What does $\bigoplus$ mean when applied to two sets?
For example if $A=\{a,b,c\}$ and $B=\{1,2,3\}$, then what is $A\bigoplus B$?
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Depends on the context, it's usually the direct sum. See https://en.wikipedia.org/wiki/Direct_sum – Zest May 07 '21 at 23:14
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1You need to provide more context. $\oplus$ is commonly used for the exclusive or operation on propositions, but that corresponds to the symmetric difference operation on sets which is usually written as $\ominus$ or $\Delta$. – Rob Arthan May 07 '21 at 23:23
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@RobArthan: Other notations for symmetric difference that I have seen include $\oplus$ and even simply $+$. – Brian M. Scott May 07 '21 at 23:34
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@BrianM.Scott: fair enough, but the OP still needs to supply more context to get a good answer. – Rob Arthan May 07 '21 at 23:36
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@RobArthan: Oh, absolutely! Especially after combining the abstract algebra tag with an example that doesn’t seem to fit it at all well. – Brian M. Scott May 07 '21 at 23:37
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For sets, you might sometimes see $\oplus$ for "disjoint union". – GEdgar May 07 '21 at 23:45