comparability
comparability (n)
English Definitions:
comparison, compare, equivalence, comparability (noun)
qualities that are comparable
"no comparison between the two books"; "beyond compare"
comparability (Noun)
The condition of related objects.
comparability (Noun)
Comparison or equivalence.
Comparability
In mathematics, any two elements x and y of a set P that is partially ordered by a binary relation ≤ are comparable when either x ≤ y or y ≤ x. If it is not the case that x and y are comparable, then they are called incomparable. A totally ordered set is exactly a partially ordered set in which every pair of elements is comparable. It follows immediately from the definitions of comparability and incomparability that both relations are symmetric, that is x is comparable to y if and only if y is comparable to x, and likewise for incomparability.
Comparability
In mathematics, two elements x and y of a set P are said to be comparable with respect to a binary relation ≤ if at least one of x ≤ y or y ≤ x is true. They are called incomparable if they are not comparable.
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