The central carbonyl group in the title compound, C(20)H(18)FN(3)O(2), forms amine-hy-droxy N-H⋯O and hy-droxy-hy-droxy O-H⋯O hydrogen bonds, leading to two S(6) rings. The N-bound phenyl ring is coplanar with the five-membered ring to which it is attached [dihedral angle = 6.27 (10)°], but an overall twist in the mol-ecule is evident, the dihedral angle between the terminal phenyl and benzene ...

The title salt, C13H22NO3+·C7H5O2-, comprises one salbutamol cation {sys-tematic name: 4-[2-(tert-butyl-aza-nium-yl)-1-hy-droxy-eth-yl]-2-(hy-droxy-meth-yl)phenol} and a benzoate anion. The cation shows disorder of the hy-droxy group [occupancy ratio 0.738 (3):0.262 (3)] at the stereogenic C atom. The non-planar benzoate anion [the dihedral angle between the benzene ring and the carboxyl group ...

then there are a number of properties it possesses that play an important role in analysis on the quotient Γ\H, for example in the construction of Eisenstein series and the proof of the Selberg trace formula: • The region HY is invariant under the group N as well as the discrete subgroup Γ ∩ P ; • The quotient by N(Γ ∩ P ) is isomorphic to the subset [Y,∞); • for Y ≥ 1, the canonical projection...

In the crystal structure of the title compound, clarithromycin (CAM) monohydrate, C(38)H(69)NO(13)·H(2)O, the water mol-ecule behaves as a proton donor and is hydrogen bonded to the hy-droxy O atom of the CAM cladinose ring. The hy-droxy O atom also behaves as a proton donor, forming an inter-molecular hydrogen bond with one of the hy-droxy groups of the 14-membered aglycone ring. The CAM mol-e...

The Yoneda Lemma tells us that the Hom bifunctor is “non-degenerate” in a similar way. (a) For each object X ∈ C verify that hX := HomC(X,−) defines a functor C → Set. (b) Given two objects X,Y ∈ C state what it means to have hX ≈ hY as functors. (c) Given two objects X,Y ∈ C and an isomorphism of functors hX ≈ hY , prove that we have an isomorphism of objects X ≈ Y . [Hint: Let Φ : hX ∼ −→ hY ...

In the title compound, 0.75C12H14ClNO2·0.25C12H14ClNO, which is an adduct comprising 0.75 4-hy-droxy-piperidin-1-yl or 0.25 4-piperidin-1-yl substituents on a common (4-chloro-phen-yl)methanone component; the dihedral angles between the benzene ring and the two piperidine rings are 51.6 (3) and 89.5 (7)°, respectively. The hy-droxy-piperidine ring is in a bis-ectional oriention (bi) with the ph...

In the crystal structure of a semi-synthetic opioid drug buprenorphine, C29H41NO4 {systematic name: (2S)-2-[(5R,6R,7R,14S)-9α-cyclo-propyl-methyl-3-hy-droxy-6-meth-oxy-4,5-ep-oxy-6,14-ethano-morphinan-7-yl]-3,3-di-methyl-butan-2-ol}, the cyclo-propyl-methyl group is disordered over two sites with an occupancy factor of 0.611 (3) for the major component. One of the hy-droxy groups is involved in...

The Goal for development of Extraction HY-1B Level 1B (L1B) Product Image Data Procedure is to enhance the convenience of retrieving product data for users. The images extracted from L1B data are used as a quick look images for Product Archive and Distribution System of HY-1B (PADS) [1] and can be presented with a map while consumers search for data via Internet. And the procedure is integrated...

Data regularization is cast as a least-squares inversion problem. The model space is a five-dimensional (t,cmpx, cmpy, hx, hy) hypercube. The regularization minimizes the difference between various (t, cmpx, cmpy) cubes by applying a filter that acts in (hx,hy) plane. Azimuth Move-out is used transform the cubes to the same ( hx,hy) before applying the filter. The methodology is made efficient ...

High-precision Hylleraas-configuration-interaction Hy-CI method variational calculations are reported for the 2 S ground state of neutral lithium. The nonrelativistic energy is calculated to be −7.478 060 323 451 9 hartree, demonstrating that the Hy-CI technique is capable of sub-nanohartree accuracy for three-electron systems. A Hylleraas expansion without linked products of odd powers of rij ...