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- Almost_all abstract "In mathematics, the phrase "almost all" has a number of specialised uses."Almost all" is sometimes used synonymously with "all but [except] finitely many" (formally, a cofinite set) or "all but a countable set" (formally, a cocountable set); see almost.A simple example is that almost all prime numbers are odd, which is based on the fact that all but one prime number are odd. (The exception is the number 2, which is prime but not odd.)When speaking about the reals, sometimes it means "all reals but a set of Lebesgue measure zero" (formally, almost everywhere). In this sense almost all reals are not a member of the Cantor set even though the Cantor set is uncountable.In number theory, if P(n) is a property of positive integers, and if p(N) denotes the number of positive integers n less than N for which P(n) holds, and if p(N)/N → 1 as N → ∞(see limit), then we say that "P(n) holds for almost all positive integers n" (formally, asymptotically almost surely) and writeFor example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N/ln N. Therefore the proportion of prime integers is roughly 1/ln N, which tends to 0. Thus, almost all positive integers are composite (not prime), however there are still an infinite number of primes.Occasionally, "almost all" is used in the sense of "almost everywhere" in measure theory, or in the closely related sense of "almost surely" in probability theory.".
- Almost_all wikiPageID "1309".
- Almost_all wikiPageRevisionID "606143251".
- Almost_all hasPhotoCollection Almost_all.
- Almost_all title "Almost All".
- Almost_all urlname "AlmostAll".
- Almost_all subject Category:Mathematical_notation.
- Almost_all subject Category:Mathematical_terminology.
- Almost_all comment "In mathematics, the phrase "almost all" has a number of specialised uses."Almost all" is sometimes used synonymously with "all but [except] finitely many" (formally, a cofinite set) or "all but a countable set" (formally, a cocountable set); see almost.A simple example is that almost all prime numbers are odd, which is based on the fact that all but one prime number are odd.".
- Almost_all label "Almost all".
- Almost_all label "Fast alle".
- Almost_all label "幾乎所有".
- Almost_all sameAs Fast_alle.
- Almost_all sameAs m.0nr8.
- Almost_all sameAs Q1397701.
- Almost_all sameAs Q1397701.
- Almost_all wasDerivedFrom Almost_all?oldid=606143251.
- Almost_all isPrimaryTopicOf Almost_all.