generated from smyalygames/quartz
9 lines
269 B
Markdown
9 lines
269 B
Markdown
# Definition
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Let $z = x + iy$. Then its **complex conjugate** is
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$$\bar{z} := x-iy.$$
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# Properties
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The following hold:
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1. $\mid z \mid^2 = z \bar{z}$,
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2. $z + \bar{z} = 2 \mathrm{Re} z$,
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3. $z - \bar{z} = 2i \mathrm{Im} z$,
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4. $\overline{r e^{i \phi}} = r e^{-i \phi}$. |