In the title compound, C(15)H(16)N(2)O(3)S, the central C-S(=O)(2)N(H)-C unit is twisted, with a C-S-N-C torsion angle of -56.4 (2)°. The benzene rings form a dihedral angle of 49.65 (15)° with each other. In the crystal, mol-ecules are linked by N-H⋯O hydrogen bonds, generating a three-dimensional network.

Given a set S of n > 2 points in the plane (in general position), we show how to compute in O(n) time, a triangle T with maximum (or minimum) area enclosing S among all enclosing triangles with fixed perimeter P and one fixed angle ω. We show that a similar approach can be used to compute a triangle T with maximum (or minimum) perimeter enclosing S among all enclosing triangles with fixed area ...

In the title compound, C12H8Cl2N2O4S, the C-S-N-C torsion angle is 49.34 (18)° and the dihedral angle between the benzene rings is 71.92 (10)°. The amide H atom exhibits bifurcated hydrogen bonding. The N-H bond is syn to the ortho-nitro group enabling the formation of an S(7) loop. In the crystal, pairs of N-H⋯O(S) hydrogen bonds link the mol-ecules into inversion dimers via R2(2)(8) rings.

In the title compound, C(17)H(18)N(2)O(5)S, the dihedral angle between the aromatic rings is 68.59 (10)° and the C-S-N-C torsion angle is -81.84 (18)°. The mol-ecular conformation is stabilized by an intra-molecular N-H⋯O hydrogen bond, generating an S(6) ring. In the crystal, mol-ecules are linked by C-H⋯O and O-H⋯O hydrogen bonds into a three-dimensional network.

In the title compound, C(15)H(17)NO(2)S, the mol-ecule is bent at the S atom, the C-SO(2)-NH-C torsion angle being 88.0 (2)°. The dihedral angle between the two aromatic rings is 49.8 (1)°. In the crystal, mol-ecules are linked into zigzag chains parallel to the a axis via N-H⋯O hydrogen bonds.

In the title compound, C(14)H(15)NO(3)S, the dihedral angle between the aromatic rings is 59.39 (14)° and the C-S-N-C torsion angle is -71.4 (2)°. In the crystal, a supra-molecular chain running along the b axis with a C(4) graph set is formed via N-H⋯O hydrogen bonds.

In the title compound, C(12)H(8)Cl(3)NO(2)S, the dihedral angle between the aromatic rings is 87.9 (1)° and the C-S-N-C torsion angle is 77.8 (2)°. In the crystal, inversion dimers linked by pairs of N-H⋯O hydrogen bonds occur.

Given a set S of n points in the plane and a fixed angle 0 < ω < π, we show how to find all triangles of minimum area with angle ω that enclose S in O(n log n) time. We also demonstrate that in general, the solution cannot be written without cubic root.

In the title compound, C(13)H(11)Cl(2)NO(2)S, the dihedral angle between the aromatic rings is 76.62 (10)° and the C-S-N-C linkage between the rings adopts a gauche conformation [torsion angle = -51.4 (2)°]. A weak intra-molecular C-H⋯O inter-action closes an S(6) ring. In the crystal, inversion dimers linked by pairs of N-H⋯O hydrogen bonds generate R(2) (2)(8) loops.

In the title compound, C(7)H(6)ClNO(3)S, the nitro group forms a dihedral angle of 2.7 (4)° with the benzene ring. The bond-angle sum at the S atom is 303.7°. In the crystal, mol-ecules are linked by weak C-H⋯O hydrogen bonds, forming layers lying parallel to (-101).