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- Almost_everywhere abstract "In measure theory (a branch of mathematical analysis), 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). 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 wikiPageID "44688".
- Almost_everywhere wikiPageRevisionID "602802219".
- Almost_everywhere hasPhotoCollection Almost_everywhere.
- 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 the set of elements for which the property does not hold is a set of measure zero (Halmos 1974). 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.".
- Almost_everywhere label "Almost everywhere".
- Almost_everywhere label "Bijna overal".
- Almost_everywhere label "Casi en todas partes".
- Almost_everywhere label "Quasi ovunque".
- Almost_everywhere label "Почти всюду".
- Almost_everywhere label "幾乎處處".
- Almost_everywhere sameAs Skoro_všude.
- Almost_everywhere sameAs Casi_en_todas_partes.
- Almost_everywhere sameAs Quasi_ovunque.
- Almost_everywhere sameAs 거의_어디서나.
- Almost_everywhere sameAs Bijna_overal.
- Almost_everywhere sameAs m.0c5c4.
- Almost_everywhere sameAs Mx4rvVisCZwpEbGdrcN5Y29ycA.
- Almost_everywhere sameAs Q1139334.
- Almost_everywhere sameAs Q1139334.
- Almost_everywhere wasDerivedFrom Almost_everywhere?oldid=602802219.
- Almost_everywhere isPrimaryTopicOf Almost_everywhere.