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Formula:1577

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Digital Library of Mathematical Functions ID 4.2.E37

z 2 = { z , ℜ ⁡ z ≥ 0 , - z , ℜ ⁡ z ≤ 0 . superscript 𝑧 2 cases 𝑧 𝑧 0 𝑧 𝑧 0 {\displaystyle{\displaystyle\sqrt{z^{2}}=\begin{cases}z,&\Re z\geq 0,\\ -z,&\Re z\leq 0.\end{cases}}}


Constraint(s)

Symbols List

  • ℜ ⁡ absent {\displaystyle{\displaystyle\Re}} : real part
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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