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===Mathematical Definition=== | ===Mathematical Definition=== | ||
A binary relation R defined on a set S is said to be transitive if, for any elements A, B, and C in the set S, given that A R B and B R C, it necessarily follows that A R C. | A binary relation {{huge|''R''}} defined on a set S is said to be transitive if, for any elements A, B, and C in the set S, given that A R B and B R C, it necessarily follows that A R C. | ||