transition costs. The long-term scheduling involves extended time horizons that lead to large scale mixed integer linear programming (MILP) sched...