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The researcher begins by assuming that natural selection works optimally, in the sense that the feature (or set of features) eventually selected represents the best adaptation for performing the function in question.
Although propositions are supposed to be meanings of sentences, no one can grasp such an infinite class directly when understanding a sentence; he can do so only by means of some particular algorithm, or recipe (as it were), for computing the function in question.
This implies that the function in question will be a continuous function.
If function is indeed transparent, it should not be implausible to suppose that reference is determined by a description that specifies the function in question.
Now, anyone who has taken calculus knows that the ideal way to find the area under a curve is to find the integral of the function, and, in this case, the function in question is the Lorenz curve.
Making an experiment measuring one of these quantities takes time and it is assumed that what measurement devices register is not the instantaneous value of the function in question, but rather its time average over the duration of the measurement.
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The main result of the paper is a characterization of the common null pair in terms of realization of the functions in question.
The Bezoutian based on realizations of the functions in question turns out to be most adequate and is studied in depth.
But we can define a notion of complexity near-superiority of f to g iff there is some constant k such that for any string, Cf ≤ Cg + k. f is least as good as g, subject to some constant which is independent of the functions in question.
Such measures are valid because they rely on detailed, and widely accepted, theoretical models of the functions in question.
In contrast, the bounds we impose are very specific to the case of the scoring function in question, and we also do not consider a sequence of bounds.
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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