Example of operations which are commutative but not associative
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Commutative but not Associative. ... The general form of the answer is f(g(x, y)), where f is just about any function and g is a function which is both commutative and associative. Examples include 2 / (x + y), 2 ^ (x + y), 2 + (x * y), and (not (x and y)).
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