biguplus
Represents a multiset union operation with a plus sign, commonly used in mathematical set theory and algebra.
Overview
Serves as a specialized mathematical operator for combining multisets, particularly useful in advanced algebra and theoretical computer science.
- Essential in contexts where elements can appear multiple times in sets
- Common in formal specifications and discrete mathematics
- Often appears in papers and texts dealing with bag semantics or multiset theory
- Frequently used alongside other big operators like bigcup and bigcap for comprehensive set operations
Examples
Disjoint union of sets indexed from 1 to n
\biguplus_{i=1}^n A_i = A_1 \uplus A_2 \uplus \cdots \uplus A_n
Computing multiset union over a family of multisets
M = \biguplus_{k=1}^3 \{1,1,2\}_k = \{1,1,1,1,1,1,2,2,2\}
Disjoint union of vector spaces
V = \biguplus_{i=1}^m V_i