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- Negligible_set abstract "In mathematics, a negligible set is a set that is small enough that it can be ignored for some purpose.As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored when studying the integral of a measurable function.Negligible sets define several useful concepts that can be applied in various situations, such as truth almost everywhere.In order for these to work, it is generally only necessary that the negligible sets form an ideal; that is, that the empty set be negligible, the union of two negligible sets be negligible, and any subset of a negligible set be negligible.For some purposes, we also need this ideal to be a sigma-ideal, so that countable unions of negligible sets are also negligible.If I and J are both ideals of subsets of the same set X, then one may speak of I-negligible and J-negligible subsets.The opposite of a negligible set is a generic property, which has various forms.".
- Negligible_set wikiPageID "195132".
- Negligible_set wikiPageLength "4605".
- Negligible_set wikiPageOutDegree "47".
- Negligible_set wikiPageRevisionID "543688701".
- Negligible_set wikiPageWikiLink Almost_everywhere.
- Negligible_set wikiPageWikiLink Baire_space.
- Negligible_set wikiPageWikiLink Category:Mathematical_analysis.
- Negligible_set wikiPageWikiLink Coarse_structure.
- Negligible_set wikiPageWikiLink Complement_(set_theory).
- Negligible_set wikiPageWikiLink Countable_set.
- Negligible_set wikiPageWikiLink Dense_set.
- Negligible_set wikiPageWikiLink Directed_set.
- Negligible_set wikiPageWikiLink Empty_set.
- Negligible_set wikiPageWikiLink Finite_set.
- Negligible_set wikiPageWikiLink Generic_property.
- Negligible_set wikiPageWikiLink Ideal_(set_theory).
- Negligible_set wikiPageWikiLink If_and_only_if.
- Negligible_set wikiPageWikiLink Infinite_set.
- Negligible_set wikiPageWikiLink Interior_(topology).
- Negligible_set wikiPageWikiLink Lebesgue_integration.
- Negligible_set wikiPageWikiLink Lebesgue_measure.
- Negligible_set wikiPageWikiLink Limit_of_a_sequence.
- Negligible_set wikiPageWikiLink Mathematics.
- Negligible_set wikiPageWikiLink Meagre_set.
- Negligible_set wikiPageWikiLink Measurable_function.
- Negligible_set wikiPageWikiLink Measure_(mathematics).
- Negligible_set wikiPageWikiLink Natural_number.
- Negligible_set wikiPageWikiLink Negligible_function.
- Negligible_set wikiPageWikiLink Net_(mathematics).
- Negligible_set wikiPageWikiLink Nowhere_dense_set.
- Negligible_set wikiPageWikiLink Null_set.
- Negligible_set wikiPageWikiLink Open_set.
- Negligible_set wikiPageWikiLink Real_line.
- Negligible_set wikiPageWikiLink Real_number.
- Negligible_set wikiPageWikiLink Set_(mathematics).
- Negligible_set wikiPageWikiLink Sigma-ideal.
- Negligible_set wikiPageWikiLink Subset.
- Negligible_set wikiPageWikiLink Topological_space.
- Negligible_set wikiPageWikiLink Uncountable_set.
- Negligible_set wikiPageWikiLink Union_(set_theory).
- Negligible_set wikiPageWikiLink Upper_and_lower_bounds.
- Negligible_set wikiPageWikiLinkText "Negligible set".
- Negligible_set wikiPageWikiLinkText "negligible set".
- Negligible_set wikiPageWikiLinkText "negligible subsets".
- Negligible_set wikiPageWikiLinkText "negligible".
- Negligible_set wikiPageUsesTemplate Template:Refimprove.
- Negligible_set wikiPageUsesTemplate Template:Reflist.
- Negligible_set subject Category:Mathematical_analysis.
- Negligible_set hypernym Property.
- Negligible_set type Building.
- Negligible_set type Field.
- Negligible_set comment "In mathematics, a negligible set is a set that is small enough that it can be ignored for some purpose.As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored when studying the integral of a measurable function.Negligible sets define several useful concepts that can be applied in various situations, such as truth almost everywhere.In order for these to work, it is generally only necessary that the negligible sets form an ideal; that is, that the empty set be negligible, the union of two negligible sets be negligible, and any subset of a negligible set be negligible.For some purposes, we also need this ideal to be a sigma-ideal, so that countable unions of negligible sets are also negligible.If I and J are both ideals of subsets of the same set X, then one may speak of I-negligible and J-negligible subsets.The opposite of a negligible set is a generic property, which has various forms.".
- Negligible_set label "Negligible set".
- Negligible_set sameAs Q3799162.
- Negligible_set sameAs Insieme_trascurabile.
- Negligible_set sameAs m.01bqg8.
- Negligible_set sameAs Q3799162.
- Negligible_set wasDerivedFrom Negligible_set?oldid=543688701.
- Negligible_set isPrimaryTopicOf Negligible_set.