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In one sense, simulation is the process by which a digital computing system (such as a Turing machine) computes the same function as another digital computing system.
Showing that one of these models \(\mathfrak{M}_1\) determines the same class of functions as some reference model \(\mathfrak{M}_2\) (such as \(\mathfrak{T}\)) requires showing that for all \(M_1 \in \mathfrak{M}_1\), there exists a machine \(M_2 \in \mathfrak{M}_2\) which computes the same function as \(M_1\) (and conversely).
Instead, BLEU computes the same modified precision metric using n-grams.
One would expect that a computer algorithm would be more consistent and have less variation, and this is confirmed when one computes the same statistics for the manually drawn backbones.
FRAPPE computes maximum-likelihood estimates of the parameters of the same model using an expectation-maximization algorithm, while ADMIXTURE computes the same estimates using a sequential quadratic programming algorithm with a quasi-Newton acceleration scheme.
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Equivalently, the programs coded by e and ƒ e) compute the same function.
Each year she must take another withdrawal, computed the same way.
Computing the same aggregations over and over is a waste of time.
The q-values were computed the same way as for the GBS datasets.
Both EM and RM models computed the same optimal pumping strategies.
Furthermore, an indefinite number of formalisms different from cellular automata, such as Turing machines, can be used to compute the same functions computed by cellular automata.
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