He has even speculated that such reproducing systems could have evolved and attained complexity comparable to that of modern cells [ 398].
To attain greater complexity, invention of translation and the Protein Breakthrough were required.
The computing time is sub linear to p. We recommend to choose a k of 4, 5 or 6 to attain moderate complexity or sparsity of the network (see a simulation study below for the choice of k).
In the proposed scheme, we employ a drastically low complexity structure which attains the complexity reduction in terms of polynomial order.
Readers of Borges may recall the land of Uqbar, a place inhabited by transparent tigers, in the story "Tlon, Uqbar, Orbis Tertius". The note sounded in that tale, says translator Andrew Hurley (who also translated Borges' "Collected Fictions") here "attains the complexity of a Bach fugue". "Complexity" isn't the right word, however.
Owing to the bewildering variety of currencies and units of weight and measurement then in use, the accounts attained a complexity described by a contemporary postmaster general of the United States as "almost beyond belief".
Polyphonic music had its beginnings in France, continued its development in Italy, attained incredible complexity in the Netherlands, and reached its fulfillment in Germany, in the works of Bach; the upwelling of the English novel of the eighteenth century is followed by the era of the French novel, then by the Russian novel, then by the Scandinavian, and so on.
These systems appear gradually in the lower animals and attain their full complexity and functional specialization in the higher animals.
Furthermore we are able to attain a space complexity of Θ(1).
Hence the dramatic paradox of the origin of life: in order to attain the minimal complexity required for a biological system to get on the Darwin-Eigen spiral, a system of a far greater complexity appears to be required.
Hence the first paradox of OORT : to attain the minimal complexity required for a biological system to start on the path of biological evolution, a system of a far greater complexity, i.e., a highly evolved one, appears to be required.
