We study some structural and topological properties of the frontiers of objects in a certain class of discrete spaces, in the framework of simplicial complexes and partial orders. In a previous work, we introduced the notion of frontier order, which allows to define the frontier of any object in an n-dimensional space. The main goal of this paper is to exhibit the links which exist between fron...

We present a new spatial partitioning scheme called frontier sets. Frontier sets build on the notion of a potentially visible set (PVS) [ARB90, TS91]. In a PVS a world is sub-divided into cells and for each cell all the other cells that can be seen are computed. Frontier sets represents regions of mutual invisibility. One frontier in a frontier set considers pairs of cells, A and B. It lists tw...

Quantum information science explores the frontier of highly complex quantum states, the “entanglement frontier.” This study is motivated by the observation (widely believed but unproven) that classical systems cannot simulate highly entangled quantum systems efficiently, and we hope to hasten the day when well controlled quantum systems can perform tasks surpassing what can be done in the class...

A numerical method based on the Adomian decomposition method which has been developed by Adomian [Adomian, G. (1994). Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston, MA] is introduced in this paper for the approximate solution of delay differential equation (DDE). The algorithm is illustrated by studying an initial value problem. The results o...

Front-end loaders extract sand and gravel (aggregate) from a pit and haul it to a feeder, which releases the aggregate onto a conveyor belt that is connected to a stockpile; the material is subsequently distributed to a processing plant. As mining progresses, the mining frontier moves farther away from the feeder, increasing loader cycle time. In turn, plant managers add loaders to maintain pro...

We provide an analysis of frontier market equities with respect to world market integration and diversification. Principal component results reveal that frontier markets exhibit low levels of integration. In contrast with developed and emerging markets, frontier markets offer no indication of increasing integration through time. Furthermore, individual frontier market countries do not exhibit c...

No systematic procedure currently exists for inferring the underlying physics from discrepancies observed in high energy collider data. We present Bard, an algorithm designed to facilitate the process of model construction at the energy frontier. Top-down scans of model parameter space are discarded in favor of bottom-up diagrammatic explanations of particular discrepancies, an explanation spac...

In the use of peer group data to assess individual, typical or best practice performance, the effective detection of outliers is critical for achieving useful results, particularly for two-stage analyses. In the DEA-related literature, prior work on this issue has focused on the efficient frontier as a basis for detecting outliers. An iterative approach to deal with the potential for one outlie...