The union of two sets A and B is the set of elements which are in A, in B, or in both A and B. In set-builder notation,
$${\displaystyle A\cup B=\{x:x\in A{\text{ or }}x\in B\}}$$.
For example, if A = … See more

One can take the union of several sets simultaneously. For example, the union of three sets A, B, and C contains all elements of A, all elements of B, and all elements of C, and … See more

In Unicode, union is represented by the character U+222A ∪ UNION. In TeX, $${\displaystyle \cup }$$ is rendered from \cup and $${\textstyle \bigcup }$$ is rendered from \bigcup. See more

1. ^ Weisstein, Eric W. "Union". Wolfram Mathworld. Archived from the original on 2009-02-07. Retrieved 2009-07-14.
2. ^ "Set Operations | Union | Intersection | Complement | Difference | Mutually Exclusive | Partitions | De Morgan's Law | Distributive Law | … See more

The most general notion is the union of an arbitrary collection of sets, sometimes called an infinitary union. If M is a set or class whose elements are sets, then x is an element of the … See more

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• "Union of sets", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
• Infinite Union and Intersection at ProvenMath De Morgan's laws formally proven from the axioms of set theory. See more