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Results tagged with permutations
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user 55853
Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
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Conjectures on fractions where each digit appears once in numerator and denominator
In more formal terms, there are thus $7$ pairs of permutations $(\phi, \psi)$ on the set $\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$ such that the base 10 expansions
$$[\phi, \psi] := \frac{\sum_{i=0}^9 \phi( … Question 1: For other bases $r$, consider permutations $\phi$ on the set $\{0, 1, \ldots, r-1\}$, and again define an equivalence relation on pairs of permutations $(\phi, \psi)$ where two such are equivalent …
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