Complex numbers

Question	Answer
The magnitude	The absolute value
The unit circle	Le cercle unité le cercle trigonométrique
A complex number	Un nombre complexe
The real part of \(z\)	La partie réelle de \(z\)
The imaginary [ɪˈmædʒɪnəri] part of \(z\)	La partie imaginaire de \(z\)
The set of real numbers is a subset of the set of complex numbers	\(\mathbb{R}\subset \mathbb{C}\)
The Argand diagram	Invented by Jean-Robert Argand (1768-1822) is used to represent numbers on the complex plane
The modulus /ˈmɒdjələs/ of a complex number \(z\)	The distance from the origin to the complex number on the Argand diagram
The conjugate /ˈkɒndʒəɡeɪt/ of a complex number	Its reflexion in the real axis
A polar /ˈpəʊlə(r)/ form of a complex number \(z=x+y\text{i}\)	\(z=r\left[\cos(\theta)+\text{i}\sin(\theta)\right]\) where \(r=\|z\|=\sqrt{x^2+y^2}\) and \(\theta\) is an argument /ˈɑːɡjumənt/ of \(z\)

Resource summary

	Created by Dominique TREMULOT 11 months ago