DLMF:4.2.E5 (Q1501): Difference between revisions

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imported>Admin
 
imported>Admin
Property / constraint
 

- π < ph z π 𝜋 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z\leq\pi}}

-\pi<\phase@@{z}\leq\pi
Property / constraint: - π < ph z π 𝜋 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z\leq\pi}} / rank
 
Normal rank

Revision as of 15:58, 30 December 2019

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DLMF:4.2.E5
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    Statements

    ln z = ln | z | + i ph z , 𝑧 𝑧 imaginary-unit phase 𝑧 {\displaystyle{\displaystyle\ln z=\ln\left|z\right|+\mathrm{i}\operatorname{ph% }z,}}
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    - π < ph z π 𝜋 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z\leq\pi}}
    0 references