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It has been shortlisted for the TransPennine and Greater Anglia franchises and we include an option value of over £26m in our sum of the parts based on its proportionate ownership and our estimate of the franchise value.
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Based on its I.P.O.
The proposed algorithm unifies the complementary advantages of different block-induced algorithms, which are based on block proportionate matrix and block zero attracting penalty.
Determination of sample size was based on a proportionate to size sampling formulae (Groebner and Shannon 2005).
The signal intensities on MR images are based on the proportionate composition of red and yellow marrow and to a lesser extent mineralized matrix [13, 14] (Fig 1).
A selective number of final year students, based on the proportionate stratified sampling were taken from each course and were asked about their preference towards their career choice after the completion of their degree (Table 7).
The remaining two delegates will be awarded based on the proportionate vote of the entire statewide primary vote.
Maps of the 2 counties that delineate each lot by land ownership were obtained from the respective county governments, and 30 census block groups (the second smallest geographic subdivision for which the U.S. Census Bureau tabulates sample data) in the 2 counties were randomly selected based on probability proportionate to population size sampling.
A total 353 eligible subjects were approached based on a proportionate attendance of patients in the different studied clinics.
Analysis of annual and monthly cycles was based on monthly proportionate morbidity aggregated over all years of data included in the analysis.
Based on population proportionate to size, 1337 students from private and 117 students from government schools were included in the study sample.
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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