Difference between revisions of "Almost always"
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==Meaning== | ==Meaning== | ||
'''Almost always''' or '''Almost everywhere''' or '''Almost all'' are phrases that mean ''all but a finite number''<ref>Algebra - Serge Lang - Revised Third Edition - GTM</ref> | '''Almost always''' or '''Almost everywhere''' or '''Almost all'' are phrases that mean ''all but a finite number''<ref>Algebra - Serge Lang - Revised Third Edition - GTM</ref> | ||
| + | {{Todo|But in measure theory and probability it means all but a set of measure zero}} | ||
==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== | ||
| − | The template <nowiki>{{a.e}}</nowiki> which looks like "{{a.e}}" can be used where needed and will link here | + | The template <nowiki>{{a.e}}</nowiki> 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== | ==References== | ||
<references/> | <references/> | ||
{{Definition}} | {{Definition}} | ||
Latest revision as of 21:44, 19 March 2016
Contents
[hide]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
- f<10 almost everywhere
- The set {x|f(x)≥10} 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
- Jump up ↑ Algebra - Serge Lang - Revised Third Edition - GTM
