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text: '%%comment:\nI do not want to be shortened. The motivation for this is that I would prefer that someone has the ability to learn everything they need to know about relations just by reading the popup summary.\n%%\n\n[summary: A **relation** is a [3jz set] of [tuple_mathematics tuples], all of which have the same [tuple_arity arity]. The inclusion of a tuple in a relation indicates that the components of the tuple are related. A set of $n$-tuples is called an $n$*-ary relation*. Sets of pairs are called binary relations, sets of triples are called ternary relations, etc.\n\nExamples of binary relations include the equality relation on natural numbers $\\{ (0,0), (1,1), (2,2), ... \\}$ and the predecessor relation $\\{ (0,1), (1,2), (2,3), ... \\}$. When a symbol is used to denote a specific binary relation ($R$ is commonly used for this purpose), that symbol can be used with infix notation to denote set membership: $xRy$ means that the pair $(x,y)$ is an element of the set $R$.]\n\nA **relation** is a [3jz set] of [tuple_mathematics tuples], all of which have the same [todo: generalize the function_arity page to include general arity][tuple_arity arity]. The inclusion of a tuple in a relation indicates that the components of the tuple are related. A set of $n$-tuples is called an $n$*-ary relation*. Sets of pairs are called binary relations, sets of triples are called ternary relations, etc.\n\nExamples of binary relations include the equality relation on natural numbers $\\{ (0,0), (1,1), (2,2), ... \\}$ and the predecessor relation $\\{ (0,1), (1,2), (2,3), ... \\}$. When a symbol is used to denote a specific binary relation ($R$ is commonly used for this purpose), that symbol can be used with infix notation to denote set membership: $xRy$ means that the pair $(x,y)$ is an element of the set $R$.',
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