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On the first step we define k nearest neighbors of each compound and assume that Euclidian distances between them are small and, thus, are nearly equal to corresponding geodesic distances.
This implies the row total is not equal to corresponding column total, because the NSSO data are obtained through primary sample survey and are available in market price, whereas data presented in IO table are based on factor price.
However, R and Q values of response permutation test were higher than or equal to corresponding original values in these subgroups, suggesting that the metabolomic profile was similar in all these histological types studied (Supplementary Figure S1A).
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This measure thus ranges between 0 and 1, with the ratio equal to 0 corresponding to a totally non-informative model and the ratio equal to 1 corresponding to a perfect model.
Partition functions of these matrix models are equal to the corresponding Nekrasov partition functions, and their spectral curves are the Seiberg Witten curves of the corresponding theories.
National values in this file are equal to the corresponding values in the UNDP HDI database.
The sum of the digits in any enclosure in the solution is equal to the corresponding clue number.
Moreover, we prove that the first best constant Aopt is equal to the corresponding Euclidean one.
The exponent is equal to 4 corresponding to the Rayleigh scattering.
To estimate the uncertainty in annual values, we assumed independence in the errors of half-hourly gap-filled estimates and a normal distribution with a mean equal to the corresponding gap-filling estimate and a standard deviation of σi.
Moreover, we demonstrate that the entropy for perfect matchings is equal to that corresponding to the extended Sierpiński graph with the same average degree as both studied scale-free networks.
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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