Hodge dual: Difference between revisions

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{{Legacy}}
{{Legacy}}
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'' {{nowrap|(''n'' − ''k'')}}-multimonzo '''W'''°. Similarly, given a k-multimonzo '''M''', there is a dual {{nowrap|(''n'' − ''k'')}}-multival '''M'''º. 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'' {{nowrap|(''n'' − ''k'')}}-multimonzo '''W'''°. Similarly, given a k-multimonzo '''M''', there is a dual {{nowrap|(''n'' − ''k'')}}-multival '''M'''º. The dual may be defined in terms of the bracket product relating multivals and multimonzos, which we discuss first.