exclusive or

Etymology
+.

Noun

 * 1)  Exclusive disjunction: the use of  to indicate that of two predicates, one is true and one is false (without specifying which is which);
 * 2)  Exclusive disjunction: the use of  to indicate that of two or more predicates, an odd number are true (without specifying which or how many);
 * 3)  An exclusive disjunction; the result of applying the above-described exclusive or to two or more predicates;

Usage notes

 * Denoted ⊕.
 * In an expression of formal logic, the phrase (or hyphenated as ) may appear between the predicates, much like a conjunction:
 * (x ∧ ¬y) $$\lor$$ (¬x ∧ y) ↔ x ⊕ y, which reads: x exclusive-or y.

Translations

 * Finnish: eksklusiivinen tai, poissulkeva tai
 * French:
 * German: exklusives Oder
 * Hungarian:
 * Japanese: 排他的論理和
 * Russian: исключа́ющее «ИЛИ»
 * Spanish: o exclusivo
 * Swedish: exklusivt eller