1. "It's very well known and highly associative . 2. In mathematics, addition and multiplication of real numbers is associative . 3. This is not so obvious because xor is commutative and associative . 4. Any algebra whose elements are idempotent is also power-associative . 5. String concatenation is an associative , but non-commutative operation. 6. Aggregate data types are arrays, sets, and associative tables. 7. Unlike the ordinary quaternions, the hyperbolic quaternions are not associative . 8. Indeed, the classical Boolean conjunction is both commutative and associative . 9. The property relatedMatch makes a simple associative relationship between two concepts. 10. Sometimes, it is not assumed that the multiplication is associative .