complex sign function
(Q105356164)
complex-to-complex function which takes a number and returns its "direction" in the form of a number on the complex unit circle, or zero
complex-to-complex function which takes a number and returns its "direction" in the form of a number on the complex unit circle, or zero
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Current Data About
complex sign function
| (P31) |
(Q236813)
(Q3754567) |
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| (P1343) |
(Q109490582)
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| (P1568) |
(Q26851286)
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| (P1889) |
(Q105356166)
(Q1780131) (Q109374839) (Q236813) |
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| (P2396) |
(Q185359)
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| (P2534) |
\operatorname{sgn} z = \begin{cases} \frac{z}{\vert z \vert} & z \ne 0 \\ 0 & z = 0 \end{cases}
\operatorname{sgn} z = \exp(\mathrm{i} \operatorname{arg} z), z \neq 0
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| (P6104) |
(Q8487137)
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| (P7235) |
z
\vert z \vert
\{
\operatorname{sgn} z
\exp z
\mathrm{i}
\operatorname{arg} z
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other details
| aliases |
complex signum sgn signum of a complex number signum |
| description | complex-to-complex function which takes a number and returns its "direction" in the form of a number on the complex unit circle, or zero |