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A recent challenge to Transitivity turns on heterogeneous sets of options, as per the discussion of Completeness above.
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Critics of the new mechanical philosophy have pushed on the importance of abstraction in science, drawing attention to the above discussions of completeness.
See (Greenlaw, Hoover, and Ruzzo 1995) and (Papadimitriou 1994) for additional discussion of \ \textbf{P}\ -completeness.
Table 1 shows the distribution of the main breast cancer risk factors by ethnic group in cases and controls for completeness; discussion of the distribution of these risk factors between ethnic groups is restricted to the controls.
aFor the sake of completeness, here is a brief discussion.
More specific considerations of mortality due to malaria, HIV and external causes are given in accompanying papers (12– 14) ; these causes are included here for the sake of completeness rather than for detailed discussion.
The latter will be the central focus of this article, but, for the sake of completeness, we begin with a brief discussion of the former.
For the sake of completeness, two important aspects should be addressed before starting the discussion about the performances.
For the sake of completeness, we summarize below our main findings from the simulation experiment and reproduce some related discussion.
For the sake of completeness, I polluted my system with these applications, so that I could include their utility in my discussion.
It gave us a sense of completeness.
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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