A space X is said to be set star-Lindelöf if for each nonempty subset of and collection U open sets in such that ⊆⋃U, there a countable V ⊆ St (⋃V,U). The class spaces lie between the Lindel öf spaces. In this paper, we investigate relationship other related by providing some suitable examples study topological properties

star identification is one of the most important stages in attitude determination with star trackers. this can be performed using matching algorithms between observed stars and a master star catalogue. the main challenge in this approach is to provide a fast and reliable identification algorithm that is sufficiently robust in different pointing views of the star tracker optical system in the sp...

Global results are proved about the way in which Boyland’s forcing partial order organizes a set of braid types: those of periodic orbits of Smale’s horseshoe map for which the associated train track is a star. This is a special case of a conjecture introduced in [dCHb], which claims that forcing organizes all horseshoe braid types into linearly ordered families which are, in turn, parameterize...

We are interested in analyzing the properties of multi-agent systems [13] where a set of agents have to take a decision among two possible alternatives with the help of the social environment or network of the system itself. The ways in which people influence each other through their interactions in a social network and, in particular, the social rules that can be used for the spread of influen...

We study Ehrhart polynomials of star-shaped triangulations of balls by means of Cohen-Macaulay rings and canonical modules. A polyhedral complex F in RN is a finite set of convex polytopes in RN such that (1.1) if & £ T and & is a face of &, then & e I\ and (1.2) if &, & £ T, then 9° n<? is a face of 9° and of S. We are concerned with a polyhedral complex T in RN which satisfies the following c...

Weakly convex polyhedra which are star-shaped with respect to one of their vertices are infinitesimally rigid. This is a partial answer to the question whether every decomposable weakly convex polyhedron is infinitesimally rigid. The proof uses a recent result of Izmestiev on the geometry of convex caps.

Star-shaped terpolymers of the ABC type composed of incompatible polymer components give a variety of ordered structures with mesoscopic length scales depending on their composition ratio. Their peculiar features are summarized in this report. Polymer components adopted are polyisoprene (I), polystyrene (S) and poly(2-vinylpyridine) (P), and many monodisperse samples of the I(X)S(Y)P(Z) type we...

A novel naphthalimide derivative endowed with a diketone functionality has been synthesized and used to develop a family of highly symmetric, flat, n-type semiconducting naphthalimide-based pyrazinacenes. By changing the symmetry of these compounds and the number of naphthalimide constituents, fine tuning of their electrochemical, photophysical, and morphological properties is achieved.

Broken thin brittle plates like windows and windshields are ubiquitous in our environment. When impacted locally, they typically present a pattern of cracks extending radially outward from the impact point. We study the variation of the pattern of cracks by performing controlled transverse impacts on brittle plates over a broad range of impact speed, plate thickness, and material properties, an...