Equations

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Equations, equalities or identities assert that two numbers, two sets or two items are the same. Some examples of equations include 1 + 1 = 2, $e^{i\pi }=-1$, $\mathbb {Z} ^{+}=\{1,2,3,\ldots \}$.

See also: Diophantine equations, Pell's equation, Euler's identity.