DLMF:4.45.E15 (Q2024): Difference between revisions

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imported>Admin
 
imported>Admin
Property / constraint
 

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

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

Revision as of 16:04, 30 December 2019

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DLMF:4.45.E15
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    Statements

    ln z = ln | z | + i ph z , 𝑧 𝑧 𝑖 phase 𝑧 {\displaystyle{\displaystyle\ln z=\ln|z|+i\operatorname{ph}z,}}
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    - π ph z π 𝜋 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z\leq\pi}}
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