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.

A simple and sensitive assay for adenosine 3':5'-cyclic monophosphate (cAMP) has been developed that is based on competition for protein binding of the nucleotide, presumably to a cAMP-dependent protein kinase. The nucleotide-protein complex is adsorbed on a cellulose ester filter. Assay conditions are such that a binding constant approaching 10(-9) M is obtained, and the assay is thus sensitiv...

We have used molecular dynamics methods to investigate the effects of cyclic chain architecture on the properties of dilute solutions. In order to include solvent effects in estimating these properties, we use a van der Waals scaling factor determined for each solvent by matching to the theta condition. We predict that the theta temperature ~u! of cyclic PE ~c-PE! is ;10% lower than for the lin...

Four cyclic nucleotide phosphodiesterase (PDE) activities were separated from low-speed supernatants of homogenates of human cardiac ventricle by DEAE-Sepharose chromatography, and designated PDE I-PDE IV in order of elution with an increasing salt gradient. PDE I was a Ca2+/calmodulin-stimulated activity, and PDE II was an activity with a high Km for cyclic AMP which was stimulated by low conc...

Abstract Rhodium(I)-catalyzed enantioselective cyclization of enynes through C(sp3)–H bond activation was investigated. It found that the having a tert-butyl moiety on alkene afforded spirocyclic compound (up to 92% ee), while an isopropyl or ethyl group gave cyclic diene 98% ee). Furthermore, intermolecular competition reaction using deuterium-labeled substrate revealed one key steps, high ene...

This work deals with the influence of neighborhood in simple rock–paper–scissors models biodiversity. We consider case three distinct species which evolve under standard rules mobility, reproduction and competition. The rule competition follows guidance game, prey being annihilated, leaving an empty site accordance May-Leonard proposal for predator use von Neumann neighborhood, but we mobility ...

1. Cyclic dynamics of various periods are pervasive in many insect populations where interactions with natural enemies are known to be important. How stage-structured processes within the host population, such as competition and cannibalism, affect these interactions has received little attention so far. 2. Using the well-studied laboratory host–parasitoid system of Plodia interpunctella and Ve...

Game dynamics in which three or more strategies are cyclically competitive, as represented by the rock-scissors-paper game, have attracted practical and theoretical interests. In evolutionary dynamics, cyclic competition results in oscillatory dynamics of densities of individual strategists. In finite-size populations, it is known that oscillations blow up until all but one strategies are eradi...