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Elsewhere, Pisa results were a further disappointment for the US, which saw its maths rank fall to 36th place overall, worse than its 2009 performance, which President Obama dubbed a "Sputnik moment" for American education.
Zipf showed that the logarithm of the frequencies with which words appear in the novel Ulysses by James Joyce, when plotted in decreasing order against the logarithm of their rank, fall on a straight line with slope −1, thus indicating a power law behavior.
If you're in the front rank, fall forward so you don't knock over the guy behind you, and if you are in the rear rank fall backwards.
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Appreciation of the dollar against the euro resulted in New York leap-frogging Paris, whose overall rank fell from seventh to 12th.
And how shocking the mad songs of Ophelia – a woman of noble rank, falling from grace into madness – must have seemed to those who first "heard" Hamlet.
And access to credit in Portugal is dismal, according to these measures — credit access worsened from 2012 to 2013 (Portugal's rank fell to 104th in the world from 97th).
Shares of the U.K.-traded Rank fell 4.1%, or $11, late Thursday.
However, to receive automatic admission, students must provide a transcript along with their application that verifies their class rank falls within the TTP.
The results for flagship attendance (upper-left panel) clearly show that the likelihood of attending a flagship drops when class rank falls above the ten percent cutoff.
The number of reads that could be classified with a bootstrap value of 50% to a certain taxonomic rank fell as the order of the rank progressed towards genus-level (Figure 1).
On the other hand, the crude stillbirth rate in Sweden declined by 5% after the correction and Sweden's rank fell from third to 10th (table 4).
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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