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We are interested in the distribution of the random variable PR(D), PageRank of a randomly chosen degree class D. PageRank PR d) is also the long term proportion or probability that PageRank process ends in a degree class with degree d.
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The average long-term proportion of repeat spawners among the spawning stocks has been 5%, but has increased in the last decade (Niemelä et al. 2006).
The long-term proportion assumed to be chronic is consistent with the findings of 2 systematic reviews and other long-term studies [ 33, 52, 55, 56].
Such transition matrices can represent stochastic processes and thus facilitate modelling uncertainty in rotations, and forecasting of the long-term proportions of each crop in a rotation, such as changes in climate or economics.
The decreased male proportion restricted to a single month is in contrast to the long term increased male proportion across Europe.
In the long term, the annual proportion of cervical cancer cases prevented is much higher when early adolescents are targeted.
But long term trends show the proportion of organ donors dying from overdose has gone up steadily over many years.
Although the UK Department of Health had made an important policy commitment to deliver written care plans to all patients with long term conditions, a significant proportion of patients found the concept difficult to interpret.
Tracking may be even cost-saving in the long term if a high proportion of bilaterally hearing-impaired children go on to achieve normal language skills and so enjoy increased lifetime productivity, as a result of the early intervention thereby enabled.
And the proportion of long term unemployed remains stuck at historic highs.
Although the prognosis of most patients presenting with malignant pleural mesothelioma (MPM) is poor, a small proportion survives long term.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com