Symbols:Set Theory/Set Union/Set of Sets
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Union of Set of Sets
- $\bigcup$
Let $\mathbb S$ be a set of sets.
The union of $\mathbb S$ is:
- $\bigcup \mathbb S := \set {x: \exists X \in \mathbb S: x \in X}$
That is, the set of all elements of all elements of $\mathbb S$.
Thus the general union of two sets can be defined as:
- $\bigcup \set {S, T} = S \cup T$
The $\LaTeX$ code for \(\bigcup\) is \bigcup
.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $14$: Symbols