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I am familiar with the direct sum of sets, $\oplus$.

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In what context? In some contexts, it means tensor product. – lhf Apr 7 '11 at 11:59
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More generally, this list can be useful: en.wikipedia.org/wiki/List_of_mathematical_symbols – joriki Apr 7 '11 at 12:15
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The direct sum of sets?!? – Rasmus Apr 7 '11 at 14:49

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The $\otimes$ symbol is used for the tensor product.

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