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In mathematics, a partial order ≤ on a set ''X'' is said to be 'dense' (or 'dense-in-itself') if, for all ''x'' and ''y'' in ''X'' for which ''x'' < ''y'', there is a ''z'' in ''X'' such that ''x'' < ''z'' < ''y''.
The rational numbers with the ordinary ordering are a densely ordered set in this sense, as are the real numbers. On the other hand, the ordinary ordering on the integers is not dense.

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See also

See also

★ Dense set

★ Dense-in-itself