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Is $\lceil 2l/3 \rceil = l - \lfloor l/3 \rfloor$? Thank you very much.

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up vote 7 down vote accepted

Presumably $\ell$ is supposed to be an integer, since the other two terms in your equation are. Hint: try the three cases $\ell \equiv 0, 1, 2 \mod 3$.

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