The presence of pronounced inequalities in mortality and life expectancy across income, education and social groups has long been a “stylized fact” of demography. Research across a large number of developed and wealthy countries, including Ireland, has shown that those with fewer resources, less education or a lower occupational class have higher standardised mortality rates (SMRs) than more ad...

We construct a randomness-efficient averaging sampler that is computable by uniform constantdepth circuits with parity gates (i.e., in uniform AC0[⊕]). Our sampler matches the parameters achieved by random walks on constant-degree expander graphs, allowing us to apply a variety expander-based techniques within NC. For example, we obtain the following results: • Randomness-efficient error-reduct...

In this paper we consider the question of whether NC circuits can generate pseudorandom distributions. While we leave the general question unanswered, we show • Generators computed by NC circuits where each output bit depends on at most 3 input bits (i.e, NC03 circuits) and with stretch factor greater than 4 are not pseudorandom. • A large class of “non-problematic” NC generators with superline...

based on the randic suggestion of the resolution of a structure into shape, size, and function an index representing structure-catabolic fate relationships of amino acids is constructed. the index obtained by multiplying three factors; (nb2 + nr), nc and m; representing shape, size and function respectively, where nb2 = number of double bonds, nr = number of rings, nc = number of carbon atoms, ...