in reply to Re^2: Perl 6 - Operator renaming
in thread Perl 6 - Operator renaming

Concatenation isn't associative.
This is, of course, completely wrong. Mathematically, the set of all strings over an alphabet forms a (associative) monoid under the concatenation operator.

Did you mean commutative?

blokhead

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Re^4: Perl 6 - Operator renaming
by thor (Priest) on Sep 02, 2005 at 11:55 UTC
    For those of us mere mortals.
    • Given a set A with members a, b, c, and an operator *, * is said to be an associative operation iff (a * b) * c = a * (b * c) for arbitrary a, b, c within A. Even plainer: the order in which you take operations doesn't matter.
    • Given a set A with members, a, b, and an operator *, * is said to be a commutative operation iff a * b = b * a for arbitrary a, b within A. Even plainer: operand order doesn't matter.

    thor

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