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Clearly, examples (i) and (ii) are symmetric but example (iii) is not.
But Example 2.4 does not satisfy the hypotheses of Theorem 1.2.
Clearly, Examples (1) and (2) are symmetric, but Example (3) is not.
But example 1.5 in Wu and Jiang (2011 [8]) shows that ND or END does not imply NA.
The relation ⊥ is called symmetric if x ⊥ y implies that y ⊥ x for all x, y ∈ X. Clearly examples (i) and (ii) are symmetric but example (iii) is not.
In this connection, notice that Example 3.7 works for both when the right-hand side is either 1 2 ( d ( x, u ) + d ( y, v ) ) or as in (3.1), but Example 3.8 works only for (3.1).
Similar(47)
This is but one example.
This is but one example, of course.
But examples eluded them.
But examples are legion of the tail wagging the dog.
But examples like these are few and far between.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com