\coprodThe \coprod symbol represents the coproduct, which is a concept from category theory and algebra. It is the categorical dual of the product and is used to denote a construction that generalizes the disjoint union of sets, the direct sum of modules, and other similar constructions in various mathematical contexts.
Coproduct of a family of objects \(A_i\) indexed by \(i\) from 1 to \(n\).
\coprod_{i=1}^n A_iCoproduct of a collection of objects \(X_i\) indexed by a set \(I\).
X = \coprod_{i \in I} X_iCoproduct of groups \(G_\alpha\) indexed by \(\Lambda\).
\coprod_{\alpha \in \Lambda} G_\alpha