Definition:Complex Number/Definition 1

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A complex number is a number in the form $a + b i$ or $a + i b$ where:

$a$ and $b$ are real numbers
$i$ is a square root of $-1$, that is, $i = \sqrt {-1}$.

The set of all complex numbers is denoted $\C$.

Also see

  • Results about complex numbers can be found here.