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- Almost_everywhere abstract "In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities. The notion of almost everywhere is a companion notion to the concept of measure zero. In the subject of probability, which is largely based in measure theory, the notion is referred to as almost surely.More specifically, a property holds almost everywhere if the set of elements for which the property does not hold is a set of measure zero (Halmos 1974), or equivalently if the set of elements for which the property holds is conull. In cases where the measure is not complete, it is sufficient that the set is contained within a set of measure zero. When discussing sets of real numbers, the Lebesgue measure is assumed unless otherwise stated.The term almost everywhere is abbreviated a.e.; in older literature p.p. is used, to stand for the equivalent French language phrase presque partout.A set with full measure is one whose complement is of measure zero. In probability theory, the terms almost surely, almost certain and almost always refer to sets with probability 1, which are exactly the sets of full measure in a probability space.Occasionally, instead of saying that a property holds almost everywhere, it is said that the property holds for almost all elements (though the term almost all also has other meanings).".
- Almost_everywhere thumbnail Rectangle_example.svg?width=300.
- Almost_everywhere wikiPageID "44688".
- Almost_everywhere wikiPageLength "7226".
- Almost_everywhere wikiPageOutDegree "32".
- Almost_everywhere wikiPageRevisionID "707562434".
- Almost_everywhere wikiPageWikiLink ASCII.
- Almost_everywhere wikiPageWikiLink Almost_all.
- Almost_everywhere wikiPageWikiLink Almost_surely.
- Almost_everywhere wikiPageWikiLink Borel_measure.
- Almost_everywhere wikiPageWikiLink Category:Mathematical_terminology.
- Almost_everywhere wikiPageWikiLink Category:Measure_theory.
- Almost_everywhere wikiPageWikiLink Complete_measure.
- Almost_everywhere wikiPageWikiLink Continuous_function.
- Almost_everywhere wikiPageWikiLink Conull_set.
- Almost_everywhere wikiPageWikiLink Derivative.
- Almost_everywhere wikiPageWikiLink French_language.
- Almost_everywhere wikiPageWikiLink Function_(mathematics).
- Almost_everywhere wikiPageWikiLink Hyperreal_number.
- Almost_everywhere wikiPageWikiLink If_and_only_if.
- Almost_everywhere wikiPageWikiLink Lebesgue_integration.
- Almost_everywhere wikiPageWikiLink Lebesgue_measure.
- Almost_everywhere wikiPageWikiLink Mathematical_analysis.
- Almost_everywhere wikiPageWikiLink Measure_(mathematics).
- Almost_everywhere wikiPageWikiLink Monotonic_function.
- Almost_everywhere wikiPageWikiLink Normal_number.
- Almost_everywhere wikiPageWikiLink Null_set.
- Almost_everywhere wikiPageWikiLink Probability.
- Almost_everywhere wikiPageWikiLink Probability_theory.
- Almost_everywhere wikiPageWikiLink Real_number.
- Almost_everywhere wikiPageWikiLink Riemann_integral.
- Almost_everywhere wikiPageWikiLink Shakespeares_plays.
- Almost_everywhere wikiPageWikiLink Ultrafilter.
- Almost_everywhere wikiPageWikiLink File:Rectangle_example.svg.
- Almost_everywhere wikiPageWikiLinkText "Almost every specific value".
- Almost_everywhere wikiPageWikiLinkText "Almost everywhere".
- Almost_everywhere wikiPageWikiLinkText "a.e.".
- Almost_everywhere wikiPageWikiLinkText "almost all".
- Almost_everywhere wikiPageWikiLinkText "almost every".
- Almost_everywhere wikiPageWikiLinkText "almost everything".
- Almost_everywhere wikiPageWikiLinkText "almost everywhere".
- Almost_everywhere wikiPageWikiLinkText "essentially".
- Almost_everywhere wikiPageWikiLinkText "μ-almost all".
- Almost_everywhere wikiPageUsesTemplate Template:Cite_book.
- Almost_everywhere wikiPageUsesTemplate Template:Multiple_issues.
- Almost_everywhere wikiPageUsesTemplate Template:No_footnotes.
- Almost_everywhere wikiPageUsesTemplate Template:Technical.
- Almost_everywhere subject Category:Mathematical_terminology.
- Almost_everywhere subject Category:Measure_theory.
- Almost_everywhere comment "In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities. The notion of almost everywhere is a companion notion to the concept of measure zero.".
- Almost_everywhere label "Almost everywhere".
- Almost_everywhere sameAs Q1139334.
- Almost_everywhere sameAs Quasi_pertot.
- Almost_everywhere sameAs Skoro_všude.
- Almost_everywhere sameAs Fast_überall.
- Almost_everywhere sameAs Preskaŭ_ĉie.
- Almost_everywhere sameAs Casi_en_todas_partes.
- Almost_everywhere sameAs Melkein_kaikkialla.
- Almost_everywhere sameAs Quasi_ovunque.
- Almost_everywhere sameAs 거의_어디서나.
- Almost_everywhere sameAs Bijna_overal.
- Almost_everywhere sameAs m.0c5c4.
- Almost_everywhere sameAs Почти_всюду.
- Almost_everywhere sameAs Nästan_överallt.
- Almost_everywhere sameAs Майже_скрізь.
- Almost_everywhere sameAs Q1139334.
- Almost_everywhere sameAs 幾乎處處.
- Almost_everywhere wasDerivedFrom Almost_everywhere?oldid=707562434.
- Almost_everywhere depiction Rectangle_example.svg.
- Almost_everywhere isPrimaryTopicOf Almost_everywhere.