User:Inthar/Style guide: Difference between revisions

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=== Sets ===
=== Sets ===
* For conciseness the following notation is provided for ranges. For <math>x \in \mathbb{R}</math> and <math>n\in \mathbb{Z}_{>0},</math> <math>[n]_x</math> denotes <math>\{x, x+1, ..., x+n-1\}.</math> You may also use <math>[i:j]</math> for <math>[j-i]_i.</math> For ''n'' = 0, [0]<sub>x</sub> is the empty set. For <math>n = \omega</math>, [ω]<sub>''x''</sub> is the set <math>\{x + n : n \in \mathbb{Z}_{\geq 0}\}.</math>
* For conciseness the following notation is provided for ranges. For <math>x \in \mathbb{R}</math> and <math>n\in \mathbb{Z}_{>0},</math> <math>[n]_x</math> denotes <math>\{x, x+1, ..., x+n-1\}.</math> [0]<sub>x</sub> is the empty set, and [ω]<sub>''x''</sub> is the set <math>\{x + n : n \in \mathbb{Z}_{\geq 0}\}.</math>
** You may also use <math>[i:j]</math> for <math>[j-i]_i</math> and <math>[i:]</math> for <math>[\omega]_i.</math>


=== Words ===
=== Words ===