the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

we present a 24-year-old female referred with non-healing wound of a few days duration on anterior aspect of her right foreleg. biopsy of the wound was reported to be pyoderma gangrenosum on pathologic report. further work up of the patient for high grade fever and occasional leukopenias revealed the diagnosis of cyclic neutropenia. treatment with granulocyte colony-stimulating factor (g-csf) r...

Synthesis, structure determination, and magnetic properties are reported for the metastable and crystal-chemically isotypic phases cobalt carbodiimide, CoNCN, and nickel carbodiimide, NiNCN, adopting the hexagonal system and space group P63/mmc (NiAs type) with interatomic distances of Co-N = 2.17 Angstrom and Ni-N = 2.12 Angstrom and an octahedral coordination of the transition-metal ions; the...

in this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. meantime, an example is provided toillustrate this theorem. the main result shows that a self-mappingon a g-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. afterwards, some results inco...

The use of “fuel” compounds to drive chemical systems out equilibrium is currently interest because the potential for temporally controlled, responsive behavior. We have recently shown that transiently formed crown ethers exhibit counterintuitive templation effects when generated in presence alkali metal cations: “matched” cations, such as K+ with an 18-crown-6 analogue, suppress formation macr...