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{{Legacy|The_dual}}
Given n basis elements (i.e. the number of primes in a prime limit) and a k-multival W in this basis, there is a ''dual'' (n-k)-multimonzo W°. Similarly, given a k-multimonzo M, there is a dual (n-k)-multival Mº. The dual may be defined in terms of the bracket product relating multivals and multimonzos, which we discuss first.
Given n basis elements (i.e. the number of primes in a prime limit) and a k-multival W in this basis, there is a ''dual'' (n-k)-multimonzo W°. Similarly, given a k-multimonzo M, there is a dual (n-k)-multival Mº. The dual may be defined in terms of the bracket product relating multivals and multimonzos, which we discuss first.