finite affine groups are given by groups of translations and di-lations on finite cyclic groups. for cyclic groups of prime orderwe develop a time-scale (wavelet) analysis and show that for alarge class of non-zero window signals/vectors, the generatedfull cyclic wavelet system constitutes a frame whose canonicaldual is a cyclic wavelet frame.

The oxovanadium(IV) template was formed with the reaction between vanadyl sulfate pentahydrate, 2-hydroxybenzophenone-S-allylthiosemicarbazone, and 3-methoxysalicylaldehyde. synthesized complex, along starting ligand, subjected to UV-Vis, FTIR, mass, magnetic measurement. square pyramidal structure proven single-crystal X-ray diffraction method. Stronger crystals were π-π interactions, which al...

In the title compound, C28H24N2O7S, the carbazole system is essentially planar, with a maximum deviation of 0.0644 (19) Å for the C atom connected to the 4,5-dimeth-oxy-2-nitro-phenyl group. The dihedral angle between the carbazole moiety and the dimethoxy-substituted nitrophenyl ring is 58.55 (7)°. The sulfonyl group forms two intra-molecular C-H⋯O bonds with the adjacent carbazole system, for...

The dimorphic fungus Mucor racemosus was found to contain the cyclic nucleotide guanosine 3',5'-monophosphate (cGMP). Approximately equivalent amounts of the compound were found in ungerminated spores, yeastlike cells, and mycelia. Germinating spores contained severalfold higher amounts of cGMP than the other cell forms. cGMP levels did not change significantly during the morphogenetic conversi...

Taking as a model the N-terminal folding of the cholecystokinin tyrosine-sulfated octapeptide [CCK-8; Asp-Tyr(SO3H)-Met-Gly-Trp-Met-Asp-Phe-NH2] deduced from conformational studies, two cyclic cholecystokinin (CCK) analogues were synthesized by conventional peptide synthesis: Boc-D-Asp-Tyr(SO3H)-Ahx-D-Lys-Trp-Ahx-Asp-Phe-NH2 [compound I (Ahx, 2-aminohexanoic acid)] and Boc-gamma-D-Glu-Tyr(SO3H)...

In the title compound, C(15)H(11)ClN(4)OS, the dihedral angle between the nine-membered 5-chloro-indolin-2-one ring system and the benzene ring is 10.00 (6)°. Intra-molecular cyclic N-H⋯O and C-H⋯S hydrogen-bonding inter-actions [graph set S(6)] are present in the N-N-C-N chain between the ring systems. In the crystal, mol-ecules form centrosymmetric cyclic dimers through inter-molecular N-H⋯O ...

In the title compound, C(16)H(14)N(4)OS, the dihedral angle between the nine-membered 5-methyl-indolin-2-one ring system and the benzene ring is 10.21 (7)°. Intra-molecular cyclic N-H⋯O and C-H⋯S hydrogen-bonding inter-actions [graph set S(6)] are present within the N-N-C-N chain between the ring systems. In the crystal, mol-ecules form centrosymmetric cyclic dimers through pairs of N-H⋯O hydro...

We have identified short N,C-capped peptides that selectively inhibit the proteasome of the malaria-causing pathogen Plasmodium falciparum. These compounds are highly potent in culture with no toxicity in host cells. One cyclic biphenyl ether compound inhibited intraerythrocytic growth of P. falciparum with an IC50 of 35 nM, and we show that even a pulse treatment with this cyclic peptide induc...

In the title compound, C(15)H(12)N(4)OS, the dihedral angle between the nine-membered indolin-2-one ring system and the phenyl ring is 2.72 (7)°. Intra-molecular cyclic N-H⋯O and C-H⋯S hydrogen-bonding inter-actions [graph set S(6)] are present, as are weak N-H⋯N inter-actions [graph set S(5)]. In the crystal, mol-ecules form centrosymmetric cyclic dimers through pairs of N-H⋯O hydrogen bonds [...