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I've seen this function M2 = tmp ⊕ Pi. What does the circle with cross do?

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2 Answers

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In logic and CompSci, $\oplus$ is used to denote the "exclusive or" or "XOR": $\quad x \lor y \land \lnot(x \land y)$.

In set theory, $\oplus$ denotes the disjoint union.

In linear algebra/vector analysis, it's used to denote the direct sum of two vector spaces.

It's also used to denote parity: see P Parity.

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Clearly, the context in which it's used is crucial.

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In $LaTeX$: use \oplus.

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$\oplus$ is often used for Directed Sum.

In Computer Science(especially cryptography), $\oplus$ usually means XOR, or bitwise addition.

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