A set of vertical bars planted on given points of a horizontal line defines a fence composed of the quadrilaterals bounded by successive bars. A set of bars in the plane, each having one endpoint at the origin, defines an umbrella composed of the triangles bounded by successive bars. Given a collection of bars, we study how to use them to build the fence or the umbrella of maximum total area. W...

Platelet-derived growth factor (PDGF) is a potent mitogen for cells of mesenchymal origin, and stimulates the proliferation of density-arrested Balb/c-3T3 fibroblasts (Pledger et al., 1978; Williams et al., 1982; Sturani et al., 1989; Coats et al., 1991). PDGF was first purified from human platelets and shown to consist of a heterodimer composed of two disulphide-linked polypeptide chains, desi...

Sierpinski graphs are a widely observed family of fractal-type relevant to topology, Hanoi Tower mathematics, computer engineering, and around. Chemical implementations graph theory establish significant properties, such as chemical activity, physicochemical thermodynamic pharmacological activities molecular graph. Specific descriptors alluded topological indices helpful predict these propertie...

since the beginning of the presence of the holy qur’an, criticism and rhetoric have received attention in the areas of culture and thought, too. in this respect we can name some literary and rhetorical works like maj?z al-qur’?n by abu ubaydah ma’mar ibn muthann?, ket?b al-fas?hah by abu h?tam sajest?ni, e’j?z al-qur’?n by j?hez basri, naqd al-nathr wa naqd al-she’r by abu al-faraj qud?mah ibn ...