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So, as long as the top class at Harvard shows a proportionate distribution of social diversity, one can happily ignore the fact that all the students come from money.
Scanning electron microscopy (SEM) results revealed uniform dispersion of filler inside the matrix on using acoustic cavitation as it promotes proportionate distribution of filler into the polymer matrix.
(Imagine for the moment a hypothetical situation in which there is a given number of young adult females but an unlimited number of males in each population, so that any proportionate distribution of mothers according to the population of fathers is possible and reflective only of preferences).
Having constructed B, we then want to convert it into a matrix A that is similar in structure to P but shows the actual (realized) proportionate distribution of births among fathers' populations for each population of mothers (row totals are thus equal to 1).
A proportionate distribution of participants was ensured by allocating proportional quotas based on school response rate.
Figure 4 shows the proportionate distribution of different cancers among the totals in 1984, 2007 and 2030.
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The means for categories of determinants in Table 1 show proportionate distributions of the respondents across those categories, where the categories sum to one.
On the other hand, curveillance and disease notification within the context of screening are necessary in identifying proportionate distributions of disease burden in populations as well as the level of prevention and care resources required [ 10, 12].
A regional model pattern of specific causes of death was then constructed based on local vital registration and verbal autopsy data, and this proportionate distribution was then applied within each broad cause group.
I find for H. influenzae Rd a p-value < 0.05 that this distribution represents an equally proportionate distribution, so this null-hypothesis is rejected.
The sex ratio of children is constant for each population, under the assumptions of the model, and thus, the proportionate distributions provided by the A matrix are the same for male and female children.
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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