DLMF:4.2.E37 (Q1534)

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DLMF:4.2.E37
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    Statements

    Defining formula
    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}}}
    0 references
    DLMF id
    DLMF:4.2.E37
    0 references
    Symbols used
    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1acdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1abdec
    0 references
     
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