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binary operation∗ mclase† 2013-03-21 15:03:04 A binary operation on a set X is a function from the Cartesian product X × X to X. A binary operation is sometimes called internal composition. Rather than using function notation, it is usual to write binary operations with an operation symbol between elements, or even with no operation at all, it being understood that juxtaposed elements are to be combined using an operation that should be clear from the context. Thus, addition of real numbers is the operation (x, y) 7→ x + y, and multiplication in a groupoid is the operation (x, y) 7→ xy. ∗ hBinaryOperationi created: h2013-03-21i by: hmclasei version: h33574i Privacy setting: h1i hDefinitioni h08A99i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1