User:Inthar/Style guide: Difference between revisions

Inthar (talk | contribs)
No edit summary
Inthar (talk | contribs)
Line 16: Line 16:


=== 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> [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>
* 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:
** You may also use <math>[i:j]</math> for <math>[j-i]_i</math> and <math>[i:]</math> for <math>[\omega]_i.</math>
** <math>[i:j]</math> for <math>[j-i]_i</math>
** <math>[i:]</math> for <math>[\omega]_i.</math>


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