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In number theory and enumerative combinatorics, the ordered Bell numbers or Fubini numbers count the weak orderings on a set of n {\displaystyle n} elements. Weak orderings arrange their elements into a sequence allowing ties, such as might arise as the outcome of a horse race.
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displaystyle ordered numbers bell weak number orderings sequence count set ordering elements may partition sum function one partitions summation permutations
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| horse races | instance of | including certain sporting contests | 0.80 | text |
| Ordered Bell number | related to Combinatorial enumeration | As | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Bell | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Cayley | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Fubini's | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Weak | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | For | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | In | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Problems | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Velleman | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Call | 0.60 | section |
| Ordered Bell number | related to Combinatorial enumeration | Japanese | 0.60 | section |
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