Given a connected polygonal domain P , the watchman route problem is to compute a shortest path or tour for a mobile guard (the “watchman”) that is required to see every point of P . While the watchman route problem is polynomially solvable in simple polygons, it is known to be NP-hard in polygons with holes. We present the first polynomial-time approximation algorithm for the watchman route pr...

How to hide a dimension from view Compacted dimensions are essential ingredients of advanced string theories; the extra dimensions used to describe the world are hidden from view, or compacted. Pendry et al. used concepts of transformation optics, in which metamaterials are designed to produce specific optical properties, to show theoretically that compacted dimensions could be possible in plas...

Research on embodiment is rich in impressive demonstrations but somewhat poor in comprehensive explanations. Although some moderators and driving mechanisms have been identified, a comprehensive conceptual account of how bodily states or dynamics influence behavior is still missing. Here, we attempt to integrate current knowledge by describing three basic psychological mechanisms: direct state ...

Peptides and proteins play an essential role in biological systems the human body. Deficiency or dysfunction of peptides such as insulin can lead to various illnesses. The therapeutic use some illnesses diabetes, cardiovascular disease, autoimmunity, cancer, among others, is highly considered. have large molecular structures are generally hydrophilic, maintaining their spatial composition terti...