Difference between revisions of "Complex number"
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(Created page with "The set $\mathbb{C}$ of complex numbers is defined by $$\mathbb{C} = \left\{ a+bi \colon a,b \in \mathbb{R}\},$$ where $i=\sqrt{-1}$ is the imaginary number and $\mathbb{R...") |
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The set $\mathbb{C}$ of complex numbers is defined by | The set $\mathbb{C}$ of complex numbers is defined by | ||
| − | $$\mathbb{C} = \left\{ a+bi \colon a,b \in \mathbb{R}\},$$ | + | $$\mathbb{C} = \left\{ a+bi \colon a,b \in \mathbb{R} \right\},$$ |
| − | where $i=\sqrt{-1}$ is the [[imaginary number]] and $\mathbb{R}$ is the set of [[real numbers]]. | + | where $i=\sqrt{-1}$ is the [[imaginary number]] and $\mathbb{R}$ is the set of [[real numbers]]. The set $\mathbb{C}$ imbued with the natural addition and multiplication operations inherited from $\mathbb{R}$ is an [[algebraically closed]] [[field]]. |
Latest revision as of 19:06, 29 January 2016
The set $\mathbb{C}$ of complex numbers is defined by $$\mathbb{C} = \left\{ a+bi \colon a,b \in \mathbb{R} \right\},$$ where $i=\sqrt{-1}$ is the imaginary number and $\mathbb{R}$ is the set of real numbers. The set $\mathbb{C}$ imbued with the natural addition and multiplication operations inherited from $\mathbb{R}$ is an algebraically closed field.
