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Among six tested strains, the N2 laboratory strain had the strongest preference for Serratia over E. coli, and a highly divergent strain, HW, had the weakest preference for Serratia.
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The coalition preferred, while the single male showed a slightly weaker preference for scent marking within the buffer zone along the eastern boundary.
In what follows, \ \preceq\) represents a weak preference relation, i.e., the relation "… is not preferred to …".
A weak preference for twinning was found for smaller grain boundary misorientation angles.
In the given auction two diamonds by Fred Gitelman (North) was either a weak preference to two hearts or fourth-suit game-forcing.
The findings indicated that the usual methods of interior architecture education address a well-balanced class position in active/reflective and sensing/intuitive scales, a moderate to strong preference in visual scale and a weak preference in global scale.
Let \(S\) be a finite set, and \ \preceq\) a weak preference relation on \(S\).
This contradicts transitivity of indifference, and therefore also transitivity of weak preference.
A weak preference relation ≽ is called quasi-transitive if its strict part ≻ is transitive.
(For a simple proof of Theorem 1, except for a strict rather than a weak preference relation, consult Peterson 2009: 95).
Start with the Completeness axiom, which says that an agent can compare, in terms of the weak preference relation, all pairs of options in \(S\).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com