Given two integers n and k, n ≥ k > 1, a k-hypertournament T on n vertices is a pair (V, A), where V is a set of vertices, |V | = n and A is a set of k-tuples of vertices, called arcs, so that for any k-subset S of V , A contains exactly one of the k! k-tuples whose entries belong to S. A 2-hypertournament is merely an (ordinary) tournament. A path is a sequence v1a1v2a2v3...vt−1at−1vt of disti...

To date, in almost all strong gravitational lensing analyses for modeling giant arc systems and multiple quasar images, it has been assumed that all the deflecting matter is concentrated in one lens plane at a certain distance— the thin lens approximation. However, in a few observed cases, lenses at more than one redshift have been identified as contributing to the image splitting. Here we repo...

Existing semantic theories of appositive relative clauses (ARCs) assume that ARCs contribute asserted but not at-issue content (Böer & Lycan [4], Bach [3], Chierchia & McConnell-Ginet [5], Potts [13], AnderBois et al. [2], Murray [12]). In this paper I demonstrate that the information status of ARCs depends on their linear position in the clause: clause-medial ARCs are not at-issue whereas clau...

We give a theory on the space of arcs X∞ of a singular variety X, based on the finiteness property of the stable points of X∞. We also show how computations can be made in this theory. As a consequence, we obtain a process of determining invariants of X from its space of arcs X∞, and from its spaces of wedges (arcs in the space of arcs). More precisely, we give two concepts of regularity for th...

We are concerned with causality semantics in the executions of Petri nets with range arcs. Range arcs combine (and subsume) the distinctive features of inhibitor and activator arcs, and each such arc provides a means of specifying a range (a finite or infinite interval of non-negative integers) for the number of tokens in a place which makes enabling of a given transition possible. We demonstra...

Cytostructural changes during fibroblast spreading and translocation and during the transition between the two states have been studied in living cells and in the same cells after fixation and immunofluorescent staining. In time-lapse sequences we observe that birefringent arcs, sometimes circles, concentric with the cell perimeter, form near the periphery of a spreading cell, or that arcs form...

In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...

Navarro, Frenk, & White have recently found numerically that the density profile of dark-matter halos can be described by a universal two-parameter function over a broad range of halo masses. The profile is singular, approaching the halo center with ρ ∝ r−1. It had been argued previously that radially distorted, gravitationally lensed images of background sources in galaxy clusters, so-called r...