The probable behavior of am iuslance of size 1). of the stable marriage problem, chosen uniformly at rmdonl, is studied. Tl~e expected number of stable matchings is shown to be asymptotic t20 e-l77 In 1) for n m. The total rank of wonieu by nleu in the male optimal (pessimnl) matching is proven to be close to II In 11 (resp. T?.‘/ In j?), with high probability. 1980 Mat1~ema.tic.s Subject Class...

Friedrich Hebbel wrote his play Cyges und sein Ring between 1853 and 1854, hence only a few years after the March Revolution of 1848. He prefaced the play with a brief note that he apparently found necessary for the reader's orientation. "The action," he indicated, "is prehistorical and mythic; it takes place within a temporal span of twice twenty-four hours." 1 This sentence offers information...

The AMP-activated protein kinase (AMPK) is the critical component of a highly conserved signalling pathway found in all eukaryotes that plays a key role in regulating metabolic processes in response to variations in energy supply and demand. AMPK protects cells from stresses that decrease cellular energy charge (i.e increase the AMP:ATP ratio) by initiating a shift in metabolism towards the gen...