In the title compound, C16H13FO3S, the dihedral angle between the mean planes of the benzo-furan ring system and the 3-methyl-phenyl ring is 80.96 (4)°. In the crystal, mol-ecules are linked via pairs of π-π inter-actions between furan and benzene rings, with centroid-centroid distances of 3.758 (1) and 3.771 (1) Å. A similar inter-action is found between furan rings, with a centroid-centroid d...

In the title compound, C14H12N2, the N⋯N distance is 2.719 (1) Å. The N-C-C-N torsion angle [0.9 (1)°] is close to the ideal value of 0° as expected. Bond lengths and angles are consistent with those observed for [1,10]phenanthroline and coordinated 5,6 dimeth-yl[1,10]phenanthroline. In the crystal, C-H⋯N hydrogen bonds link the mol-ecules into C(4) chains running parallel to the b axis. Weak π...

The mol-ecular skeleton of the title mol-ecule, C(26)H(20)N(6)S(2), adopts a cis conformation with the two arms positioned on one side of the benzene ring plane. Intra-molecular π-π inter-actions between the pyrimidine rings [centroid-centroid distance = 3.654 (2) Å] and between the pyridine rings [centroid-centroid distance = 3.775 (2) Å] help to set the mol-ecular conformation; the pyrimidine...

The title compound, C(16)H(12)Br(2)F(2)S(2) [systematic name: 1(2),1(5)-dibromo-5(2),5(5)-difluoro-2,7-dithia-1,5(1,4)-dibenzenaocta-phane], has two approximately parallel benzene rings with a dihedral angle of 1.53 (15)° between them and with a centroid-centroid distance of 3.3066 (18) Å. In the crystal structure, mol-ecules are stacked along the a axis through an inter-molecular π-π inter-act...

In the title compound, C(15)H(10)BrClO(2)S, the 4-bromo-phenyl ring makes a dihedral angle of 86.85 (6)° with the mean plane [mean deviation = 0.009 (2) Å] of the benzofuran fragment. In the crystal, mol-ecules are linked by slipped π-π inter-actions between the benzene and the furan rings of adjacent mol-ecules [centroid-centroid distance = 3.884 (2), inter-planar distance = 3.369 (2) and slip...

Aiming at the problems that the traditional centroid algorithm in WSN node positioning precision is not high and the error is very large, this paper proposed a adaptive centroid algorithm based on weighted factor, first of all, determined the weighting factor according to the influence of different beacon node to the unknown node, with weights to reflect the impact of each beacon nodes for cent...

Location information is one of the most important services in the field of wireless sensor networks (WSNs). Compared to other proposed non-interactive localization algorithms, the weighted centroid localization scheme only uses the received signal strength indication (RSSI), which makes it simple to implement and robust to variations in the propagation environment. In this paper, we propose a w...

The aim of this study was to evaluate the centroid method of occlusion for studying mandibular growth and development. This novel technique comparatively expresses the direction of growth of the maxilla and mandible as a single unit. The centroid 'G' was geometrically calculated from the triangle Deltaabc, which comprised the palatal, articulare-gnathion (Ar-Gn), and A-B planes. The plane angle...

Let P be an H-polytope in R with vertex set V . The vertex centroid is defined as the average of the vertices in V . We first prove that computing the vertex centroid of an H-polytope, or even just checking whether it lies in a given halfspace, are #P-hard. We also consider the problem of approximating the vertex centroid by finding a point within an ǫ distance from it and prove this problem to...

An instance of the (r, p)-centroid problem is given by an edge and node weighted graph. Two competitors, the leader and the follower, are allowed to place p or r facilities, respectively, into the graph. Users at the nodes connect to the closest facility. A solution of the (r, p)-centroid problem is a leader placement such that the maximum total weight of the users connecting to any follower pl...