In the title compound, C17H16O4, the dihedral angle between the benzene rings is 21.22 (1)° and the mean plane of the prop-2-en-1-one group makes dihedral angles of 10.60 (1) and 11.28 (1)°, respectively, with those of the hy-droxy-phenyl and eth-oxy-phenyl rings. The eth-oxy substituent forms a dihedral angle of 88.79 (2)° with the the prop-2-en-1-one group, which is found to be slightly twist...

In the crystal structure of the title compound, C(12)H(10)N(2)O(2)S, the benzene and the 2-nitro-thio-phene rings make a dihedral angle of 7.47 (12)°. The dihedral angle between the nitro group and the attached ring is 1.9 (6)°.

In the title hydrate, C(19)H(14)N(4)O·H(2)O, the dihedral angle between the two pyridine rings is 38.0 (2)°. The dihedral angle between the imidazole and benzene rings is 25.3 (2)°. The crystal structure is stabilized by inter-molecular O-H⋯O, O-H⋯N and N-H⋯O hydrogen bonds.

In the title compound, C(13)H(15)BF(2)N(2), the two pyrrole rings are almost coplanar, with a dihedral angle of 3.08 (10)°. The BF(2) plane is almost perpendicular to the boron-dipyrromethene ring plane, with a dihedral angle of 89.99 (7)°.

Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \mathbb Z_2$-equivariant degree theory, where $O(2)$ is related reversing symmetry, $\Gamma$ reflects symmetric character coupling in corresponding network $\mathbb Z_2$ oddness right-hand side. Abstract...