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(grammar) Referring back to the subject, or having an object equal to the subject.
(mathematics) Of a relationR on a setS, such that xRx for all membersx of S (that is, the relation holds between any element of the set and itself).
"Equals" is a reflexive relation, as it holds for all possible x; "not less" is non-reflexive because it is true only for some x and y, "unequal" is irreflexive, as it never holds between x and itself.