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Thus (1.9) represents the classical RKF plus two remainder terms.
From the second iteration and after the cutting procedure, there will be two remainder strips from the stock.
Then recover the edge composed of these two remainder elements of tree T. So far, the whole tree T is successfully restored from PS and RPS.
Unless a sequence has a last line length that is divisible by three when combined with any symbols that may already be cached in the compression buffer, then there will be either one or two remainder symbols.
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Beginning with the next-to-last equation, g can be expressed in terms of the quotient qN−1 and the two preceding remainders, rN−2 and rN−3: : Those two remainders can be likewise expressed in terms of their quotients and preceding remainders, : and : Substituting these formulae for rN−2 and rN−3 into the first equation yields g as a linear sum of the remainders rN−4 and rN−5.
After two remainders, 980 patients (59%) answered the questionnaire at six months.
Interestingly, each of the three remainder terms in Lemma 4 also converges to a real constant as n → ∞, say lim n → ∞ R i ( n ) = R i, i = 1, 2, 3.
In the next step, b(x) is divided by r0 x) yielding a remainder r1 x) = x2 + x + 2. Finally, dividing r0 x) by r1 x) yields a zero remainder, indicating that r1 x) is the greatest common divisor polynomial of a(x) and b(x), consistent with their factorization.
Because the number of clinics at each organization was not always divisible by eight, there were a total of four "remainder" clinics across all organizations.
The three remainders can then be used to calculate how many soldiers are present.
An average of three remainders were sent through WHO Country Representatives to non-responding countries.
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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