\bigoplus - LaTeX Symbol

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⨁

\bigoplus

The \bigoplus symbol represents the direct sum of a family of objects, often used in the context of vector spaces, modules, or other algebraic structures. It is an operator that combines several objects into a new, larger object, preserving certain properties of the original objects.

Examples

V = V_{1} ⨁ V_{2}

Direct sum of two vector spaces V_1 and V_2.

V = V_1 \bigoplus V_2

A ⨁ B ⨁ C

Direct sum of three algebraic structures A, B, and C.

A \bigoplus B \bigoplus C

i = 1 ⨁ n V_{i}

Direct sum of a sequence of vector spaces indexed by i from 1 to n.

\bigoplus_{i=1}^n V_i