

Union 
Details and Options

- If the listi are considered as sets, Union gives their union.
- Union[list1,list2,…] can be input in StandardForm and InputForm as list1⋃list2⋃…. The character ⋃ can be entered as
un
or \[Union].
- The listi must have the same head, but it need not be List.
- Union[list1,…,SameTest->test] applies test to each pair of elements in the listi to determine whether they should be considered the same.
Examples
open all close allBasic Examples (3)
Options (4)
Applications (4)
Properties & Relations (3)
Split on the sorted set gives lists of the same elements:
The union is equivalent to the first elements of these lists:
Tally gets the count of identical elements and returns them in the original order:
The union is the sorted list of the elements returned by Tally:
DeleteDuplicates is similar to Union without sorting:
See Also
Join Intersection Complement SymmetricDifference Tally DeleteDuplicates BinLists Split Or BitOr
Characters: \[Union]
Function Repository: MultisetUnion MultisetSum
Tech Notes
Related Guides
-
▪
- Rearranging & Restructuring Lists ▪
- Operations on Sets ▪
- Discrete & Integer Data ▪
- Math & Counting Operations on Lists ▪
- Database-Like Operations on Datasets ▪
- Finite Mathematics ▪
- Handling Arrays of Data ▪
- Discrete Mathematics ▪
- Tabular Transformation ▪
- Computation with Structured Datasets ▪
- Numerical Data
History
Introduced in 1988 (1.0) | Updated in 1996 (3.0)
Text
Wolfram Research (1988), Union, Wolfram Language function, https://reference.wolfram.com/language/ref/Union.html (updated 1996).
CMS
Wolfram Language. 1988. "Union." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 1996. https://reference.wolfram.com/language/ref/Union.html.
APA
Wolfram Language. (1988). Union. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Union.html
BibTeX
@misc{reference.wolfram_2025_union, author="Wolfram Research", title="{Union}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/Union.html}", note=[Accessed: 13-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_union, organization={Wolfram Research}, title={Union}, year={1996}, url={https://reference.wolfram.com/language/ref/Union.html}, note=[Accessed: 13-August-2025]}