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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.
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Since we address ancestral vectors via the node number, this means that in the course of computations, per-gene trees are always represented by the same nodes in memory, that is, a node that once formed part of a gene tree will always from part of that gene tree.
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.
This is an external memory which can be written to and read from during the course of a computation.
Φ ht) ≥ 0 for all states ht of the data structure occurring during the course of the computation.
The main idea is to introduce new variables to preserve the values of certain variables at particular points in the program; or alternatively, to introduce special boolean variables to keep information about the course of the computation.
Notice that where factorial's stack steadily grows to a maximum depth and then shrinks back to the answer, Fibonacci's stack grows and shrinks repeatedly over the course of the computation.
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.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com