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We're something much more meaningful: we are legally related to each other as defined by our village".
We prove then that both relative commutantsM2∩M′0andM3∩M′1bear Woronowicz algebra structures, dual to each other, as defined by Masuda and Nakagami.
A direct extension of discrete-valued seeds to continuous values is to consider values that are close to each other (as defined by the C σ bound) as matches.
The first group comprises enantioselective transition-metal-catalyzed cross-coupling reactions, which we define as reactions in which there is selective formation of one enantiomer over the other as defined by a nonracemic chiral metal catalyst.
The expected taxonomic ranges of each pathway where then collapsed into the higher taxonomic levels: "root", "cellular organisms", "prokaryotes", "archaea", "bacteria", "eukaryotes", "animals", "fungi", "plants", and "other", as defined on the NCBI Taxonomy Database hierarchy and pathway frequencies and disagreement classes were summarized for each sample (Additional file 1: Figure S3).
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A republic is a form of government that puts the political rights of its citizens above all others, as defined in the Constitution.
We may as usual treat $\neg$ and $\rightarrow$ as primitive and take the others as defined.
Do the opinions of others as defined by your imagination really matter that much?
Taking the default values for the other factors (as defined in [23]), the factor R can be defined by begin{aligned} R = 93.2 - I_mathrm{d} - I_mathrm{e-eff}.
An estimated 29,800 men who have sex with other men — as defined by the US Centers for Disease Control — are currently living with the disease, part of the more than 1.2 million total Americans who are HIV positive.
Analyses were subsequently adjusted for other confounders, as defined below: smoking status, total cholesterol z-score, HDL z-score, creatinine z-score and BMI z-score (model 2).
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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