The faults are deterministic (i.e., worst-case distributions of faults are considered) and static (i.e., they do not change in the course of computation).
The graphs obtained in the course of computation are shown on Figures 3 and 4, whereas Table 1 contains the corresponding numerical values of the parameters.
We are now able to formulate a statement guaranteeing the solvability of the original periodic problem (1.3), (1.4) based on the information obtained in the course of computation of iterations.
The method provides a strong clustering ability, with its result easily visible, under which sequences of genome fragments for each species are separated ("self-organized") with high accuracy, based only on similarities in oligonucleotide composition, with absolutely no information given on the species in the course of computation.
Next we address the problem of finding the optimal frequency schedule for a complex computation, with frequencies varying multiple times over the course of the computation's execution.
Instances of such models are assumed to have access to some genuine source of randomness – e.g. a fair coin or a quantum mechanical random number generator – which can be used to determine the course of their computation.
Thus although it might at first seem plausible that the ability to make random choices during the course of a computation allows us to practically solve certain problems which resist efficient deterministic algorithms, it is again an open problem whether this is true.
Alan Turing's theory of computation showed that any form of computation could be described digitally.
Bernays (1935), van Dantzig (1955), and Wang (1958).[49] In emphasizing the practical aspects of how we use numerals to represent natural numbers in the course of performing arithmetical computations, it is evident that the concerns which motivate strict finitism anticipate some of those which also inspired the development of complexity theory.
In emphasizing the practical aspects of how we use numerals to represent natural numbers in the course of performing arithmetical computations, it is evident that the concerns which motivate strict finitism anticipate some of those which also inspired the development of complexity theory.
