query: Is this the list of ordered pairs $(A,B)$, where $A, B$ are subsets of $\{1,2,3\}$ and $A∪B=\{1,2,3\}$?
positive_passages.docid: 144821
positive_passages.text: Number of ordered pairs of subsets
negative_passages.docid: 41899
negative_passages.text: Notation for: all subsets of size 2
negative_passages.docid: 16553
negative_passages.text: Cardinality of the set of all total orders on $\Bbb{N}$
negative_passages.docid: 127233
negative_passages.text: Cardinality of order types in $\mathbb{N}$
negative_passages.docid: 134050
negative_passages.text: Question about set notation: what does $]a,b[$ mean?
negative_passages.docid: 109219
negative_passages.text: How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?
negative_passages.docid: 94697
negative_passages.text: Grouping the first two elements in a list of ordered triples
negative_passages.docid: 149939
negative_passages.text: Number of ordered pairs $(a,b)$ such that $ab \le 3600$
negative_passages.docid: 41080
negative_passages.text: If A, B, and C are set and $A \subset B ,B \subset C \rightarrow A \subset C$
negative_passages.docid: 76823
negative_passages.text: Is it the case that for all sets $A, B, C,$ and $D$, $(A \times B) \cup (C \times D) = (A \cup B) \times (C \cup D)$?
negative_passages.docid: 52451
negative_passages.text: Ordered Triples and Set Theory
negative_passages.docid: 134914
negative_passages.text: Let $A,B$ and $U$ be sets so that $A\subseteq U$ and $B\subseteq U$. Prove that $A\subseteq B$ iff $(U\setminus B)\subseteq(U\setminus A)$.
negative_passages.docid: 107010
negative_passages.text: How many elements of order $k$ are in $S_n$?
negative_passages.docid: 124467
negative_passages.text: Can $(X_1,X_2) \cap (X_3,X_4)$ be generated with two elements from $k[X_1,X_2,X_3,X_4]$?
negative_passages.docid: 48502
negative_passages.text: number of ordered pairs of integers $(x,y)$ satisfying the equation
negative_passages.docid: 39880
negative_passages.text: Cardinality of Orderings of $\mathbb{R}$
negative_passages.docid: 85852
negative_passages.text: How many total order relations on a set $A$?