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The symmetric maximum, denoted by Ⓥ, is an extension of the usual maximum ∨ operation so that 0 is the neutral element, and − x is the symmetric (or inverse) of x, i.e., x Ⓥ ( − x) = 0. However, such an extension does not preserve the associativity of ∨. This fact asks for systematic ways of parenthesing (or bracketing) terms of a sequence (with more than two arguments) when using such an extended...
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