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mathematics-physics-wiki/docs/en/mathematics/calculus/sets-and-numbers.md

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Sets and numbers

A collection of well defined objects. Such as the set of all even numbers

V = {x \in \mathbb{N} | x = 2n \space \mathrm{for} \space n \in \mathbb{N}}.

Interception and union

\mathrm{Let}
V = {x \in \mathbb{R} | 2 \leq x < 4} = [2 ; 4),
W = {x \in \mathbb{R} | \pi < x < 2\pi} = (\pi ; 2\pi).

\mathrm{Interception: } V \cap W = (\pi ; 4).
\mathrm{Union: } V \cup W = [2 ; 2\pi).