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- Q1434353 subject Q5639957.
- Q1434353 subject Q7153823.
- Q1434353 abstract "In probability theory, one says that an event happens almost surely (sometimes abbreviated as a.s.) if it happens with probability one. The concept is analogous to the concept of "almost everywhere" in measure theory. Although in many basic probability experiments there is no difference between almost surely and surely (that is, entirely certain to happen), the distinction is important in more complex cases relating to some sort of infinity. For instance, the term is often encountered in questions that involve infinite time, regularity properties or infinite-dimensional spaces such as function spaces. Basic examples of use include the law of large numbers (strong form) or continuity of Brownian paths.The terms almost certainly (a.c.) and almost always (a.a.) are also used. Almost never describes the opposite of almost surely: an event that happens with probability zero happens almost never.".
- Q1434353 wikiPageWikiLink Q10290214.
- Q1434353 wikiPageWikiLink Q1139334.
- Q1434353 wikiPageWikiLink Q1201815.
- Q1434353 wikiPageWikiLink Q12479.
- Q1434353 wikiPageWikiLink Q1397701.
- Q1434353 wikiPageWikiLink Q167.
- Q1434353 wikiPageWikiLink Q178036.
- Q1434353 wikiPageWikiLink Q192276.
- Q1434353 wikiPageWikiLink Q204.
- Q1434353 wikiPageWikiLink Q205.
- Q1434353 wikiPageWikiLink Q207952.
- Q1434353 wikiPageWikiLink Q230655.
- Q1434353 wikiPageWikiLink Q262464.
- Q1434353 wikiPageWikiLink Q2640920.
- Q1434353 wikiPageWikiLink Q378542.
- Q1434353 wikiPageWikiLink Q386292.
- Q1434353 wikiPageWikiLink Q3913.
- Q1434353 wikiPageWikiLink Q4440864.
- Q1434353 wikiPageWikiLink Q487132.
- Q1434353 wikiPageWikiLink Q50707.
- Q1434353 wikiPageWikiLink Q5639957.
- Q1434353 wikiPageWikiLink Q578985.
- Q1434353 wikiPageWikiLink Q5862903.
- Q1434353 wikiPageWikiLink Q605807.
- Q1434353 wikiPageWikiLink Q623472.
- Q1434353 wikiPageWikiLink Q7153823.
- Q1434353 wikiPageWikiLink Q752718.
- Q1434353 wikiPageWikiLink Q910404.
- Q1434353 wikiPageWikiLink Q934367.
- Q1434353 comment "In probability theory, one says that an event happens almost surely (sometimes abbreviated as a.s.) if it happens with probability one. The concept is analogous to the concept of "almost everywhere" in measure theory. Although in many basic probability experiments there is no difference between almost surely and surely (that is, entirely certain to happen), the distinction is important in more complex cases relating to some sort of infinity.".
- Q1434353 label "Almost surely".