generated from smyalygames/quartz
10 lines
380 B
Markdown
10 lines
380 B
Markdown
# Definition
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$\mathbb{C}$ is obtained from $\mathbb{R}$ by adjoining the imaginary unit $i$ such that $i^2 = -1$.
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In particular, a complex number is of the form
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$$z = x+iy$$
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with $x$, $y$ being real, we write
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$$\mathrm{Re} z = x, \; \mathrm{Im} z = y.$$
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# Absolute Value
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Let $z = x+iy$. Its **absolute value** (or [[Norm|norm]]) is defined by
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$$\mid z \mid \sqrt{ x^2 + y^2 }.$$ |