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Consider the following procedure for randomly drawing a subset S † of { 0, 1 } n of size c n : First draw a sequence as in Stage 1. Then the set S red = { s ℓ : ℓ ∈ [ L ] } associated to the sequence has size c n − N, where N = N S S ) is a random variable that represents the number of s ℓ in that duplicate an earlier term in the sequence.
Intuitively, if the sequence families consist of m1 and m2 sequences and we independently draw a sequence from each family, we observe the nucleotide pair (i, j) on average m1 α i · m2 β j times, corresponding to a relative frequency of α i β j.
The entropy can be interpreted as the uncertainty of which residue we would encounter at the site if we randomly draw a sequence from the MSA, where uncertainty here is mathematically quantified by the number of bits needed to encode the information on average.
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When Tristram/Sterne tries to describe the narrative paths that he has followed in each volume, he draws a sequence of strangely jagged or curving lines.
The other has been drawn, a sequence that leaves them 21st in the Championship, but few could argue they did not deserve more tangible reward from this match.
Part of the film was animated in England, and one of the film's British animators drew a sequence in which Jessica Rabbit's crotch was exposed without Disney's knowledge.
The students who had drawn a linear sequence of the scientific method in their first concept maps - ask a question, determine the problem, collect data, construct a hypothesis, test the hypothesis, analyze the data, and communicate the results - represented SPs as a circle in their second concept maps, specifically about acids and bases.
Before the intervention, when asked to represent their understanding of SPs, four out of nine groups drew a linear sequence in the following order: ask a question, determine the problem, collect data, construct a hypothesis, test the hypothesis, analyze the data, and communicate the results.
A naive approach would be to randomly draw a subset of the sequences in 𝒟test, measure their melting temperatures and use them as additional training data.
Next we estimate the parameters of the sequence to draw a new fit curve.
The participant is asked to draw a line between the correct sequence of numbers and letters in circles on a paper as fast as possible.
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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