In the context of partitional knowledge models, we prove that, in a monotonic model, any cycle equation can be obtained as the product of cycle equations corresponding to cycles of length two. Hence, if a model is monotonic, has …nite states, and players’posteriors satisfy all cycle equations corresponding to cycles of length two, then these posteriors are consistent (i.e., there is a common pr...

The cell cycle parameters of interstitial cells in Hydra attenuata have been determined. Interstitial cells were classified according to cluster size in which they occur (i, 2,4, 8 or 16 cells) and morphology using maceration preparations and histological sections. The lengths of G,, S, Ga and M were determined by standard methods of cell cycle analysis using pulsechase and continuous labelling...

A cycle in a graph is dominating if every vertex lies at distance at most one from the cycle and a cycle is D-cycle if every edge is incident with a vertex of the cycle. In this paper, first we provide recursive formulae for finding a shortest dominating cycle in a Hahn graph; minor modifications can give formulae for finding a shortest D-cycle. Then, dominating cycles and D-cycles in a Halin g...

The mammalian SCN contains a biological clock that drives remarkably precise circadian rhythms in vivo and in vitro. This study asks whether the cycle-to-cycle variability of behavioral rhythms in mice can be attributed to precision of individual circadian pacemakers within the SCN or their interactions. The authors measured the standard deviation of the cycle-to-cycle period from 7-day recordi...

The circadian clock system in peripheral tissues can endogenously oscillate and is entrained by the light-dark and fasting-feeding cycles in mammals. Although the system's range of entrainment to light-dark cycles with a non-24 h (<24 h) interval has been studied, the range of entrainment to fasting-feeding cycles with shorter periods (<24 h) has not been investigated in peripheral molecular cl...

The duty-cycle control is a popular option for current limiting in LLC resonant converters. Such required to protect the converter either during start-up or an overload. Although this method proved be effective, switching and conduction losses of are increased because modified waveforms tank. Hence, safe operation, it vital distribute between switches symmetrically. However, conventional phase-...