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Formally, let αi denote the transgressor and βi denote the detector index of country i.
For each country in the network, we will define two indices: the transgressor and the detector index (TI and DI, respectively).
Similar reasoning shows that the PageRank scores of the network that is obtained from the original one by reversing all the edges is a suitable detector index.
The basic idea of this algorithm can be formulated in the domain of food alerts as follows: a country should have a high transgressor index if there are many reports on this country issued by countries having a high detector index; similarly, a country should have a high detector index if this country issues many reports against countries with high transgressor indices.
The transgressor index of a country is high if many alerts are issued against that country by other countries, while the detector index is high if the country issues many useful food alerts against other countries.
Assuming that the source magnitude is not a function of wavelength or, equivalently, the source spectrum is known in the range of measurement, the light fluence rate at the detectors on the object surface is given by where d is the detector index at the boundary ∂ Ω, and R is the permissible source region index which contains the index of nodes of the finite element mesh inside the domain Ω.
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The PageRank algorithm calculates transgressor and detector indices separately.
Since there is no baseline value against which we can assess individual countries, we normalize the indices to ensure that the sum of the both the transgressor indices and the detector indices over all the countries equals 1.
We used two different algorithms to calculate the transgressor indices [TI] and detector indices [DI]: i) Google's PageRank algorithm [3] and ii) the HITS algorithm of Kleinberg [4].
Using a similar approach to characterize a country's behavior regarding food safety, we developed two indices (the transgressor and the detector indices, denoted by TI and DI, respectively) that quantify the extent and role of involvement of a country in global food safety.
These limits would be greatly extended by the now under construction Aerogel Threshold Cherenkov detector (refractive index n=1.012).
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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