19 lines
435 B
Markdown
19 lines
435 B
Markdown
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# Sets and numbers
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A collection of well defined objects. Such as the set of all even numbers
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$$
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V = \{x \in \mathbb{N} | x = 2n \space \mathrm{for} \space n \in \mathbb{N}\}.
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$$
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## Interception and union
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$$
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\mathrm{Let} \
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V = \{x \in \mathbb{R} | 2 \leq x < 4\} = [2 ; 4), \
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W = \{x \in \mathbb{R} | \pi < x < 2\pi\} = (\pi ; 2\pi).
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$$
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$$\mathrm{Interception: } V \cap W = (\pi ; 4).$$
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$$\mathrm{Union: } V \cup W = [2 ; 2\pi).$$
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