query: Cardinality of the set of partintions of $\mathbb N$
positive_passages.docid: 153370
positive_passages.text: Number of different partitions of N
negative_passages.docid: 147484
negative_passages.text: For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?
negative_passages.docid: 45448
negative_passages.text: Minimum number of $k$-partitions of a set of size $n$ to enumerate all $n \choose k$ combinations
negative_passages.docid: 59459
negative_passages.text: Binary sequences and ${2}^{\mathbb{N}}$ have the same cardinality
negative_passages.docid: 79984
negative_passages.text: Partition of ${1, 2, ... , n}$ into subsets with equal sums.
negative_passages.docid: 79568
negative_passages.text: Cardinality of the set $D$
negative_passages.docid: 104274
negative_passages.text: Express $C$ interms of the sets $A_n$
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 24266
negative_passages.text: Accumulation points of the set $S=\{(\frac {1} {n}, \frac {1} {m}) \space m, n \in \mathbb N\}$
negative_passages.docid: 95373
negative_passages.text: Additive set function on a semiring of sets
negative_passages.docid: 81509
negative_passages.text: The cardinality of a countable union of countable sets, without the axiom of choice
negative_passages.docid: 127123
negative_passages.text: Cardinality of power set and binary sequence
negative_passages.docid: 113668
negative_passages.text: Uncountable chain of subsets of $\mathbb N$
negative_passages.docid: 156335
negative_passages.text: Proving Power Set of $\mathbb N$ is Uncountable
negative_passages.docid: 70327
negative_passages.text: the numer of partial function between two sets in combinatoric way
negative_passages.docid: 146098
negative_passages.text: Number of nonempty subsets of a set with $n$ elements
negative_passages.docid: 7785
negative_passages.text: Cardinality of sum-set