complex unit circle
Set of complex numbers whose absolute value is equal 1; Lie group of complex numbers of unit modulus; topologically a circle
Also known as |z|=1 · circle group
- Instance of
- Subclass of
Overview
All data
24 statements · 8% with external sources · numbers in brackets are citations
- Defining formula
\{z \colon \vert z \vert = 1\} = \{z \colon z = e ^ {i\theta} = \mathrm{cis} (\theta) = \cos\theta + i\sin\theta \colon \theta \in \mathbb{R} \}
- Has characteristic
- magnitude of a complex number numeric value: 1
- In defining formula
zsymbol represents: complex number\{ . . \}symbol represents: setisymbol represents: imaginary unit\thetasymbol represents: angle, real numberesymbol represents: Euler's number
On other databases
5 identifiers linking complex unit circle across the web's reference databases