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In mathematics, when X is a finite set with at least two elements, the permutations of X (that is, the bijective functions from X to itself) fall into two classes of equal size: the even permutations and the odd permutations. If any total ordering of X is fixed, the parity (oddness or evenness) of a permutation σ {\displaystyle \sigma } of X can be…
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permutation transpositions parity number inversions even odd two elements decomposition sign displaystyle defined cycle transposition also permutations cycles adjacent count
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Parity of a permutation | related to Equivalence of the two definitions | This | 0.60 | section |
| Parity of a permutation | related to Other definitions and proofs | The | 0.60 | section |
| Parity of a permutation | related to Other definitions and proofs | Let | 0.60 | section |
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