Symbols:Set Theory/Set Intersection/Set of Sets
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Intersection of Set of Sets
- $\bigcap$
Let $\Bbb S$ be a set of sets.
The intersection of $\Bbb S$ is:
- $\bigcap \Bbb S := \set {x: \forall S \in \Bbb S: x \in S}$
That is, the set of all objects that are elements of all the elements of $\Bbb S$.
Thus:
- $\bigcap \set {S, T} := S \cap T$
The $\LaTeX$ code for \(\bigcap\) is \bigcap
.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $14$: Symbols