Difference between revisions of "Almost always"
From Maths
(→Meaning: But in measure theory and probability it means all but a set of measure zero) |
(→Examples: assuming that ''f'' runs over natural numbers) |
||
| Line 5: | Line 5: | ||
==Examples== | ==Examples== | ||
* {{M|f<10}} almost everywhere | * {{M|f<10}} almost everywhere | ||
| − | *: The set {{M|\{x\vert f(x)\ge 10\} }} is finite | + | *: The set {{M|\{x\vert f(x)\ge 10\} }} is finite (assuming that ''f'' runs over natural numbers, of course) |
==Note== | ==Note== | ||
Latest revision as of 21:44, 19 March 2016
Contents
Meaning
'Almost always or Almost everywhere or Almost all are phrases that mean all but a finite number[1]
TODO: But in measure theory and probability it means all but a set of measure zero
Examples
- [ilmath]f<10[/ilmath] almost everywhere
- The set [ilmath]\{x\vert f(x)\ge 10\} [/ilmath] is finite (assuming that f runs over natural numbers, of course)
Note
The template {{a.e}} which looks like "a.e" can be used where needed and will link here (it is actually a link, but on this page it doesn't show as one because it links to this very page!)
References
- ↑ Algebra - Serge Lang - Revised Third Edition - GTM
