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  • 12:20, 16 October 2026 Rongzhou talk contribs created page Binary operation (Created page with "A binary operation is a function that maps two elements of a given set to one element of that set. In general form: $$ a*b=c,\, a,b,c \in X $$ where $a,b,c$ do '''not''' have to be distinct. == Formal definition == Let $X \neq \emptyset$ be a set. Any function $*:X \times X \to X$ is called a '''binary operation'''. $X$ is said to be closed under $*$.")