We consider the problem of guarding galleries that have no small nooks (regions that are visible from only a small fraction of the entire gallery). Intuitively, such galleries (of which convex galleries are a special but uninteresting case) should need fewer guards. We show that in any simply connected gallery in which every corner sees at least a fraction of the other corners there exist a set...

Based on eight in-depth interviews, this article analyses the quandary faced by liberal mainland Chinese student migrants in Hong Kong. On one hand, pro-democracy movements Kong are deeply intertwined with rise of localism, which is based a dichotomy between and China. other rising, development-centric nationalism China reduces protesters to unemancipated British colonial subjects. However, con...

Functional coupling, where a single morphological trait performs multiple functions, is a universal feature of organismal design. Theory suggests that functional coupling may constrain the rate of phenotypic evolution, yet empirical tests of this hypothesis are rare. In fish, the evolutionary transition from guarding the eggs on a sandy/rocky substrate (i.e. substrate guarding) to mouthbrooding...

WAR as a vehicle and Sport Is War as a conceptual metaphor (CM) seem inadequate to account metaphorically for SPORT. To cater for an inclusive vehicle/CM, we selected WIN and LOSS lexicon from the news coverage of Brazil’s football team loss to Germany and tested them through the Corpus of Contemporary American English. Then, the data were studied through the 3 stages of metaphor research. In t...

BACKGROUND Failed treatment trials are common in major depressive disorder and treatment-resistant depression, and remotely performed multifaceted, centralized structured interviews can potentially enhance signal detection by ensuring that enrolled patients meet eligibility criteria. METHODS We assessed the use of a specific remote structured interview that validated the diagnosis, level of t...

We address the question: How many edge guards are needed to guard an orthogonal polyhedron of e edges, r of which are reflex? It was previously established [3] that e/12 are sometimes necessary and e/6 always suffice. In contrast to the closed edge guards used for these bounds, we introduce a new model, open edge guards (excluding the endpoints of the edge), which we argue are in some sense mor...

Guarding and searching problems have been of fundamental interest since the early years of Computational Geometry. Both are well-developed areas of research and have been thoroughly studied in planar polygonal settings. In this thesis we tackle the Art Gallery Problem and the Searchlight Scheduling Problem in 3-dimensional polyhedral environments, putting special emphasis on edge guards and ort...

Males frequently remain in close proximity to their mate immediately postcopulation. This behavior has generally been interpreted as a guarding tactic designed to reduce the likelihood that a rival male can rapidly displace the ejaculate of the guarding male [1, 2]. Such attempts by males to control their mates represent a potential source of conflict [3-5], but guarding behaviors in species wh...