Definition:Principal Square Root/Also defined as
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Definition
Let $z \in \C$ be a complex number.
Let $z^{1/2} = \set {w \in \C: w^2 = z}$ be the square root of $z$.
The principal square root of $z$ can sometimes also be found defined as the element $w$ of $z^{1/2}$ such that:
- $0 \le \arg w < \pi$