complex sign function
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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complex sign function
Summary
complex sign function is a sign function[1].
Key Facts
- complex sign function's instance of is recorded as sign function[2].
- complex sign function's instance of is recorded as complex function[3].
- complex sign function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[4].
- complex sign function's definition domain is recorded as set of complex numbers[5].
- complex sign function's different from is recorded as real sign function[6].
- complex sign function's different from is recorded as argument[7].
- complex sign function's different from is recorded as csgn complex sign function[8].
- complex sign function's different from is recorded as sign function[9].
- complex sign function's image of function is recorded as union[10].
- complex sign function's defining formula is recorded as \operatorname{sgn} z = \begin{cases} \frac{z}{\vert z \vert} & z \ne 0 \ 0 & z = 0 \end{cases}[11].
- complex sign function's defining formula is recorded as \operatorname{sgn} z = \exp(\mathrm{i} \operatorname{arg} z), z \neq 0[12].
- complex sign function's maintained by WikiProject is recorded as WikiProject Mathematics[13].
- complex sign function's in defining formula is recorded as z[14].
- complex sign function's in defining formula is recorded as \vert z \vert[15].
- complex sign function's in defining formula is recorded as {[16].
- complex sign function's in defining formula is recorded as \operatorname{sgn} z[17].
- complex sign function's in defining formula is recorded as \exp z[18].
- complex sign function's in defining formula is recorded as \mathrm{i}[19].
- complex sign function's in defining formula is recorded as \operatorname{arg} z[20].