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A relational symbol representing natural joins between tables in database theory or matched pairs in category theory.

\bowtie image

Examples

Natural join operation in relational algebra (databases)

R \bowtie S

Composition of relations with matching domains

R_1 \bowtie R_2 = \{(x,y) \mid \exists z: (x,z) \in R_1 \land (z,y) \in R_2\}

Multiple relation joins in database queries

\text{Employee} \bowtie \text{Department} \bowtie \text{Location}