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Description
Flashcards by Dominique TREMULOT, updated 9 months ago
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Created by Dominique TREMULOT
9 months ago
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| 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 \(z\) |
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